Question

1. find the value of x for which abcd must be a parallelogram. 18 - 4x 7x + 7 1 28 7 14

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, the two - given expressions for the parts of the diagonals are equal, i.e., $7x + 7=18 - 4x$.

Step2: Solve the equation for x

Add $4x$ to both sides: $7x+4x + 7=18-4x+4x$, which simplifies to $11x + 7=18$.
Then subtract 7 from both sides: $11x+7 - 7=18 - 7$, getting $11x=11$.
Divide both sides by 11: $x = 1$.

Answer:

1