Answer:
TQ = 24
Step-by-step explanation:
Δ RST and Δ RPQ are similar, thus ratios of corresponding sides are equal, that is
[tex]\frac{RS}{RP}[/tex] = [tex]\frac{RT}{RQ}[/tex] , substitute values
[tex]\frac{15}{35}[/tex] = [tex]\frac{18}{RQ}[/tex] ( cross- multiply )
15 RQ = 630 ( divide both sides by 15 )
RQ = 42
Then
TQ = RQ - RT = 42 - 18 = 24
