Answer:
Step-by-step explanation:
In parallelogram adjacent angles are supplementary
∠U +∠V = 180
9x + 15 + 6x + 15 = 180
Combine like terms
9x + 6x + 15 + 15 = 180
           15x + 30 = 180
Subtract 30 from both sides
           15x = 180 - 30
          15x = 150
Divide both sides by 15
             x = 150/15
x = 10
∠U = 9x + 15 
       = 9*10 + 15
       = 90 + 15
∠U = 105
∠V = 6x + 15
      = 6*10 + 15
      = 60 + 15
∠V = 75
 
        
             
        
        
        
x=3 
multiply 2 to both sides to cancel denominator
subtract 8x from both sides and then divide by 2
 
        
                    
             
        
        
        
Answer:
0 and 4
Step-by-step explanation:
 
        
             
        
        
        
For x^3-11x^2+33x+45 , we can make it an equation so <span>x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get 
      x^2-12x+45
       ___ ________________________
x+1 | x^3-11x^2+33x+45
      - (x^3+x^2)
       _________________________
            -12x^2+33x+45
          - (-12x^2-12x)
          ______________
            45x+45
         -(45x+45)
___________
0
Since that works, it's either B or D. We just have to figure out when
</span> x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2= 
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer