Question

Let B be between A and C. Use the Segment Addition Postulate to solve for s.Segment Addition Postulate: AB + BC = ACAB = 4s -18BC = 6s -12AC = 20a s = 6Ds = 18ONS = -12DIS= 5

Answer 1

Given:

B be between A and C.

So,

`AB+BC=AC`

if :

`\begin{gathered} AB=4s-18 \\ BC=6s-12 \\ AC=20 \end{gathered}`

So, substite with the values of AB, BC and AC then solve for s

`(4s-18)+(6s-12)=20`

Combine like terms:

`\begin{gathered} 4s+6s=20+18+12 \\ 10s=50 \end{gathered}`

Divide both sides by 10:

`\begin{gathered} (10s)/(10)=(50)/(10) \\ \\ s=5 \end{gathered}`

So, the answer is :

`s=5`