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Vinil7 [7]
3 years ago
5

In the diagram below, triangle abc ~ triangle dec . What is the value of x? A. 28 b. 24 c. 22 d. 26

Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

Answer:

Option A.

Step-by-step explanation:

From the figure attached,

Given : ΔABC ~ ΔDEC

By the property of similarity,

"Corresponding sides of the similar triangles are proportional"

\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}

Since, \frac{\text{AB}}{ED}=\frac{AC}{DC}

\frac{42}{6}=\frac{x}{(32-x)}

6x = 42(32 - x)

6x = 1344 - 42x

6x + 42x = 1344

48x = 1344

x = \frac{1344}{48}

x = 28 units

Therefore, Option (A). x = 28 units will be the answer.

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