Step 1
Draw the diagram.
Triangle RPX is Similar to RXQ
Therefore,
[tex]\begin{gathered} \frac{RP}{XP}\text{ = }\frac{RQ}{XQ} \\ \frac{10}{6}\text{ = }\frac{RQ}{15} \\ \text{Cross multiply.} \\ 6RQ\text{ = 15 X 10} \\ 6RQ\text{ = 150} \\ RQ\text{ = }\frac{150}{6} \\ \text{RQ = }25 \end{gathered}[/tex][tex]\begin{gathered} \text{.} \\ \\ \\ \\ \\ \\ \\ \text{ } \end{gathered}[/tex]
