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
[tex]15x-2=5x+3\\15x-5x=3+2\\10x=5\\x=0.5[/tex]
Remember that
[tex]PR=5\ ft[/tex] ----> given problem
[tex]PR=PQ+QR\\PR=(15x-2)+(5x+3)[/tex]
substitute the value of x
[tex]PR=(15(0.5)-2)+(5(0.5)+3)[/tex]
[tex]PR=(5.5)+(5.5)[/tex]
[tex]PR=11\ ft[/tex]
Compare with the given value of PR
[tex]5\ ft\neq 11\ ft[/tex]
therefore
Q is not the midpoint of PR
