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faust18 [17]
3 years ago
9

Find the value of x.

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

Answer:

  x = 16 2/3

Step-by-step explanation:

The altitude divides the triangle into similar triangles. We can form the ratio between the hypotenuse and the short leg for two of the triangles. Those ratios will be a proportion:

  10/6 = ((x-6) +6)/10

  100/6 = x . . . . . multiply by 10 and simplify

  x = 16 2/3

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