Step-by-step explanation:
Let the angle near point A be  .
.
Let the angle near point B be  .
.
Let the angle near point C be  .
.
Let the external angle near point A be  .
.
Let the external angle near point B be  .
.
Let the external angle near point C be  .
.
According to exterior angle property,exterior angle of an angle is the sum of other two angles.
So,

According to angle sum property,the sum of angles in the triangle add to 

 
        
                    
             
        
        
        
Answer:
+$90;
$1,600
Step-by-step explanation:
The equation,  , given to us tells us much about the situation described above.
, given to us tells us much about the situation described above.
y = total pay
x = number of copies of Math is fun
1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.
90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.
Therefore, our answers would be:
+$90, and $1,600
 
        
             
        
        
        
Answer:
10.9361
Step-by-step explanation:
The lower control limit for xbar chart is
xdoublebar-A2(Rbar)
We are given that A2=0.308.
xdoublebar=sumxbar/k
Rbar=sumR/k
xbar      R
5.8        0.42
6.1         0.38
16.02    0.08
15.95    0.15
16.12     0.42
6.18      0.23
5.87     0.36
16.2      0.4
Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8
Xdoublebar=88.24/8
Xdoublebar=11.03
Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8
Rbar=2.44/8
Rbar=0.305
The lower control limit for the x-bar chart is
LCL=xdoublebar-A2(Rbar)
LCL=11.03-0.308*0.305
LCL=11.03-0.0939
LCL=10.9361
 
        
             
        
        
        
Let's take the percentage as x
(x / 100) * 5 = 0.35
x / 100 = 0.07
x = 7
therefore the percentage is 7%
        
             
        
        
        
A) K=1/2C-3
K+C=18
Hope this helps! Have a great day :)