Question

Solve for x. The polygons in each pair are similar.

Answer 1

x = 9

Explanation:

We need to find the value of x if the polygons in each pair are similar.

As they are similar, the ratio of their sides are equal.

The sides of first polygon are 6,12 and 4.8. On the other hand, the sides of second polygon are (2x-9) and 18.

So,

`(6)/(2x-9)=(12)/(18)\\\\(6)/(2x-9)=(2)/(3)\\\\(3)/(2x-9)=(1)/(3)\\\\x=9`

So, the value of x is equal to 9.