Answer:
7) PQ = 46
8) QR = 46
9) PR = 92
Explanation:
You are right on the first one (#5). Just make sure that the PQ and QR as drawn as equal. You can also represent this by drawing two short lines cutting PQ and QR which is the notation for equality of line segments.
You are right on #6. x is indeed 9
For #7, simply plug in the value of x in the equation 6x-8 which gives you
6 x 9 - 8 ==> 54 - 8 = 46
For #8 given that PQ = QR, QR must also be 46
If you wish you can verify by plugging in for x in 10x - 44 which evaluates to
10(9) - 44 = 90 -44 = 46
For #9 since PR = PQ + QR, just add the two values for PQ and QR giving 46 + 46 = 92
or, you could simply multiply any of the values by 2 giving 2 x 46 = 92
or,
you can add the two relations together and evaluate the result and plug in the value of x=9
(6x - 8) + (10x - 44) = 16x - 52 = 16(9) - 52 = 144 - 52 = 92