Three polygons have been divided
into triangles by drawing a
segment from one vertex to all nonadjacent vertices. If n is the
number of sides in the polygon, which expression shows the
number of triangles created by each polygon?
A.n
B.(n + 2)
C.(n - 2)
D.3n, 4n, 8n

Three Polygons Have Been Divided Into Triangles By Drawing Asegment From One Vertex To All Nonadjacent

Answers

Answer 1

The relationship between the sides of the polygon and the triangle follows an arithmetic sequence

The expression that represents the number of triangles is (c) n - 2

From the diagrams, we have:

Sides           Triangles

  5                    3

  6                    4

  8                    6

The above can be represented as functions as follows:

[tex]f(5) = 3[/tex]

[tex]f(6) = 4[/tex]

[tex]f(8) = 6[/tex]

Express 6 as 8 - 2

[tex]f(8) = 8 - 2[/tex]

Express 8 as n

[tex]f(n) = n - 2[/tex]

So, the expression that represents the number of triangles is (c) n - 2

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Related Questions

pls help anyone know dis

Answers

Answer:

1st one:5≥x>-infinity

2nd one :5<x<+infinity

3rd one :5>x>- infinity

how to fix my calculator please help meee i cuold not fix it plsss what to do​

Answers

so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.

Answer:

by a new one?????

Step-by-step explanation:

About how many years ago did Jesus live

A.10,000
B. 5,000
C. 2,000
D. 1,000

Answers

Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago

Anyone know how to work this problem? I need to find the domain and range

Answers

Answer:

Step-by-step explanation:

Domain : [-9,-3]

Range: [2,6]

Answer:

um I think it's the range is 30

MCQS:
Solve for X: X-3 = 27/64

A. 42
B. 43
C. 34
D. 14

Answers

Answer:

219/64

Step-by-step explanation:

x - 3 = 27/64

64(x - 3) = 27

64x - 192 = 27

64x = 27 + 192

64x = 219

x = 219/64

Answer:

[tex]x = 3.4218[/tex]

Step-by-step explanation:

[tex]x -3=\frac{27}{64}[/tex]

[tex]64(x-3)=27[/tex]

[tex]64x-192=27[/tex]

[tex]64x=27+192[/tex]

[tex]64x=219[/tex]

[tex]\frac{64x}{64} =\frac{219}{64}[/tex]

[tex]x = 3.4218[/tex]

Hope this helps you :-)

Let me know if you have any other questions :-)

4x+6<-6 how to solve

Answers

Answer:

The answer is below.

Step-by-step explanation:

4x<-6-6

4x<-12

x= -3

Inequality form:

x< -3

Interval Notion:

(-8,-3)

Note: Turn the -8 on the sideways on the right, because its not 8.

Answer: x < -3

Step-by-step explanation: 4x+6=-6

                                                   -6  -6

                                                     4x/4      -12/4

                                                            x<-3

Multiply and write in standard form:
(2x + 1)(5x - 2)
Show all work for full credit.

Answers

Answer:

10x^2+x-2

Step-by-step explanation:

(2x+1)(5x-2)

10x^2+5x-4x-2

10x^2+x-2

A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...

Answers

Answer:

C

Step-by-step explanation:

[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]

Answer: Choice A)   -3, 11, -45, 179, ...

=====================================================

Explanation:

1st term = -3

new term = -4*(previous term) - 1

2nd term = -4*(1st term) - 1

2nd term = -4*(-3) - 1

2nd term = 12 - 1

2nd term = 11

The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.

When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.

On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.

what is the answer to this question?

posted a picture for better understanding:)

Answers

Answer:

5

Step-by-step explanation:

Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.

From the question,

[tex]a_{n} = a_{n-1} - 5[/tex]

if n = 2 ;  

[tex]a_{2} = a_{1} - 5[/tex]

[tex]a_{2} = 20 - 5 = 15\\[/tex]

Thus, we got [tex]a_{2} = 20[/tex].

if n = 3 ;  

[tex]a_{3} = a_{2} - 5[/tex]

[tex]a_{3} = 15 - 5 = 10[/tex]

Thus, we got [tex]a_{3} = 10[/tex].

if n = 4 ;  

[tex]a_{4} = a_{3} - 5[/tex]

[tex]a_{4} = 10 - 5 = 5[/tex]

Thus, we got [tex]a_{4} = 5[/tex].

***There are many ways to solve this question

example:

[tex]a_{n} = a_{n-1} - 5[/tex]

[tex]a_{n} - a_{n-1} = - 5[/tex]

Substitute n with 2, 3, 4

Then, we will get 3 equations.

Sum them up;

We will get

[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]

Solve x2 + 8x – 3 = 0 using the completing-the-square method.
A.x = 4+ 13
B.X= 4+13
C.x= 4+19
D.X=4 + √19

Answers

[tex]x = -4 \pm \sqrt{19}[/tex]

Step-by-step explanation:

Let us put 3 on the right side and rewrite the equation as

[tex]x^2 + 8x = 3[/tex]

By putting 16 on both sides, our equation becomes

[tex]x^2 + 8x + 16 = 3 + 16 = 19[/tex]

[tex]\Rightarrow (x + 4)^2 = 19[/tex]

Taking the square root of the equation, we get

[tex]x + 4 = \pm \sqrt{19}[/tex]

Finally, solving for x,

[tex]x = -4 \pm \sqrt{19}[/tex]

An undersea explorer descends from the surface at a rate of 36 feet per minute.

What is the position of the undersea explorer relative to the surface after descending for 4 minutes?

Enter your answer in the box.

Answers

Answer:

-144 feet from the surface in 4 minutes

Step-by-step explanation:

-36 x 4

With the same rate, the position of the undersea after 4 minutes will be -144.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

Rate of descends = 36 feet per minute

After 4 minutes,

36 x 4 = 144

Since it is descending so it can be said to be -144.

Hence "After 4 minutes at the same rate, the position of the undersea will be -144".

To learn more about the rate of change here,

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Marcus has hired 3 people to help him with his lawn business. He pays all the same, and he pays them every day. He paid $360 to his 3 workers today. How much did each worker get. In complete sentence

Answers

Hi!

If they each got the same, then they each got 1/3 of the total $360. Therefore, we can divide 360 by 3. We can do this by dividing 36 by 3, 36/3, and that's 12. Then add the 0! 120.

Your sentence could be: "The amount of money each worker got can be represented by 360/3, which is $120."

Hope this helps! :D

Answer: Since Marcus hired 3 people and paid them $360 altogether, it should be easy to figure this out through dividing. 360/3 or 360 divided by 3 = 120. You can put three into 360 one-hundred and twenty times. So, your answer would be that each worker got $120.

Which equation is correct and shows that 42 is 7 times the size of 6?

42 × 2 = 7
42 × 6 = 7
42 ÷ 2 = 7
42 ÷ 6 = 7

Answers

42 divided by 6 = 7

I hope this helps
It’s 42 divided by 6 = 7

It costs a man 75 dollars to buy the things that he needs to make hot dogs. The city allows him to sell his hot dog somewhere near the city hall. However, the city hall charges him 1 dollar for each hot dog sold


Calculate how many hotdogs he will have to sell in order to make a profit if the price he charges for 1 hot dog is $1.50.

Answers

Answer
x = 150
Explanation
Based on the given conditions, formulate:
Rearrange unknown terms to the left side of the equation:
Combine like terms:
Divide both sides of the equation by the coefficient of variable:
Remove the parentheses:
Calculate the product or quotient:
Answer: x = 150

Compare the linear equation 2x-y=4 to the function graphed below.

Answers

Answer:

The answer is be the intercept

A 2-gallon bottle of fabric softener costs $16.64. What is the price per cup?

Answers

Answer:

each cup would cost $0.52

Step-by-step explanation:

there are 16 cups in 1 gallon so you multiply that by two. Then you have 32 so you divide 16.64 by 32 and you end up with 0.52.   hope this helped :))

Tell me I got this wrong

3x+4y+6z=15
Solve for x.​

Answers

Answer:

[tex]x = 5 - \frac{4}{3} y - 2z [/tex]

Step-by-step explanation:

Question:-To solve for x

Equation:-3x + 4y + 6z = 15

Solution:-

=> 3x + 4y + 6z = 15

[On subtracting both sides with 4y]

=> 3x + 4y + 6z - 4y = 15 - 4y

[On Simplification]

=> 3x + 6z = 15 - 4y

[On subtracting both sides with 6z]

=> 3x + 6z - 6z = 15 - 4y - 6z

[On Simplification]

=> 3x = 15 - 4y - 6z

[On dividing both sides with 3]

[tex] = > \frac{3x}{3} = \frac{15 - 4y - 6z}{3} [/tex]

[On Simplification]

[tex] = > x = 5 - \frac{4}{3} y - 2z \: (ans)[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{QUESTIONS:}[/tex]

3x+4y+6z=15 Solve for x.

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{ANSWER:}[/tex]

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\huge\bold\orange{SOLUTION:}[/tex]

[tex]3 \orange{+ 4y + 6z = 15}[/tex]

Move the variables to the right-hand side and change their signs.

[tex]3x = 15 \orange{ - 4 - 6z}[/tex]

Divide both sides of the equation by 3

[tex]\orange{3x = 15 - 4 - 6z}[/tex]

[tex]↓[/tex]

[tex]\orange{x = 5 - \frac{4}{3} y - 2z}[/tex]

The x-intercepts of 3x+4y+6z=15 is

[tex]x = 5 - \frac{4}{3} y - 2z[/tex]

[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#CarryOnlearning

A dog runs 100 meters in 4 seconds. A lion runs 250 meters in 10 seconds.
What is the difference in their speeds?

Answers

Answer:

C their speeds are equal

Answer: C) Their speeds are equal

Step-by-step explanation:

Use the speed-distance equation

Dog - s=d/t = 100/4 = 25m/s

Lion - s=d/t = 250/4 = 25m/s

What is 5,783 divided by 6 ?​

Answers

I would suggest to do future long division by learning the steps with an acronym. For me, I use DMSB, which stands for Divide, Multiply, Subtract, Bring Down. An example is attached below.To solve this particular equation, you would get 963.33333... which would round to 963.3I hope this helps!

963.3

A bottle rocket takes off with a speed of 13 m/s and is angled 55 degrees above the horizon. What is the Y component of the velocity ?

Answers

Step-by-step explanation:

Let the speed of bottle rocket be u and angle with horizon be A.

Then,

u= 13m/s

A= 55°

Now,

we know that,

x- component,

X= 13 cosA

Y-component,

Y = 13 sinA

=13×0.81915

=10.649 m/s ANS

20 giraffes were introduced to a certain safari and it is expected to double its population every 5 years. How many giraffes will exist after 2 years? How long it would take to increase their population to 60?


Answers

It would take 7.9 years to increase their population to 60.

An exponential function is in the form:

y = abˣ

where a is the initial value of y and b is the multiplier.

Let y represent the number of giraffes after x years.

From the question:

a = 20, b = 2, hence

[tex]y=20(2)^\frac{x}{5} \\\\for\ x=2:\\\\y=20(2)^\frac{2}{5} =26\\\\For\ y=60:\\\\60=20(2)^\frac{x}{5} \\\\2^\frac{x}{5} =3\\\\x=7.9\ years[/tex]

It would take 7.9 years to increase their population to 60.

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It costs $4.00 for 25 fl. oz. of detergent or $3.40 for 20 oz. Which is a better buy?

Answers

the 25 oz container is better because the unit price is 16 cents an oz and the unit price for the 20 oz is 17 cents

The sequence -1, 1, -1, 1 and so on is

Answers

Answer:

-1 is the next one ithink

Pizza chefs buy 5 5/8 kg of flour. They use 3/5 of the flour to make 9 equal mini pizzas. How much flour did they use for each mini pizza? Express your answer as a fraction in its lowest form.

Answers

Answer:

Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]

                                                = 3[tex]\frac{3}{8}[/tex]

Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9

                                           = 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)

                                           = [tex]\frac{3}{8}[/tex]

The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.

0.1/0.5=X/10 what is x

Answers

0.1/0.5 is the same as 1/5

1/5 = X/10

we times both sides by 10 to get x on its own

1/5 x 10 = 10/5 = 2 ( which equals X/10 x 10)

X/10 x 10 = X

2 = X

Factor w2 + 3w+w + 3 by grouping,

Answers

Answer:

(w+3)(w+1)

Step-by-step explanation:

In w^2 + 3w+w + 3,

we group it so that it looks like (w^2+w) + (3w+3)

Then we factor so that is w(w+1) + 3(w+1).

Distributive property(converse) allows us to simplify to (w+3)(w+1)

3.
Mark is m years old. June is 6 years older that Mark. What is their total
age in 10 years' time?

Answers

Answer:

20m+60

Step-by-step explanation:

given,

mark=m

june=m+6(6 years older that mark)

so,

after 10 years,

10(m+(m+6)

=10(2m+6)

=20m+60

solve for x where xe(0,2pi). state exact answers.
b)
[tex] \frac{1}{ \sqrt{3} } \sin(2x) + \cos(x) = 0[/tex]
e)
[tex]3 \cos(x) + \tan(x) = 0[/tex]
Note: for question e, get this equation to a point ready for factoring or to use the quadratic formula, then stop. make sure its in standard form.​

Answers

Answer:

that's the correct answer

2v-3(v+5) simplify answer

Answers

3v•2.


Add 2v and v

Add -3 and 5

Answer:

-v-15

Step-by-step explanation:

This is the answer.

Have a good day.

Let me know if you need an explanation.  

The rectangular prism shown is formed by six intersecting planes.

Where do the planes ABFE and EFGH intersect

Answers

Answer:

Line EF

Step-by-step explanation:

Planes intersect at lines

The planes ABFE and EFGH intersected by line EF.

What is Prism?

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

We have cuboidal prism which have faces ABFE and EFGH.

To find the point for intersecting we have to find a point or line which is common in both planes.

Here the point E and F are common.

But the plane EF is also common

Thus, the intersecting line is line EF.

Learn more about Prism here:

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