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.
[tex]\dfrac{x+2}{y}=\dfrac{3x-8}{2y}[/tex]
Multiply both sides by 2y:
[tex]2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12[/tex]
Hope this helps!
