Bethany writes a set of rational numbers in increasing order. her teacher asks her to write the absolute values of these numbers in increasing order. when her teacher checks bethany’s work, she is to see that bethany has not changed the order of her numbers. why is this?

All of Bethany’s rational numbers are positive or 0.  

Step-by-step explanation:

The positive rational numbers have the same order as their absolute values.  If any of Bethany’s rational numbers are negative, then the order would be different.

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step-by-step explanation:

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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