Question

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

Answer 1

Notice that triangles QRS and YRZ are similar, therefore:

`(YZ)/(QS)=(YR)/(QR)=(1)/(2)\text{.}`

Substituting YZ=x+2, QS=3x-8, and solving for x we get:

`\begin{gathered} (x+2)/(3x-8)=(1)/(2), \\ 2(x+2)=3x-8, \\ 2x+4=3x-8, \\ x=12. \end{gathered}`

Answer: Option C).