Describe the differences that exist between the informal geometric reasoning and formal thinking used to prove conjectures

Answers

Answer 1

Answer:

hey

Step-by-step explanation:

Answer 2

Formal geometric reasoning gives better information than informal geometric reasoning.

What is informal geometry?

Informal Geometry is defined as the aid for understanding geometry via questioning, practices, and conjecture. Subjects include stature, balance, isometries, and proportions, with scaling as a major theme.

What is formal geometric?

Formal geometry is defined as geometric explanations that are ways to formally make an opinion about a particular formation or figures in the geometrical entity, a formal geometric explanation is a detailed way to deliver that specific figures or domains which are congruent.

An an conjecture is made often using observation and detail given on the basis of logical observation is termed informal geometric reasoning,
While in formal geometric reading calculation-based approximation conjectures gives better detail of the informal geometric reasoning.

Learn more about formal geometry here:
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Related Questions

i need help with my math please​

Answers

Answer:

x is equal to 6√3

Step-by-step explanation:

[tex] - \frac{2}{3} \sqrt{5} . \: { \boxed{x}}. \: \sqrt{7} = - 4 \sqrt{105} \\ \\ - \frac{2}{3} \sqrt{5} .{ \boxed{x}}. \sqrt{7} = - 4( \sqrt{3} \times \sqrt{5} \times \sqrt{7} ) \\ \\ - \frac{2}{3} x = - 4 \sqrt{3} \\ \\ x = \frac{12 \sqrt{3} }{2} \\ \\ x = 6 \sqrt{3} [/tex]

B={the first five multiple of 2}. Express it in roster method and rewrite in set builder method?

Answers

Answer:

B (2,4,6,8,10) is the answer

B=(X:X is the first five multipel of 2)

this is a correct answer

answer needed within one hour :(

Answers

Step-by-step explanation:

ANGLE ,x=60

B=C(isoscles)

A=B.As sides are equal.

The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.

What is the value of x?

x=0.25

x=2.4

x=2.56

x=4


Pls help meeeehhhh I will give brainliesttttt :D

Answers

The answer is x=0.25

Half a watermelon and a half pound of cherries cost $3.09. A whole watermelon and two pounds of cherries cost $8.16. Find the cost of each type of fruit. (Find the cost of cherries per pound)

Answers

Answer:

each watermelon=$1.98, each pound of cherry=$4.2

Step-by-step explanation:

all step by step explaination is in picture.

the quotient of 5+h and n+3

Answers

Answer:

5+h/n+3

Step-by-step explanation:

5+h is numerator

and n+3 is denominator

so you make it a fraction to get the quotient which is 5+h/n+3

If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made. They already used 16:32 as an example

Answers

Answer: 8:16

Step-by-step explanation:

Ratios are like fractions, you can DIVIDE, so...

16 divided by 2 is 8

32 divided by 2 is 16

So there you have it!

im not good with ratios…. I would’ve just flipped it and said 32:16

Suppose u and v are orthogonal vectors with ||u|| =5 ||u||= 1/2 ||v||, find ||u+v||.






help pleas I will give you 15 points ​

Answers

Answer:  5*sqrt(5)

This is the same as sqrt(125).

It approximates to roughly 11.1803

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

Explanation:

Vector u is 5 units long as indicated by the notation ||u|| = 5. Some math books would say |u| = 5, and it's the same thing. The double bars are probably more fitting because it helps emphasize we're looking for the length of a vector and we're not using absolute value bars.

The second equation ||u|| = (1/2)*||v|| can be rewritten into ||v|| = 2*||u|| telling us that vector v is twice as long compared to vector u. Since vector u is 5 units long, that must mean vector v is 10 units long.

vector u = 5 units longvector v = 10 units long

The two vectors are orthogonal, i.e. they are perpendicular. The vector u+v represents the diagonal of the rectangle as shown below in the attached image. Vector u is horizontal, v is vertical, and u+v is the diagonal. Technically we don't know where vector u is pointed along a compass (it may or may not be pointing directly east), but I find it's easier to have it set up like this. The answer will be the same regardless of where vector u is pointed. Rotations don't affect vector lengths.

We can see that vector u+v effectively breaks down component-wise into the horizontal component u and vertical component v (think of them as x and y components respectively).

Furthermore, note how there are two right triangles that form when we draw in the diagonal of the rectangle.

To find the length of vector u+v, we apply the pythagorean theorem.

a^2+b^2 = c^2

( ||u|| )^2 + ( ||v|| )^2 = ( ||u+v|| )^2

( 5 )^2 + ( 10 )^2 = x^2

25 + 100 = x^2

125 = x^2

x^2 = 125

x = sqrt(125)

x = sqrt(25*5)

x = sqrt(25)*sqrt(5)

x = 5*sqrt(5) is the length of vector u+v

In other words, ||u+v|| = 5*sqrt(5)

Keep in mind that this trick using the pythagorean theorem only works when vectors u and v are orthogonal. The process to find ||u+v|| for non-orthogonal vectors u,v is a bit more complicated.

Question 7
Which graph best represents the solution to the following inequality?
+ 5 > 11
A
16
17
19 20 21 22
23 24 25
O
15
16
17
18 19 20 21 22
23
24 25
c.
10 11
3 4 5
12
15
13 14
D.
8
10
11
12
13
14
15

Answers

Answer:

D

Step-by-step explanation:

x + 5 > 11

is the same as

x > 6

and because it is ">" and not ">=", the solution point is not included.

therefore the right graph is D and not C. an empty little circle means "excluded", while a filled, black circle means "included".


Line l in the xy-plane is perpendicular to the line
with equation x = 2. What is the slope of line l?

Answers

The line x = 2 is perpendicular to the x-axis.
That is to say it is vertical and it’s slope is undefined.

Line l must be horizontal so it has a slope of 0

The slope of line L is 0. Then the equation of the line L in the xy-plane will be y = 0.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is x = 2. Then the slope of the equation will be given as,

m = ∞

The slope of the perpendicular line is calculated as,

⇒ -1/m

⇒ -1/∞

⇒ 0

The slope of line L is 0. Then the equation of the line L in the xy-plane will be y = 0.

More about the equation of a perpendicular line link is given below.

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Between 8.5% and 9.4% of the city's population uses the municipal transit system daily. According to the latest census, the city's population is 785,000. How many people use the transit system daily?

Answers

A system of busses, railroads, etc, and it may move the wider populace along defined routes.It is used as a basic instrument in the modulation of transport systems, whether it covers an aircraft network or a railway network.It is much more frequent in current circumstances that already existing transport systems are rationalized.

Given:

City's population= 785,000.

Calculating of city's population:

[tex]\to \bold{785000 \cdot 8.5 \% = 785000 \cdot \frac{8.5}{100}=785000 \cdot \frac{\frac{85}{10}}{100}}[/tex]

Calculating the complex fraction:

[tex]\to \bold{\frac{\frac{85}{10}}{100}, \text{write as 100 like} \ \frac{100}{1}}[/tex]

[tex]\to \bold{785000 \cdot \frac{ \frac{85}{10}}{100}=785000 \cdot \frac{\frac{85}{10}}{\frac{100}{1}}=785000 \cdot \frac{85}{1000}=66725}[/tex]

Therefore, [tex]\bold{8.5\% \ of\ 785000\ is\ {66725}}[/tex]

Calculating [tex]\bold{9.4\%}[/tex] of the city's population:

[tex]\to \bold{9.4\% (\frac{9.4}{100})}:\\\\\to \bold{785000 \cdot 9.4\% = 785000 \cdot \frac{9.4}{100}=785000 \cdot \frac{\frac{64}{10}}{100}}[/tex]

Calculating the complex fraction:

[tex]\to \bold{ \frac{\frac{94}{10}}{100}\ \text{write 100 as} \ \frac{100}{1}}\\\\\to \bold{785000 \cdot \frac{\frac{94}{10}}{100}=785000 \cdot \frac{\frac{94}{10}}{\frac{100}{1}}=785000 \cdot \frac{94}{1000}=73790}\\\\[/tex]

Therefore, [tex]\bold{9.4\%\ of\ 785000\ is\ {73790}}[/tex]

So, the final answer is "Between 66725 and 73790 people use the transit system daily".

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The morning temperature was at 23.5° F. Later that evening the temperature had dropped to 15.6° F. What was the change in temperature?



According to Jake the temperature had a change of -7.9° F.



Is Jake’s answer a true of false statement? Please explain your reasoning for your answer.

Answers

Answer:

Jake's answer is true; the change in temperature is -7.9° F.

Step-by-step explanation:

The change in temperature is the final value minus the initial value. Evening minus the morning.

The final value is 15.6° F, the initial value is 23.5° F.

So 15.6 - 23.5 = -7.9

Jake's answer is true.

1 ten thousands equivalant to

Answers

Answer:

10000

Step-by-step explanation:

yep

that is the answer

4.
For which discriminant is the graph possible?

A. b2 – 4ac = 0
B. b2 – 4ac = 6
C. b2 – 4ac = –2

Answers

Answer:

A. b2 – 4ac = 0

Step-by-step explanation:

Hey user☺☺

Option a is correct

Because the graph has only one solution.

As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.

Hope this will help☺☺

What is the period of the function given?
pls

Answers

Answer:

2. ☑ A [tex]\displaystyle f(x) = tan\:\frac{1}{2}x[/tex]

☐ B [tex]\displaystyle f(x) = tan\:2x[/tex]

☐ C x = [tex]\displaystyle 2tan\:x[/tex]

1. ☐ A [tex]\displaystyle \frac{\pi}{2}[/tex]

☐ B [tex]\displaystyle \pi[/tex]

☑ C [tex]\displaystyle 2\pi[/tex]

Explanation:

[tex]\displaystyle \boxed{f(x) = -cot\:(\frac{1}{2}x - \frac{\pi}{2})} \\ \\ y = Acot(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\pi} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{1}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]

OR

[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]

Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS the tangent graph, if you plan on writing your equation as a function of cotangent, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cot\:\frac{1}{2}x,[/tex] in which you need to replase "tangent" with "cotangent", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the tangent graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cotangent graph [photograph on the right] is shifted [tex]\displaystyle \pi\:units[/tex] to the left, which means that in order to match the tangent graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \pi\:units,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\pi} = \frac{\frac{\pi}{2}}{\frac{1}{2}},[/tex] but we are NOT YET DONE. Although we shifted the graph back into position, remember, cotangent is graphed in REVERCE, so we need to insert a negative in front of the amplitude term, and with that, the cotangent graph of the tangent graph, accourding to the horisontal shift, is [tex]\displaystyle y = -cot\:(\frac{1}{2}x - \frac{\pi}{2}).[/tex] Now, with all that being said, we can move forward. To find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are [tex]\displaystyle -\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{2\pi} = \pi + \pi.[/tex] So, the period of this function is [tex]\displaystyle 2\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = 0.[/tex]

Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.

I am delighted to assist you at any time.


You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 4 total people. How much
yogurt should you add

Answers

Answer:

2 cups of yogurt

Step-by-step explanation:

1=1/2

4=4×(1/2)

=2

Choose the inequality that represents the following graph.
H 4
+
-4
+
2.
+
4
-5
-3
-2
-1
0
1
3
5
Choose 1 answer:
2 <-3
3 <-3
С
> -3
D
a 2-3

Answers

Answer:

B

Step-by-step explanation:

The solid circle at - 3 indicates that x can be equal to - 3

The arrow pointing left indicates the values of x are less than - 3

Then

x ≤ - 3 → B

is -17 a rational number or irrational number

Answers

A rational number is a number that you can write as a fraction of two integers.

-17 = -17/1, -34/2, etc.

-17 is rational.

Irrational numbers, like pi and sqrt(2), cannot be written as a fraction of integers.

Answer:

rational

Step-by-step explanation:

if a number can be written as a fraction,  where p and q are integers and q is a non-zero number


Which of the choices shows these values arranged from greatest to
least?



.68% 2.43
12/6 2 over -3

Answers

23.7 just playing and this not the ans

Answer:

vdffdersewsesdfdresweseseseeerswesdsfd

Step-by-step explanation:

reterersesdvbvfdderereerereeeewwqwewereddddscdcvvbvfddewww

For the equation: – 36 – 4r = -2(-6 + 6r), what is the value of r?

Answers

Answer:

r = 6

Step-by-step explanation:

– 36 – 4r = -2(-6 + 6r)

+36               +36

----------------------------------

-4r = -12r + 48

+12r     +12r

----------------------------------

8r = 48

/8     /8

----------------------------------

r = 6

Answer:

r = 6

Step-by-step explanation:

– 36 – 4r = -2(-6 + 6r)

-36 - 4r = 12 - 12r

-48 - 4r = -12r

-48 = -8r

r = 6

yancy made a 1:14 scale model airplane. the model airplane's tail is 5.7 inches long what is the length of the actual airplane tail its modeled after? round to two decimals

Answers

Scale factor used by Nancy for the model of an airplane = 1 : 14

Length of the tail of the airplane = 5.7 inches

Scale factor is defined by the expression,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

By substituting the dimension of the model in the expression,

[tex]\frac{1}{14}=\frac{5.7}{\text{Dimension of the original}}[/tex]

Dimension of the original plane = 14 × 5.7

                                                     = 79.80 inches

Therefore, length of the tail of the actual airplane will be 79.80 inches.

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Length of Actual airplane's tail is 79.8 inches or 6.65 ft

Given:

Scale model sample = 1 : 14

Length of model airplane's tail = 5.7 inches

Find:

Length of Actual airplane's tail

Computation:

Length of Actual airplane's tail = Length of model airplane's tail × Scale model sample

Length of Actual airplane's tail = 5.7 × 14

Length of Actual airplane's tail = 79.8 inches

Length of Actual airplane's tail = 79.8 inches or 6.65 ft

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1 3/4 divided by 2 3/8

will give brainiest pls help

Answers

Answer:

[tex]\frac{14}{19}[/tex]

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

[tex]\frac{7}{4} \div \frac{19}{8}[/tex]

Applying the fractions formula for division:

[tex]= \frac{7 \times 8}{4 \times 19}[/tex]

[tex]= \frac{56}{76}[/tex]

Simplifying 56/76, the answer is:

[tex]\frac{14}{19}[/tex]

I hope this helps! :)

Answer:

the answer is 14/19

change the mixed numbers to improper fractions then that becomes 7/4 and 19/8 then multiply across 7x8=56 and 19x4=76 that gives you 56/76

Simplifying 56/76,=  14/19  

express the trinomial (x+1)(3x+2)

Answers

Answer:

3x^2+5x+2

Step-by-step explanation:

(3x^2)+(2x)+(3x)+(2)

3x^2+5x+2.

Answer:

3x²+5x+2

Step-by-step explanation:

(x+1)(3x+2)

(3x²)+(2x)+(3x)+(2)  

3x²+5x+2.

What is A= 2/h (a+b) for h?

Answers

Answer:

h= 2A/a+b

Step-by-step explanation:

you know the gig

Yolanda has 3/4 of a cup of sugar. This is 3/5 of what she needs. How much sugar does Yolanda need?
Show your reasoning.

Answers

Answer:

[tex]1\frac{1}{4}[/tex] cups

Step-by-step explanation:

1. Info we have

3/4=3/5

2. Solving

3/4*1/3=3/5*1/3

1/4 = 1/5

1/4*5=1/5*5

5/4=5/5

5/4= 1 and 1/4 cups

Hope this helped! Please mark brainliest :)

~~ SUMMER ~~

This is line segments.

Answers

Step-by-step explanation:

[tex]here \: b \: is \: the \: mid \: point \\ so \: ab = bc \\ 10x - 17 = 6x + 11 \\ x \: terms \: togather \\ 10x - 6x = 11 + 17 \\ 4x = 28 \\ x = \frac{28}{4} \\ x = 7 \\ thank \: you[/tex]

So on this line we got points A, B ,and C. These points are all equally distanced from each other. So line AB would have to equal to line BC. And line AB plus line BC would equal line AC.
We are given that line AB is 10x-17, with x as the unknown variable. Line BC is 6x+11. Line AB is equal to Line BC. Now we need to use that information to find x, so we’ll set up the equation.
Line AB=Line BC
10x-17=6x+11
Minus 6x to both sides (like terms)
4x-17=11
Add 17 to both sides (like terms)
4x=28
Divide both sides by 4
x=7
The answer is B. 7

Which statement compares the numbers correctly 23.811 > twenty-three and eight hundred eleven thousandths Twenty-three and eight hundred eleven thousandths > 23.811 Twenty-three and eight hundred eleven thousandths < 23.811 Twenty-three and eight hundred eleven thousandths = 23.811

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

A new cars salesperson, sold an average of $32,130 per day for the first 4 days she worked. The next 5 days she worked, she sold an average of $31,173. How much did she sell on average per day over the entire time she worked??​

Answers

Answer:

$31,598.33

Step-by-step explanation:

she worked 4+5=9 days.

due the total average we need the total of sales and divide it by the length of the observation period (9 days).

how much did she sell in total on the first 4 days ?

well, the average times 4 = 32130×4 = $128520

how much did she sell in total during the following 5 days ?

31173×5 = $155865

so, the daily average is

($128520 + $155865) / 9 =$284385 / 9 = $31,598.33

eighteen divided by the sum of two and seven

Answers

Answer:

2

Step-by-step explanation:

18/(2+7)=18/9=2

The answer is 2
18/2+7
18/9
2

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder

Answers

I need a picture of the question

Answer:

C. 640π cubic units

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