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Answer:

D) 12

Step-by-step explanation:

Since PR is a midsegment of ABC, you need 2 of them.

(x + 3)2 = x + 9                   Distribute 2 to (x + 3)

2x + 6 = x + 9

- x          - x                         Subtract x from both sides

x + 6 = 9

  - 6   - 6                            Subtract 6 from both sides

x = 3

Plug this into the equation of segment AC

3 + 9

12 is the length of segment AC

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Answer:

D) 12

Step-by-step explanation:

Given: Segment PR is a midsegment of triangle ABC.

So if PR is a midsegment the triangle, then we expect the base segment, AC, to be double the length of segment PR;

I.e 2(x + 3) = x + 9

2x + 6 = x + 9

2x - x = 9 - 6

x = 3

So the length of segment AC is 3 + 9 = 12

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