M is the midpoint of PQ. MQ=5x+8 and PQ = 6x+56, find PM

Mathematics

1 answer:

n200080 [17]3 years ago

3 0

Answer:

PM = 58

Step-by-step explanation:

The question tells us that the full line has a value of 6x+56. The midpoint divides this line into equal pieces. We are also given the value of half (MQ) of the line (5x+8). By subtracting 5x+8 from 6x+56, we can figure out the value of the other half of the line (PM).

This gives us the expression for PM: x+48

Now, since these are both the two parts of the midpoint, by definition, we know they're equal.

You equal both equations and get x=10

You plug in 10 as x in the expression we got for PM (10+48), which gives us the value 58.

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