I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 8

x = 7.423891441

Step-by-step explanation:

Hey There!

So they want you to solve for x using law of sines

Law of sines states that sin ( an angle) divided by it's opposite side equals sin( a different angle) divided by its opposite side

so basically

now we can solve for x

step 1 multiply each side by sin 23

the fraction would split and it would be

So we can conclude that x = 7.423891441

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

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