ellakalbach ellakalbach

24-08-2021
Mathematics

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Given M is the midpoint of segment TV. TM = 7x -2 and MV = 4x + 13, find TV.

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cwayneu cwayneu

24-08-2021

Answer:

TV = 66

Step-by-step explanation:

Since M is the midpoint, that means the two subsegments are equal so

7x - 2 = 4x + 13

7x - 4x - 2 = 13

7x - 4x = 13 + 2

3x = 15

x = 5

then

TM = 7x - 2 = 7*5 -2 = 35 - 2 = 33

TV = 2 * TM = 2 * 33 = 66

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