see if this helps
definitions
congruent
    1.in agreement or harmony
"institutional and departmental objectives are largely congruent"
    2. identical in form; coinciding exactly when superimposed.
 
        
             
        
        
        

 is more than 

, because: 

=

6>5
So, the correct sign for this is 
>.
Have a great day! ♪
 
        
             
        
        
        
Answer: Mike's arm span is 7.165 cm longer than the George's one.
Step-by-step explanation:
We have that the association between height and arm span is modeled by the equation
y = 4.5 + 0.977*x
where y is height and x is arm span.
Mike is 172 cm tall, so his arm span is:
172cm = 4.5 + 0.977*x
x = (172 - 4.5)/0.977 = 171.443 cm
and George is 165 cm tall, so his arm span is:
x = (165 - 4.5)/0.977 = 164.278 cm
Then the difference between their arm span is:
171.443cm - 164.278cm = 7.165 cm
So Mike's arm span is 7.165 cm longer than the George's one.
 
        
             
        
        
        
Answer:
A. $707. 88
B. $12,033.96
Step-by-step explanation:
A. 58.99 × 12 = 707.88
B. 707.88 × 17 = 12,033.96
Hope this helps!
 
        
             
        
        
        
<h3>
Answer: Choice H)  2</h3>
=============================================
Explanation:
Recall that the pythagorean trig identity is 
If we were to isolate sine, then,

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.
Through similar calculations, 
 
Cosine is also positive in this quadrant.
-------------
So,

Therefore,

is an identity as long as 0 < x < pi/2