Question

Hi I want to know if I’m correct on number 58

Answer 1

Question 58:

Given the line segment AC

As shown:

AB = 2x + 5

BC = 6x - 1

AC = 36

So,

`\begin{gathered} AB+BC=AC \\ (2x+5)+(6x-1)=36 \end{gathered}`

Solve for x:

`\begin{gathered} 8x+4=36 \\ 8x=36-4 \\ 8x=32 \\ x=(32)/(8)=4 \end{gathered}`

Substitute with x to find AB

So, the answer will be:

AB = 2x + 5 = 2*4 + 5 = 8 + 5 = 13

`AB=13`