Question

Find the value of x for which ABCD must be a parallelogram. Express your answer as a decimal.

Answer 1

2x+7=12x-6
7=10x-6
13=10x
13/10=x

Answer 2

X= 1.3

Explanation:

If you need this to be a parallelogram, you need to found two pairs of parallel sides to be the same length.

The AB side has to be the same as the CD side.

So, to find x, you need to equal the two equations given, because both sides have to be the same.

`2x+7=12x-6`

To find x first put all X terms to one side of the equal and no X terms to the other side.

`7+6=12x-2x`

And you resolve

`13=10x\\13/10=x\\1.3=x`

So, to have a parallelogram, the value of X is 1.3