What is the value of x? Enter your answer in the box. x= __

Mathematics

1 answer:

RoseWind [281]3 years ago

8 0

Answer:

x =20

Step-by-step explanation:

We can use similar triangles and proportions to solve. Take the smaller triangle side on top and the larger triangle side on the bottom.

11 10

---------- = --------------

11+121 10 +5x+10

Combine like terms

11 10

---------- = --------------

132 5x+20

Using cross products

11*(5x+20) = 10*132

55x+220 = 1320

Subtract 220 from each side

55x+220-220 = 1320-220

55x = 1100

Divide by 55

55x/55= 1100/55

x =20

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