) ABC and CBD are supplementary angles. m/ABC=(5x+12) and m/CBD=(13x+24).Complete all the parts plz!

Step-by-step explanation:

Part (A).

Angles ABC and CBD are the supplementary angles.

Therefore, m(∠ABC) + m(∠CBD) = 180°

Now substitute the measure of each angle in the equation,

(5x + 12)° + (13x + 24)° = 180°

18x + 36 = 180

18x = 180 - 36

18x = 144

x = 8

Part (B).

m∠ABC = (5x + 12)

             = 5(8) + 12

             = 52°

m∠CBD = (13x + 24)

             = 13(8) + 24

             = 104 + 24

             = 128°

Part (C).

We can check the results by adding measures of these angles.

m∠ABC + m∠CBD = 52 + 128

                               = 180°

Therefore, both the angles are supplementary angles which is already given.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet