Question

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

Answer 1

Answer: 10

Explanation:

Answer 2

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:

`x = 10`

Option A