Question

How do i solve this?

Answer 1

Answer:

  x = 5

Step-by-step explanation:

The corresponding segments are proportional, so you can write any of several equations relating the different segment lengths. Here's one way:

  top segment/bottom segment = x/(x+5) = (x-2)/(x+1)

Multiply by the product of denominators:

  (x +1)x = (x +5)(x -2)

  x² +x = x² +3x -10 . . . . . eliminate parentheses

  10 = 2x . . . . . . . . . . . . . . add 10 -x -x² to both sides of the equation

  5 = x . . . . . divide by 2