Answer:
28
Step-by-step explanation:
In paralellograms, the lengths of the parallel sides are equal to each other
As seen in the figure, the side that is parallel to the side that is represented with x has a length of 28 units, so the value of x is also equal to 28
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
A polynomial function is given by the form: 

Where a is the leading coefficient, and <em>p</em> and <em>q</em> are the roots (more can be added if necessary). 
Our zeros are 3 and (-2 + 2i). 
And our leading coefficient <em>a </em>= 1. 
Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.
So, by substitution, we acquire: 

Simplify: 

Expand the second and third factors: 

Therefore, our polynomial function of least degree and the given zeros will be: 

 
        
             
        
        
        
Answer:
The greatest number of arrangements that he can make if every balloon is used is 8.
Step-by-step explanation:
The greatest number of arrangements will be the greatest common factor between 24 and 32.
GCF of 24 and 32:
We keep factoring both numbers by prime factors, while they can both be divided by the same number. So
24 - 32|2
12 - 16|2
6 - 8|2
3 - 4
There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.
This means that the greatest number of arrangements that he can make if every balloon is used is 8.
 
        
             
        
        
        
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Answer:
86.82%
Step-by-step explanation:
A nautical mile = 6,174 feet. 
Statute mile =5,360 feet 
The percentage of a statute mile to a nautical mile is calculated as:
5360/6174 × 100
= 0.8681567865 × 100
= 86.81567865%
Approximately to the nearest hundredth = 86.82%
Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%