Question

Thank you for the help <3

Answer 1

21.6

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