What is the first step in solving the following problem? If a football field is 100 yd long, how would you find its length in miles?
A.
Multiply 100 times the conversion factor
1 mi
1760 yd
O B.
Multiply 100 times the conversion factor
1760 yd
1 mi
O C.
1 mi
Divide 100 into the conversion factor
1760 yd
O
D.
Divide 100 into the conversion factor
1760 yd
1 mi

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.

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: