Solve for x
30=-5(6x+6)

x = -2

Step-by-step explanation:

30=-5(6x+6)

step 1 distribute the -5

-5 * 6x = -30x

-5 * 6 = -30

we now have 30 = -30x - 30

step 2 add 30 to each side

30 + 30 = 60

-30 + 30 cancels out

we now have 60 = -30x

step 3 divide each side by -30

-30x/-30 = x

60 / -30 = -2

we're left with x = -2

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.

$35.59 in pounds

step-by-step explanation: