20 people show up to a post-pstat 120a party. if everyone shakes hands with everyone else, how many handshakes take place

There are 190 handshakes takes place.

Step-by-step explanation:

Since we have given that

Number of people in the party = 20

Here, n = 20

So, the number of handshakes would be

Hence, there are 190 handshakes takes place.

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

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step-by-step explanation: