In a roller-skating rink, the skaters all move at different speeds. most skate slightly faster or slower than others, but sometimes an adventuresome skater accelerates to an "outlying" speed that is much higher than that of everyone else, causing a hazard. as a result, skating rinks often post a sign that says:

any skater moving faster than the average speed of all the skaters will be asked to leave the rink.

it is clear what the sign means, but it is statistically nonsensical. if there are 150 skaters in the rink, all skating at slightly varying speeds, what is the best estimate for how many of them are moving faster than the average speed of all the skaters?
a. 100
b. 0
c. 25
d. 75
e. 50

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3