Question

Solve for x. ANSWERS: A) 12 B) 13 C) 11 D) 10

Answer 1

A) 12

Explanation:

Since triangles YRZ and QRS are similar by AA, the ratio of their sides should be constant. Since RY=QY, let's call that side length y.

`(x+2)/(y)=(3x-8)/(2y)`

Multiply both sides by 2y:

`2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12`

Hope this helps!