Question

In the figure below, LN =4x-7 and MO=2x+13. For which value of x is the figure a rectangle?

Answer 1

Answer:

The figure is a rectangle for $x=10$

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

$4x-7=2x+13$

Group terms

$4x-2x=13+7$

$2x=20$

$x=10$