Respuesta :

We can model the situation as:

Since Q is the midpoint of PR, QR and PQ have the same length, so PQ is also equal to 43.

Now, we can formulate the following equation:

PR = PQ + QR

So, replacing PR by 9x-31, PQ by 43 and QR by 43, we get:

9x - 31 = 43 + 43

9x - 31 = 86

Solving for x:

9x - 31 + 31 = 86 + 31

9x = 117

9x/9 = 117/9

x = 13

Answer: x = 13

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