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laiz [17]
3 years ago
10

If ΔFGH ~ ΔKJH, find x.

Geography
1 answer:
True [87]3 years ago
6 0

Answer:

x = 16

Explanation:

Since ΔFGH and ΔKJH are similar, let's compare their sides.

So that;

\frac{GH}{HJ} = \frac{FH}{HK}

\frac{x +8}{32} = \frac{4x-25}{52}

cross multiply to have;

32(4x - 25) = 52(x + 8)

128x - 800 = 52x + 416

128x - 52x = 416 + 800

76x = 1216

x = \frac{1216}{76}

  = 16

x = 16

Therefore, x = 16.

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