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Answers
(7) We know that Corresponding angles are equal. So, 45 = < C . Then,
<C = 45
Now, <C = <E by alternate interior angles
< E = 45
And, we know that Consecutive angles are equal. So, ( 5x + 35 ) = 45
= 5x + 35 = 45
= 5x = 45 - 35
= x = 10 ÷ 5
= x = 2
So, Option (i) is correct
(6) We know that, a bionomial is a variable expression with two terms.
Ex (x - 1), (2x - 5)
So, I think option (ii) is correct
If we need to prove then,
= (x + 1) (x - 1)
= x^2 - x + x - 1
= x^2 - 1 (^ means square)
So, your option (ii) is correct
(8) The point lie on x axis is (3 , 0)
So, I think option (ii) is correct
(9) Height of Cylinder = 3 cm
Base area = 8 sq . cm
As we know, the base area of Cylinder is always in a form of circle. So,
Area of circle = 22 / 7 r^2
= 22 / 7 r^2 = 8
We also know that volume of Cylinder
= 22 / 7 × r^2 × h
So, 22 / 7 r ^ 2 = 8 and h = 3
= ( 8 × 3) cu. cm
= 24 cu. cm
Hence the volume of Cylinder = 24 cu. cm
(10) The measure of each exterior angle of a regular hexagon is 60
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