Aregular polygon inscribed in a circle can be used to derive the formula for the area of a circle. the polygon area can be expressed in terms of the area of a triangle.let s be the side length of the polygon,let r be the hypotenuse of the right triangle,let h be the height of the triangle, and let n be the number of sides of the regular polygon.polygon area = n(12sh) which statement is true? as r increases, the area of the regular polygon approaches the area of the circle.as n increases, the area of the regular polygon approaches the area of the circle.as s increases, the area of the regular polygon approaches the area of the circle.as h increases, the area of the regular polygon approaches the area of the circle.

As n increases, the area of the regular polygon approaches the area of the circle.

Step-by-step explanation:

A regular polygon inscribed in a circle can be used to derive the formula for the area of a circle.

The polygon area can be expressed in terms of the area of a triangle.

Let s denote the side length of triangle.

r hypotenuse of right triangle.

h height of the triangle.

let n be the number of sides of the regular polygon.

The area of polygon is given by:

polygon area = n(12sh)

The correct statement is:

As n increases, the area of the regular polygon approaches the area of the circle.

" Since, as the number of sides of the polygon increases the polygon start approaching to the circumference of circle and as n tends to infinity the polygon will tend to take the shape of the circle "

Step-by-step explanation:

Simplifying

7x = -3x + -60

Reorder the terms:

7x = -60 + -3x

Solving

7x = -60 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

7x + 3x = -60 + -3x + 3x

Combine like terms: 7x + 3x = 10x

10x = -60 + -3x + 3x

Combine like terms: -3x + 3x = 0

10x = -60 + 0

10x = -60

Divide each side by '10'.

x = -6

Simplifying

x = -6