Answer:
   (a)  The two triangles are similar by AA
Step-by-step explanation:
Similar triangles have congruent corresponding angles and proportional corresponding side lengths.
<h3>Third angle</h3>
The third angle in triangle ABC is found using the fact that the sum of angles is 180°.
   ∠C = 180° -∠A -∠B
   ∠C = 180° -97° -46° = 37°
Two of the angles, A and C, match the measures of two of the angles in triangle DEF. The matches are ...
   ∠A = ∠D = 97°
   ∠C = ∠F = 37°
The two triangles are similar by AA.
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<em>Additional comment</em>
The similarity statement can be ΔABC ~ ΔDEF.
 
        
             
        
        
        
Answer:
The car was travelling at a speed of 60 miles per hour.
Step-by-step explanation:
Given:
Distance traveled = 330 miles
Time Period = 
we need to find the speed of the car .
Solution:
Time Period = 
Now we can say that;

So Time period = 
Now we know that;
Distance traveled  is equal to Speed
 is equal to Speed  multiplied by Time Period
 multiplied by Time Period  .
.
framing in equation form we get;
 
Dividing both side by 5.5 we get;

Hence The car was travelling at a speed of 60 miles per hour.
 
        
             
        
        
        
Answer:
2/3 
Step-by-step explanation:
so the inverse takes us from the range to the domain... they tell us that  f(4) goes to 5.. so if we were to take the inverse  f (5)  it takes us back to 4... and the slope at 4 or the derivative was 2/3 so that's what we get for f
(5)  it takes us back to 4... and the slope at 4 or the derivative was 2/3 so that's what we get for f '(5)  :)
 '(5)  :)
 
        
             
        
        
        
Answer: x=19
Step-by-step explanation:
x=31-12
x=19
 
        
             
        
        
        
Answer:x=60
Step-by-step explanation:
110x+2400=100x+3000
-100x. -2400
10x= 600
X=60