4 years ago

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

Mathematics

1 answer:

GaryK [48]4 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:

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

$\drac{5x+20}{10}=\dfrac{132}{11}$ cross multiply

$11(5x+20)=(10)(132)$ use distributive property

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

$55x+220=1320$ subtract 220 from both sides

$55x=1100$ divide both sides by 55

$x=20$

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