Answer
B
Work Step by Step
Applying the Pythagorean theorem, we find:
$$ x^2+100=\left(x+6\right)^2 \\ x^2-\left(x^2+12x\right)=x^2+12x-64-\left(x^2+12x\right) \\ -12x=-64 \\ x=\frac{16}{3}$$
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