Question

triangle abc is shown below. what is the length of line segment ac? 7 9 14 18 (triangle with a at top, b and c at base, ab=2x, ac=3x-7, bc=4x-10, angles at b and c are marked equal)

Explanation:

Step1: Identify equal sides

Angles at B and C are equal, so AB = AC: $2x = 3x - 7$

Step2: Solve for x

Subtract $2x$ from both sides: $0 = x - 7$ → $x = 7$

Step3: Calculate AC

AC = $3x - 7 = 3(7) - 7 = 14$

Answer:

14