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3 years ago

Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x

Mathematics

1 answer:

andrew-mc [135]3 years ago

5 0

Answer:

MN = 4

Step-by-step explanation:

Given that L, M, N are collinear,

LN = 9,

MN = 4x

LM = 5x

Required:

Length of MN

SOLUTION:

To calculate the numerical length of MN, we need to find the value of x.

To find the value of x, generate an equation to solve for x as follows:

$LM + MN = LN$ (segment addition postulate)

$5x + 4x = 9$ (substitution)

Solve for x

$9x = 9$

Divide both sides by 9

$\frac{9x}{9} = \frac{9}{9}$

$x = 1$

MN = 4x

plug in the value of x

MN = 4(1) = 4

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