Rearrange the equation so m is the independent variable. 7m+2=7n-5 what would n equal

answer:

n = m + 1

step-by-step explanation:

7m+2=7n-5   (add 5 to both sides)

7m+2 + 5 =7n

7m+ 7 = 7n (factorize left hand side and rearrange)

7n = 7(m + 1)     (divide both sides by 7

n = m + 1

answer:

step-by-step explanation:

7m + 2 = 7n - 5

7n - 5 = 7m + 2

7n = 7m +   2 + 5

7n = 7m + 7

n = 7m/7 + 7/7

n = m + 1

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.