Respuesta :

Answer:

  • x = 2

Step-by-step explanation:

We know that

  • The diagonals of a rectangle are of equal length
  • The diagonals bisect each other

Considering the above we have:

  • EG = HF = 2JF = 2JH

Substitute the given values and solve for x:

  • 24x - 8 = 2*(8x + 4)
  • 24x - 8 = 16x + 8
  • 24x - 16x = 8 + 8
  • 8x = 16
  • x = 16/2
  • x = 2