Find the sum of 5 + 20 and the opposite of 20. Write an equivalent expression in standard form. Justify each step.

We know that the opposite is the additive inverse.

For example, 8+(−8)=0 where 0 is the identity for addition.

Given that we have to compute the sum of 5x+20 and the opposite.

Given

5x+20

opposite of 5x+20 = -(5x+20)

so

The sum of 5x+20 and the opposite:

5x+20 + -(5x+20)

Distribute the Negative Sign

Combine Like Terms

Therefore, the sum of 5x+20 and the opposite is: 0

Thus, the equivalent expression is:

yes. we do proportions in probabilities.

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