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son4ous [18]
3 years ago
8

Which function is equivalent to y= -cot(x)

Mathematics
1 answer:
jeka943 years ago
5 0

So, Cot is negative in second and fourth quadrant.

So, tan(x+\frac{\pi}{2})=-cot(x)

Option B

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What is the median of the data below?<br><br> 45, 19, 23, 67, 28, 35, 46, 21, 58, 60, 23, 51
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To find the median, you will need to list the data from least to greatest and find the middle number.

19, 21, 23, 23, 28, 35, 45, 46, 51, 58, 60, 67

Cross out a number on both sides until you reach the middle number. In this case, we are left with 2 numbers that are in the middle since there is an even amount of numbers. 

When you reach the time where you have two middle numbers, we have to find the average of those two numbers. Our two middle numbers are 35 and 45. Since we have to find the average of those two numbers, we can add them. (35 + 45 = 80). Now, since we have two middle numbers, we have to divide them by 2. 
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Which equation best presents the relationship between x and y in the graph?
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dlinn [17]

The correct answers are:

_________________

 " (x − 13) ° = 53 ° " ;

_________________

 " x = 66 " ;

_________________

 " m∠2 = 55° " ;

_________________

 " m∠1 = 55° " .

__________________

<u>Step-by-step explanation</u>:

Note:  The following "given values/answers" within the attached image:

Specifically:

 (x − 13)° = 72° ; and;

  x = 85° ;

_________________

   are: "incorrect"—and are "arbitrarily assigned values"

_________________

The values and expressions given in the attached image, however, are correct/do make sense; and we can use such data to solve the problem.

_________________

Let's start by finding the measure of ∠2 ;  that is: " m∠2 " :

To find m∠2:

_________________

Note that:  both: "∠2 " ; and the angle that measures "175" with the attached image:

            → both form a <u>straight line</u>—that is;

              → they are "supplementary angles" ;

              → which means they add up to "180° " ;

_________________

So:  To solve for:  "m∠2" :

_________________

→  m∠2 = 180 − (125) = 55° ,

_________________

Now; to solve for:  " m∠1 " :

_________________

Note that ∠1 and ∠2 are vertical angles: which means that they have equal measurements;  

{since: vertical angles are congruent; which means that vertical angles are equal.} ;

_________________

→  As such, m∠1 = m∠2 = 55 °.

_________________

Now, take either ∠1 or ∠2 ; (each has the same "measurement"—"55° " ;

 And combine with angle with the given measurement of 72° ;

 And combine with the angle with the "given measurement of [the expression: ["x − 13"]° ;

_________________

All three of these angles form a <u>straight line</u>—that is;

              → they are "supplementary angles" ;

              → which means they add up to "180° " ;

So, 55° + 72° + (x − 13)° = 180° ;

 Let us solve for "x" ; and for "(x − 13)" ;

_________________

55 + 72 = 127 ;

→ 127 + (x − 13) = 180 ;

Now, subtract "127" from each side of the equation:

_________________

 → 127 + (x − 13) − 127 = 180 − 127 ;

   to get:

          " (x − 13) = 53 " ; →  which is one of our answers;

 Now, to solve for "x" ; we add "13" to Each Side of the equation;

   to isolate "x" on one side of the equation; & to solve for "x" :

_________________

      x − 13 + 13 = 53 + 13 ;

to get:

_________________

      x  = 66 ;

_________________

So:  The correct answers are:

_________________

 " (x − 13) ° = 53 ° " ;

  → Double check by substituting our value of "66" for "x" :

 " (66 − 13) =? 53 ?  Yes!  ;

_________________

 " x = 66 " ;

_________________

 " m∠2 = 55° " ;

_________________

 " m∠1 = 55° " .

_________________

Hope these answers—and explanations—are helpful!

  Best wishes!

_________________

3 0
3 years ago
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