Question

MATHEMATICAL CONNECTIONS What value of x makes the quadrilateral a parallelogram?

Answer 1

Answer:

x = 5 (check the diagram included)

Step-by-step explanation:

The question is incomplete, I have included a diagram to aid the understanding of the question

Parallelograms are quadrilaterals which have their opposite sides parallel and equal. This also means that the opposite angles in a parallelogram are equal

From the attached figure, we have:

|FG| = 3x + 10, |HE| = 7x - 30

To calculate for the value of x that makes the quadrilateral a parallelogram, we have:

Remember the opposite sides of a parallelogram are equal

3x + 10 = 7x - 30

3x - 7x = 10 - 30

-4x = -20

x = 20 ÷ 4

x = 5

x = 5 makes the quadrilateral a parallelogram