PBJcatalinasandwich

In for the gruelling run for step by step....

for  \(1 \star 2\), we can list it as

\(\frac{1+2}{1-2}=\frac{3}{-1}=-3\)

and for \(-3 \star 3\) we can write it as:

\(\frac{0}{-6}\)

or, just \(\fbox{0}\)

I'm sure this is a trick question, but I guess I can try.

Order of operations first:

mean of 1 and 2 is 

\((1+2)/2=1.5\)

mean of 1.5 and 3 is

\((1.5+3)/2 =4.5/2 =2.25\)

mean of 2.25 and 4 is

\((2.25+4)/2 =6.25/2 =3.125\)

so the final answer is \(\fbox{3.125}\)

Ah. Forgive clumsy me. I thought that there was an extra angle :P

Well, glad you found it! 

In order to complete a 360 degree rotation on the outer sides, we simply find the rotation by subtracting 162 from 180, finding the vertical outer angle

180-162=18

18! Great! Now, it takes 360 degrees to complete one full circular rotation, so we take 360 and divide it by 18, which gives us 20, which is the amount of sides, if each side has an exterior vertical angle of 18. We have one angle that connects 2 sides, so 

 The answer is \(20 sides\)

Also, try out imaginary numbers too.

No answer for this since it's very easy to solve, but here's a hint: x and y can be negative, and a negative number squared is positive.

Ok. So we can list what we have out

The ratio of red paper clips to green paper clips is 3/2.

the reason for this must be the extra 48 clips

so, 3*48=144

then, 48*2=96, which is the amount of green paper clips with the ratio.

144+96=\(\fbox{240}\)

Edit: I was wrong