ABCD is a parallelogram. If AB is equal to 2x + 1 and CD is equal to x + 13, find x.
To find the value of x, we can use the fact that opposite sides of a parallelogram are equal in length. In this case, we are given that AB is equal to 2x + 1 and CD is equal to x + 13.
According to the properties of a parallelogram, AB and CD must be equal. Therefore, we can set up an equation as follows:
2x + 1 = x + 13
Now we can solve this equation to find the value of x. Let's simplify the equation:
2x - x = 13 - 1
x = 12
Therefore, the value of x is 12.