Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
 
        
             
        
        
        
Answer:
The number is 7 
Step-by-step explanation:
let the said number be x
Nineteeen less than 6 times a number;
6x - 19
equals; 16 more than the number; this is 16 + x
Thus;
6x - 19 = 16 + x 
6x-x = 16 + 19
5x = 35
x = 35/5
x = 7 
 
        
             
        
        
        
Answer:
a. Identify the population of interest in this study. 
- all the population of the country
b. Identify the sample for the study. 
- 50 adults (the ones that were surveyed)
c. Identify the parameter of interest in the study. 
- the parameter of interest is the people that believe that coffee shops are overpriced
d. Find and interpret a 95% confidence interval for the parameter of interest.
z score for a 95% confidence level = 1.96
margin of error (E) = z score x √{[0.4(1 - 0.4)] / 50} = 1.96 x 0.069282 = 0.13579
95% confidence level interval: 
0.4 - 0.13579 = 0.26421 
0.4 + 0.13579 = 0.53579 
- 95% confidence interval (0.26421 , 0.53579)
 
        
             
        
        
        
The next term in the sequence is double the previous term . so it would be the 3rd option (48,96,192)
        
                    
             
        
        
        
Answer: 25594.018691648 yards per hour
3112÷214=14.5420560748
14.5420560748×1760=25594.018691648
Step-by-step explanation: