Answer:
a. 3 units
Step-by-step explanation:
The length of BC can be found in 3 main steps, namely the formation of equations, solving for x and substitution.
Let's rewrite the given lengths:
AB= 4x +1 -----(1)
BC= 2x -7 -----(2)
AC= 24 -----(3)
Form an equation which relates the 3 lengths:
Given that B is between A and C,
AC= AB +BC -----(4)
Substituting equations (1) to (3) to equation (4):
24= 4x +1 +2x -7
Simplify:
24= 6x -6
Add 6 to both sides:
6x= 24 +6
6x= 30
Divide both sides by 6:
x= 5
Substitute x= 5 into (2):
BC
= 2x -7
= 2(5) -7
= 10 -7
= 3 units
Thus, option a is correct.
Additional:
For a similar question on length between two points, check out: https://brainly.com/question/17568999
