Question

Consider the line segment below that is five feet long. Is Q the midpoint of PR? Justify your answer.

Answer 1

Answer:

Q is not the midpoint of PR

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Q is the midpoint of PR

then

PQ=QR

substitute the given values and solve for x

$15x-2=5x+3\\15x-5x=3+2\\10x=5\\x=0.5$

Remember that

$PR=5\ ft$ ----> given problem

$PR=PQ+QR\\PR=(15x-2)+(5x+3)$

substitute the value of x

$PR=(15(0.5)-2)+(5(0.5)+3)$

$PR=(5.5)+(5.5)$

$PR=11\ ft$

Compare with the given value of PR

$5\ ft\neq 11\ ft$

therefore

Q is not the midpoint of PR