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what does x equal? no step by step needed.

What Does X Equal No Step By Step Needed class=

Sagot :

Altavistardidn

Answer:

x = 13

Step-by-step 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.

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