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
asambeis [7]
3 years ago
12

What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

i. 9

ii. 14

iii. 405

iv. \frac{n(n-3)}{2}

Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

\frac{n(n-3)}{2}

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals = \frac{6(6-3)}{2}

                                   = \frac{18}{2}

                                   = 9

The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals = \frac{7(7-3)}{2}

                                   = \frac{28}{2}

                                   = 14

The number of diagonals in a heptagon is 14.

iii. For a 30-gon;

number of diagonals = \frac{30(30-3)}{2}

                                          = \frac{810}{2}

                                         = 405

The number of diagonals in a 30-gon is 405.

iv. For a n-gon,

number of diagonals = \frac{n(n-3)}{2}

The number of diagonals in a n-gon is \frac{n(n-3)}{2}

You might be interested in
Need help with this
Eva8 [605]

Answer:

the answer is #4

Step-by-step explanation:

<h3>first you multiply the 3&4 witch is 12 then u keep the y and u add the 2&5 then u see that it is #4</h3>
4 0
3 years ago
Graph the following lines and using the graph determine several values of x for which the graph is positive (negative): y=−4x+3
True [87]

Answer:


Step-by-step explanation:

Given line is,

y=-4x+3

when, x=-1 , y=-4(-1)+3=4+3=7

when, x=0 , y=-4(0)+3=0+3=3

when, x=1 , y=-4(1)+3=-4+3=-1

So, we got the points  (-1,7) , (0,3) , (1,-1)

Now, putting the points in the graph and adding them , we will get the graph of given line.

Please check image for the graph.


Now for the second part-

The graph is positive means- it will be above the x-axis, that is y value will be positive.

From the graph we can see that, if x<0 , then y is positive.

So, any value of x which is less than 0 , will give the positive graph here.

6 0
3 years ago
Which numbers below are part of the domain for this graph? Select all that apply.
olya-2409 [2.1K]

The numbers which are a part of the domain for the graph are: 6, 1 and 2.

<h3>Which numbers are part of the domain?</h3>

The domain of a graph is a set of all possible input, x-values. Consequently, since the domain of the graph given ranges over intergers, 1 to 10, it follows that numbers which are part of the domain are; 6, 2, and 1.

Read more on domain;

brainly.com/question/26098895

#SPJ1

6 0
2 years ago
Convert 300g to kg
quester [9]

Answer:

0.3

Step-by-step explanation:

4 0
3 years ago
A new truck cost $32,000. The truck's value
Kisachek [45]

Answer: $17,600

Step-by-step explanation:

find the value of 9% of 32,000 (Divide). Multiply that by 100. multiply by 5. Subtract the product by 32,000

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is 50 divided by 48 in all kinds of forms
    12·1 answer
  • The table below shows four systems of equations:
    10·1 answer
  • After 1 year, a bank account contains $7,746.90. After 2 years, the same account contains $7,901.84. Assuming no deposits or wit
    8·2 answers
  • What is the value of the expression below? (4/5 + 3/5) + 3.5 × 5​
    5·2 answers
  • What is taxes? What is Texas' tax rate?
    15·1 answer
  • Is c2−6c+9 a perfect square?
    11·1 answer
  • Is 23 + 64 positive or negative?​
    8·2 answers
  • The measure of the exterior angle of the triangle is ___
    8·2 answers
  • Please help ASAP and if you don't see the picture tell me.
    5·2 answers
  • What is the domain and range
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!