Question

AB = 4x + 6 and BC = 72 + 15. if AC = 120, find the length of segment AB. ​

Answer 1

AB=33, x=6.75

Explanation:

In order to solve this equation, draw a line with three points labeled A, B, and C. Then fill out what you know with the given information being AB=4x+6 and BC=72+15, then AC=120. then follow these steps:

1. Write the following equation: 4x+6+72+15=120
2. Add like terms: 4x+93=120
3. Subtract 93 from both sides, isolating the variable (x): 4x=27
4. Divide both sides by 4 to get x=6.75

Now that we know that x=6.75, follow these steps:

1. Plug in x to the equation: 4(6.75)+6 to find the length of AB, and the answer would be 33.

I hope this helps!!!