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Answer:

x =4.58

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 10 ^2 = 11^2

x^2 +100 =121

x^2 = 121-100

x^2 =21

take the square root of each side

sqrt(x^2) = sqrt(21)

x =4.582575695

To the nearest hundredth

x =4.58

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