Nash is training for a marathon and decides to train for 26 miles every week. In the first week, the ratio of the number of miles he ran to the number of miles he walked 3:10

Nash ran 6 miles and walked 20 miles.

Step-by-step explanation:

Note: Consider we need to find the number of miles he ran and the number of miles he walked in the first week.

Total distance = 26 miles every week.

Ratio of the number of miles he ran to the number of miles he walked is 3:10.

Let he ran 3x miles and walked 10 x miles. So,

Total distance = 3x+10x

Divide both sides by 13.

The value of x is 2.

Number of miles he ran = 3(2) = 6 miles

Number of miles he walked = 10(2) = 20 miles

Therefore, Nash ran 6 miles and walked 20 miles in the first week.

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.

plz yuo

step-by-step explanation: