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Ksivusya [100]
3 years ago
8

What is the value of x? Enter your answer in the box (Please hurry)

Mathematics
1 answer:
GaryK [48]3 years ago
7 0

Answer:

\large\boxed{x=20}

Step-by-step explanation:

The whole triangle and small triangle are similar (AA). Therefore the sides are in proportion:

\dfrac{5x+10+10}{10}=\dfrac{121+11}{11}

\drac{5x+20}{10}=\dfrac{132}{11}          <em>cross multiply</em>

11(5x+20)=(10)(132)       <em>use distributive property</em>

(11)(5x)+(11)(20)=1320

55x+220=1320            <em>subtract 220 from both sides</em>

55x=1100          <em>divide both sides by 55</em>

x=20

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