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
maks197457 [2]
3 years ago
9

How many diagonals can be constructed from one vertex of an n-gon? State your answer in terms of n and, of course, justify your

answer.
IM REPOSTING THIS QUESTION, BUT THIS TIME FOR 15 POINTS!!!!!!!!!!!!!!
PLEASE HELP :)
Mathematics
1 answer:
natulia [17]3 years ago
6 0

Answer:

The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}

Step-by-step explanation:

A diagonal is defined in geometry as a line connecting to two non adjacent  vertices.

Therefore, the minimum number of sides a polygon must have in order to have a diagonal n - 3 sides as the 3 comes from the originating vertex and the other two adjacent vertices

Given that the polygon has n sides, the number of diagonals that can be drawn from each of those n sides gives the total number of diagonals as follows;

Total possible diagonals = n × (n - 3)

However, half of the diagonals drawn within the polygon are the same diagonals drawn in reverse. Therefore, the total number of distinct diagonals that can be drawn in a polygon is given as follows;

The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}

You might be interested in
A bar graph is used to represent numerical data.<br><br> true or false
igor_vitrenko [27]
A bar graph is used to represent numerical data.true or false correct answer:true
7 0
3 years ago
Read 2 more answers
Evaluate each expression |18|
igor_vitrenko [27]
That equals 18 since the distance from zero is 18.


Hope i'm the brainliest!
4 0
3 years ago
What is the surface area of this prism?
ehidna [41]
Depend on what the prism looks like/ the measurements
4 0
4 years ago
Apply the distributive property to create an equivalent expression.
Amanda [17]

The distributive property: a(b + c) = ab + ac


(-7c + 8d)0.6 = (-7c)(0.6) + (8d)(0.6) = -4.2c + 4.8d

7 0
3 years ago
Read 2 more answers
Christina biked 36 miles 6 in hours if she biked at the constant speed how many miles did she ride in 1 hour
Nesterboy [21]

find unit rate:

36 / 6 = 6

she can ride 6 miles in 1 hour

5 0
3 years ago
Read 2 more answers
Other questions:
  • Compare the solutions of an equation and an inequality. What are the differences and the similarities? Please help!
    12·1 answer
  • A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional min
    13·1 answer
  • Which best explains how the division equation relates to the diagram? 16 7/8 divided by 1 7/8
    5·1 answer
  • (1-cos0)(1+cos0) pls help​
    12·1 answer
  • Blake drew square ABCD. Then, he drew the image of it, square A ' B ' C ' D', 2 centimeters to the right of the original figure.
    12·2 answers
  • Name an excluded value
    14·1 answer
  • Jonas and four friends go to the fair. Each person buys a fair ticket for $9, a snack for $6, and a drink for $4. Determine the
    14·2 answers
  • Howard recorded how much rain fell at his house over four months. The table below shows the amount of rain that fell at Howard's
    15·2 answers
  • 2. (MCC 6.5) Find the value of x. 77° (6x17)°​
    5·1 answer
  • I believe that it’s c, but I’m <br> not certain… Can someone help me out?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!