Mathematics: Qis the midpoint of line segment pr. pq=6x+25 and qr=16-3x; find pr

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Qis the midpoint of line segment pr. pq=6x+25 and - id6253133457, hello137348474747

dayanara72

06.01.2022

we know that

If Q is the midpoint of the line segment PR

then

PQ=QR

PR=PQ+QR

Step

Find the value of x

in this problem we have

$PQ=6x+25\\ QR=16-3x$

substitute in the formula above

6x+25=16-3x

$6x+25=16-3x\\ 6x+3x=16-25\\9x=-9\\x=-1$

$PQ=6x+25=6*(-1)+25=19\ units$

$QR=16-3*(-1)=19\ units$

Step

Find the value of PR

PR=PQ+QR

$PR=19+19=38\ units$

therefore

the answer is

the value of PR is $38\ units$

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