Based on the given information on the parallelogram, x is equal to 6.
How to find the value of x
In a parallelogram, the diagonals bisect each other. Therefore, if we have the lengths of the segments of one diagonal, we can set them equal to each other to find x.
In this case, we have:
Assuming the point of bisect is O, we have
PO = 4x + 17
OR = 5x + 11
Since the diagonals bisect each other, set these two segments equal to each other:
4x + 17 = 5x + 11
To solve for x, we can subtract 4x from both sides:
17 = x + 11
Then, subtract 11 from both sides:
6 = x
Therefore, x is equal to 6.