what is the value of the variable and bc if b is between a and c if AB=17, BC=3m, AC=32

AB+BC = AC

so,
17+3m = 32
3m = 15
m = 5

To find the value of the variable BC, we need to use the given information that BC is between A and C, and also the lengths AB and AC.

Given:
AB = 17
BC = 3m
AC = 32

Since BC is between A and C, the sum of AB and BC must be equal to AC.

AB + BC = AC

Substituting the given values, we have:

17 + 3m = 32

Now, solve the equation for m.

Subtract 17 from both sides:

3m = 32 - 17

3m = 15

Now divide both sides by 3:

m = 15 / 3

m = 5

Therefore, the value of the variable m is 5.