Answer: C) 4
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Work Shown:
Applying the tangent-secant theorem will allow us to solve for x
x*(x+5) = (x+2)^2
x^2+5x = (x+2)*(x+2)
x^2+5x = x^2+4x+4
5x = 4x + 4 ..... subtracting x^2 from both sides; terms cancel
5x-4x = 4
x = 4
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Check:
Plug in x = 4
x*(x+5) = (x+2)^2
4*(4+5) = (4+2)^2
4*(9) = (6)^2
36 = 36
The answer is confirmed.
