Let x be the unknown angle.
We know that x+50=120 because the value of an exterior angle of a triangle is equal to the sum of the other 2 interior angles.
x+50 = 120
Subtract both sides by 50
x = 70
The value of the unknown angle is 70 degrees.
Have an awesome day! :)
        
                    
             
        
        
        
Ok so on the first draw, 6/24 marbles are likely to be blue so there is 1/4 chance of obtaining blue originally. But, she puts it back and again it's 1/4 of obtaining the blue again. So 1/4 X1/4 = 1/16.
        
                    
             
        
        
        
A quotient is the result of a division.
Let the unknown number be x.
We translate the problem into an equation, piece by piece.
<span>"quotient of a number and seven"  ---->   x/7
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<span>"12 less than the quotient of a number and seven"  ---->    x/7 - 12
The word "is" means "="
x/7 - 12 = 
All the above is -2, so it equals -2.
x/7 - 12 = -2

First, add 12 to both sides and simplify.
</span><span>

</span>
<span><span><span>

</span>
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Next, multiply both sides by 7.


</span>
Answer: The number is 70.
 
        
        
        
Answer:
Explanation:
The expression that must be rewritten as a fully simplified fraction is:
You must, first, convert      as a fraction.
    as a fraction.
The line over the decimal 4 means that the digit 4 repeats indefinetly.
To find the fraction that represents this number you follow this procedure:

Now, you can mutiply both fractions:

 
        
             
        
        
        
Answer:
92 dB
Step-by-step explanation:
Use the mean formula, mean = sum of elements / number of elements.
Since it is a 8 hour work day, there are 8 elements.
mean = sum of elements / number of elements
mean = (98 + 98 + 98 + 98 + 98 + 82 + 82 + 82) / 8
mean = 736 / 8
mean = 92
So, the average noise level is 92 dB