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In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpointof UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?

 

 Feb 15, 2021
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We know that the ratio of midsegment WX to side TV is 1 : 2

 

So, we have     2 * WX = TV

 

                         2(23 - 2x) = 64 - 10x

 

                         x = 9/4

 

                        TV = 64 - 10(9/4) = 83/2

 Feb 17, 2021

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