Final answer:
To find the value of x in the parallelogram with side CD being 23 and BE being 8x-1, we solve the equation 23 = 8x - 1 which gives x as 3.
Step-by-step explanation:
The student is tasked with solving for the variable x in a geometry problem involving a parallelogram. In parallelograms, opposite sides are equal in length. Since CD is given as 23, and BE is represented by the algebraic expression 8x - 1, we can set them equal to each other because they are opposite sides and hence must be of equal length.
Therefore, we have the equation 23 = 8x - 1. To solve for x, we can rearrange the equation to 8x = 24, and by dividing both sides by 8, we get x = 3. Hence, the value of x is 3.