Question

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

Answer 1

Answer:

x=20

Step-by-step explanation:

We can use similar triangle to find x.  Put the smaller triangle over the larger triangle.

11             10

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

121+11       10 +5x+10

Combine like terms

11             10

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

132       20+5x

Using cross products

11 (20+5x) = 132*10

Distribute

220 +55x = 1320

Subtract 220 from each side

220-220 +55x = 1320-220

55x = 1100

Divide by 55

55x/55= 1100/55

x =20