breannao
breannao breannao
  • 16-01-2020
  • Mathematics
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Triangles and Parallel Lines‼️ Find UV? WU=18, WX=8, XY=20.

Triangles and Parallel Lines Find UV WU18 WX8 XY20 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 16-01-2020

Answer:

UV = 45

Step-by-step explanation:

From the diagram, Δ WXY and Δ WUV are similar.

Thus the ratios of corresponding sides are equal, that is

[tex]\frac{XY}{UV}[/tex] = [tex]\frac{WX}{WU}[/tex], substitute values

[tex]\frac{20}{UV}[/tex] = [tex]\frac{8}{18}[/tex] ( cross- multiply )

8UV = 360 ( divide both sides by 8 )

UV = 45

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