Question

A, B, and C are collinear points:

B is between A and C.
If AB = 3x + 4, BC = 4x - 1, and AC = 6x + 5,
find AC.

Answer 1

9514 1404 393

Answer:

AC = 17

Explanation:

The segment sum theorem tells you ...

AB +BC = AC

Substituting the given expressions, we have ...

(3x +4) +(4x -1) = (6x +5)

x = 2 . . . . . . . . . . . . . . . . . . subtract 3+6x from both sides

AC = 6x +5 = 6(2) +5

AC = 17

_____

AB = 10, BC = 7