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stiv31 [10]
3 years ago
11

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?

Mathematics
1 answer:
Georgia [21]3 years ago
3 0

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=\frac{20}{2} \\x = 10

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


Answer:


x = 10

Option A

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