Answer:
WV = 42
Step-by-step explanation:
Δ UVW and Δ XYW are similar ( by the AA postulate ) , then the ratios of corresponding sides are in proportion, that is
[tex]\frac{WV}{WY}[/tex] = [tex]\frac{WU}{WX}[/tex] ( substitute values )
[tex]\frac{WV}{18}[/tex] = [tex]\frac{35}{15}[/tex] ( cross- multiply )
15 WV = 630 ( divide both sides by 15 )
WV = 42
