Question

If you place 35 points on a piece of paper so that no three points are in a line, how many line segments are necessary to connect each point to all the others?

Answer 1

Thank you for posting your Math question here at brainly. The line segments that are necessary to be connected to each point is 34. The total number of such connection is C(35,2) = 35 * 34/2. I hope the answer helps. 

Answer 2

Answer:

595 line segments are necessary to connect each point to all the others.

Step-by-step explanation:

Consider the provided information.

The formula for the number of line segments between "n" non-collinear points is:

$\frac{n\times ( n -1 )}{2}$ Segments

Here it is given that there are 35 points.

Substitute n = 35 in above formula.

$\frac{35\times (35 -1 )}{2}$

$\frac{35\times 34}{2}$

$35\times 17$

$595$ Segments

Hence, 595 line segments are necessary to connect each point to all the others.