Final answer:
To find the length of line segment AB, set up an equation by using the given information. Substituting the values and solving the equation will give the numerical length of AB.
Step-by-step explanation:
To find the length of line segment AB, we can use the given information and set up an equation.
AC = 2x + 7
BC = x
AB = 5x - 9
Since B is on line segment AC, we know that AB + BC = AC. Substituting the given values, we have (5x - 9) + x = 2x + 7. Solving this equation will give us the value of x, which we can then substitute back into the expression for AB to find its numerical length.