Question

This figure is a regular polygon. Find the length of each side. Given the expressions for the length of each side as 2x + 15 and 5x - 9:

A. x = 6, sides = 27.
B. x = 3, sides = 18.
C. x = 9, sides = 33.
D. x = 12, sides = 39.

Answer 1

To find the length of each side of a regular polygon, equate the given expressions and solve for x. Substitute the value of x back into either expression to find the length of each side.

Step-by-step explanation:

In a regular polygon, all sides are equal in length. In this case, we are given two expressions for the length of each side: 2x + 15 and 5x - 9.

To find the length of each side, we need to equate both expressions and solve for x. So, 2x + 15 = 5x - 9.

Simplifying this equation, we get 24 = 3x, which means x = 8. Substituting this value back into either expression gives us the length of each side: 2(8) + 15 = 31.