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Answer:

x = 38

Step-by-step explanation:

The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{10(x+2)}[/tex] = 20 ( square both sides )

10(x + 2) = 400 ( divide both sides by 10 )

x + 2 = 40 ( subtract 2 from both sides )

x = 38

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