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
saul85 [17]
3 years ago
9

A line segment can be drawn from each vertex of a polygon to every other vertex, forming the sides and

Mathematics
1 answer:
Elan Coil [88]3 years ago
7 0

Answer:

n(n - 3)/2

Step-by-step explanation:

We are told that;

A square has 4 sides and 2 diagonals.

Now, a pentagon will have 5 sides and 5 diagonals

A hexagonal when drawn will have 6 sides and 9 diagonals

Thus, we see that;

When n = 4, d = 2

When n = 5, d = 5

When n = 6, d = 9

Using combination, we will find number of pairs of 2 vertices that can possibly be formed from n-vertices. Thereafter we will subtract n from that since it's neighboring vertices can't combine with the current one.

Thus, we have;

C(n, 2) - n

This gives s;

(n(n-1)/2) - n

Simplifying this gives;

(n(n - 1) - 2n)/2

>> (n² - n - 2n)/2

>> (n² - 3n)/2

>> n(n - 3)/2

You might be interested in
Select all triangles whose side lengths prove they are right triangles. You must select all that apply.
Bogdan [553]
It is D.

Reason. 3^2 is 9, 4^2 is 16.
16+9= 25
The square root of 25 is 5.
Therefore it is D.
6 0
2 years ago
Read 2 more answers
Find the scale factor,and find the unknown side lengths.<br> Help if you can please
Burka [1]

Step-by-step explanation:

Solution,

since two of these triangle are similar so,

i) LK/LJ=MN/NO

or,j/8=18/12

or,j=18×8/12

.°. j = 12m

ii)JK/JL=MO/NO

or,10/8=n/12

or,120/8=n

.°.n=15m

5 0
3 years ago
The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
3 years ago
-4x+y= 6 <br>-5x-y=21 what is the answer​
bekas [8.4K]

Answer:

x=15

Step-by-step explanation:

21-6=15

-4x+y=-5x-y=15

x+y=-y=15

x=15

6 0
3 years ago
Can someone please help me
Vikki [24]
$16(4 shirts)= $64
5%=$64(0.05)=$3.20
Jamal's total is $67.20
4 0
3 years ago
Other questions:
  • Write 2 3/5 as an improper fraction
    5·2 answers
  • (Help ASAP)(Will Mark Brainliest+5 Star rating+Thanks)
    14·1 answer
  • HELP PLEASEE !!!!! Using the digits 0 to 9, at most one time each, fill in the boxes to create a square, with one of the vertice
    7·1 answer
  • jimmy bought an X-BOX ONE for 700$. The value of the gaming console decreases 12% each year. About how long will it take for the
    7·2 answers
  • A pharmacist receives a shipment of 1717 bottles of a drug and has 44 of the bottles tested. If 44 of the 1717 bottles are conta
    6·1 answer
  • This alfebra problem
    6·1 answer
  • PLZ HELP!<br> find the value of f(-2) for the function f(x)=4x+10<br> Show work please
    8·1 answer
  • Help me please again lol
    11·1 answer
  • What fraction of the game spinner is red? right to equivalent fractions.
    15·2 answers
  • Select the graph of the quadratic function g(x) = 2x2. Identify the domain and range
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!