For the parallelogram shown AB=2x+4 and CD =6x-3 determine the value of x

For a parallelogram, opposite sides are equal in length. Therefore, AB is equal in length to CD.

Given that AB = 2x + 4 and CD = 6x - 3, we can set them equal to each other:

2x + 4 = 6x - 3

Subtract 2x from both sides:

4 = 4x - 3

Add 3 to both sides:

7 = 4x

Divide by 4 on both sides to solve for x:

x = 7/4

Therefore, the value of x is 7/4.