Answer: EG = 80
Step-by-step explanation: A parallelogram is a quadrilateral with opposite sides parallel to each other.
The diagonals of a parallelogram bisect each other, which means, using the figure as example:
EJ = JG
So, to determine EG, first find w:
[tex]4w+4=2w+22[/tex]
[tex]2w=18[/tex]
w = 9
Substituting:
[tex]EJ=4w+4[/tex]
[tex]EJ=4(9)+4[/tex]
EJ = 40
Since each segment has the same measure:
EG = 2EJ
EG = 2(40)
EG = 80
The measure of EG is 80 units
