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Polygons PQRST and VWXYZ are similar if PQ = 4 feet, QR = 12 feet, RS = 2 feet, ST = 8 feet, TP = 4 feet, and YZ = 16 feet, then what
is the length of XY?

A.16 feet
B.24 feet
C.14 feet
D.4 feet

Respuesta :

I would say c 14 ft

Answer:

D

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{ST}{YZ}[/tex] = [tex]\frac{RS}{XY}[/tex] , substitute values

[tex]\frac{8}{16}[/tex] = [tex]\frac{2}{XY}[/tex] ( cross-  multiply )

8XY = 32 ( divide both sides by 8 )

XY = 4 feet → D

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