[1.04] If B is between A and C, AB=2x-1, BC=3x+5 and AC=24, what is the value of x?
Segment A C contains point B.
*A=======B======*C
If AC = 24; AB = 2x-1 and BC = 3x+5, then AB + BC = AC. Solve for X. Post your work if you get stuck.
(2x -1) + (3x +5) = 24
5x +4 = 24
5x = 20
x = ?
thank you
If B is between A and C, AB=2x-1, BC=3x+5 and AC=24, what is the value of x?
Find the distance between the points (-1,4) and (-2,-9).
the answer is 4
because
you divide 5x=20 to 5
this will cancel 5 and give you
x=4
To find the value of x, we need to set up an equation using the information provided. Since B is positioned between A and C, the sum of AB and BC should equal AC.
Given:
AB = 2x - 1
BC = 3x + 5
AC = 24
The equation to solve is:
AB + BC = AC
Substituting the given values, we have:
(2x - 1) + (3x + 5) = 24
Combining like terms:
5x + 4 = 24
To isolate x, we subtract 4 from both sides of the equation:
5x = 20
Finally, we solve for x by dividing both sides by 5:
x = 4
So the value of x is 4.