you can complete the drawing by continuously exerting gas from your exterior until your brain says the image that somehow appeared on your paper is correct.
Chat with our AI personalities
Either 12,14,16,or18 I think 18. * * * * * The correct answers is 4. You can draw only 3 diagonals from one vertex.
Select any point inside the hexagon and draw a line segment to any point on the boundary of the hexagon. Draw 7 more such segments. These will divide the hexagon into 8 parts. The parts will not be equal but that was not a requirement of the question.
Just draw the diagonals and you have four quarters.
n-3 diagonals. Of the n vertices of the polygon, you cannot draw diagonals to the two adjacent vertices since these are sides of the polygon and so not diagonals. And you cannot draw a diagonal from a vertex to itself. So those are three vertices that are ruled out, leaving n-3.
2 Pentagon-5 Hexagon - 9 formula diagonals=(n-3)+sum from i=1->i=(n-3) [i] diagonals=(n-3)+1+2+. . .+(n-3) The n-3 is because you cannot draw lines to a same point or adjacent ones. The reason (n-3) is used twice, is because the first 2 points you start to draw from are not connected to each other so they draw all the lines they can. Once you get to the third (assuming you are moving in a circle), the number of lines you can draw is reduced by 1, since that line is already drawn (to the first point). The 4th one now already has a line to the first and second points and so draws 2 less lines.