Record: 0/5 Score: o Penalty: None Complete: 0%
Lyn'nasia Jones
Expressions Percent More or Less (L1)
Feb 25, 9:47:25 AM
?
Hailey has a loyalty card good for a 1% discount at her local pharmacy. If the total
cost, before tax and discount, of all the items she wants to buy is c, which expression
represents the cost after the discount?
0.99C
0.999c
Submit Answer
lc
0.010

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.

i believe the answer is c.

it's d

step-by-step explanation: