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

Question

asked Feb 7, 2023 163k views

1 Answer

Stephan Luis · Answer 1 · 2023-02-11T18:28:33+0000

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).