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AfilCa [17]
3 years ago
5

Find the value of x.

Mathematics
1 answer:
koban [17]3 years ago
8 0

We have the similar triangles. Therefore the lengths of the sides are in proportion:

\dfrac{x}{22}=\dfrac{42}{11+22}\\\\\dfrac{x}{22}=\dfrac{42}{33}\qquad\text{cross multiply}\\\\33x=(22)(42)\qquad\text{divide both sides by 33}\\\\x=\dfrac{(22\!\!\!\!\!\diagup^2)(42)}{33\!\!\!\!\!\diagup_3}\\\\x=\dfrac{(2)(42\!\!\!\!\!\diagup^{14})}{\not3_1}\\\\x=(2)(14)\\\\\boxed{x=28}

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