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Oduvanchick [21]
3 years ago
14

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

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

PQ = 42

Step-by-step explanation:

Given

PT = 3x + 3

TQ = 5x - 9

Midpoint, T

Required

Determine PT

First, the value of x has to be calculated;

Since T is the midpoint, then:

PT = TQ

This implies

3x + 3 = 5x - 9

Solve for x

3x - 5x = -3 - 9

-2x = -12

x = -12/-2

x = 6

Length PQ can then be calculated using:

PQ = PT + TQ

PQ = 3x +3 + 5x -9

Collect Like Terms

PQ = 3x+ 5x +3  -9

PQ = 8x -6

Substitute 6 for x

PQ = 8 * 6 - 6

PQ = 48 - 6

PQ = 42

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