Question

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

Answer 1

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

$x=20$