332354 + Interview Questions in Secondary School in Math

1.	Let A+B = [-7/9 4/3] and A-B = [2/0 0/2]. find A and B.
Answer» ANSWER: USING the IDENTITY ${(a + b)}^{2} = (a + b)(a - b)$ ${(a + b)}^{2} = ( \frac{ - 7}{9} \times \frac{4}{3} )( \frac{2}{0} \times \frac{0}{2} )$ ${(a + b)}^{2} = \frac{ - 28}{27} \times \frac{0}{0}$ ${(a + b)}^{2} = \frac{ - 28}{27}$

1.

Let A+B = [-7/9 4/3] and A-B = [2/0 0/2]. find A and B.

Answer»

ANSWER:

USING the IDENTITY

${(a + b)}^{2} = (a + b)(a - b)$

${(a + b)}^{2} = ( \frac{ - 7}{9} \times \frac{4}{3} )( \frac{2}{0} \times \frac{0}{2} )$

${(a + b)}^{2} = \frac{ - 28}{27} \times \frac{0}{0}$

${(a + b)}^{2} = \frac{ - 28}{27}$

Discussion

2.	What is the fullform of india?
Answer» Step-by-step EXPLANATION: I:Independent N: Nation D: Declared I: in A: AUGUST

2.

What is the fullform of india?

Answer»

Step-by-step EXPLANATION:

I:Independent

N: Nation

D: Declared

I: in

A: AUGUST

Discussion

3.	How the world of mathematics would be without the invention of cartesian plane and coordinate geometry?
Answer» Hlo mate here is ur ans.... A CARTESIAN coordinate system (UK: /kɑːˈtiːzjən/, US: /kɑːrˈtiʒən/) is a coordinate system that specifies each point uniquely in a plane by a SET of numerical coordinates, which are the SIGNED distances to the point from two fixed perpendicular ORIENTED lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0). The coordinates can also be DEFINED as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin. A Cartesian coordinate system (UK: /kɑːˈtiːzjən/, US: /kɑːrˈtiʒən/) is a coordinate system that specifies each point uniquely in a plane by a set of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, n Cartesian coordinates (an element of real n-space) specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are equal, up to sign, to distances from the point to n mutually perpendicular hyperplanes. ❤️❤️Hope this helps u dear❤️❤️ ✌️Pls Mark as brainliest✌️ Don't forget to follow me :)

3.

How the world of mathematics would be without the invention of cartesian plane and coordinate geometry?

Answer»

Hlo mate here is ur ans....

A CARTESIAN coordinate system (UK: /kɑːˈtiːzjən/, US: /kɑːrˈtiʒən/) is a coordinate system that specifies each point uniquely in a plane by a SET of numerical coordinates, which are the SIGNED distances to the point from two fixed perpendicular ORIENTED lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0). The coordinates can also be DEFINED as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.

A Cartesian coordinate system (UK: /kɑːˈtiːzjən/, US: /kɑːrˈtiʒən/) is a coordinate system that specifies each point uniquely in a plane by a set of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0). The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as signed distances from the origin.One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, n Cartesian coordinates (an element of real n-space) specify the point in an n-dimensional Euclidean space for any dimension n. These coordinates are equal, up to sign, to distances from the point to n mutually perpendicular hyperplanes.

❤️❤️Hope this helps u dear❤️❤️

✌️Pls Mark as brainliest✌️

Don't forget to follow me :)

Discussion

4.	WRITE A DIARY ENTRY ON FOOTBALL MATCH WHICH UH HAVE RECENTLY VISITED!!SOLVE THIS!!!!ABHI MEREKO YEH SUBBMIT KARNA HE...JLDI SOLVE KARDO YAAAR
Answer» Answer: Brainliest pls Step-by-step explanation: Date Day TIME (ACCORDING to format) Oh Diary! I'm so happy today! I can't express my feelings! Know what? Today was the foot-ball competition that I mentioned a few days ago. The whole day was a CHAOS but I was very happy when the score was 2-each and only half a minute was left and I passed the all to one of my team-mate and he passed it back to me and I scored a goal for my team and the time was up immediately! Before the match, I felt very nervous and at the same time, I was ALSO very exited for the match. It was an inter-school football match - not a big deal, but, still, everyone feels good on winning something. The captain of our team CALL all the team members before the match and we discussed our strategy. Well, better leave those technical things aside for now and I'll be glad to tell you that our coach, Mr.XYZ and our captain, ABC, have promised a treat for all of us tomorrow in the schools canteen. Oh Yeah! See you tomorrow diary!

4.

WRITE A DIARY ENTRY ON FOOTBALL MATCH WHICH UH HAVE RECENTLY VISITED!!SOLVE THIS!!!!ABHI MEREKO YEH SUBBMIT KARNA HE...JLDI SOLVE KARDO YAAAR

Answer»

Answer:

Brainliest pls

Step-by-step explanation:

Date Day TIME (ACCORDING to format)

Oh Diary! I'm so happy today! I can't express my feelings! Know what? Today was the foot-ball competition that I mentioned a few days ago. The whole day was a CHAOS but I was very happy when the score was 2-each and only half a minute was left and I passed the all to one of my team-mate and he passed it back to me and I scored a goal for my team and the time was up immediately!

Before the match, I felt very nervous and at the same time, I was ALSO very exited for the match. It was an inter-school football match - not a big deal, but, still, everyone feels good on winning something. The captain of our team CALL all the team members before the match and we discussed our strategy.

Well, better leave those technical things aside for now and I'll be glad to tell you that our coach, Mr.XYZ and our captain, ABC, have promised a treat for all of us tomorrow in the schools canteen. Oh Yeah! See you tomorrow diary!

Discussion

5.	State the name of the properties 5/2 + 2/3 = 2/3 + (5/2)
Answer» ANSWER: COMMUTATIVE PROPERTY I THINK

5.

State the name of the properties 5/2 + 2/3 = 2/3 + (5/2)

Answer»

ANSWER:

COMMUTATIVE PROPERTY I THINK

Discussion

6.	Solve it plz i need it fast
Answer» ANSWER: the answer is OPTION D Step-by-step EXPLANATION: ZERO

6.

Solve it plz i need it fast

Answer»

ANSWER:

the answer is OPTION D

Step-by-step EXPLANATION:

ZERO

Discussion

7.	Pls send me bjvid sir ft gcyg
Answer» ANSWER: ok Step-by-step EXPLANATION:

7.

Pls send me bjvid sir ft gcyg

Answer»

ANSWER:

ok

Step-by-step EXPLANATION:

Discussion

8.	1. Rewrite the following in their simplest log form: f=1/2π√lc
Answer» ANSWER: g=4π²l\t² *answer for your question***

8.

1. Rewrite the following in their simplest log form: f=1/2π√lc

Answer»

ANSWER:

g=4π²l\t² answer for your question

Discussion

9.	Simplyfy the following
Answer» Answer: 12 Step-by-step EXPLANATION: FIRST DIVIDE and then multilply then PLUS both the NUMBER

9.

Simplyfy the following

Answer»

Answer:

12

Step-by-step EXPLANATION:

FIRST DIVIDE and then multilply then PLUS both the NUMBER

Discussion

10.	If area of the sector is 36 sq. cm, radius of the sector is 6cm then find the length of the arc
Answer» ANSWER: I think the length of the arc is 1 CM

10.

If area of the sector is 36 sq. cm, radius of the sector is 6cm then find the length of the arc

Answer»

ANSWER:

I think the length of the arc is 1 CM

Discussion

11.	5. Malini can do a piece of work in 20 days, whereasShalini can do it in 25 days. Shalini started the workand after 5 days, Malini joined her. They togethercompleted the remaining work. How many daysdid they take to complete the whole work?1(a) 8(b) 88.(c) 88(d) 1399
Answer» Answer: Options are incorrect but answer in approx is 13 days Let total work is 100 Efficiency of MALINI = 100/20 = 5 Work/ day Efficiency of Shalini = 100/25 = 4 Work/ day Shalini START work and did for 5 days Work DONE in 5 days = 4 X 5 = 20 work Work left = 100-20 = 80 work Now, they start doing work together So, 80/9 So, Now total days 4 + 80/9 $\frac{36 + 80}{9}$ 116/9 days or $12 \times \frac{8}{9}$ or 13 days (approx) HOPE IT HELPS

11.

5. Malini can do a piece of work in 20 days, whereasShalini can do it in 25 days. Shalini started the workand after 5 days, Malini joined her. They togethercompleted the remaining work. How many daysdid they take to complete the whole work?1(a) 8(b) 88.(c) 88(d) 1399

Answer»

Answer:

Options are incorrect but answer in approx is 13 days

Let total work is 100

Efficiency of MALINI = 100/20

= 5 Work/ day

Efficiency of Shalini = 100/25

= 4 Work/ day

Shalini START work and did for 5 days

Work DONE in 5 days = 4 X 5

= 20 work

Work left = 100-20 = 80 work

Now, they start doing work together

So,

80/9

So, Now total days

4 + 80/9

$\frac{36 + 80}{9}$

116/9 days or

$12 \times \frac{8}{9}$

or 13 days (approx)

HOPE IT HELPS

Discussion

12.	True /False:-3! + 2! = 10!and solve..
Answer» ANSWER:False Step-by-step EXPLANATION:

12.

True /False:-3! + 2! = 10!and solve..

Answer»

ANSWER:False

Step-by-step EXPLANATION:

Discussion

13.	Q1)If p(x) = x + 3, then p(x) + p(-x) is equal to
Answer» <P>Answer: p(-X)= -(x+3) Step-by-step EXPLANATION: I think this is correct

13.

Q1)If p(x) = x + 3, then p(x) + p(-x) is equal to

Answer»

<P>Answer:

p(-X)= -(x+3)

Step-by-step EXPLANATION:

I think this is correct

Discussion

14.	If x/a = y/b = z/c , then prove that x3/a3 + y3/b3 + z3/c3 = 3xyz/abc .
Answer» Step-by-step explanation: . let x/a =y/b =z/c =k then (x/a)^3=k^3 =d (y/b)^3=k^3 =E (z/c)^3=k^3 =f then d +e+f = 3k^3 3(x/a)(y/b)(z/c)=(k^3)×3=3k^3=d+e+f (x/a)^3+(y/b)^3+(z/c)^3 = 3xyz/abc HENCE PROVED hence proved

14.

If x/a = y/b = z/c , then prove that x3/a3 + y3/b3 + z3/c3 = 3xyz/abc .

Answer»

Step-by-step explanation:

.

let x/a =y/b =z/c =k

then (x/a)^3=k^3 =d

(y/b)^3=k^3 =E

(z/c)^3=k^3 =f

then d +e+f = 3k^3

3(x/a)(y/b)(z/c)=(k^3)×3=3k^3=d+e+f

(x/a)^3+(y/b)^3+(z/c)^3 = 3xyz/abc

HENCE PROVED

hence proved

Discussion

15.	(ii) p(x) = 5x – T, x=45
Answer» Answer: p(4/5)=4-T Step-by-step explanation: p(x)=5X-T when x=4/5 p(4/5) = 5x(4/5)-T = 4-T HOPE IT HELPS, PLEASE THANK, FOLLOW AND MARK AS BRAINLIEST.

15.

(ii) p(x) = 5x – T, x=45

Answer»

Answer:

p(4/5)=4-T

Step-by-step explanation:

p(x)=5X-T

when x=4/5

p(4/5) = 5x(4/5)-T = 4-T

HOPE IT HELPS,

PLEASE THANK, FOLLOW AND MARK AS BRAINLIEST.

Discussion

16.	find the equation of line passing through straight line (1, 2) and making on angle 60° with line root 3x-y+2=0
Answer» y = 2 or y = √3x + 2 - √3 Step-by-step EXPLANATION: Making ANGLE 60° with √3x + y + 2 = 0 => y = -√3x - 2 Slope = -√3 Let say sloe of other line = m => Tan 60° = \|(m - (-√3)) / (1 + m( -√3))\| => √3 = \| (m + √3) /(1 - m√3) \| SQUARING both SIDES => 3 = (m² + 3 + 2√3m) / (1 + 3m² - 2m√3) => 3 + 9m² - 6m√3 = m² + 3 + 2√3m => 8m² - 8m√3 = 0 => 8m(m - √3) = 0 m = 0 or m = √3 y = C or y = √3x + c passed through 1 , 2 => y = 2 or 2 = √3 + c => c = 2 - √3 => y = √3x + 2 - √3 Hope it helps,Please mark as brainliest

16.

find the equation of line passing through straight line (1, 2) and making on angle 60° with line root 3x-y+2=0

Answer»

y = 2 or y = √3x + 2 - √3

Step-by-step EXPLANATION:

Making ANGLE 60° with √3x + y + 2 = 0

=> y = -√3x - 2

Slope = -√3

Let say sloe of other line = m

=> Tan 60° = |(m - (-√3)) / (1 + m( -√3))|

=> √3 = | (m + √3) /(1 - m√3) |

SQUARING both SIDES

=> 3 = (m² + 3 + 2√3m) / (1 + 3m² - 2m√3)

=> 3 + 9m² - 6m√3 = m² + 3 + 2√3m

=> 8m² - 8m√3 = 0

=> 8m(m - √3) = 0

m = 0 or m = √3

y = C or y = √3x + c

passed through 1 , 2

=> y = 2 or 2 = √3 + c => c = 2 - √3

=> y = √3x + 2 - √3

Hope it helps,Please mark as brainliest

Discussion

17.	1/√6 give a rationalizing factor of the following
Answer» ANSWER: 1/√6×√6/√6=√6/6 Step-by-step EXPLANATION: this 8S the answer

17.

1/√6 give a rationalizing factor of the following

Answer»

ANSWER:

1/√6×√6/√6=√6/6

Step-by-step EXPLANATION:

this 8S the answer

Discussion

18.	1. Express these fractions into their simplest form:25(a)75
Answer» ANSWER: 1/3 or 3 will be the answer I GUESS

18.

1. Express these fractions into their simplest form:25(a)75

Answer»

ANSWER:

1/3 or 3 will be the answer I GUESS

Discussion

19.	5) In a test (+ 5) marks are given for every correct answer and (-2) marks are given for everyincorrect answer.(1) Radhika answered all the questions and scored 30 marks though she got 10 correct answers.(ii) Jay also answered all the questions and scored (-12) marks though he got 4 correct answers.How many incorrect answers had they attempted ?
Answer» ANSWER: $\huge \bf {Sᴏʟᴜᴛɪᴏɴ} :$ (i) Marks given for ONE correct answer = 5 So, marks given for 10 correct answers = 5×10=50 Radhika's Score = 30 Marks OBTAINED for incorrect answers = 30-50=-20 Marks given for 1 incorrect answers = (-2) Therefore,No.of incorrect answers = (-20)÷(-2)=10 (ii) Marks given for 4 correct answers = 5 4 = 20 Jay’s score = –12 Marks obtained for incorrect answers = –12 – 20 = – 32 Marks given for one incorrect answer = (–2) Therefore number of incorrect answers = (–32) ÷ (–2) = 16 $\underline {▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}$ ❥ @amritamohanty1472

19.

5) In a test (+ 5) marks are given for every correct answer and (-2) marks are given for everyincorrect answer.(1) Radhika answered all the questions and scored 30 marks though she got 10 correct answers.(ii) Jay also answered all the questions and scored (-12) marks though he got 4 correct answers.How many incorrect answers had they attempted ?

Answer»

ANSWER:

$\huge \bf {Sᴏʟᴜᴛɪᴏɴ} :$

(i) Marks given for ONE correct answer = 5

So, marks given for 10 correct answers = 5×10=50

Radhika's Score = 30

Marks OBTAINED for incorrect answers = 30-50=-20

Marks given for 1 incorrect answers = (-2)

Therefore,No.of incorrect answers = (-20)÷(-2)=10

(ii) Marks given for 4 correct answers = 5 4 = 20

Jay’s score = –12

Marks obtained for incorrect answers = –12 – 20 = – 32

Marks given for one incorrect answer = (–2)

Therefore number of incorrect answers = (–32) ÷ (–2) = 16

$\underline {▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}$

❥ @amritamohanty1472

Discussion

20.	2.2 3You know that = 0.142857. Can you predict what the decimal expansions of777'4 5 67' 7'7are, without actually doing the long division? If so, how?[Hint : Study the remainders while finding the value of7 carefully.]
Answer» 2. 2 3 You know that = 0.142857. Can you predict what the decimal expansions of 7 77' 4 5 6 7' 7'7 are, without ACTUALLY doing the long division? If so, how? [Hint : Study the REMAINDERS while finding t9z7ruszsgjnzrytjxutldudhxhcufgsgdryFzduduszszdFazfufdtjhbjgb hgdgggfgb hvggglzgcchoufftzz to zzzzzzz is liye bol rhy thy name

20.

2.2 3You know that = 0.142857. Can you predict what the decimal expansions of777'4 5 67' 7'7are, without actually doing the long division? If so, how?[Hint : Study the remainders while finding the value of7 carefully.]

Answer»

2.

2 3

You know that = 0.142857. Can you predict what the decimal expansions of

7

77'

4 5 6

7' 7'7

are, without ACTUALLY doing the long division? If so, how?

[Hint : Study the REMAINDERS while finding t9z7ruszsgjnzrytjxutldudhxhcufgsgdryFzduduszszdFazfufdtjhbjgb hgdgggfgb hvggglzgcchoufftzz to zzzzzzz is liye bol rhy thy name

Discussion

21.	Pls solve this sum faster
Answer» Answer: x3+3x2⋅−5+3x(−5)2+(−5)3 X 3 + 3 x 2 ⋅ - 5 + 3 x ( - 5 ) 2 + ( - 5 ) 3. Simplify each term.... MULTIPLY −5 - 5 by 3 3 . Step-by-step explanation: ✌️please MARK as BRAINLIEST answer✌️

21.

Pls solve this sum faster

Answer»

Answer:

x3+3x2⋅−5+3x(−5)2+(−5)3 X 3 + 3 x 2 ⋅ - 5 + 3 x ( - 5 ) 2 + ( - 5 ) 3. Simplify each term.... MULTIPLY −5 - 5 by 3 3 .

Step-by-step explanation:

✌️please MARK as BRAINLIEST answer✌️

Discussion

22.	Multiply and reduce to lowest form ( if possible)
Answer» WHT should I REDUCE +??????

22.

Multiply and reduce to lowest form ( if possible)

Answer»

WHT should I REDUCE +??????

Discussion

23.	C ABCInthen verify thatsight angle at Bat B , if term A =2 sin A Cos A = 1
Answer» ANSWER: hdsyshdhdd ਦੇ ਲਈ ਹਦਤਕ ਦਾ ਸਭਤੋਂ ਬੜੀ ਪਾਰਟੀ ਦੀ ਕਾਰਗੁਜਾਰੀ ਦਿਖਾਉਣ ਦੇ ਸਮਰੱਥ ਹਨ ਰਣਜੀਤ ਰਾਹੀ ਪਾਂਧੀ ਦੀਆਂ ਕੁਝ ਸਿੱਖਣ ਦੀ ਜ਼ਰੂਰਤ ਨਹੀਂ ਹੈ ਅਤੇ ਉਹ ਪੰਜਾਬ ਨਦਰ ਪਵੇ ਵਿਚ ਵੀ ਕੋਈ ਪਤਾ ਪਹਿਚਾਨ ਏ ਈਦੇ ਨਾਲ ਨਾਲ ਹੀ ਪੁਸਤਕਾਂ ਦੀ ਰਚਨਾ ਕਰਕੇ ਸਕੂਨ ਬਖਸ਼ਦੀ ਦੀ ਕਾਰਗੁਜਾਰੀ ਦੀ ਕਾਰਗੁਜਾਰੀ ਦਾ ਨਾਂ ਹੈ

23.

C ABCInthen verify thatsight angle at Bat B , if term A =2 sin A Cos A = 1

Answer»

ANSWER:

hdsyshdhdd ਦੇ ਲਈ ਹਦਤਕ ਦਾ ਸਭਤੋਂ ਬੜੀ ਪਾਰਟੀ ਦੀ ਕਾਰਗੁਜਾਰੀ ਦਿਖਾਉਣ ਦੇ ਸਮਰੱਥ ਹਨ ਰਣਜੀਤ ਰਾਹੀ ਪਾਂਧੀ ਦੀਆਂ ਕੁਝ ਸਿੱਖਣ ਦੀ ਜ਼ਰੂਰਤ ਨਹੀਂ ਹੈ ਅਤੇ ਉਹ ਪੰਜਾਬ ਨਦਰ ਪਵੇ ਵਿਚ ਵੀ ਕੋਈ ਪਤਾ ਪਹਿਚਾਨ ਏ ਈਦੇ ਨਾਲ ਨਾਲ ਹੀ ਪੁਸਤਕਾਂ ਦੀ ਰਚਨਾ ਕਰਕੇ ਸਕੂਨ ਬਖਸ਼ਦੀ ਦੀ ਕਾਰਗੁਜਾਰੀ ਦੀ ਕਾਰਗੁਜਾਰੀ ਦਾ ਨਾਂ ਹੈ

Discussion

24.	2×9382=x find answer
Answer» ANSWER: 18764 is the answer my DEAR BRAINLY

24.

2×9382=x find answer

Answer»

ANSWER:

18764 is the answer my DEAR BRAINLY

Discussion

25.	Solve for x:- a(a2+b2)x2+b2x-a=0
Answer» ANSWER: HO gaya Step-by-step EXPLANATION: JAI hind Inquilab ZINDABAD

25.

Solve for x:- a(a2+b2)x2+b2x-a=0

Answer»

ANSWER:

HO gaya

Step-by-step EXPLANATION:

JAI hind

Inquilab ZINDABAD

Discussion

26.	Prove that the sum of the angles of a quadrilateral is 360 degree .
Answer» Answer: $\huge\underbrace\mathfrak\red{answer}$ ░▒▓█ HELLO █▓▒░ Proof: In the quadrilateral ABCD, ∠ABC, ∠BCD, ∠CDA, and ∠DAB are the internal angles. AC is a diagonal AC divides the quadrilateral into two triangles, ∆ABC and ∆ADC We have LEARNED that the SUM of internal angles of a quadrilateral is 360°, that is, ∠ABC + ∠BCD + ∠CDA + ∠DAB = 360°. let’s prove that the sum of all the four angles of a quadrilateral is 360 degrees. We know that the sum of angles in a TRIANGLE is 180°. Now CONSIDER triangle ADC, ∠D + ∠DAC + ∠DCA = 180° (Sum of angles in a triangle) Now consider triangle ABC, ∠B + ∠BAC + ∠BCA = 180° (Sum of angles in a triangle) On adding both the equations obtained above we have, (∠D + ∠DAC + ∠DCA) + (∠B + ∠BAC + ∠BCA) = 180° + 180° ∠D + (∠DAC + ∠BAC) + (∠BCA + ∠DCA) + ∠B = 360° We see that (∠DAC + ∠BAC) = ∠DAB and (∠BCA + ∠DCA) = ∠BCD. Replacing them we have, ∠D + ∠DAB + ∠BCD + ∠B = 360° That is, ∠D + ∠A + ∠C + ∠B = 360°. Or, the sum of angles of a quadrilateral is 360°. This is the angle sum property of quadrilaterals

26.

Prove that the sum of the angles of a quadrilateral is 360 degree .

Answer»

Answer:

$\huge\underbrace\mathfrak\red{answer}$

░▒▓█ HELLO █▓▒░

Proof: In the quadrilateral ABCD,

∠ABC, ∠BCD, ∠CDA, and ∠DAB are the internal angles.

AC is a diagonal

AC divides the quadrilateral into two triangles, ∆ABC and ∆ADC

We have LEARNED that the SUM of internal angles of a quadrilateral is 360°, that is, ∠ABC + ∠BCD + ∠CDA + ∠DAB = 360°.

let’s prove that the sum of all the four angles of a quadrilateral is 360 degrees.

We know that the sum of angles in a TRIANGLE is 180°.

Now CONSIDER triangle ADC,

∠D + ∠DAC + ∠DCA = 180° (Sum of angles in a triangle)

Now consider triangle ABC,

∠B + ∠BAC + ∠BCA = 180° (Sum of angles in a triangle)

On adding both the equations obtained above we have,

(∠D + ∠DAC + ∠DCA) + (∠B + ∠BAC + ∠BCA) = 180° + 180°

∠D + (∠DAC + ∠BAC) + (∠BCA + ∠DCA) + ∠B = 360°

We see that (∠DAC + ∠BAC) = ∠DAB and (∠BCA + ∠DCA) = ∠BCD.

Replacing them we have,

∠D + ∠DAB + ∠BCD + ∠B = 360°

That is,

∠D + ∠A + ∠C + ∠B = 360°.

Or, the sum of angles of a quadrilateral is 360°. This is the angle sum property of quadrilaterals

Discussion

27.	Prove 3+4√5 is irrational Pls i neeed steps for this question
Answer» ANSWER: MULTIPLICATION of RATIONAL and IRRATIONAL NUMBER is irrational . So,4√5 is irrational. ... So,3+4√5 is irrational number....

27.

Prove 3+4√5 is irrational Pls i neeed steps for this question

Answer»

ANSWER:

MULTIPLICATION of RATIONAL and IRRATIONAL NUMBER is irrational . So,4√5 is irrational. ... So,3+4√5 is irrational number....

Discussion

28.	I need the answer quick plz help me
Answer» Answer: 360 Step-by-step explanation: $(-2)^{3}$ X $3^{2}$ x 5 = 8 x 9 x 5 = 8 x 45 = 360 Happy LEARNING, mate and PLEASE Mark as BRAINLIEST !!

28.

I need the answer quick plz help me

Answer»

Answer: 360

Step-by-step explanation:

$(-2)^{3}$ X $3^{2}$ x 5

= 8 x 9 x 5

= 8 x 45

= 360

Happy LEARNING, mate and PLEASE Mark as BRAINLIEST !!

Discussion

29.	If 3 cotθ = 4 then (5 sinθ + 3 cosθ )/(5 sinθ -3 cosθ ) = ?
Answer» Step-by-step EXPLANATION: HOPE U LIKE it...........

29.

If 3 cotθ = 4 then (5 sinθ + 3 cosθ )/(5 sinθ -3 cosθ ) = ?

Answer»

Step-by-step EXPLANATION:

HOPE U LIKE it...........

Discussion

30.	Can anyone solve this question PLZZZZZ. I will mark him/her as brainlist......
Answer» $\tt \qquad ( {y}^{2} + 5y)( {y}^{2} + 5y - 2) - 24 = 0 \\ \\ \implies \tt {y}^{2} ( {y}^{2} + 5y - 2) + 5y( {y}^{2} + 5y - 2) - 24 = 0\\ \\ \implies \tt {y}^{4} + 5 {y}^{3} - 2 {y}^{2} + 5 {y}^{3} + 25 {y}^{2} - 10y - 24 = 0\\ \\ \implies \tt {y}^{4} + (5 + 5) {y}^{3} + (25 - 2) {y}^{2} - 10y - 24 = 0\\ \\ \tt \implies {y}^{4} + 10 {y}^{3} + 23 {y}^{2} - 10y - 24 = 0 \\ \\$ THEREFORE, $\tt sum \: \: of \: \: zeroes. \: \alpha + \beta + \gamma + \delta = - \frac{10}{1} = ( - 10) \\ \\ \tt sum \: \: of \: \: zeroes \: \: taken \: \: product \: \: of \: \: two \: \: zeroes \: \: at \: \: a \: \: time. \\ \alpha \beta + \alpha \gamma + \alpha \delta + \beta \gamma + \beta \delta + \gamma \delta = \frac{23}{1} = 23 \\ \\ \\ \tt sum \: \: of \: \: zeroes \: taken \: \: product \: \: of \: \: three \: \: at \: \: a \: \: time. \\ \alpha \beta \gamma + \alpha \beta \delta + \beta \gamma \delta + \alpha \gamma \delta = - \frac{( - 10)}{1} = 10 \\ \\ \\ \tt product \: \: of \: \: zeroes. \: \alpha \beta \gamma \delta = - \frac{( - 24)}{1} = 24$

Discussion

31.	एक समलंब चतुर्भुज का क्षेत्रफल 1400वर्ग मीटर है यदि इसकी समांतर भुजाओं में 3 अनुपात 4 का अनुपात और उनके बीच की दूरी 20मीटर है तो समांतर भुजाएं ज्ञात कीजिए
Answer» 60 और 80 उस समलंब चतुर्भुज की समांतर भुजाएं होंगी

Discussion

32.	How to mark axis in graph through diagram please
Answer» ANSWER: i HOPE it will HELP you GIVE THANKS

32.

How to mark axis in graph through diagram please

Answer»

ANSWER:

i HOPE it will HELP you

GIVE THANKS

Discussion

33.	12 m2 is the area of: (a) a square with side 12m (b) 12 squares with side 1 m each (c) 3 squares with side 4 m each (d) 4 squares with side 3 m each
Answer» ANSWER: B. 12 SQUARES with 1m side each

33.

12 m2 is the area of: (a) a square with side 12m (b) 12 squares with side 1 m each (c) 3 squares with side 4 m each (d) 4 squares with side 3 m each

Answer»

ANSWER:

B. 12 SQUARES with 1m side each

Discussion

34.	Pls bbghxybvdfggcddf
Answer» ANSWER: 1 is the answer of this question Step-by-step explanation: let, g (X) = x+1 g (×) = x+1 x+1 =0 x = -1 p (x) = x^140 + 2x^151 + k p (-1) = (-1)^140 + 2 × (-1)^151 + k = 0 = 1 + 2×(-1) + k = 0 = 1 -2 + k = 0 = -1 + k = 0 = k = 1

34.

Pls bbghxybvdfggcddf

Answer»

ANSWER:

1 is the answer of this question

Step-by-step explanation:

let, g (X) = x+1

g (×) = x+1

x+1 =0

x = -1

p (x) = x^140 + 2x^151 + k

p (-1) = (-1)^140 + 2 × (-1)^151 + k = 0

= 1 + 2×(-1) + k = 0

= 1 -2 + k = 0

= -1 + k = 0

= k = 1

Discussion

35.	Factorise: (p+q)2 + 2(p+q)-3
Answer» ANSWER: Let p+q = X x^2 + 2X -3 x^2 + 3x -x -3 x(x+3) -1(x+3) (x-1 ) (x+3)

35.

Factorise: (p+q)2 + 2(p+q)-3

Answer»

ANSWER:

Let p+q = X

x^2 + 2X -3

x^2 + 3x -x -3

x(x+3) -1(x+3)

(x-1 ) (x+3)

Discussion

36.	If z1 = 7+5i and z2 = 6-4i2, the value of z1+z2 is……A) -4+7iB) 70+50iC) 60+50iD) 14+10i
Answer» ANSWER: $body{margin: 0;padding: 0;}.loader{border-radius: 50%;width: 20px;height: 20px;border-top: 15px solid black;border-right: 15px solid black;border-bottom: 15px solid black;border-left: 15px solid black;animation : spin 1s linear infinite;background-color: black;text-align: center;margin-top: 20px;float: left;position: absolute;top: 45px;color: #fff;font-size: 25px;}#one{margin-left: 50px;border-top: 15px solid black;border-right: 15px soli blact;border-bottom: 15px solid black;border-left: 15px solid black;left: 94px;}@keyframes spin{0%{transform: rotate(0deg);}100%{transform: rotate(360deg);}}.move{animation: move 10s linear infinite;position: absolute;top: 300px;transform: scalex(0.5);height: 40px;}@keyframes move{0%{transform: translatex(-150px);}100%{transform: translatex(370px);}}.car{background-color: #ff0;width: 200px;height: 90px;border-radius: 50% 90% 30% 0;position: absolute;top: 0px;border-top: 4px solid black;border-bottom: 4px solid black;}.bulb{background-color: #f00;box-shadow: 0px 0px 15px #f00;width: 20px;height: 10px;border-radius: 30% 80% 50% 0;position: absolute;top: 32px;}.bulb2{background-color: #ff8e00;box-shadow: 0px 0px 15px #ff8e00;width: 10px;height: 10px;border-radius: 50% 50% 50% 50%;position: absolute;top: 45px;}.bulb1{background-color: #fff;box-shadow: 0px 0px 20px #fff;width: 15px;height: 15px;border-radius: 50% 50% 50% 50%;position: absolute;top: 45px;left: 184px;transform: rotatey(70deg);}.window{background-color: #111;//box-shadow: 0px 0px 15px #fff;width: 20px;height: 20px;border-radius: 0% 100% 0% 0%;position: absolute;top: 15px;left: 120px;transform: scale(3,1.5);}.window2{background-color: #111;//box-shadow: 0px 0px 15px #fff;width: 20px;height: 20px;border-radius: 0% 0% 0% 0%;position: absolute;top: 15px;left: 66px;transform: scale(2,1.5);}.window3{background-color: #111;//box-shadow: 0px 0px 15px #777;width: 20px;height: 20px;border-radius: 100% 0% 0% 40%;position: absolute;top: 15px;left: 25px;transform: scale(1.5,1.5);}.line{background-color: #000;color: #ff0;width: 199px;height: 10px;position: absolute;border-radius: 0 20px 0 0;top: 50px;left: 0px;font-size: 10px;text-align: center;word-spacing: 7px;}.line2{background-color: #dd0;width: 1px;height: 90px;position: absolute;top: 4.8px;left: 51.9px;}.line3{background-color: #dd0;width: 1px;height: 88px;position: absolute;top: 4.8px;left: 96.9px;}.sky{background-color: #000;height: 100vh;width: 100%;}.road{background-color: #111;height: 200px;width: 100%;position: absolute;top: 360px;}.center{//height: 20px;width: 100%;position: absolute;top: 440px;border-top: 10px solid #ff0;border-style: dashed;}.ground{background-color: #030;height: 200px;width: 100%;position: absolute;top: 200px;border-top: 50px solid #461c0b;}.moon{background-color: #fff;position: absolute;width: 250px;height: 250px;top: 0;border-radius: 50%;left: 2px;transform: scale(0.2,0.2);box-shadow: 0px 0px 400px white;}.taxi{background-color: #ff0;box-shadow: 0px 0px 25px #ff0;width: 30px;height: 10px;border-radius: 100% 100% 0% 0%;position: absolute;top: -9px;left: 65px;text-align: center;font-size: 10px;}TAXI TAXI TAXI TAXI TAXI TAXI TAXITAXI..$ Options no. C)

36.

If z1 = 7+5i and z2 = 6-4i2, the value of z1+z2 is……A) -4+7iB) 70+50iC) 60+50iD) 14+10i

Answer»

ANSWER:

$body{margin: 0;padding: 0;}.loader{border-radius: 50%;width: 20px;height: 20px;border-top: 15px solid black;border-right: 15px solid black;border-bottom: 15px solid black;border-left: 15px solid black;animation : spin 1s linear infinite;background-color: black;text-align: center;margin-top: 20px;float: left;position: absolute;top: 45px;color: #fff;font-size: 25px;}#one{margin-left: 50px;border-top: 15px solid black;border-right: 15px soli blact;border-bottom: 15px solid black;border-left: 15px solid black;left: 94px;}@keyframes spin{0%{transform: rotate(0deg);}100%{transform: rotate(360deg);}}.move{animation: move 10s linear infinite;position: absolute;top: 300px;transform: scalex(0.5);height: 40px;}@keyframes move{0%{transform: translatex(-150px);}100%{transform: translatex(370px);}}.car{background-color: #ff0;width: 200px;height: 90px;border-radius: 50% 90% 30% 0;position: absolute;top: 0px;border-top: 4px solid black;border-bottom: 4px solid black;}.bulb{background-color: #f00;box-shadow: 0px 0px 15px #f00;width: 20px;height: 10px;border-radius: 30% 80% 50% 0;position: absolute;top: 32px;}.bulb2{background-color: #ff8e00;box-shadow: 0px 0px 15px #ff8e00;width: 10px;height: 10px;border-radius: 50% 50% 50% 50%;position: absolute;top: 45px;}.bulb1{background-color: #fff;box-shadow: 0px 0px 20px #fff;width: 15px;height: 15px;border-radius: 50% 50% 50% 50%;position: absolute;top: 45px;left: 184px;transform: rotatey(70deg);}.window{background-color: #111;//box-shadow: 0px 0px 15px #fff;width: 20px;height: 20px;border-radius: 0% 100% 0% 0%;position: absolute;top: 15px;left: 120px;transform: scale(3,1.5);}.window2{background-color: #111;//box-shadow: 0px 0px 15px #fff;width: 20px;height: 20px;border-radius: 0% 0% 0% 0%;position: absolute;top: 15px;left: 66px;transform: scale(2,1.5);}.window3{background-color: #111;//box-shadow: 0px 0px 15px #777;width: 20px;height: 20px;border-radius: 100% 0% 0% 40%;position: absolute;top: 15px;left: 25px;transform: scale(1.5,1.5);}.line{background-color: #000;color: #ff0;width: 199px;height: 10px;position: absolute;border-radius: 0 20px 0 0;top: 50px;left: 0px;font-size: 10px;text-align: center;word-spacing: 7px;}.line2{background-color: #dd0;width: 1px;height: 90px;position: absolute;top: 4.8px;left: 51.9px;}.line3{background-color: #dd0;width: 1px;height: 88px;position: absolute;top: 4.8px;left: 96.9px;}.sky{background-color: #000;height: 100vh;width: 100%;}.road{background-color: #111;height: 200px;width: 100%;position: absolute;top: 360px;}.center{//height: 20px;width: 100%;position: absolute;top: 440px;border-top: 10px solid #ff0;border-style: dashed;}.ground{background-color: #030;height: 200px;width: 100%;position: absolute;top: 200px;border-top: 50px solid #461c0b;}.moon{background-color: #fff;position: absolute;width: 250px;height: 250px;top: 0;border-radius: 50%;left: 2px;transform: scale(0.2,0.2);box-shadow: 0px 0px 400px white;}.taxi{background-color: #ff0;box-shadow: 0px 0px 25px #ff0;width: 30px;height: 10px;border-radius: 100% 100% 0% 0%;position: absolute;top: -9px;left: 65px;text-align: center;font-size: 10px;}TAXI TAXI TAXI TAXI TAXI TAXI TAXITAXI..$

Options no. C)

Discussion

37.	L.C.M of(2x²-3x - 2)(x - 4x +4x) is :(A)x(x-2)(2x + 1)(B) x(x - 2)(2x +1)(C) x(x - 2)(2x + 1)(D) (x-2)(2x +1)
Answer» ANSWER: LCM of (2x^2-3x-2) (X-4x+4x) is : C. =x(x-2)(2x+1).

37.

L.C.M of(2x²-3x - 2)(x - 4x +4x) is :(A)x(x-2)(2x + 1)(B) x(x - 2)(2x +1)(C) x(x - 2)(2x + 1)(D) (x-2)(2x +1)

Answer»

ANSWER:

LCM of

(2x^2-3x-2)

(X-4x+4x) is :

C. =x(x-2)(2x+1).

Discussion

38.	What is the number(s) of zeroes that a quadratic polynomialhas/have: *ооооIf one of the zeroes of the quadratic polynomial
Answer» ANSWER: QUADRATIC POLYNOMIAL have TWO ZEROS

38.

What is the number(s) of zeroes that a quadratic polynomialhas/have: *ооооIf one of the zeroes of the quadratic polynomial

Answer»

ANSWER:

QUADRATIC POLYNOMIAL have TWO ZEROS

Discussion

39.	Complete the following table with appropriate answer for the given pair of the linear equationstep by step samjh a o
Answer» Step-by-step explanation: YOUTUBE peh DEKHO, bennah table keh answer KESE doh

39.

Complete the following table with appropriate answer for the given pair of the linear equationstep by step samjh a o

Answer»

Step-by-step explanation:

YOUTUBE peh DEKHO, bennah table keh answer KESE doh

Discussion

40.	The factors of (x* +625) are -(A) (x2 – 25), (x² +25)(B) (x² +25), (x² +25)(C) (x2 - 10x + 25), (x² + 5x + 25)(D) Do not exist
Answer» ANSWER: Step-by-step EXPLANATION: A

40.

The factors of (x* +625) are -(A) (x2 – 25), (x² +25)(B) (x² +25), (x² +25)(C) (x2 - 10x + 25), (x² + 5x + 25)(D) Do not exist

Answer»

ANSWER:

Step-by-step EXPLANATION:

A

Discussion

41.	if the line segment joining the points A(4,-5) and B (4,5) is divided by the point P such that AP/AB = 2/5 . find the coordinates of P .
Answer» ANSWER: M sorry MUJHE nahin PATA Google Mein jakar SOCHA aapko answer pura mil jaega

41.

if the line segment joining the points A(4,-5) and B (4,5) is divided by the point P such that AP/AB = 2/5 . find the coordinates of P .

Answer»

ANSWER:

M sorry MUJHE nahin PATA Google Mein jakar SOCHA aapko answer pura mil jaega

Discussion

42.	Please solve the question please
Answer» ANSWER: SORRY I don't ok thanks you

42.

Please solve the question please

Answer»

ANSWER:

SORRY I don't ok

thanks you

Discussion

43.	Which of the following number is an irrational number 6/ 13 5/125 3/100 0.9
Answer» Step-by-step EXPLANATION: it is 0.9 hope this helps. please MARK as BRAINLIEST if HELPED.

43.

Which of the following number is an irrational number 6/ 13 5/125 3/100 0.9

Answer»

Step-by-step EXPLANATION:

it is 0.9

hope this helps.

please MARK as BRAINLIEST if HELPED.

Discussion

44.	1Q5. Differentiate log^x w.r.t. 1/x
Answer» Step-by-step EXPLANATION: LOG (X) = INTEGRATION of 1/x; d/dx (LOGX) = 1/x

44.

1Q5. Differentiate log^x w.r.t. 1/x

Answer»

Step-by-step EXPLANATION:

LOG (X) = INTEGRATION of 1/x;

d/dx (LOGX) = 1/x

Discussion

45.	(x
Answer» ★ $\large\color{red} \mathrm{Hey \: There!}$ ★ (X + 5) × 3 = 3X + 15

45.

(x

Answer»

★ $\large\color{red} \mathrm{Hey \: There!}$ ★

(X + 5) × 3

= 3X + 15

Discussion

46.	1.write the following in decimal from and say what kind of decimal expansion each has: (I) 36/100
Answer» ANSWER: 36/100 = 0.36 It is TERMINATING and non-recurring DECIMAL EXPANSION.

46.

1.write the following in decimal from and say what kind of decimal expansion each has: (I) 36/100

Answer»

ANSWER: 36/100 = 0.36

It is TERMINATING and non-recurring DECIMAL EXPANSION.

Discussion

47.	Find the value of 2p(2) + 5 if p(x) has (x-2) as it's factor
Answer» <P>Step-by-step explanation: let p(x) = (x-2) q(x) then PUT x=2 ; LHS= p(2) RHS = 0 p(2) =0 ; 2p(2) +5 2(0) +5 ans = 5

47.

Find the value of 2p(2) + 5 if p(x) has (x-2) as it's factor

Answer»

<P>Step-by-step explanation:

let p(x) = (x-2) q(x)

then PUT x=2 ;

LHS= p(2) RHS = 0

p(2) =0 ;

2p(2) +5

2(0) +5

ans = 5

Discussion

48.	L. C. M of 12,96 step by step please answer me fast
Answer» ANSWER: $\text{[math]}$ LCM=96..

48.

L. C. M of 12,96 step by step please answer me fast

Answer»

ANSWER:

$\text{[math]}$ LCM=96..

Discussion

49.	Suitable algebraic identity toevaluate 95 x 102 is *
Answer» 95×102 (100-5)(100+2) (100)²+(2-5)100-10 10000-300-10 =>9690

49.

Suitable algebraic identity toevaluate 95 x 102 is *

Answer»

95×102

(100-5)(100+2)

(100)²+(2-5)100-10

10000-300-10

=>9690

Discussion

50.	In the figure, triangle ABC ≅ triangle ADE. AFC, BDC and DFE are straight lines. Find ∠BAD (will mark brainliest)
Answer» Answer: TRIANGLE ABC ~= Triangle ADE Therefore, angle BAC = angle DAE Subtract ANGLE DAF from both sides BAC - DAF = DAE - DAF angle BAD = angle FAE therefore, angle BAD = 36° FOLLOW ME MARK ME AS THE BRAINLIEST THANK ME

50.

In the figure, triangle ABC ≅ triangle ADE. AFC, BDC and DFE are straight lines. Find ∠BAD (will mark brainliest)

Answer»

Answer:

TRIANGLE ABC ~= Triangle ADE

Therefore,

angle BAC = angle DAE

Subtract ANGLE DAF from both sides

BAC - DAF = DAE - DAF

angle BAD = angle FAE

therefore, angle BAD = 36°

FOLLOW ME

MARK ME AS THE BRAINLIEST

THANK ME

Discussion

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Solve it plz i need it fast

Pls send me bjvid sir ft gcyg

1. Rewrite the following in their simplest log form: f=1/2π√lc

Simplyfy the following

If area of the sector is 36 sq. cm, radius of the sector is 6cm then find the length of the arc

5. Malini can do a piece of work in 20 days, whereasShalini can do it in 25 days. Shalini started the workand after 5 days, Malini joined her. They togethercompleted the remaining work. How many daysdid they take to complete the whole work?1(a) 8(b) 88.(c) 88(d) 1399

True /False:-3! + 2! = 10!and solve..

Q1)If p(x) = x + 3, then p(x) + p(-x) is equal to

If x/a = y/b = z/c , then prove that x3/a3 + y3/b3 + z3/c3 = 3xyz/abc .

(ii) p(x) = 5x – T, x=45

find the equation of line passing through straight line (1, 2) and making on angle 60° with line root 3x-y+2=0

1/√6 give a rationalizing factor of the following

1. Express these fractions into their simplest form:25(a)75

2.2 3You know that = 0.142857. Can you predict what the decimal expansions of777'4 5 67' 7'7are, without actually doing the long division? If so, how?[Hint : Study the remainders while finding the value of7 carefully.]

Pls solve this sum faster

Multiply and reduce to lowest form ( if possible)

C ABCInthen verify thatsight angle at Bat B , if term A =2 sin A Cos A = 1

2×9382=x find answer

Prove that the sum of the angles of a quadrilateral is 360 degree .

I need the answer quick plz help me

If 3 cotθ = 4 then (5 sinθ + 3 cosθ )/(5 sinθ -3 cosθ ) = ?

Can anyone solve this question PLZZZZZ. I will mark him/her as brainlist......

How to mark axis in graph through diagram please

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Factorise: (p+q)2 + 2(p+q)-3

L.C.M of(2x²-3x - 2)(x - 4x +4x) is :(A)x(x-2)(2x + 1)(B) x(x - 2)(2x +1)(C) x(x - 2)(2x + 1)(D) (x-2)(2x +1)

What is the number(s) of zeroes that a quadratic polynomialhas/have: *ооооIf one of the zeroes of the quadratic polynomial

Complete the following table with appropriate answer for the given pair of the linear equationstep by step samjh a o

The factors of (x* +625) are -(A) (x2 – 25), (x² +25)(B) (x² +25), (x² +25)(C) (x2 - 10x + 25), (x² + 5x + 25)(D) Do not exist

if the line segment joining the points A(4,-5) and B (4,5) is divided by the point P such that AP/AB = 2/5 . find the coordinates of P .

Please solve the question please

Which of the following number is an irrational number 6/ 13 5/125 3/100 0.9

1Q5. Differentiate log^x w.r.t. 1/x

(x

1.write the following in decimal from and say what kind of decimal expansion each has: (I) 36/100

L. C. M of 12,96 step by step please answer me fast

$\text{[math]}$ LCM=96..

Suitable algebraic identity toevaluate 95 x 102 is *