12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6

12. Observe The Pattern Made By The Figures. Canyou Write A Conjecture About The Number Oftriangles Formed

Answers

Answer 1

Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:

The number of triangles that can be formed by an n-sided shape is n - 2.

Given that:

[tex]n \to[/tex] number of sides

From the attached figures, we have the following observation.

3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 triangles

If this pattern continues, the number of triangles for an n-sided shape will be: n - 2

Hence, the conjecture is:

The number of triangles that can be formed by an n-sided shape is n - 2.

Read more about conjectures at:

https://brainly.com/question/15947300


Related Questions

Quadrilateral PQRS is a rectangle. What is the length of PQ?

Select the best answer from the choices provided.
А.7
B.19.799
C.24.249
D.28

Answers

Answer:

C

Step-by-step explanation:

remember SOHCAHTOA

SOH is for sin

CAH is for cosin

TOA is for tan

line PS=14 so line QR=14

line PQ is your x value. so to solve, write out tan30=14/x

rewrite it so it now says x= 14/tan. type that in to your calculator and you get your answer

5(1+s)=9s+6
----------------

Answers

Answer:

Solution given

5(1+s)=9s+6

distribute

5+5s=9s+6

subtract both side by 5s

5+5s-5s=9s-5s+6

solve like terms

5=4s+6

subtract both side by 6

5-6=4s+6-6

-1=4s

divide both side by 4

-1/4=s

Answer:

[tex]s=-\frac{1}{4}[/tex]

[tex]s=-0.25[/tex]

Step-by-step explanation:

[tex]5\left(1+s\right)=9s+6[/tex]

Apply distributive law:-

[tex]5\left(1+s\right)[/tex]

[tex]=5+5s[/tex]

[tex]5+5s=9s+6[/tex]

Now, Subtract 5 from both sides :-

[tex]5+5s-5=9s+6-5[/tex]

[tex]5s=9s+1[/tex]

Subtract 9s from both sides:-

[tex]5s-9s=9s+1-9s[/tex]

[tex]-4s=1[/tex]

Divide both sides by -4:-

[tex]\frac{-4s}{-4}=\frac{1}{-4}[/tex]

[tex]s=-\frac{1}{4}[/tex]

OAmalOHopeO

Which is an equivalent form of the expression 1800(1.2)-t?

Answers

Answer:

2160 - t

Step-by-step explanation:

1800(1.2)-t

2160 - t

2out of 5 people own a bike if there are 2500 people in the neighborhood about how many people own a bike

Answers

Find the decimal for 2 out of 5 by dividing 2 by 5:

2 out of 5 = 2/5 = 0.40

Multiply total people by 0.40:

2500 x 0.40 = 1,000

Answer: 1,000

Tyrell had $73.25. He then spent $42.73 on a pair of shoes. Witch is the best estimate of the amount tyrell had left?

Answers

Answer:

I would estimate $30.52

Step-by-step explanation:

If you subtract his original total from the beginning from what he had spent on shoes, you would get the amount of what he has left.

Find x if 2 {x}^2- 3 {x} + 1 >0, where {.} denotes the fractional part in [- 1, 1]

Answers

Step-by-step explanation:

−1,

2

−1

]∪[0,

2

1

]∪{1}

For f to be defined 2{x}

2

−3{x}+1≥0

({x}−1)(2{x}−1)≥0

⇒{x}∈(−∞,

2

1

)∪[1,∞)

But we know, {x}∈[0,1)

Thus {x}∈[0,

2

1

)→(1)

Also given that x∈[−1,1]

Hence required domain is [−1,−

2

1

]∪[0,

2

1

],∪{1}

Note {−x}=1−{x}

Hermione is collecting Chocolate
Frog Cards. She starts with a
collection of 20 cards and gets 2 more
per week. After how many weeks will
she have 64 cards?

Answers

Answer: 22

Step-by-step explanation: 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64

quicker example: 64-20= 44 also 22x2=44 + 20 = 64

Round 799.999 to:
hundredths
and
tens

Answers

Answer:

Tens: 800

Hundredths: 800

Step-by-step explanation:

It's all connected.

Answer:

799.999 ≈ 800.00 rounded to hundredths799.999 ≈ 800.0 rounded to tenths

What and why is the total amount 180 is it a triangle? Or something

Answers

Answer:

Yes it is

Step-by-step explanation:

when you add up all parts of a triangle they are equal to 180

Answer:

yes

Step-by-step explanation:

the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)

if your shoe size is out of stock should you size up or down i’m a girl

Answers

Go a half size up and also see if the shoe runs big or small.

Which of the following numbers is a rational
number but not an integer?
A. -4
B. -3.5
c. -2
24
8
D. 25

Answers

Answer:

I think -3.5 is the right answer

Solve for x: two thirds(x − 2) = 4x

Answers

Answer:

-2/5 =x

Step-by-step explanation:

2/3 ( x-2) = 4x

Multiply each side by 3/2

3/2 * 2/3 (x-2) = 3/2 *4x

x-2 = 6x

Subtract x from each side

x-2-x = 6x-x

-2 = 5x

Divide each side by 5

-2/5 = 5x/5

-2/5 =x

x=−  2/5=−0.4 is the answer please mark brainliest

PLZ HELP!! i’ll give brainliest

Answers

Answer:

7.2

Step-by-step explanation:

The points shown form a right angle triangle along the x axis so the distance is the hypotenuse. So

a**2 + b**2 = c**2

4**2 + 6**2 = c**2

16 + 36 = c**2

52 = c**2

52**(1/2) = c

7.2 = c

can someone answer this please

Answers

Answer:

DE = 1/2 AC -> AC = 4

EF = 1/2 AB -> AB = 6

DF = 1/2 BC -> BC = 8

Step-by-step explanation:

hope it help u

To shape service similar create and solve a proportion to find the value of X then find the measure of the unknown side

Answers

Answer:

x = 10

6x - 6 = 54

Step-by-step explanation:

The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).

So our proportion:

63/(6x-6) = 49/42

Cross multiply

63*42 = 49*(6x-6)

2646 = 294x-294

2940 = 294x

x = 10

Double-check:

63/(6*10 - 6) = 49/42

63/(60 - 6) = 49/42

63/54 = 49/42

7/6 = 7/6

6x - 6 = 6(10) - 6 = 60 - 6 = 54

recupera los siguientes conceptos: ecuación

Answers

Hay dos posibles definiciones:

(Lógica) Proposición Abierta con Equivalencia que contiene Elementos tal que esta sea Verdadera.

(Algebraica) Expresión de Igualdad entre un Conjunto de Variables.

Observación: A nuestro modo de ver el enunciado se halla incompleto y consideramos que la solución está en definir el alcance del verbo "recuperar", el cual para estos efectos definimos como "retomar y describir". Por otra parte, se reescribe el concepto como sigue:

Recupera el concepto de ecuación.

Matemáticamente, podemos sacar dos Definiciones al término Ecuación, las cuales son descritas a continuación:

1) Proposición Abierta con Equivalencia que contiene Elementos tal que esta sea Verdadera.

2) Expresión de Igualdad entre un Conjunto de Variables.

Véase esta pregunta relacionada con Ecuaciones: https://brainly.com/question/21496108

The greater of two numbers is 6 more than 4 times the smaller. Their sum is 41. FInd the numbers.

Answers

Answer:

7 and 34

Step-by-step explanation:

let x and y be the 2 numbers with x > y

The 2 equations to solve are

x = 4y + 6 → (1)

x + y = 41 → (2)

Substitute x = 4y + 6 into (2)

4y + 6 + y = 41 , that is

5y + 6 = 41 ( subtract 6 from both sides )

5y = 35 ( divide both sides by 5 )

y = 7

Substitute y = 7 into (1)

x = 4(7) + 6 = 28 + 6 = 34

The 2 numbers are 7 and 34

7 and 34 is the answer

please help me with this question 17t 200kg divided by 8​

Answers

Answer:

1 ton = 1000 kg

So, 17 ton = 17 × 1000

= 17000 kg

17000 + 200 kg = 17200 kg

[tex] \frac{17200}{8} = 2150kg[/tex]

Kristy’s cellphone company charges a monthly rate of $45 plus $0.05 per text message sent, and $0.58 per video messages sent. Kristy’s sent 8 video messages in October and receive a bill for $55.29. How many text messages did she sent?

Answers

Answer:

About 113.

Step-by-step explanation:

45 + 0.05t +0.58v = 55.29

v = 8

t is 113 text messages.

Kristy’s sent About 113 text messages..

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

It is given that Kristy’s cellphone company charges a monthly rate of $45 plus $0.05 per text message sent and $0.58 per video messages sent.

Also Kristy’s sent 8 video messages in October and receive a bill for $55.29.

The equation form as;

45 + 0.05t +0.58v = 55.29

Solve for t when v = 8;

45 + 0.05t +0.58(8) = 55.29

t = 113

Therefore, she sent 113 text messages.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

3(3x+3)−5x−4=25 .......................................................

Answers

Answer:

X = 5

Step-by-step explanation:

3(3x+3)-5x-4=25

9x+9-5x-4=25

4x+5=25

4x=25-5

X = 20/4

X = 5

Write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (1, 1), slope = 6)
through: (-4, -4), slope = 1/4)
through: (4, 5), slope = 7/4)
through: (-4, -5), slope = 0)
through: (5, 1), slope = -2/5

Answers

Answer:

through: (-4, -5), slope = 0)

Step-by-step explanation:

gd afternoon

have a lovely day

The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 1 < x < 2?

Answers

-2 units is your awnser too this one

what is 2.3 ÷ 225.4 ​

Answers

Answer: 2.3/225.4=0.01020408

Answer:

98.000

Step-by-step explanation:

Change the divisor 2.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

2254 ÷ 23 = 98.000

and therefore:

225.4 ÷ 2.3 = 98.000

Both calculated to 3 decimal places.

Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?

one half(k + 5)
one halfk + 5
one half + k + 5
one halfk > 5

Answers

The answer is 0.5(k+5)

48 tablespoons to cups

Answers

Answer:

I'm about to use the lmgtfy card

Answer:

48 us cups = 3 us cups

Plz mrk me brainliest

Which number is equivalent to 4 /12

Answers

Step-by-step explanation:

a 9/2 is the correct answer.

Answer:

9/2

Step-by-step explanation:

[tex]4\frac{1}{2} = \frac{(2*4)+1}{2} \\=\frac{9}{2}[/tex]

Gabbar watched 650 movies in the last 5 years. Every year he watched 10 movies less than the previous year. How many movies did he watch in the 1st year?

Answers

Answer:

he watched 2movie in 1st year

This is a Arithmetic Series.
Sum = n/2[2a + (n - 1)d]
5/2(2a + 4 x -10) = 650
2a - 40 = 650 x 2/5 = 260
2a = 260 + 40 = 300
a = 150

He watched 150 movies in the first year.

The series is 150 + 140 + 130 + 120 + 110 = 650

f(r)=3.14r2 what is f(7)?

Answers

Hi :)

f(r) = 3.14r2

f(7) = 3.14(7)(2)

f(7) = 43.96

How to evaluate a2 + b - c2

Answers

a2 + b + 1c2 i think

7+4c=7c+6
-----------------

Answers

Answer:

Solution given:

7+4c=7c+6

subtracting both side by 4c

7+4c-4c=7c-4c+6

solve like terms

7=3c+6

subtracting both side by 6

7-6=3c+6-6

3c=1

c=1/3

Answer:

c = -1/3

Step-by-step explanation:

7 + 4c = 7c + 6

7 - 8 + 4c = 7c

-1 + 4c = 7c

-1 = 7c - 4c

-1 = 3c

-1/3 = c

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