Final answer:
By using the property that diagonals of a parallelogram bisect each other, the equation 2x - 10 for diagonal PR can be solved given PT is 24 by setting PT equal to TR and solving for x, which is found to be 29.
Step-by-step explanation:
In the context of a parallelogram PQRS with diagonals PR and QS intersecting at T, the property states that diagonals of a parallelogram bisect each other. Thus, PT equals TR. Given that PT is 24 units and the entire diagonal PR is represented by the equation 2x-10, we can set up the equation:
PT + TR = PR
24 + 24 = 2x - 10
48 = 2x - 10
Now we can add 10 to both sides to isolate the term with x on one side of the equation, and then divide by 2 to solve for x:
58 = 2x
x = 29