Respuesta :

Answer:

  • x = -7

Step-by-step explanation:

XY is the midsegment of the given triangle.

XY = 1/2GE, as per definition of midsegment

Substitute and solve for x:

  • x + 12 = 1/2(17 + x)
  • 2x + 24 = x + 17
  • 2x - x = 17 - 24
  • x = - 7

X and Y are midpoints

  • 2XY=GE
  • 2(x+12)=x+17
  • 2x+24=x+17
  • x=17-24
  • x=-7