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The tangent to the circumcircle of triangle WXY at X is drawn, and the line through W that is parallel to this tangent intersects $\overline{XY}$ at Z.  If XY = 14 and $WX = 7,$ find YZ.

 

 Oct 4, 2021
 #1
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YZ = 20/3.

 Oct 4, 2021
 #2
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YZ = 10.5

Guest Oct 5, 2021
 #3
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Let's see who's right: guest 1, or guest 2

 

7/14 = (14 - YZ) / 7

49 = 196 - 14(YZ)

14(YZ) = 147

YZ = 10.5 smiley 

 Oct 5, 2021

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