This is a 30-60-90 triangle.
What is the measure of x?
13
Х
X =
= [?]

Step-by-step explanation:

We know that in a 30-60-90 triangle, if the side opposite the 30 degree angle is , then the side opposite the 30 degree angle is and the side opposite the 90 degree angle is .

We know that, in this diagram, is opposite the 60 degree angle because it "looks" bigger(by inspection).

So, .

Therefore, the answer is and we're done!

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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