In the figure below, L N equals 4 x minus 7 and M O equals 2 x plus 13. For which value of x is the figure a rectangle? A. x = 10 B. x = 1 C. x = 14 D. x = 29

Question

asked Sep 4, 2019 225k views

2 Answers

Tom Heeley · Answer 1 · 2019-09-10T09:28:57+0000

For this case we have the following data:

LN = 4x-7

MO = 2x + 13

So that the figure can be a rectangle, its diagonals must be equal, that is,
LN = MO

In this way we have:

4x-7 = 2x + 13

Clearing x we have:

$4x-2x = 13 + 7 \\2x = 20$

$x=(20)/(2) \\x = 10$

Thus, x must be equal to 10 so that the figure is a rectangle.

Answer:

Option A