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Seventeen lines drawn in a plane, with no three concurrent and no two parallel, divide the plane into
closed regions (bounded on all sides) and open regions. The number of closed regions is


Sagot :

Answer:

120

Step-by-step explanation:

Make a chart:

Lines:                  0   1    2   3  4   5   6

Closed regions: 0   0   0   1   3   6   10

Find the number of numbers using the formula:

[tex]\frac{first term + last term}{2}[/tex] x 14 = [tex]\frac{2 + 15}{2}[/tex] x 14

                                  = 8.5 x 14

                                  = 119

119 + 1 = 120

(add 1 because we didn't count the first line in the formula)

I hope this helps :)

120 would most likely be your answer but