Question

Please l need this for my homework help

Answer 1

XY = 68

Explanation:

U is the mid point of line VY.

So, VU = UY

VU + UY = VY

VY = 2 VU

W is the mid point of line VX

So, VW = WX

VW + WX = VX

VX = 2 VW

UW // XY

So, ∆ VUW ~ ∆ VYX

UW/ XY = VU/VY= VW/ VX

UW/ XY = VU /VY

UW/XY = VU/ 2VU

UW/XY = ½

z-57/z -23=½

2( z - 57)= z-23

2z-114 = z - 23

2z -z = 114 - 23

z = 91

XY = z - 23

Substitute z = 91

XY = 91 - 23

XY = 68

.: Ans , XY = 68