Which quotient shows the decimal placed correctly? A) 6÷0.5=1.2 B) 0.64÷2=3.2 C) 0.57÷5=0.114 D) 1.08÷0.3=0.36

C) 0.57÷5=0.114

Step-by-step explanation:

Which quotient shows the decimal placed correctly?

Solving for each of the option

A) we are told that:6÷0.5=1.2

Hence: 6/0.5

= 12

Option A is wrong

B) we are told that: 0.64÷2=3.2

Hence: 0.64/2

= 0.32

Option B is wrong

C) we are told that: 0.57÷5=0.114

Hence: 0.57/5

= 0.114

Option C is correct

D) we are told that: 1.08÷0.3=0.36

Hence = 1.08/0.3

= 3.6

Option D is wrong

Therefore, option C is the only correct Option where the quotient shows the decimal placed correctly

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.

the answer is b.)

< 1=< 2