Question

1. find the value of x for which abcd must be a parallelogram.

9.6
13
1
1.3

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, the two - given segments are equal, i.e., $2x + 7=12x - 6$.

Step2: Solve the equation for x

First, move the $x$ terms to one side: $7 + 6=12x-2x$.
$13 = 10x$.
Then, divide both sides by 10: $x=\frac{13}{10}=1.3$.

Answer:

$1.3$