Question

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

Answer 1

Answer:

A) 12

Step-by-step 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.

$\dfrac{x+2}{y}=\dfrac{3x-8}{2y}$

Multiply both sides by 2y:

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

Hope this helps!