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lana [24]
3 years ago
8

Find the value of x.

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer:

  x = 100

Step-by-step explanation:

The ratios of long side to hypotenuse are the same for all these triangles.

  x/(x+10) = (x+10)/(x+21)

  x^2 +21x = x^2 +20x +100 . . . . . multiply by (x+10)(x+21), expand

  x = 100 . . . . . . . . . . . . . . . . subtract x^2 +20x

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