Question

1. find the value of x for which abcd must be a parallelogram. -2x + 7 13x - 5 0.2 10.8 0.8 5.4

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. So, the two - given segments of the diagonals are equal, i.e., $- 2x + 7=13x - 5$.

Step2: Solve the equation for x

Add $2x$ to both sides: $7 = 13x+2x - 5$.
Simplify to get $7 = 15x - 5$.
Add 5 to both sides: $7 + 5=15x$, so $12 = 15x$.
Divide both sides by 15: $x=\frac{12}{15}=0.8$.

Answer:

$0.8$