You randomly draw marble from a bag. then you put it back before drawing a second marble. these events are independent events or dependent events?

Dependant events

Step-by-step explanation:

whether you choose the other marble or not solely depends on whether the other marble is placed back in.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.