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Q: The number of segments determined by n points is?

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n+1 = vertices of a pyramid If: n = number of sides of the polygonal base AND a pyramid has 1 point where line segments from points of the polygonal base intersect

The answer depends on whether any of the points are collinear: that is, whether they lie on the same line. No matter how many points you have, if they are all collinear you will have only one ray.If you have N points, the maximum number of rays is attained when no three of them are collinear. This number is N*(N-1)/2.

Number of triangles in a polygon is determined by (n-2) = number of triangles, whereas n is the number of sides of the polygon

Letters that have parallel line segments are H, E, F, M, and N

38 diagonals

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The answer depends on whether the n points are on a line and you are interested in linear segments or whether they are on the circumference of a circle and you are interested in the number of segments that the circle is partitioned into. Or, of course, any other shape.

If there are n points then the maximum number of lines possible is n*(n-1)/2 and that maximum is attained of no three points are collinear.

n+1 = vertices of a pyramid If: n = number of sides of the polygonal base AND a pyramid has 1 point where line segments from points of the polygonal base intersect

3

the rest of the question : N= Total number of individuals divided by Number of segments Total number of segments is 31

Use the formula n(n-1)/2 --> 7(7-1)/2 = 7(6)/2 = 42/2 = 21.

The answer depends on whether any of the points are collinear: that is, whether they lie on the same line. No matter how many points you have, if they are all collinear you will have only one ray.If you have N points, the maximum number of rays is attained when no three of them are collinear. This number is N*(N-1)/2.

Three.

Number of triangles in a polygon is determined by (n-2) = number of triangles, whereas n is the number of sides of the polygon

Can not be determined without the starting number in the series or n sub1

Because it isn't divisible by 2. Or..Because it's not even. An even number has 2 as one of it's factors (same as divisible by 2), or you could say that an even number can be determined by 2*n, where n is a positive integer, while an odd number can be determined by 2*n - 1, where in is a positive integer. Even (2*n) ---> 2,4,6,8,10,12,.....

A cube has 8 non-coplanar points at the vertices and has 6 faces. This is only a partial answer...3 points determine a plane so there will be many more than 6. Your answer is going to be found by the formula n!/(n-r)! where n=8 and r=3. That gives: 40320/120 = 336

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