Answer:
mAB = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Algebra I
- Terms/Coefficients/Degrees
Explanation:
Step 1: Define
Set up equation.
mAB + mBC = mAC
x + 4 + 4 = 3x + 2
Step 2: Solve for x
- Combine like terms: x + 8 = 3x + 2
- Isolate x terms: 8 = 2x + 2
- Isolate x term: 6 = 2x
- Isolate x: 3 = x
- Rewrite: x = 3
Step 3: Find AB
- Define: mAB = x + 4
- Substitute in x: mAB = 3 + 4
- Add: mAB = 7