Answer:
Part 1) 
Part 2) 
Part 3) m∠K=61°
Part 4) m∠L=119°
Part 5) m∠M=61°
Step-by-step explanation:
we know that
In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary
Part 1) Find the side MN
we know that
MN≅KL ----> by opposite sides
we have

therefore

Part 2) Find the side KN
we know that
KN≅LM ----> by opposite sides
we have

therefore

Part 3) Find the measure of angle K
we know that
m∠K+m∠N=180° ----> by consecutive interior angles
we have
m∠N=119°
substitute
m∠K+119°=180°
m∠K=180°-119°
m∠K=61°
Part 4) Find the measure of angle L
we know that
m∠L≅m∠N ----> by opposite angles
we have
m∠N=119°
therefore
m∠L=119°
Part 5) Find the measure of angle M
we know that
m∠M≅m∠K ----> by opposite angles
we have
m∠K=61°
therefore
m∠M=61°
 
        
             
        
        
        
Answer:
13: 10
21: 20
29: 30
Step-by-step explanation:
 
        
             
        
        
        
Answer:
 
And if we solve for a we got
 
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Step-by-step explanation:
Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:
 
  
Where  and
 and  
For this part we want to find a value a, such that we satisfy this condition:
 (a)
   (a)
 (b)
   (b)
We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64
Using this value we can set up the following equation:
 
  
 
And we have:
 
And if we solve for a we got
 
The 95th percentile of the hip breadth of adult men is 16.2 inches.
 
        
             
        
        
        
Answer:83 -->17-->103-->43-->7-->1
Have a good day 
 
        
             
        
        
        
answer is 11/3. 
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