Based on the segment addition theorem, the measure of AC is expressed as: AC = 8x - 3.
What is the Segment Addition Theorem?
Based on the segment addition theorem, given that, the points, A, B, and C are said to be collinear, therefore, the sum of the length of AB and Bc equals the length of AC.
Given the following:
AB = 3x
BC = 5x - 3
Therefore, we will have the following equation:
AC = AB + BC [according to the segment addition theorem]
Substitute the values into the equation
AC = 3x + 5x - 3
Combine like terms
AC = 8x - 3
Thus, based on the segment addition theorem, the measure of AC is expressed as: AC = 8x - 3.
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