Question

Point B is on line segment AC. Given AB = 3x, BC =4x+8 and AC = 5x + 10, determine the numerical length of AC

Answer 1

Answer:

15

Step-by-step explanation:

determine the numerical length of AC

We know that Ac is equaled to ab and bc because they are the segements between ac  

                3x                                4x+8

A-----------------------------B----------------------------------C

|<----------------------------5x+10 --------------------------->|

AB + BC = AC

solving for x

3x + 4X + 8 = 5X + 10

3x+4x-5x= 10-8

2x=2

x=1

Now sub that in for ac

AC= 5x +10

AC= 5(1) +10

AC= 5 +10

AC = 15