Point Q is on line segment \overline{PR}
PR
. Given QR=2x+4,QR=2x+4, PQ=x,PQ=x, and PR=4x-10,PR=4x−10, determine the numerical length of \overline{PR}.
PR
.

Respuesta :

The numerical length of PR is 46

Line segment

Given the following segments

QR=2x+4

PQ = x

PR =4x -10

If Q is on line segment PR, then;

PQ + QR = PR

Substitute;

x+2x+4 = 4x - 10

3x - 4x = -10 - 4

-x = -14

x =14

PR =4x - 10

PR = 56 -10

PR =46

Hence the numerical length of PR is 46

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