The relationship between the lines and the number of region is an illustration of a linear equation.
35 concurrent lines divide the plane into 70 regions
From the complete question (see attachment), we have the following observations
- [tex]\mathbf{1\ line = 2\ regions}[/tex]
- [tex]\mathbf{2\ lines = 4\ regions}[/tex]
- [tex]\mathbf{3\ lines = 6\ regions}[/tex]
Using the above sequence as a guide, the number of regions for n lines is:
[tex]\mathbf{f(n) = 2n}[/tex]
So, when [tex]\mathbf{n = 35}[/tex]; i.e. 35 lines
The number of region is:
[tex]\mathbf{f(35) = 2 \times 35}[/tex]
[tex]\mathbf{f(35) = 70}[/tex]
This means that:
35 concurrent lines divide the plane into 70 regions
Read more about linear equations at:
https://brainly.com/question/11897796
