Asurvey of 100 persons at better widgets find that 40 jog, 25 swim, 16 cycle, 15 both swim and jog, 10 swim and cycle, 8 jog and cycle, and 3 persons do all three. how many people at better widgets do not take part in any of these exercise programs?

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.