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angle 3 + 136°=180°(linear pair)angle 3= 44°angle 2 + 104°= 180°(linear pair)angle 2= 76°angle 1+ angle 2 +angle 3=180°(sum of angles of the triangle)then angle 1= 60°

its a correct ans.. i also solved this

here f stands for a function.therefore f(x) is function of x.so the correct option is a.

29-7x=43-7x=43-29-7x=14x=14/-7x=-2

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The common difference of the given AP is -4 -(0) = -4.Thank you for your question.

= second term -first term = -4-0= 44 is the common difference of the following A.P.

so the common difference a2-a1=-4

log2^64= 64 log2 = 64 x .3010 = 19.264

Its characteristic is 19.Hence, then number of digits in 264is 20.

Given,ABCD is a ||gm and P is a pt on CDR.T.P : Area of triangle APD+Area of triangle BCP = Area of triangle ABPNow,triangle APD + triangle BCP +triangle ABP = ||gm ABCD ...(i)but,by the theorem on area,13.4,which states that the area of a triangle lying on the same base and between the same parallel lines as of the ||gm has area equal to half of that of the parallelogram.=>area of triangle ABP=1/2 area of ||gm ABCD ...(ii)from (i) and (ii),we have,area of trian. APD +area of trian.BCP + 1/2 area of ||gm ABCD=area of ||gm ABCDarea of trian. APD + area of trian. BCP=(1-1/2)area of ||gm ABCD =1/2 area of ||gm ABCD =Area of triangle APB (from (ii)).Hence, proved.

14 7/12% = 175/12 % Mango tree so other tree are 100 - 175/12 = (1200-175)/12 = 1025/12 = 85 5/12% Total tree = 240 Other trees are 1025*240 / (12×100) = 1025×2 / 10 = 1025/5 = 205

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14 7/12% = 175/12 % Mango tree so other tree are 100 - 175/12 = (1200-175)/12 = 1025/12 = 85 5/12% Total tree = 240 Other trees are 1025*240 / (12×100) = 1025×2 / 10 = 1025/5 = 205

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4

65 = 13 × 5

117= 3² x 13

HCF = 13

how 13 came

but it correct answer

Given numbers are 25 and 65

Prime factorization of 25 = 5 x 5

Prime factorization of 65 = 5 x 13

HCF of 25 and 65 = 5

LCM of 25 and 65= 5 x 5 x 13 = 325

Product of the given numbers = 25 x 65 = 1, 625

Product of their HCF and LCM = 5 x 325 = 1, 625

Therefore, Product of the number = Product of their HCF and LCM

Euclid's Division Lemma :-a = bq +r

117 > 65

117 = 65 × 1 + 52 ----> [ 2 ]

65 = 52 x 1 + 13 -----> [1]

52 = 13 x 4 + 0

HCF = 13

13 = 65m + 117n

From [ 1] ,13 = 65 - 52 x 1

From [2] ,52 = 117 - 65 x 1 ----> [3]

Hence ,

13 = 65 - [ 117 - 65 x 1 ] ------> from [3]

= 65 x 2 - 117

= 65 x 2 + 117 x [-1 ]

m = 2n = -1

explains the process

600 oranges are in rest of tree

total trees in garden = 2000number mango tree=2000×12/100 =240number of lemon tree=2000×18/100 =360number of orange trees = Total trees in garden - (number of mango trees + number of lemon tree )=2000-(240+360)=2000-600=1400there are 1400 orange trees in garden.

total trees are 2000mango trees= 12/100×2000= 12×20=240lemon trees= 18/100×2000=18×20=360no of orange trees are 2000-240-360=1400

number of orange trees in %=100%-(12%+18%)=100%-30%=70%no. of orange trees=70% of 2000=70/100 × 2000=0.7×2000=1400trees ans.

1 hectare=100 dam²16 hectares=1600 dam²

Area of triangle=(1/2)base*height1600=(1/2)base*40400*2=base

base=800dam

The lotus flower is 1/2 m above the surface of the lake. Let us assume water has a depth y, then length of the stem will be (y + 1/2). The length of the stem is same. Now the distance of stem from original position(base) is 2 m

Taking water to be horizontal and stem to be straight(right angle(imagination),

using pythagoras theorem we have,

(y + 1/2)^2 = y^2 + 2^2

y^2 + 1/4 + 2. y. 1/2 = y^2 + 4

y^2 + 4 = y^2 + 1/4 + y

y = 4 - 1/4

y = 15 / 4

y = 3.7 m

Depth of lake is 3.7 m

Area = base*height= 15*8= 120 dam²= 12000 m²Cost = Rate*Area= 10*12000= 120000 paise= ₹ 1200

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1m-1000km 9×100 900m-ans

65 = 5 × 1390 =2 × 3 × 3 × 5

HCF(65, 90) = 5

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65=5×1390=2×45 =2×3×15 =2×3×3×5Common factors = 5Therefore HCF of 65 & 90 is 5.

The square root of 1764 by prime factorization, we get

1764 = 2 x 2 x 3 x 3 x 7 x 7.

√1764 = √(2 x 2x3 x 3x7 x 7)

= 2 x 3 x 7

Therefore, √1764 = 42.

p(x)=x⁴+x³-2x²+x+1g(x)=x+1

since x+1=0x=-1thus p(-1)=(-1)⁴+(-1)³-2(-1)²+(-1)+1=1-1-2-1+1=-2Thus remainder=-2

Total trees=360Orange trees=(3/4)*360=3*90=270

Total Number of trees=number of mango trees + number of pineapple trees + number of Banana trees=35 + 22 + 18=75

= 33, 44 and 66 are all multiples of 11. There is no other table in which all three of them come together, except 1 table. Hence, the number is 11.

Any no .the digit only same is divisible by 11

Thank you

Let A got x and B got 28730-xci of A = ci of B ci = p{ (1+r/100)^n -1}x { (1 +10/100)^3-1}=(28730-x){ (1+10/100)^5 -1}x { (1331 -1000)/1000}=(28730-x){161051-100000}/10000033100x=(28730-x)6105133100x=1753995230-61051x94151x=1753995230x=18629.59A got 18629.59B got 28730-18629.59=10100.40

250 dm is right answer

multiply the length value by 100 2.5*100 =250 dm

250 dm is wright answer

250dm is correct answer

250 dm is correct answer.

first term =24 , common difference = --4

Sn = n / 2 { 2a + (n-1)d } = 72

n / 2 { 2 x24 + (n - 1) x-4} = 72

n { 48 -4n +4 } = 72x2 = 144

n(52 - 4n } = 144 ===> 4n^2 - 52n + 144 = 0

n^2 - 13n +36 = 0 ===> n = -9 , -4 { number of terms should be positive so n = 9 , 4}

no of terms is equal to 9 & 4

total purchase=343008total distribution=323886the cakes left are 343008-323886=19122

total answer is 19122

343008-323886=19122 cakes were left

given 343008 were purchased 323886 were distributed then we should subtract 343008-32388619122 cakes were left

343008-323886=19122 🍰 were left

20,122 is the answer of the following

correct answer is 19122 we're left

20, 122 is the answer of the following of question

first do the subtraction of both the number 343008 -323886then answer is 20,122

19122 is the right answer

total purchase =343008total distribution=323886Cake left =343008-323886=19122

4 decametre = 4000 cm

(x^4 - 1) = (x^2 + 1)(x^2 - 1)= (x^2 + 1)(x - 1)(x + 1).

(x^4 - 1) / [ (x^2 + 1)(x + 1)]= [ (x^2 + 1)(x - 1)(x + 1) ] / [ (x^2 + 1)(x + 1)]= x - 1