Answer:
The figure is a rectangle for [tex]x=10[/tex]
Step-by-step explanation:
we know that
If the figure MLON is a rectangle (see the attached figure to better understand the problem)
then
The diagonals must be congruent
so
LN=MO
substitute the given values and solve for x
[tex]4x-7=2x+13[/tex]
Group terms
[tex]4x-2x=13+7[/tex]
[tex]2x=20[/tex]
[tex]x=10[/tex]
