Find the value of x for which line a is parallel to line b.

34

32

68

56

A.

Step-by-step explanation:

We have been given a graph of two parallel lines and we are asked to find the value of x.

We can see that angle that measure x and the angle that measure 34 degrees is inside our parallel lines a and b and on the opposite side of transversal, so these angles are alternate interior angles.

Since the alternate interior angles are equal, therefore, value of x is 34 degrees and option A is the correct choice.  

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