what is euclid's lemma

Answers

Answer 1

Euclid's Division Lemma statement is that if we divide an integer by another integer (non-zero integer), we will get a unique integer as qoutient and a unique integer as remainder


Related Questions

How do you solve this proof?

Answers

Answer:

Angle = A

A7 = A4 (Alternate interior angles)

A14 = A11 (Vertically opposite angles)

A11 = A6(Corresponding angles)

A4 = A14 (Given)

From this, we can get A6 = A4

A6 and A4 are alternate angles and are equal. So c and d are parallel.

A7 + A10 = 180 (Linear pair of angles) - ( 1 )

A13 = A10(Alternate interior angles)

Putting A13 in place of A10 in ( 1 ),

A7 + A13 = 180

Hence proved

Ask doubts if any

Find the area. Please hurry!

Answers

I believe it’s 87, but I do not agree with the question. There should be more information on the graph. I hope I’m correct but the only answer I’m getting with the info you have is C=87

jen thought she would get 12 questions right on the test but she only got 8 what is the percent of error?

Answers

Answer:

50 percent of error

Step-by-step explanation:

((experiment - real)/real) x 100 = the percentage

(12-8) = 4

4/8 = .5

.5 x 100 = 50%

Quadrilateral ABCD is inscribed in circle O as shown below.

Answers

Answer:

Step-by-step explanation:

180 - m∠1

Find the coordinates of point M, that partitions the directed line segment SY from S(4,2) to Y(-4,-6) in a ratio of 1/3.

Answers

Answer:

the coordinates of  point M = (2,0)

Step-by-step explanation:

Given;

point S along the segment, = S(4,2)

point Y along the segment, = Y(-4, -6)

ratio of the partition = ¹/₃

total ratio = 1 + 3 =  4

The midpoint of segment SY is calculated as follows;

[tex]mid-point (o) = \frac{x_1 + x_2}{2} ,\ \frac{y_1 + y_2}{2}\\\\ mid-point (o) = \frac{4 + (-4)}{2} , \ \frac{2+ (-6)}{y} \\\\mid-point (o) = \frac{0}{2} , \ \frac{-4}{2} \\\\mid-point (o) = (0, \ -2)[/tex]

The coordinates of point M is calculated as follows;

point M divides the segment into 4 equal parts with point O as the mid-point.

                M

S--------------|-------------------O-------------------|-------------------Y

|SO| = |OY|

[tex]The \ mid-point \ of \ SO = M\\\\Point \ S = (4,2) \\\\Point \ O = (0,-2) \\\\Point \ M = \frac{4 + 0}{2}, \frac{2 - 2}{2} \\\\ Point \ M = 2, 0 \\\\M = (2,0)[/tex]

Therefore, the coordinates of  point M = (2,0)

A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?

Find the t-table here.

(4.396, 8.104)
(4.865, 7.635)
(5.097, 7.404)
(5.245, 7.256)

Answers

Answer:

C. (5.097, 7.404)

Step-by-step explanation:

EDGE 2020

The 90% confidence interval for the true mean amount of time teenagers from this town watch sports is (5.097, 7.404).

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The formula for the confidence interval is:

CI = x ± tα/2 × (s/√n)

where x is the sample mean,

s is the sample standard deviation,

n is the sample size, and

tα/2 is the t-value with (n-1) degrees of freedom and a confidence level of 90%.

From data (x) is 6.25 hours and

s=  4.33 hours.

We also know the sample size (n) is 40.

To find the t-value with (n-1) degrees of freedom and a confidence level of 90%, we can use a t-table.

For 39 degrees of freedom and a confidence level of 90%

Let us find that the t-value is 1.684.

Substituting the values we have into the formula, we get:

CI = 6.25 ± 1.684 × (4.33/√40)

CI = (5.097, 7.404)

Therefore, the 90% confidence interval for the true mean amount of time teenagers from this town watch sports is (5.097, 7.404).

To learn more on Statistics click:

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How much time is between 2:30 pm and 4:15pm?? I need an answer quick!!

Answers

Answer:

Step-by-step explanation:

First do 4 -2 to get 2. Then do 30-15 to get 15. It’s 2:15.

You can also do this on a calculator by doing 4.15-2.30. You get 1.85

Remember that time is only up to 60 So you have to subtract 15 from 85 to get 60. So it’s 2 hours and 15 minutes. Hope this helps!

There are 60 sheets of papers in each pack. How many packs are needed to arrange for 5432 sheets?

Answers

Answer:

90 8/15 hope this helps byee

is -51/5 rational or irrrational

Answers

I believe this is rational because the decimal has a end.

the melting point of ice + common salt =​

Answers

Answer:

Step-by-step explanation:

Ice forms when the temperature of water reaches 32 degrees Fahrenheit (0 degrees Celsius). When you add salt, that temperature drops: A 10-percent salt solution freezes at 20 °F (-6 °C), and a 20-percent solution freezes at 2 °F (-16 °C). On a roadway, this means that if you sprinkle salt on the ice, you can melt it.

Ice forms when temperatures are increased meaning it’ll be by 20 degrees

Plz I need help with this ASAP

3x^2/4=48

This is solving quadratic functions by square roots btw

Answers

3x^2 / 4 = 48

Multiply both sides by 4 to get rid of the four on the left.

3x^2 = 192

Divide both sides by 3

x^2 = 64

The square root 64 to get x

Remember there are two answers

x = 8 and x = -8

Answer:

x = 8

Explanation:

[tex]\frac{3x^2}{4} =48[/tex]

multiply both sides by 4: [tex]3x^2=192[/tex]

divide both sides by 3: [tex]x^2=64[/tex]

take the square root:

[tex]\sqrt{x^2} = \sqrt{64} \\x=8[/tex]

Solve the following system using substitution:
x - 4y = -1
-3x +8y = -2

Answers

Answer: ( 4, 5/4)

Step-by-step explanation: x = 4, y = 5/4

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm. Find the approximate increase in the surface area of the cylinder when the radius of the base increases to 5.05

Answers

Answer:

19.72 cm²

Step-by-step explanation:

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.

The volume of cylinder is given by :

[tex]V=\pi r^2 h\\\\=3.14\times (5)^2\times 12.5\\\\=981.25\ cm^2[/tex]

When r = 5.05, new volum becomes,

[tex]V=\pi r^2 h\\\\=3.14\times (5.05)^2\times 12.5\\\\=1000.97\ cm^2[/tex]

Increase in area = 1000.97 - 981.25 = 19.72 cm²

So, the increase in surface area of the cylinder is equal to 19.72 cm².

What is the positive solution to this equation? 4x^2+ 12x = 135 Record your answer and fill in the bubbles on your answer document.​

Answers

Answer:

[tex]\frac{9}{2} or 4.5[/tex]

Step-by-step explanation:

4x^2+ 12x = 135

D=b²−4ac=122−4(4)(−135)=144+2160=2304=48²

[tex]x_{p}= \frac{-12+48}{8} =\frac{36}{8}=\frac{9}{2}=4.5[/tex]

what is 6+(−434)+(−218) simplified?

Answers

Answer:

Hi! The answer to your question is -646

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

A group of 25 students is asked which of football or rugby they play regularly.
• 10 say they play both.
15 say they play rugby.
4 say they do not play either of the sports.
.
ՖՐ
ח
R
a) Complete the Venn diagram.
The universal set, &, contains all of the
25 students.
[3]
b) One of these students is chosen at random.
What is the probability that this person plays football?

Answers

Answer:

a) see explanation

b) 40%

Explanation:

a) sorry, i can't specifically help with this one unless you attach a picture of the venn diagram. but the way venn diagrams work is that you draw several circles, each representing a trait (i.e. plays rugby). circles will overlap if someone has more than one trait (i.e. plays both sports).

b) the probability is 10 ÷ 25 × 100% = 40%.

i hope this helps! :D

At Food Lion, you can buy 3 bags of Takis for $4.99. What is the
price of one bag of Takis? (Round to the nearest cent)

Answers

Answer:

Step-by-step explanation:

price of one bag of Takis = $4.99/3 = $1.66333, which is approximately $1.66

what is the value of 9 1/2

Answers

Answer:

9.5

Step-by-step explanation:

Is that what you mean by value?

I need a better explanation

Answer:

Step-by-step explanation:

It is nine and a half. What do you exactly mean by value?

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

A

Step-by-step explanation:

It will always go down if you put more wait.

Can I have Brainliest

HURRYYYYY PLEASEEEEE

Find the area of the circle. Use 3.14 for p.

Answers

Answer: B

Step-by-step explanation:

In parallelogram NPQR if NS=20 find SQ

Answers

Answer:SQ=20

Step-by-step explanation:

NS=20

NS=SQ

SQ=20

The value of SQ is 20

What is parallelogram?

The Greek word "parallelogram on," which means "bounded by parallel lines," is where the term "parallelogram" comes from. As a result, a parallelogram is a quadrilateral with parallel lines defining its boundaries. The opposite sides are parallel and equal in this shape. There are three main classes of parallelograms: square, rectangle, and rhombus each have their own distinct characteristics.

Given a parallelogram NPQR

and NS = 20 to find the value of SQ

since S is the intersecting point of diagonals of parallelogram,

so NS = SQ

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. The sum of the squares of a parallelogram's diagonals and all of its sides is the same.

SQ = 20

Hence for parallelogram SQ = 20.

Learn more about parallelogram;

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The complete question is attested in image.

Which questions can be answered by finding the volume? Check all that apply. How much wrapping paper is needed to cover a box? How much juice is inside the juice box? How much paint is needed to cover the walls in a bedroom? How much sand is needed to fill a sandbox? How much ice can fill a cooler?

Answers

How much juice is inside the juice box? How much sand is needed to fill a sandbox?
How much ice can fill a cooler?

(Volume is a measure of the inside contents or the space inside)
b - how much juice fits in a juice box
d - how much sand fills the sandbox
e - how much ice fills cooler

volume is how much space something takes up, not covers

Alan worked for 2 58 hours doing yard work. He spent 1 12 hours raking leaves. He spent the rest of the time cleaning out the flower bed. How long did he spend cleaning out the flower bed?

Answers

Answer:

If it takes Luke 3 hours to rake a yard, and Don 5 hours to rake the same yard, how long will it take them to rake the yard together.
First we do it in our head. Take everything to 15 hours, the LCM of 3 hours and
and 5 hours. Since Luke can rake 1 yard in 3 hours, he can therefore rake 5
yards in 15 hours. Similarly since Don can rake 1 yard in 5 hours, he can
therefore rake 3 yards in 15 hours. So that's 5 yards plus 3 yards they can
rake in working simultaneously for 15 hours, therefore they rake 8 yards in 15
hours or 1 yard in 15%2F8ths of an hour. That's 1%267%2F8ths hours.

By algebra. Make this chart:


Yards raked Hours Rate in yards/hr
Luke 1 3 1/3
Don 1 5 1/5
Together 1 x 1/x

Luke's rate + Don's rate = their rate together
1/3 + 1/5 = 1/x

Solve that by clearing of fractions and you'll get the same answer as
when we do it in our head.

1 13/24

Ignore this btw that is the answer i’m just writing this cause it says i have to write 20 letters-

can someone help me asap​

Answers

Answer:

so 414 so the 4 in the hounded coloum

1011 the one is in the tenths coloum

does this help you work out the over two

Step-by-step explanation:

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease per unit
of x, to the nearest tenth of a percent.
y = 1600e -0.1252

Answers

Answer: -34738.4259228

Step-by-step explanation:

It’s a decrease because your dividing 1600e -0.1252

State the slope and y-intercept for the graph of the equation -8x + y = -12.

Show your work!!

Answers

Answer:

Slope is 8 and Y-Intercept is -12

Step-by-step explanation:

Move the -8x over to the right side by adding it, You are now at

y=-12+8x

Move these around and you are now at

Y=8x-12

Answer:

Step-by-step explanation:

Remark

y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.To read the slope, you must have x and its coefficient on opposite sides of the equal sign. So you get y = 8x - 12 when you add 8x to both sidesNext, the y intercept is found when x = 0y = 8x - 12y = 8(0) - 12y = - 12The  y intercept is -12 or in point form (0, - 12)

Answer

slope = 8

y intercept = - 12

PLZZ HELP WITH THIS HOMEWORK

Answers

These are the answers to it

5. To determine the number of kids under the age of 5 in your neighborhood, you sit outside of
your apartment and count the number of kids under 5 that pass by between the hours of 7AM
and 8AM. Do you think this method will provide you with a representative random sample?
Explain your reasoning.

Answers

Answer:

It will not provide a representative random sample.

Step-by-step explanation:

This is because kids under five will only leave the house if they are going to the park or doing something with there parents. They don't go to school either so they most likely won't leave during the hours of 7 AM and 8 AM.

Hope this helps! :D

- Luna

PLEASE HELP (12 YEAR OLD MATH)​

Answers

Answer:

1.5 I think?

Step-by-step explanation:

it was counting by 6 but then skipped to 26 so I assume it is 1.5

Witch equation is true when the value of x is -12?

A:1/2x + 22 = 10
B:15 - 1/2x = 21
C:11 - 2x = 17
D:3x - 19 = -17

Answers

Answer:

please the answer is D

I'm very interested in the question

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