Final answer:
To find x, we set up an equation using the lengths of the line segments AB, AC, and BC. We can solve the equation AB + BC = AC for x by substituting the given lengths and simplifying.
Step-by-step explanation:
To find x, we need to set up an equation using the lengths of the line segments AB, AC, and BC. We know that AB = 7, AC = x + 21, and BC = 2x + 24. To find x, we can set up the equation AB + BC = AC and solve for x.
Substituting the given lengths, we have 7 + (2x + 24) = x + 21.
Simplifying the equation, we get 2x + 31 = x + 21.
Subtracting x from both sides, we have x + 31 = 21.
Subtracting 31 from both sides, we get x = -10.
Therefore, x is equal to -10.