A is the midpoint of line segment PT if PA is 5/3x-2 and TA is 4x-37. What is PT

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bellacarrillo2006 bellacarrillo2006

11-10-2021
Mathematics

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A is the midpoint of line segment PT if PA is 5/3x-2 and TA is 4x-37. What is PT

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8555cashio 8555cashio · Answer 1 · 2021-10-11T06:36:55+02:00

8555cashio 8555cashio

11-10-2021

The answer is 46
Since A is the midpoint of PA and TA you set both equations to equal each other to find x .
5/3x-2=4x-37
x=15
Then plug in 15 for x
4(15)-37=23
Since PT in both segment added together
23+23 =46

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