What are mutually exclusive events?
events in which event#1 must happen before event #2
events in which event#1 and event#2 must happen at the same time
events in which event#1 must happen after event#2
events in which neither event is dependent upon the other

The correct answer would be option D, Events in which neither event is dependent upon the other.

Step-by-step explanation:

Mutually exclusive events are the events which cannot occur at the same time. If there are two events, then in mutually exclusive situation, both events can not happen at the same time. One event will happen at a time. Mutually exclusive events are also called disjoint. Both events are not dependent upon one another. The occurrence of one event would not change the occurrence of the other event. The most appropriate and suitable example of mutually exclusive events is the tossing of a coin. Either tails will come or heads. Both events can't happen at the same time, and also not both events are dependent upon each other.

answer: 21$

step-by-step explanation:

$42 / $14 = 3   (ratio 3: 1)

$7 x 3 = $21

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.