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  • 23-04-2019
  • Mathematics
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pentagon uvwxy is similar to pentagon jklmn. what is the length of xy?


pentagon uvwxy is similar to pentagon jklmn what is the length of xy class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-05-2019

ANSWER

C. 24

EXPLANATION

From polygon JKLMN,

JK=MN=32

Since the two polygons are similar, their corresponding sides are in the same proportion.

This implies that;

[tex] \frac{XY}{MN} = \frac{WX}{LM} [/tex]

We substitute the values to obtain,

[tex]\frac{XY}{32} = \frac{30}{40} [/tex]

Multiply both sides by 32.

[tex]XY = \frac{30}{40} \times 32[/tex]

[tex]XY = \frac{3}{4} \times 32 = 24[/tex]

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