Number of intersections = 595 intersections
We are drawing 35 lines which must not be parallel to each other.
Also, which must not be concurrent that means they must not intersect at a single point.
Now, I have attached an image of 1 line, 2 lines, 3 lines, 4 lines to show where they are intersecting as regards the conditions given to us in the question.
Looking at the attached image, we see that;
For 1 line; 0 intersections
For 2 lines; 1 intersection
For 3 lines; 3 intersections
For 4 lines; 6 intersections
From this, we see that If we have n lines, the number of intersections increases by n for n + 1 lines.
Thus, the number of intersections can be expressed as; n(n-1)/2.
Where n is number of lines.
Since we have 35 lines, then;
Number of intersections = (35(35 - 1))/2
<em>Number of intersections = 595 intersections</em>
Read more at; brainly.com/question/13080629