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Solve for x to the nearest tenth.

Solve for x to the nearest tenth.-example-1

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Answer: x = 5.9

Explanation:

Solve for the larger triangle first by using the Pythagorean theorem:

7^2 + b^2 = 10^2

b^2 = 100 - 49

b^2 = 51

b = sqrt(51) = 7.14

Next, we can use this new-found side to solve for x by, again, using the Pythagorean theorem:

4^2 + x^2 = 51 (51 refers to b = 7.14 which is squared)

x^2 = 51 - 16

x^2 = 35

x = sqrt(35) = 5.9 when rounded to the nearest tenth.

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