When the members of a family discussed where their annual reunion should take place, they found that out of all the family members, 8 would not go to a park, 6 would not go to a beach, 10 would not go to the family cottage, 3 would go to neither a park nor a beach, 3 would go to neither a beach nor the family cottage, 5 would go to neither a park nor the family cottage, 2 would not go to a park or a beach or to the family cottage, and 1 would go to all three places. What is the total number of family members?

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.

step-by-step explanation:

for volume, add base x height x width

the eight graders whould be the answer

step-by-step explanation: could you give me 5 stars