Question

Geometry What is the value of X?

Answer 1

Answer:

  x = 5

Step-by-step explanation:

Corresponding sides are proportional, so we can write the proportion ...

  (x -2)/x = (x +1)/(x +5)

  (x -2)(x +5) = x(x +1) . . . . . . . multiply by x(x+5)

  x^2+3x -10 = x^2 +x . . . . . eliminate parentheses

  2x = 10 . . . . . . . . . . . . . . subtract x^2+x-10

  x = 5 . . . . . . . . . . . . . . divide by 2