In a rhombus, all sides are equal.
So for the quadrilateral MNOP to be a rhombus, the given sides have to be equal. THat is
[tex] MN=ON [/tex]
[tex] 4x-7 =7-3x
[/tex]
Adding 3x to both sides and addinf 7 to both sides
[tex] 7x = 14 [/tex]
Now we need to get rid of 7 and for that we do division, that is
[tex] \frac{7x}{7} = \frac{14}{7} [/tex]
[tex] x=2 [/tex]
Correct option is the second option .
