In parallelogram ABCD the degree measure of ABC is 5 times the degree measure of BCD. How many degrees are in the measure of ADC

The measure of ∠ADC is 150°

Step-by-step explanation:

A parallelogram is a quadrilateral having parallel sides

The basic principle in solving this problem is knowing that opposite angles are congruent meaning they are equal.

Please check attachment for diagrammatic representation.

Now, we have represented ∠BCD by x°, what this means is that ∠ABC will be 5x°. Also, using the opposite angles are congruent property we raised earlier, ∠CAB will be x° while ∠ADC will be 5x°

To get the value of x, the parallelogram property we will be using is that the sum of the interior angles in a parallelogram is 360°.

Therefore, adding all these angles together, we have;

x + x + 5x + 5x + 360

12x = 360

x = 360/12

x = 30°

The measure of ∠ADC is 5x which is 5 × 30 = 150°

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: