Respuesta :

mhanifa

Answer:

  • XA = 10 units

Step-by-step explanation:

Given parallelogram XYZW with:

  • XZ and YW intersect at point A.
  • YA = 2t
  • WA = 3t - 4
  • XZ = 5t
  • XA = ?

First, the diagonals bisect each- other:

  • YA = WA

Substitute values and solve for t:

  • 2t = 3t - 4
  • 3t - 2t = 4
  • t = 4

Find the diagonal XZ:

  • XZ = 5t = 5*4 = 20

Find the length of XA:

  • XA = XZ / 2 = 20 / 2 = 10

As Diagonals bisect each other in parallelogram

  • YA=WA
  • 2t=3t-4
  • 3t-2t=4
  • t=4

Diagonal XZ

  • 5t
  • 5(4)
  • 20