Given that point J is on the line segment IK, the numerical value of segment IK is 20.
Given the data in the question;
First we determine the value of x.
Since J is a point between I and K
Segment IK = Segment IJ + Segment JK
We plug in the given values.
5x = 4 + 4x
Collect like-terms
5x - 4x = 4
x = 4
Since Length of segment IK = 5x
IK = 5x
IK = 5(4)
IK = 20
Given that point J is on the line segment IK, the numerical value of segment IK is 20.
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