The calculated value of the variable x in the rectangle is 4
How to determine the value of the variable x
From the question, we have the following parameters that can be used in our computation:
The rectangle
Also, we have
AB = 5x - 6
BC = 3x + 2
The segments AB and BC are bisections of the diagonal AC
This means that
AB = BC
So, we have
5x - 6 = 3x + 2
This gives
2x = 8
Evaluate
x = 4
Hence, the value of x is 4