Question

What is the value of x?

x = ___

Answer 1

x = 9

Explanation:

The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion.

`(9)/(81)=(3x-20)/(3x+36)`

Cross multiply to solve for x.

9(3x+36) = 81(3x-20)

27x + 324 = 243x -1,620

1,944 = 216x

9 = x