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

Solve for x.Question options:A) 11 B) 13 C) 12 D) 10-example-1
User CodinCat
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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).

User Stephan Luis
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