The answer is 12 because (a^2 + b^2 = c^2)  
5^2 + b^2 = 13^2  
 25  + b^2 = 169                                                                          
169- 25 = 144     

  Sqaure root of 144 is 12 so If we plug that in..
 25 + 144 = 169 
5^2 + 12^2 =13^2 
This all checks out 
~Hope This helps
 
        
        
        
The median of your data set will be 25.5
        
                    
             
        
        
        
A. square root property

it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format
B. factorising

i just felt like this was easier to factorise than the other 2 options left
C. Completing the square

same reason personal preference 
D- Quadratic 

the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal
 
        
             
        
        
        
Answer:
The construction is a parallel line to a given line  from a point not on the line.
Step-by-step explanation:
For a given figure,
To construct a parallel line 
Step 1 : Draw transversal line through any point not on line which is given.
Step 2: Using construction copy an angle, construct same angle formed by transversal line and given line.
Step 3: This is the last step in which when the copy of an angle completed draw a line parallel to the line. 
 
        
                    
             
        
        
        
Answer:
the  mean and standard error of the mean are 200 and 2 respectively.
Step-by-step explanation:
Given that ;
the sample size n = 81
population mean μ = 200
standard deviation of the infinite population σ = 18
A population  is the whole set of values, or individuals you are interested in, from an experimental study.
The value of population characteristics such as the  Population mean (μ), standard deviation (σ) are said to be known as the population distribution. 
From the given information above;
The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.
i.e 
 = 200
 = 200
∴ The mean = 200
 and the standard error of the mean can be determined via the relation:




Therefore ; the  mean and standard error of the mean are 200 and 2 respectively.