Question

Points A, C and Q are collinear. Q is between A and C. AQ = 4x - 2, QC = 5x + 10, and AC = 80.

Solve for x.

Answer 1

To solve for x, set up an equation using the given information and simplify. Then solve for x's value.

Step-by-step explanation:

To solve for x, we need to set up an equation using the given information. Since Q is between A and C, the sum of AQ and QC should equal AC. So we set up the equation (4x - 2) + (5x + 10) = 80. Simplifying this equation, we have 9x + 8 = 80. Subtracting 8 from both sides, we get 9x = 72. Finally, dividing both sides by 9, we find that x = 8.