Question

The two triangles are similar.
What is the value of x?

Answer 1

x=10

Explanation:

First, solve for the ratio of the two triangles:

`\\ (3x)/(20) =(4x+2)/(20+8) \\ \\ (20+8)(3x)/(20) =4x+2\\ 28(3x)=20(4x+2)\\ 84x=80x+40\\ 84x-80x=40\\ 4x=40\\ x=10`

Answer 2

X= 10
(WORK SHOWN BELOW)