Each member of a four member relay team ran 100 meters during the relay. The time, in seconds, for each member is shown below. which expression finds the total time for the relay team

T = 13.9 + 12.85 + 14.82 + 12.74!

Step-by-step explanation:

The expression which correctly shows the time ran by each members of the relay team during the 100 meter race is

T= 13.9 + 12.85 + 14.82 + 12.74.

If this is evaluated the total time used by the members would be

T= 54.31.

But this isn’t what we were asked to look for, we were only told to select the best expression.

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.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.