Question

If C is between A and B, then answer the following if AB=40, AC= 2x+10, CB= 3x-5

Answer 1

If C is between A and B, then, we can write the equation

`AB = AC + CB`

Substitute the value of AB and the expressions for AC and CB in terms of x.

`40 = (2x+10)+(3x-5)`

We can now solve for x.

`40-10+5= 2x+3x`

`35=5x`

Dividing by 5.

`7=x`

`AB=40`

`AC=2(7)+10`

`AC=14+10`

`AC=24`

`BC=3(7)-5`

`BC=21-5`

`BC=16`