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.

$7=x$

$AB=40$

$AC=2(7)+10$

$AC=14+10$

$AC=24$

$BC=3(7)-5$

$BC=21-5$

$BC=16$