Answer:
P=143
Step-by-step explanation:
So, we know that P and Q are supplementary angles. In other words:

We also know that P is 5 less than 4 times Q. Thus: 

Substitute the second equation into the first: 
 
Find Q. Combine like terms: 

Add 5 to both sides: 

Divide both sides by 5: 

So, Q is 37 degrees. 
Q and P are supplementary, which means that P is 180-37 or 143 degrees. 
And we're done!
 
        
             
        
        
        
Answer:
Step-by-step explanation:
1)  x - 21x  = 5
x   = x * 1
21x = x * 21
GCF = x
x - 21x = 5
x*(1 -21) = 5
x * (-20) = 5
-20x = 5
x =5/-20
x = -1/4
2) 6n² = 6 * n * n
30n   = 6 * 5 * n
GCF = 6*n = 6n
6n² + 30n = 0
6n*(n + 5 ) = 0
6n = 0      or n + 5 = 0
n = 0             n = -5
n = 0 or -5
 
        
             
        
        
        
Rhonda has 25 coins in her pocket. all of the coins are either dimes or nickels. if rhonda has a total of $2.30, how many dimes does she have
 
        
             
        
        
        
Answer:
- (d) (x² + y² + z²)³ = 27x²y²z²
 
Step-by-step explanation:
<u>Use the identity:</u>
- a³ + b³ + c³ = 3abc if a + b + c = 0
 
<u>Substitute as follows:</u>
<u>The sum of the cubes is:</u>
- x² + y² + z² = 3(xyz)

 
<u>Cube both sides:</u>
- (x² + y² + z²)³ = 27x²y²z²
 
Correct choice is (d)
 
        
             
        
        
        
Answer:
It is B.
Step-by-step explanation:
No two same inputs or x are for the y.