The value of KM is equal to 5.
A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on the line located within.
Consider a point L on a line segment KM such that:
We have the values,
KL = 3x ;
LM = 2
Now, we know,
KL + LM = KM
KM = 3x + 2 ---------(1)
Now, KM = x + 4 ---------(2)
Equating the equations (1) and (2),
We get,
3x + 2 = x + 4
Now, subtract 2 from each side of the equation.
3x + 2 - 2 = x + 4 - 2
3x = x + 2
Subtracting x from each side of the equation.
3x - x = x + 2 - x
2x = 2
Dividing each side of the equation by 2.
( 2x / 2 ) = ( 2 / 2)
x = 1
Therefore,
KM = x + 4
KM = 1 + 4
KM = 5
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