For a=(al, beth, carl, evan) and b-(beth, dan, evan, fred), list all elements in aub, a n b anda- b.

1) A∪B = {Al, Beth, Carl, Evan, Dan, Fred}

2) A∩B= {Beth, Evan}

3) A - B = only A = { Al, Carl}

Step-by-step explanation:

Since we have given that

A={Al, Beth, Carl, Evan}

B = {Beth, Dan, Evan , Fred}

We need to find A∪B, A∩B and A - B .

Since A∪B is the set of union i.e. collection of all sets A and B.

So, A∪B = {Al, Beth, Carl, Evan, Dan, Fred}

A∩B is the set of intersection i.e. the common element in both the sets A and B.

A∩B= {Beth, Evan}

And A - B is the set containing only A but not B.

A - B = only A = { Al, Carl}

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.