Given that B is between A and C. If AB=x, BC = 2x-3, and AC = 30. Find x and bc

x=11

BC=19

Step-by-step explanation:

AB+AC=AC this is because B is in between A and C. So now we can substitute all of the line segments, so we have

x+2x-3=30 Now you add 2x and x

3x-3=30 Now you add 3 to both sides so you can get 3x alone on one side

3x=33 Now you divide both sides by 3 so you get the x alone on one side

x=11

The next step is to substitute x to find BC.

BC=2x-3 Substitute the x with 11

BC=2 (11) - 3 Then multiply 2 and 11 because that is the rule with parenthesis

BC=22-3 then subrtact the 3 from 22

BC=19

You can check your work by doing AB+BC=AC

11+19=30 substitute your answers and then add them together

30=30