3 years ago

In UVW, UV IXY. Given that WU= 35, WX= 15, and WY= 18, find WV.

Mathematics

1 answer:

olchik [2.2K]3 years ago

3 0

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

$\frac{WV}{WY}$ = $\frac{WU}{WX}$ ( substitute values )

$\frac{WV}{18}$ = $\frac{35}{15}$ ( cross- multiply )

15 WV = 630 ( divide both sides by 15 )

WV = 42

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