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Pavlova-9 [17]
3 years ago
10

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

Mathematics
1 answer:
givi [52]3 years ago
4 0

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

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