' n '    the 'n'th term
1               4
2               2  
3               0
4              -2 .
In general, the 'n'th term of the sequence is   A(n) = 6 - 2n  .
        
             
        
        
        
Answer: x=75
Explanation:
x+10+x+20=180
combine like terms
2x+30=180
subtract 30 from each side
2x=150
divide each side by 2 
x=75
        
             
        
        
        
Answer:
1
Step-by-step explanation:
We are given the expression ![[(\frac{3}{5})^0]^{-2}](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B3%7D%7B5%7D%29%5E0%5D%5E%7B-2%7D) and are asked to find the value of it.
 and are asked to find the value of it.
To solve this, we can use the exponent rule of multiplying the exponent inside of the parenthesis with the one outside of the parenthesis.



Anything with an exponent of zero equals 1. Therefore :

 
        
                    
             
        
        
        
Answer:
3 miles per hour
Step-by-step explanation:
It is given that Diego and his friends took part in a walk a thon to raise money for cancer research. 
From the table, it is given that:
Time took by Diego in hours = 2 hours
Miles walked by Diego in miles = 6 miles
Therefore, Diego is walking with a speed of = 
                                                                           = 3 miles per hour
 
        
             
        
        
        
9514 1404 393
Answer:
   ∠1 = 67°; ∠2 = 113°
Step-by-step explanation:
<u>Given</u>:
   ∠1 = 2x-3
   ∠2 = 3x +8
   ∠1 +∠2 = 180
<u>Find</u>:
   ∠1, ∠2
<u>Solution</u>:
Substituting the first two relations into the third, we have ...
   (2x -3) +(3x +8) = 180
   5x +5 = 180 . . . eliminate parentheses
   x + 1 = 36 . . . . . divide by 5
   x = 35
Then the angles are ...
   ∠1 = 2x-3 = 2(35) -3
   ∠1 = 67°
   ∠2 = 3x +8 = 3(35) +8
   ∠2 = 113°