Step-by-step explanation:
This is known as the triple tangent identity.  Start with the fact that the three angles add up to 0.
(x − y) + (z − x) + (y − z) = 0
Subtract two terms to the other side and take the tangent:
x − y = -((z − x) + (y − z))
tan(x − y) = tan(-((z − x) + (y − z)))
Use reflection property:
tan(x − y) = -tan((z − x) + (y − z))
Now use angle sum identity:
tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]
tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]
tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)
tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)
tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)
 
        
             
        
        
        
Answer:
504
Step-by-step explanation:
In the attached file 
Hope it helps
 
        
             
        
        
        
Answer:
2
Step-by-step explanation:
Ok, so if we know how much wire is needed for one outlet, we must figure out how many 18.25s fit into 50 ft of wire.
18.25*2=36.5
18.25*3=54.75 which is over 50 so it cannot possibly be more than 2.
 
        
                    
             
        
        
        
To estimate, round 3102 to 3100
round 1-10 to 2500
1-70 to 2100 
1-80 to 2900
2900+2100+2500+3100=10600mi
Yes it is reasonable because you add and subtract numbers when estimating, however it is not exact
        
             
        
        
        
Step-by-step explanation:
It is given that,
-2.2 × 3.7 = 8.14
The first number is -2.2
The second number is 3.7
We know that, (-) × (+) = - (the answer is a negative)
If we multiply -2.2 and 3.7, we will get -8.14.
But in the given case, the answer is 8.18 instead of -8.14. Hence, this is the only error.