114k views
1 vote
Find x if AB = 9, BC = 2x - 5,
and AC = x + 9

2 Answers

1 vote

Answer:

x = 5

Explanation:

Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:

AB + BC = AC

Now, using the given values, we can substitute in for the equation and solve for x:

AB + BC = AC

9 + 2x - 5 = x + 9

2x + 4 = x + 9

x = 5

Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.

Cheers.

User Ferrelwill
by
8.0k points
2 votes

Answer:

x=5

Explanation:

AB + BC = AC

9+ 2x-5 = x+9

Combine like terms

2x+4 = x+9

Subtract x from each side

2x+4-x = x+9-x

x+4 = 9

Subtract 4 from each side

x+4-4 = 9-4

x=5

User Sean Vaughn
by
8.2k 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