Kate used 30% off coupon to purchase a sweater. If she saved $14.40, what was the original price of the sweater?

Original price = $20.57

Step-by-step explanation:

Let original price be X

X - discounted price = $14.4

discounted price = 30% of X

= 30/100 × X

=0.3X.

Therefore:

X - 0.3X = 14.4

0.7X = 14.4

X = 14.4 ÷ 0.7 = $20.57

Therefore, Original price = $20.57

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.

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step-by-step explanation: