34.4k views
1 vote
B is between A and C. If AB=x+2, BC=2x-3 , and AC=5x-7 , what is AB?

1 Answer

7 votes

Final answer:

To find the value of AB, we use the equation AC = AB + BC. Solving for x and substituting the value back into the equation gives us AB = 5.

Step-by-step explanation:

We are given that B is between A and C. Let's find the value of AB using the information given.

Since B is between A and C, we can write:

AC = AB + BC

Substituting the given values:

5x-7 = x+2 + 2x-3

Combine like terms and solve for x:

5x-7 = 3x-1

2x = 6

x = 3

Now, substitute the value of x back into one of the equations to find AB:

AB = x+2 = 3+2 = 5

Therefore, AB = 5.

User Shati
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories