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
KATRIN_1 [288]
3 years ago
9

Please help me with #7

Mathematics
1 answer:
Dominik [7]3 years ago
8 0

Step-by-step answer:

This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.

To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.

This is:

sum of exterior angles of polygons = 360 degrees.

If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360!  It works!

For a regular heptagon, c = 360/7=51.43 degrees approx.

This means that each vertex angle measures

vertex angle = 180-c

So since 2d+the vertex angle = 360, we have

2d+(180-c)=360

solve for d:

2d=360-(180-c)=180+c

d=(180+c)/2=90+c/2=115.71 degrees. (approx.)

You might be interested in
The volume of a rectangular prism is 2,100 cm cubed , with length 25 cm and width 12 cm. What is the height, in cm?
BabaBlast [244]
This is easy the answer is 7
5 0
3 years ago
Find the area of each figure, round to the nearest tenth if necessary.USE 3.14 for pi
Nina [5.8K]

Answer:

11 is 405, 12 is 107.5, 13 im not sure of

Step-by-step explanation:

First on 11 you can just do 21*21 (the big square) and subtract that by 36 (which is 6*6, the small square), you'll get 107.5.

Then on 12, it is made up of a large rectangle, a small triangle, and a flatter triangle. The top triangle's formula is 1/2(7*3) which = 10.5. The big rectangle is 13*7 = 91. The last triangle is 1/2(4*3) which = 6. It is 3 because 13-10. Add all those up and you should get 107.5.

And I just want to know on number 13 if that 11 is the radius or diameter. I can't seem to tell.

7 0
3 years ago
Read 2 more answers
Calculate the Zscore of $80
gayaneshka [121]
The Z-score (z) is calculated according to the formula: z = (x - μ) / σ

Where: x is the raw score value, μ is the mean of the population, σ is the standard deviation of the population.

x = 80, μ = 5, σ = 4

z = (80 - 5) / 4

z = 75 / 4 = 18.7500

Z-score is 18.7500


3 0
3 years ago
PLEASE HELP ME I WILL GIVE BRAINIEST IM STUDYING HELP A PERSON OUT NO SCAMMSSS&gt;S&gt;&gt;S
ASHA 777 [7]

Answer:

White

Step-by-step explanation:

20 divided by 4 = 5

White was spun 5 times.

7 0
3 years ago
I need help answering these problems
vfiekz [6]
4). x/5 =8
     x = 40
5). 2x/3 = 12
     2x = 36
      x = 36/2 = 18
6). x + 26 =12
      x = 12 - 26 = -14
7).  8x + 1 = -23
      8x = -23 -1
      8x = -24
        x = -24/8 = -3
8). 2x + 5 =15
     2x = 15 - 5
     2x = 10
       x = 10/2 = 5
9). 3x - 1 = -29
     3x = -29 + 1
     3x = -28
       x = -28/3 Or 9.33
10). 8x - 12 = 53
       8x = 53 + 12
       8x = 65
        x = 65/8 Or 8.12
11). 4x + 7 = 25
       4x = 25 - 7
       4x = 18
        x =18/4 = 9/2 Or 4.5
       
4 0
3 years ago
Other questions:
  • Identify the solution set of 6 ln e = eln 2x {2} {3} {6}
    8·2 answers
  • What is the number of ways to arrange 6 objects from a set of 10 different objects
    13·2 answers
  • What is the sum of 9c+(8+3c)?
    11·1 answer
  • 2*2+100/2*4/2/2*4/2*5 = ?
    5·2 answers
  • In angle abc ,m angle A = 17 and m angle B = 100 what is the measure of angle C
    10·1 answer
  • Find thetwo consecutive integers whose product is 24​
    9·1 answer
  • Simply the expression: 3^-8 X 3^4
    14·1 answer
  • Help. everything is in the picture.
    9·2 answers
  • I need he,p i have to finish this by 12:30!!
    12·2 answers
  • Plz help multiply and divide one step​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!