Four students were asked to write an expression which has terms that have a greatest common factor of ab. The expressions provided by the students are shown below.
Michelle
16a+ 3b

Naomi
18abc-13 abc

Peyton
15abc+14ab

Olivia
20ab-14abc

Which student wrote the correct expression?
O Michelle
O Naomi
O Olivia
O Peyton

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.

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation:

[2, 2.5)

(2.5, 3]

step-by-step explanation:

i think its these two not sure [2, 2.5)

(2.5, 3]

i need more details sorry

step-by-step explanation: