Acarpenter is building cabinets. for each cabinet, she needs 8 sets of supplies. at store a, each set of supplies costs $3.75. the total cost (y), in dollars, of the supplies she needs to buy at store a to build (x) cabinets is represented by the equation below.
y= 8(3.75x)
at store b, the total cost, (y), in dollars, of the supplies she needs to buy to build (x) cabinets. the carpenter spends a total of $180 on supplies. to which store did the carpenter go for supplies, and how many cabinets can she build?
a. the carpenter went to store a, and she can build 6 cabinets.
b. the carpenter went to store a, and she can build 15 cabinets.
c. the carpenter went to store b, and she can build 5 cabinets.
d. the carpenter went to store b, and she can build 6 cabinets.

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.

yes

step-by-step explanation:

yes

its 60

4 x 12 = 48

3 x 4 = 12

48 + 12 = 60

yeeeet