Answer:
x = 6
Step-by-step explanation:
According to the rules of segment addition, AB+BC=AC.
Since the length of AB is x+5, length of BC is 2x+10, and total length of AC is 33, we can create the equation: (x+5) + (2x+10) = 33.
To solve, we combine like terms: 3x + 15 = 33.
Subtract 15 from both sides: 3x = 18.
Divide both sides by 3: x = 6.
