Question

B is a midpoint of ACAC = 38AB = 3x+4BC = 5x-6a) Find x.b) Find AB.c) Find BC

Answer 1

we have the following:

`\begin{gathered} AC=AB+BC \\ \end{gathered}`

replacing:

`\begin{gathered} 38=3x+4+5x-6 \\ 3x+5x=38+6-4 \\ 8x=40 \\ x=(40)/(8) \\ x=5 \end{gathered}`

AB:

`3\cdot5+4=15+4=19`

BC:

`\begin{gathered} 5\cdot5-6=25-6=19 \\ \end{gathered}`

therefore,

x = 5

AB = 19

BC = 19