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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.

Step-by-step explanation:

The segment addition theorem tells you ...

  AB + BC = AC

Filling 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 = 16

BC = 4·5 -5 = 15

AC = 8·5 -9 = 31

what is the graph

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: