Write an equation that could be used to find the value of x using the interior angles of ∆ABD, then solve the equation.

equation: 55 + (2x + 3) + 90 = 180

55 + 2x + 3 + 90 = 180

2x + 148 = 180

2x = 32

x = 16

55 + 50 + 2x+3 + 2x+8 = 180

x = 16

Step-by-step explanation:

55 + 50 + 2x+3 + 2x+8 = 180

113 + 4x = 180

4x = 64

x = 16

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

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x