For the high jump, each competitor receives multiple opportunities to clear the bar at each height. On average, Shane completes 2 out of 3 jumps on the lowest bar, 4 out of 6 jumps on the middle bar, and 1 out of 4 jumps on the highest bar. Write an equation that you could use to find Shane’s overall average number of jumps completed. Calculate Shane’s average using the equation.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

step-by-step explanation: