Answer:
X = 102
Step-by-step explanation:
41 + 37 + x = 180
78 + x = 180
X = 180 - 78 = 102
 
        
             
        
        
        
Answer:
cos -60° =  ,
 , 
cos 660° =  
Step-by-step explanation:
hope it helps
 
        
             
        
        
        
The logarithm written as a sum of logarithm and simplified as much as possible is 
<h3>Simplifying Logarithms</h3>
From the question, we are to write the given logarithm expression as a sum or difference of logarithms
The given logarithm is 

This can be written as 

From one of the rules of logarithm, we have that 

Thus, 
 becomes
  becomes

This can be further simplified into


If desired, this can be further simplified into




Hence, the logarithm written as a sum of logarithm and simplified as much as possible is 
Learn more on Simplifying logarithms here: brainly.com/question/17851187
#SPJ1
 
        
             
        
        
        
The normal vector to the plane <em>x</em> + 3<em>y</em> + <em>z</em> = 5 is <em>n</em> = (1, 3, 1). The line we want is parallel to this normal vector.
Scale this normal vector by any real number <em>t</em> to get the equation of the line through the point (1, 3, 1) and the origin, then translate it by the vector (1, 0, 6) to get the equation of the line we want:
(1, 0, 6) + (1, 3, 1)<em>t</em> = (1 + <em>t</em>, 3<em>t</em>, 6 + <em>t</em>)
This is the vector equation; getting the parametric form is just a matter of delineating
<em>x</em>(<em>t</em>) = 1 + <em>t</em>
<em>y</em>(<em>t</em>) = 3<em>t</em>
<em>z</em>(<em>t</em>) = 6 + <em>t</em>
 
        
             
        
        
        
27 because the square root of 81 is 9 and 9 times 3 is 27.