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Tems11 [23]
2 years ago
13

Thank you for the help <3

Mathematics
1 answer:
ryzh [129]2 years ago
3 0

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

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