Answer:
21.6
Step-by-step explanation:
Connect U and X, V and Y
Note ∠XUW = ∠VYW (facing same arc VX) and ∠W = ∠W
so ΔUXW ~ ΔVYW
then VW : YW = XW : UW
VW : YW = (YW - YX) : (UV + VW)
22 : 40 = (40 - 16) : (UV + 22)
11: 20 = 24 : (UV + 22)
11 * ( UV + 22) = 20 * 24
11* UV + 242 = 480
11 * UV = 480 - 242 = 238
so UV = 238/11 = 21.6
