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What does x equal? no step by step needed.

What does x equal? no step by step needed.-example-1
User Ztan
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Answer:

x = 13

Explanation:

BD is the hypotenuse of the smaller triangle and corresponds to 2x - 7. 51 is the longer leg of triangle EFG

The ratio of the two hypotenuses is (2x - 7)/57, and the ratio of the two longer legs is (x + 4)/51. These ratios are equal to one another. Thus:

2x - 7 x + 4

--------- = ---------

57 51

Cross multiplication results in 51(2x - 7) = 57x + 228, or

102x - 357 = 57x + 228

Combining like terms, we get:

45x = 585, and so x = 13.

User Limp
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