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03-11-2022
Mathematics

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3. In the figure below, XU is the midsegment of TVW and is parallel to VW, determine the length of XU. (3 points) 11x + 2 U 10x + 16

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FelicianaG548709 FelicianaG548709

03-11-2022

If XU is the midsegment of TVW, then, it is necessary that:

(11x + 2)/(10x + 16) = 1/2

multiply the previous equation by 10x + 16:

11x + 2 = 1/2(10x + 16)

11x + 2 = 5x + 8 subtract 5x and 2 both sides

11x - 5x = 8 - 2

6x = 6

x = 6/6

x = 1

THe length of XU is:

XU = 11x + 2 = 11(1) + 2

XU = 13

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