Question

Point M is on line segment
L
N
‾
LN
. Given
L
N
=
9
,
LN=9,
M
N
=
4
x
,
MN=4x, and
L
M
=
5
x
,
LM=5x, determine the numerical length of
M
N
‾
.
MN

Answer 1

The value of x from the given expression is 1

Addition postulate

If the point M is on the line LN, then the equivalent addition postulate is expressed as;

LM+MN = LN

Given the following

LN=9,

MN =4x

LM=5x

Substitute

5x + 4x = 9

9x = 9

x =9/9

x = 1

Hence the value of x from the given expression is 1

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