Respuesta :

Answer:

The value of AB is 14

Step-by-step explanation:

When we say a set of points are collinear, what we mean is that those points are on the same straight line i.e they lie on a straight line.

Now B is between A and C

Since B is between A and C

Then mathematically;

AC = AB + BC

18 = AB + 4

AB = 18-4

AB = 14

akposevictor

Based on the segment addition theorem, the value of AB would be: 14.

What is Segment Addition Theorem?

Given that three points, A, B, and C are collinear, where b is between points A and C, the segment addition theorem states that, AB + BC = AC.

Given:

  • AC = 18
  • BC = 4
  • AB = ?

Thus:

AB + 4 = 18 (segment addition theorem)\

AB = 18 - 4

AB = 14

Thus, based on the segment addition theorem, the value of AB would be: 14.

Learn more about segment addition theorem on:

https://brainly.com/question/1397818

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