The graphs below show measurements from cubes with different side lengths. Which pairs of variables have a linear relationship? Select two options.

side length and perimeter of 1 face

area of 1 face and surface area

Step-by-step explanation:

The missing options are:

In the picture attached, the cube measurements are shown:

In a linear relationship:

variable a / variable b = k

Case: side length and perimeter of 1 face

12/3 = 16/4 = 20/5 = 24/6 = 4

Case: perimeter of 1 face and area of 1 face

12/9 ≠ 16/16 ≠ 20/25 ≠ 24/36

Case: surface area and volume

54/27 ≠ 96/64 ≠ 150/125 ≠ 216/216

Case: area of 1 face and surface area

54/9 = 96/16 = 150/25 = 216/36 = 6

Case: side length and volume

27/3 ≠ 64/4 ≠ 125/5 ≠ 216/6

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