Math Problem Statement
B is between A and C. If AB = x + 2, BC = 2x - 3, and AC = 5x - 7, what is AB?
Solution
The problem provided states:
- ,
- ,
- ,
- B is between A and C.
Since B is between A and C, we can use the property of segment addition, which states:
Substituting the given expressions for , , and :
Now, let's solve for .
Now that we know , substitute it back into the expression for :
Thus, the length of is 5.
Would you like further details or explanations? Here are some related questions to deepen your understanding:
- What is the length of for this problem?
- Can you verify that using the values of and the corresponding segment lengths?
- How does the segment addition postulate apply in geometry?
- What happens to the length of if were a different value?
- Can we apply a similar process if were not between and ?
Tip: When solving for unknowns in geometric problems, always check if all parts of the equation add up correctly using substitution.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Segment Addition Postulate
Formulas
AB + BC = AC
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 8-10