For what value of x must abcd be a parallelogram?

justify your reasoning with theorems/postulates and show all work to receive credit.

Step-by-step explanation:

Parallelogram's diagonals theorem states that the diagonals in a parallelogram must bisect each other.

So for ABCD to be a parallelogram, the two diagonals must be divided in equal sections.

That is given for BD already.

For AC, 3x = 4x - 6

Rearranging, 4x - 3x = 6

x = 6

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.