Hello from MrBillDoesMath!
Answer:
5.06
Discussion:
Angle J = 180 - (120 + 40) = 180 - 160 = 20 degrees,
From the law of sines
sin(120)/k = sin(20)/2  =>
sin(120) =  k *  (  sin(20)/2) )                (multiply both sides by "k")
k = sin(120)/  (   sin(20)/2)                    (divide both sides by sin(20)/2)
k =  (0.866) /  ( 0.171) =  5.06
Regards,  
MrB
  P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
 
        
             
        
        
        
Answer:
Let L be the length of the rectangle and w be the width of the rectangle. 
"The lenght of a rectangle is one less than twice the width" means L=2W-1
Using perimeter formula of a rectangle which is P=2(L+W) you have:
P=2(L+W)
130=2(2W-1+W)
Solve equation above to find W
130=2(3W-1)
130=6W-2
130+2=6W
132=6W
W=22
From here you find L=2W-1=2x22-1=43
Only thing left is to find area A=LxW
 
        
             
        
        
        
The final answer would be 455
        
             
        
        
        
Answer:
PRT%
Step-by-step explanation:
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