1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shalnov [3]
3 years ago
7

Directions: Fill in all blank spaces in the table. Show all work below the table or on a separate sheet of paper. If needed, rou

nd your answer to the nearest tenth.

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0

Answer:

# of sides {}  Interior               One Interior Angle  Exterior           One

           {}        Angle Sum                                          Angle Sum     Exterior Angle

14   {}              2,160°                 154.3°                            360°           25.714°    

24    {}            3,960°                165°                                360°            15°

8    {}               1,080                 135°                                360°            45°

30    {}            5,040                 168°                                360°            12°

12    {}             1,800                  150°                                360°            30°

Step-by-step explanation:

Please find attached the table of values calculated with Microsoft Excel

From the given table, we have the formula for the following parameters;

Number of sides = n

Interior Angle Sum = 180×(n - 2)

Measure of ONE Interior = 180×(n - 2)/n        

Angle (regular polygon)  

Exterior Angle Sum = 360°

Measure of ONE Exterior = 360°/n

Angle (regular polygon)

1) When n = 14, we have;

The interior Angle Sum = 180×(14 - 2) = 2,160°

The measure of one Interior angle (regular polygon) ;  180×(14 - 2)/14 ≈ 154.3°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/14 ≈ 25.714°

2) When n = 24, we have;

The interior Angle Sum = 180×(24 - 2) = 3,960°

The measure of one interior angle (regular polygon);  180×(24 - 2)/24 = 165°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/24 = 15°

3) When the interior angle sum = 180×(n - 2) = 1,080°, we have;

n = 1,080°/180° + 2 = 8

n = 8

The measure of one interior angle (regular polygon);  180×(8 - 2)/8 = 135°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/8 = 45°

4) When the interior angle sum = 180×(n - 2) = 5,040°

n = 5,040°/180° + 2 = 30

n = 30

The measure of one interior angle (regular polygon);  180×(30 - 2)/30 = 168°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/30 = 12°

5) When the measure of one interior angle (regular polygon), 180×(n - 2)/n = 150°, we have;

180°·n - 2×180° - 150°·n = 0

30°·n = 360°

n = 360°/30° = 12

n = 12

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/12 = 30°

You might be interested in
Please help I will mark brainlist if correct
love history [14]
--------------------------------------------------------------------------
Equation
-------------------------------------------------------------------------- 
 y - 9  = -  \dfrac{1}{2} (x + 2)

--------------------------------------------------------------------------  
Rearrange the equation
-------------------------------------------------------------------------- 
y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1  + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8

--------------------------------------------------------------------------  
slope of the perpendicular line
-------------------------------------------------------------------------- 
slope = 2

(*the slope of the perpendicular line is the <span>negative reciprocal of the slope of line)</span>

---------------------------------------------------------------------------  
Substitute slope into equation y = mx + c
--------------------------------------------------------------------------- 
y = 2x + c

---------------------------------------------------------------------------  
Find y-intercept
--------------------------------------------------------------------------- 
y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

----------------------------------------------------------------------------  
Substitute y-intercept into the equation y = 2x + c
-----------------------------------------------------------------------------  
y = 2x + 4

----------------------------------------------------------------------------  
Answer: y = 2x + 4
----------------------------------------------------------------------------- 

3 0
3 years ago
Choose the correct term that makes the sentence true. The (greatest) (or) (least) of the common factors of two or more numbers i
stiv31 [10]
the greatest is 10 and the least is one but I don't know for sure but I don't know if that what you looking for
5 0
3 years ago
Why was the harlem renaissance in harlem?
Whitepunk [10]

Answer:

The great migration drew to Harlem some of the greatest minds and brightest talents of the day. some 300, 000 African Americans from the South had moved North.

Step-by-step explanation:

If this is not useful look up Harlem Renaissance website for information

6 0
3 years ago
5) Linda picked a basket of apples. She gave half of the apples to a neighbor, then 10 apples to her mother, then half of the re
mihalych1998 [28]

Answer:

is it 8 apples to her mother or 10 since I had this exact problem?

Step-by-step explanation:

3 0
3 years ago
Find two unit vectos that are orthogonal to both [0,1,2] and [1,-2,3]
alekssr [168]

Answer:

Let the vectors be

a = [0, 1, 2] and

b = [1, -2, 3]

( 1 ) The cross product of a and b (a x b) is the vector that is perpendicular (orthogonal) to a and b.

Let the cross product be another vector c.

To find the cross product (c) of a and b, we have

\left[\begin{array}{ccc}i&j&k\\0&1&2\\1&-2&3\end{array}\right]

c = i(3 + 4) - j(0 - 2) + k(0 - 1)

c = 7i + 2j - k

c = [7, 2, -1]

( 2 ) Convert the orthogonal vector (c) to a unit vector using the formula:

c / | c |

Where | c | = √ (7)² + (2)² + (-1)²  = 3√6

Therefore, the unit vector is

\frac{[7,2,-1]}{3\sqrt{6} }

or

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

The other unit vector which is also orthogonal to a and b is calculated by multiplying the first unit vector by -1. The result is as follows:

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

In conclusion, the two unit vectors are;

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

and

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

<em>Hope this helps!</em>

7 0
3 years ago
Other questions:
  • : While preparing a large catering order for a fruit salad, Jackie buys 15 apples, 18 oranges and 21 mangoes. All of the fruit i
    11·1 answer
  • Find the length of segment DE.
    13·1 answer
  • The nth term of a sequence is 20 - n2
    9·1 answer
  • Umm whats y2 when y is -9 and whats z2 when z is 0.7 im not that smart so ill be asking alot
    6·1 answer
  • The cost of three tickets to a movie is at least $20. Select an inequality that represents the cost x (in dollars) of each ticke
    13·1 answer
  • What is the equation of the graph below?
    5·1 answer
  • Someone help me with this??
    8·1 answer
  • (HELP ASAP)Select the graph which best represents this scenario:
    6·1 answer
  • It cost Julie $2 for the materials to make a bracelet that she plans to sell. She sells each bracelet for $7. What is her percen
    5·2 answers
  • Which equation is represented by the table?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!