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The triangles are similar. Solve for the missing segment.

The triangles are similar. Solve for the missing segment.-example-1

2 Answers

7 votes

Answer:


\boxed{56}

Explanation:

We can use ratios to solve since the triangles are similar.


(20)/(32) =(35)/(x)

Cross multiplication.


20x=35 * 32

Divide both sides by 20.


(20x)/(20) = (35 * 32)/(20)


x=56

User Natxo
by
8.7k points
5 votes

Answer:

56

Explanation:

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


(35+20)/(20) =
(32+?)/(32) ( cross- multiply )

20(32 + ?) = 1760 ( divide both sides by 20 )

32 + ? = 88 ( subtract 32 from both sides )

? = 56

User Zig
by
8.4k points

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