Find the unit rate
1. 84 miles in 12 days

The unit rate is 7 miles per day

Solution:

Given that, we have to find the unit rate

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Here given that 84 miles in 12 days

Therefore, unit rate is miles covered in 1 day

This means that, 7 miles is covered in 1 day

Thus unit rate is 7 miles per day

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.

answer

false

explanation

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