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△YPM∼△WBE What is BE ? Enter your answer, as a decimal, in the box. in. Triangle Y P M and triangle W B E. Y P is 15 inches, P M is 32 inches, Y M is 30 inches, and W B is 21 inches.

Respuesta :

Answer:

accidentally answered, srry

Step-by-step explanation:

Answer:

BE is 44.8 inches long.

Step-by-step explanation:

If [tex]\triangle YPM \sim \triangle WBE[/tex], then we have the following proportion between corresponding sides

[tex]\frac{YP}{WB}=\frac{PM}{BE}=\frac{YM}{WE}[/tex]

We know that [tex]YP=15; PM=32; YM=30;WB=21[/tex]

Replacing this values and solving for [tex]BE[/tex] we have

[tex]\frac{YP}{WB}=\frac{PM}{BE}[/tex]

[tex]\frac{15}{21}=\frac{32}{BE}\\ \\BE=\frac{32(21)}{15}=44.8[/tex]

Therefore, BE is 44.8 inches long.

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