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Law Incorporation [45]
3 years ago
12

Point G is the midpoint of PQ. PG equals 2X plus 3 and GQ equals 5X -5. what is X?

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

Answer:

x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}

Step-by-step explanation:

\overline{PG}=2x+3\\\overline{GQ}=5x-5

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

2x+3=5x-5

Adding 5 to both sides:

2x+8=5x

Subtracting 2x from both sides:

8=3x

Dividing both sides by 3:

\frac{8}{3}=x

Therefore:

x=\frac{8}{3}=2\frac{2}{3}\approx{2.667}

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