What is the value of x to the nearest tenth?
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Answer:
37.0
Step-by-step explanation:
Half of x is the longer leg of the right triangle shown. That leg length can be found using the Pythagorean theorem:
x/2 = √(24.6² -16.2²) = √(605.16 -262.44) = √342.72
x ≈ 2×18.513 ≈ 37.025 . . . . . . rounding to 3 decimal places
x ≈ 37.0