Below are two parallel lines with a third line intersecting them.

x=93°

Step-by-step explanation:

x is the same angle as 93°

they are corresponding angles

x=93º

Step-by-step explanation:

Remember that when you have two parallel lines that are intersected by a third line you will create only 2 types of angles, supplementary and congruent, since they are at the same side of the parallel lines, and at the same side of the intersect that means that the 93º angle and the x angle will be congruent to one another, meaning that they are equal, so the angle x will measure 93º.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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