Step-by-step explanation:
Answer with Step-by-step explanation:
We have to prove that
is true for all sets A and B
Let 
Then 
or 
and 
or 
Hence,
Conversely ,Let
Then x belongs to A and x does not belongs to B then
x belongs to A- B
Or x belongs to A and x belongs to B then x belongs to 
Hence, 
Therefore,
Answer:
4 √6
Step-by-step explanation:
We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:
m²+z² = (8+4)² = 12²
4²+n²=z²
8²+n²=m²
We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.
4²+n²=z²
subtract 4²=16 from both sides
z²-16 = n²
plug that into the third equation
64 + z² - 16 = m²
48 + z² = m²
subtract 48 from both sides to solve for z²
z² = m² - 48
plug that into the first equation
m² + m² - 48 = 144
2m² - 48 = 144
add 48 to both sides to isolate the m² and its coefficient
192 = 2m²
divide both sides by 2 to isolate the m²
96 = m²
square root both sides to solve for m
√96 = m
we know that 96 = 16 * 6, and 16 = 4², so
m = √96 = √(4²*6) = 4 √6
Answer:
i think it is c sorry if wrong
Step-by-step explanation:
Answer:
sum of an exterior angle is 360
2x+56+85+57+4x=360
6x+198=360
6x=360-198
6x=162
x=162/6
x=27
