Respuesta :

mhanifa

Answer:

  • See below

Step-by-step explanation:

We have similar triangles:

  • ΔXYZ ~ ΔRST

The reason is:

  • The long sides lie on the same line
  • Other sides are vertical and horizontal, so the corresponding sides are parallel to each other
  • These give us the AA similarity

The slope is:

  • m = rise / run

According to the ΔRST the slope is:

  • m = 2/4 = 1/2

Find the length of XY, using the ratio of corresponding sides:

  • XY / RS = YZ / ST
  • XY = RS * YZ / ST = 4*3/2 = 6 units