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Nata [24]
4 years ago
11

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

Mathematics
1 answer:
FinnZ [79.3K]4 years ago
3 0

Answer:

22

Step-by-step explanation:

Given that T is the midpoint of line PQ, PT and TQ are both equal segments of line PQ.

PT is given as 5x + 2,

TQ = 7x - 6

Therefore:

5x + 2 = 7x - 6

Solve for x

5x + 2 - 7x = 7x - 6 - 7x

-2x + 2 = -6

-2x + 2 - 2 = -6 - 2

-2x = -8

\frac{-2x}{-2} = \frac{-8}{-2}

x = 4

PT = 5x + 2

Input the value of x

PT = 5(4) + 2 = 20 + 2 = 22

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