Question

Please answer within 15 min Show work

Answer 1

Answer:

24 because of YW and ZV are Parallel.

Answer 2

Given : A triangle XZV and line YW || ZV , XY = 30 , XZ = 45 , WV = 12

To find : Length of XW

Solution:

YW ║ ZV

=> ∠XYW =- ∠XZV

& ∠XWV = ∠XVZ

ΔXYW  & ΔXZV

∠X = ∠X   ( common)

∠XYW =- ∠XZV

∠XWV = ∠XVZ

using AAA

ΔXYW  ≈ ΔXZV  ( triangle are similar _

=> XY/XZ =  XW/XV

=> 30/45 = XW/(XW  + 12)

=> 2/3 = XW/(XW  + 12)

=> 2XW + 24 = 3XW

=> XW = 24

Length of XW = 24

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