Sally works at a store. x represents Sally's monthly paycheck, and y represents her
monthly savings.
Sally will save at least $20 more than half of her paycheck each
month.
She can save at most $80 more than two-thirds of her paycheck
each month.
Her paycheck each month is at least $1,200, but no more than
$1,850.
Which system of inequalities represents these constraints?

Y x+ 20

              Y x+ 80

              X 1,200

             X   1,850

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.

21/58.

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