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Question 10
B is between A and C. If AB = x +4, BC = 2x - 2, and AC = 4x 1, what is AB?
AB=

Respuesta :

x+4+2x-2=4x-1
combine like terms
3x-2=4x-1
-3x -3x
-2 =x-1
+1 +1
-1=x
then plug it into AB
-1+4=AB
3=AB <----- final answer

The length of AB = 5 units

We have a point B is between A and C.

We have to determine the length of AB.

What is Line Segment?

  • A line segment is a part of a line having two end - points.
  • A line segment has a definite length.

According to the question, we have -

AB = x + 4

BC = 2x - 2

AC = 4x - 1

Now -

AC = AB + BC

4x - 1 = x + 4 + 2x - 2

4x - 1 = 3x + 2

3x = 3

x = 1

Therefore -

AB = 1 + 4 = 5 units

Hence, the length of AB = 5 units

To solve more questions on Line Segments, visit the link below-

https://brainly.com/question/19569734

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