Answer:72.70
Step-by-step explanation:  long story short math
 
        
             
        
        
        
Answer:
Vertical angles are always congruent.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.
Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles: 
<a and <b,
<c and <d.
Thus, <a is congruent to <b, and <c is congruent to <d.
Therefore, the standby that is true about vertical angles is that:
Vertical angles are always congruent.
 
        
             
        
        
        
Answer:
x=7 x=-7
Step-by-step explanation:
Solution is attached.
 
        
             
        
        
        
Answer: 0.50477
Step-by-step explanation:
Given : The sugar content of the syrup is canned peaches is normally distributed. 
We assume the can is designed to have standard deviation  milligrams.
 milligrams. 
The sampling distribution of the sample variance is chi-square distribution.
Also,The data yields a sample standard deviation of  milligrams.
 milligrams.
Sample size : n= 10
Test statistic for chi-square :
i.e. 
Now, P-value =  [By using the chi-square distribution table for p-values.]
  [By using the chi-square distribution table for p-values.]
Hence, the chance of observing the sample standard deviation greater than 4.8 milligrams = 0.50477
 
        
             
        
        
        
Answer:
5+5root3
Step-by-step explanation: