Answer:
[tex]w = \frac{5}{8}, v = \frac{21}{2}[/tex]
Step-by-step explanation:
With given information, we have [tex]\frac{TR}{TQ} = \frac{TS}{TP}[/tex], so [tex]\frac{5}{13} = \frac{3w}{3w+3}[/tex], which gives us [tex]w=\frac{5}{8}[/tex]. Meanwhile, we have [tex]\frac{TR}{TQ}=\frac{RS}{QP}[/tex], so [tex]\frac{5}{13}=\frac{10}{2v+5}[/tex], which gives us [tex]v = \frac{21}{2}[/tex].
