Question 58:
Given the line segment AC
As shown:
AB = 2x + 5
BC = 6x - 1
AC = 36
So,
[tex]\begin{gathered} AB+BC=AC \\ (2x+5)+(6x-1)=36 \end{gathered}[/tex]
Solve for x:
[tex]\begin{gathered} 8x+4=36 \\ 8x=36-4 \\ 8x=32 \\ x=\frac{32}{8}=4 \end{gathered}[/tex]
Substitute with x to find AB
So, the answer will be:
AB = 2x + 5 = 2*4 + 5 = 8 + 5 = 13
[tex]AB=13[/tex]
