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rewona [7]
2 years ago
10

Lines passing through the same point are concurrent. Into how many regions do 35 concurrent lines divide the plane?

Mathematics
1 answer:
Iteru [2.4K]2 years ago
5 0

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

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From the complete question (see attachment), we have the following observations

  • \mathbf{1\ line = 2\ regions}
  • \mathbf{2\ lines = 4\ regions}
  • \mathbf{3\ lines = 6\ regions}

Using the above sequence as a guide, the number of regions for n lines is:

\mathbf{f(n) = 2n}

So, when \mathbf{n = 35}; i.e. 35 lines

The number of region is:

\mathbf{f(35) = 2 \times 35}

\mathbf{f(35) = 70}

This means that:

35 concurrent lines divide the plane into 70 regions

Read more about linear equations at:

brainly.com/question/11897796

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