Answer:
83 degrees
Step-by-step explanation:
Supplementary angles are two angles whose sums add up to 180 degrees. Since you have one angle that is 97 degrees and one that is unknown, you can just subtract 97 from 180.
180 - 97 = 83 degrees
 
        
             
        
        
        
Answer:
16x^4+32x^3+24x^2+8x+1
Step-by-step explanation:
(2x+1)^4
(2x+1)*(2x+1)*(2x+1)*(2x+1)
 
        
             
        
        
        
Answer:
30.06 degree Celsius at 4:00 PM.
Step-by-step explanation:
We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.
We will use Newton's law of cooling to solve our given problem.
 , where
, where
 = Temperature after t hours.
 = Temperature after t hours.
 = Temperature of surrounding environment,
 = Temperature of surrounding environment,
 = Time constant.
 = Time constant.

Upon substituting our given values in Newton's cooling law, we will get:


To find the temperature at 4:00 pm, we will substitute  in our formula as:
 in our formula as:






Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.
 
        
             
        
        
        
The answer is the third choice..
Statement: Angle 1 and angle 4 are congruent, and angle 3 and angle 5 are congruent.
Reason: Alternate Interior Angles Theorem
Hope this helps!