Final answer:
The distance between X and RT can be found by adding the distances RX and XT. At x = 72, the distance is 938 units.
Step-by-step explanation:
The distance between X and RT can be found by adding the distances RX and XT. Given that RX = 10x - 6 and XT = 3x + 8, we can substitute these values into the equation:
Distance between X and RT = RX + XT = (10x - 6) + (3x + 8) = 13x + 2.
To find the distance at x = 72, substitute x = 72 into the equation:
Distance between X and RT at x = 72 = 13(72) + 2 = 936 + 2 = 938 units.