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m= y2-y1/x2-x1m= -2+1/2-1m= -1y-y1= m(x-x1)y-(-1)= -1(x-1)y+1= -x+1

It's a linear pair of anglesand we know sum of these linear angles will be 180°so as <3= 7x+5( alternative interior angles)and <4= 3x+5(same as above)10x+10= 180x= 17°angle 1= (17*3+5)= 56= angle 4angle 3= (180-56)= 124°= angle 2

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Cost of 1 pen =30Cost of 5 pens=30*5=150RsCost of 15 pencils=150 RsCost of 1 pencil=150/15=10 RsCost of 7 pencils=10*7=70RsCost of 4 pens=30*4=120Rs

Total students=400Students like maths=160Probability=160/400=4/10=2/5

B) H=5

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any no. when multiplied with 0 , the result is always 0.any no. when multiplied with 1 , the result is always same as the original no.

here are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity and distributive properties.

Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example 4 * 2 = 2 * 4

Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. For example (2 * 3) * 4 = 2 * (3 * 4)

Multiplicative Identity Property: The product of any number and one is that number. For example 5 * 1 = 5.

Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3

a=15d=6l=99no of terms= 15sum of all 2 digit odd multiples of 3 =15÷2(a+l)=15÷2(15+99)855

final answer is 855 for this

Correct Ans =855a =15d=6an =16By Sn formula of AP.correct Ans =855

- me ni aega

The numerical coefficient of -y is -1

option B is correct

solving me my next doubt

thaamx bhaii

it's an incomplete question

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Thanks

Given breadth = 6.5 cmLength = 2*6.5 = 13 cm

Perimeter of ractangle= 2 (length + breadth)= 2 (13 + 6.5)= 2 (19.5)= 39 cm

b is correct option

A as 104 ×1by 2= 54,104×1by4=26

B. 48 is the right answer

Area=528Breadth =xLength =2x+1X(2x+1)=5282x^2+x-528=0B=13.3L=27.6

length=27.6 and breadth= 13.3 may be

nice one............................

Sum of all angles in a regular n sided polygon is (n-2)180°Pentagon (n=5)=(5-2)*180=3*180=540°

Number of diagonals in a polygon =n(n-3)/2where n is the number of sides of the polygon.(1) Number of sides in a pentagon = 5Number of diagonals =5(5-3)/2= 5

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Ans :- The sum of all the angles is540 degrees.the measure of the interior angle of a regular pentagon is108 degrees.

right. thank you friend

The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to half of it.

Take a triangle ABC,E and F are the mid-points of side AB and AC resp.

Construction:-Through C,draw a line II BA to meet EF produced at D.

Proof:-In Triangle AEF and CDF1.AF=CF(F is midpoint of AC)2.<AFE=<CFD (Vertically opp. angles)3.<EAF=<DCF [Alt. angles,BA II CD(by construction) and AC is a transversal]4.So,Triangle AEF = CDF(ASA)5.EF=FD AND AE = CD (c.p.c.t)6.AE=BE(E is midpoint of AB)7.BE=CD(from 5 and 6)8.EBCD is a IIgm [BA II CD (by construction) and BE = CD(from 7)]9.EF II BC AND ED=BC (Since EBCD is a IIgm)10.EF = 1/2 ED (Since EF = FD,from 5)11.EF = 1/2 BC (Since ED = BC,from 9)Hence,EF II BC AND EF = 1/2 BC which proves the mid-point theorem.

o understand the sum of interior angles in a polygon, we should be aware of the following

The sum of all interior angles in a triangle is 180 degSum of all angles around a point is 360 degThe proof of the first property is fairly simple. Refer to the diagram below :

Next, let’s consider a pentagon. Let P be an interior point. Now, by connecting all the sides to this point we can form 5 triangles as shown in the figure. Sum of interior angles of the pentagon will be = sum of int. angles of all the triangles - sum of angles around the point.

i.e, S=5×180−360

This concept can be extended to the general case of n-sided polygon. Again, we’ll be able to form n triangles using the sides and any one unique interior point.

S=n× (sum of angles in a triangle) − (sum of angles around a point)

S=n×180−360

⇒ S=(n−2)×180

In case of pentagon, as discussed already in the above example, we’ll get S=540

Now, since each angle in a regular pentagon will be equal, we can safely conclude that all of them will have a value =5405=108 degrees

To get the value in radians, you should know the conversion factor, else you can learn it straight away.

180 degrees = π radians

⇒ 1 degree = π180 radians

⇒ 108 degrees = 108×π180 radians = 0.6π=3π5

the number of a degree in each exterior angle of a regular pentagon is is each exterior angle equals to 360 upon n is 5 exterior angle is 60 upon 5 equal to 72

√3² + 2√3√7 + √7²

= 3+7+2√21

= 10+2√21

= 2(5+√21)

ansher

We know that(a+b)^2= a^2+b^2+2ab

= 7+5+2√3512+2√35

√2 +√7 = a/b (where a and b are co-prime)√7 = a/b -√2Squaring both sidesa²/b² - 2√2a/b + 2 = 7a²/b² - 5 = 2√2a/b(a² - 5b²) / 2ab =√2

√2 is an irrational number .This contradicts the fact that√2 is irrational . So , our assumption is wrong.Hence , √2 +√7 is irrational.

V7+V2 x V7-V2/V7-V2= (V7)^2-(V2)^2/V7-V2=7-2/V7-V2=5/V7-V2

degree of polynomial is 0 here.

Let √7 be rationalLet √7 = a / b wher a,b are integers b ≠ 0we also suppose that a / b is written in the simplest form

Now √7 = a / b

⇒ 7 = a²/b² ⇒ 7b²= a²

∴ 7b²is divisible by 7

⇒ a²is divisible by 7

⇒ a is divisible by 7

∴ let a = 7c

a² = 49c²

⇒ 7b²= 49c²

⇒b²= 7c²

∴ 7c² is divisible by 7

∴ b² is divisible by 7

∴ b is divisible by 7

∴a are b are divisible by 7this contradicts our supposition that a/b is written in the simplest formHence our supposition is wrong

∴ √7 is irrational number.