Q:

can someone please help I only have less than 30 min left on this assignment Find AB, BC, and AC.Part I: The length of line segment AC is 8x - 9. Use the figure below to find the value of x. Show your work. Part II: Use the solution you found for x in Part I to find AB, BC, and AC. Show your work.

Accepted Solution

A:
Answer:x = 5AB = 16BC = 15AC = 31Step-by-step explanation:The segment addition theorem tells you ...   AB + BC = ACFilling in the expressions for these segments, you have ...   (3x +1) + (4x -5) = (8x -9)   3x +1 +4x -5 +9 -7x = 8x -9 +9 -7x . . . add 9 - 7x to both sides of the equation   5 = x . . . . . . . simplify__AB = 3·5 +1 = 16BC = 4·5 -5 = 15AC = 8·5 -9 = 31