Question

I just wanted to double check my answer to make sure that I did it correctly.

Answer 1

Step 1

Draw the diagram.

Triangle RPX is Similar to RXQ

Therefore,

`\begin{gathered} (RP)/(XP)\text{ = }(RQ)/(XQ) \\ (10)/(6)\text{ = }(RQ)/(15) \\ \text{Cross multiply.} \\ 6RQ\text{ = 15 X 10} \\ 6RQ\text{ = 150} \\ RQ\text{ = }(150)/(6) \\ \text{RQ = }25 \end{gathered}`
`\begin{gathered} \text{.} \\ \\ \\ \\ \\ \\ \\ \text{ } \end{gathered}`