A school district created the following two-way frequency table to show the participation of their students in extracurricular activities. Extracurricular Participation

Band Athletics Drama
Club Chorus Debate
Team Total
River High School 131 174 78 58 53 494
Bay High School 116 159 38 68 53 434
Total 247 333 116 126 106 928

What percentage of Bay High School extracurricular participants compete in athletics?
A.
35.88%

A

Step-by-step explanation:

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.

for b its (t) and c its (d)

step-by-step explanation: