Using the Parallelogram Side Theorem Parallelogram A B C D is shown. Sides A B and D C are parallel. The length of A B is 4 q minus 8 and the length of D C is q + 4. What is the length of side AB of parallelogram ABCD? units

The length of AB = 8 units

Step-by-step explanation:

Given: In parallelogram ABCD, Sides A B and D C are parallel.

The length of AB is 4q minus 8 and the length of DC is q + 4.

Since opposite sides of parallelogram is parallel and equal.

So

Length of AB = 4q-8=4(4)-8=16-8=8 units

Hnece, the length of AB = 8 units

1d

2b

3 false

4 d

5 3200sq,ft

80+60+y=180

then divide the difference between 60 and y and add it to 180

so x =180 +( (y-60)/2)

x equals 200

step-by-step explanation:

8

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.