Write an equation that can be used to find the value of x.

x=29

Step-by-step explanation:

Since you have a 90° angle drawn, all of those angles added together has to equal 90. To solve this you add all of them to get 3x+3=90°. First, subtract the 3 to get the x variable on one side. After this, you get 3x=87. Then, divide by 3 to get x=29. To check this, plug in 29 for x in the equation and add them altogether, it should equal 90° :)

divide by 5

step-by-step explanation:

60/5 = 12

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.