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Y_Kistochka [10]
2 years ago
12

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

Mathematics
1 answer:
vichka [17]2 years ago
8 0

Answer:

22

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

5x + 2 = 7x - 6

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

5x - 7x = - 2 - 6

-2x = -8

Divide both sides by -2

x = 4

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

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