what form of deductive reasoning is used in this argument?

If a triangle is scalene, it has no sides the same length.
If a triangle has no sides the same length, then it isn't quadrilateral.
If a triangle is scalene, then it isn't quadrilateral

A. law of detachment
B. law of syllogism
C. Law of contrapositive
D. law of converse
F. identification of counterexample​

Answers

Answer 1

The form of deductive reasoning used in the argument is the law of syllogism.

Deductive reasoning is logical reasoning that entails drawing one or more premises (factual statements) via a logical conclusion.

The Law of detachment asserts that if x → y; and x is true, then y is true.

The Law of syllogism is a type of deductive reasoning that occurs in three forms with a frequent term that occurs in the premise (here: triangle) but not in conclusion.

This is a striking feature that differentiates it from other forms of deductive reasoning.

Therefore, we can conclude that the form of deductive reasoning used in the argument is the law of syllogism.

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Related Questions

It has been estimated that there are 107 billion pieces of mail per year. If the postage rates are raised 2¢, how much extra revenue does that generate?

Answers

The extra revenue generated by the mail is $2.14 billion

How to determine the extra revenue generates?

From the question, we have the following parameters that can be used in our solution:

Number of mails in a year = 107 billion pieces

Amount generated per mail = 2¢

From the above parameter, we can calculate the total amount generated using the following equation

The total revenue generated by the mail is calculated as

Amount generated = Number of mails in a year x Amount generated per mail

Substitute the known values in the above equation

So, we have the following equation

Amount generated = 107 billion x 2¢

Evaluate the product

Amount generated = 214 billion ¢

Express as dollars

Amount generated = $ 2.14 billion

Hence, the total amount is $2.14 billion

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The estimated cost of mail per year when the rate of postage is raised by 2¢ is

$2.14 * 10^9 = 2.14 billion dollars

How to calculate the the extra revenue generated

The problem require conversion of units and multiplication

The extra rate of for raising the postage is given to be 2¢

converting 2¢ to dollars gives $0.02

The rate is used to multiply number o f mails which is 107 billion

107 billion = 107 * 10^9, therefore

107 * 10^9 * 0.02

= 214 * 10^7

= 2.14 * 10^9

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THE DIFFERENCE OF
TWO NUMBERS IS 10,WHILE THEIR PRODUCT IS 39.FIND THESE NUMBERS

Answers

The numbers are 13 and 3.

Let the numbers be x and y. Equation representing difference of these numbers-

x - y = 10 : equation 1

Equation representing product of these numbers- x × y = 39 : equation 2

Rewriting the equation 2 in terms of y

y = 39/x : equation 3

Keeping the value of y from equation 3 in equation 1

x - 39/x = 10

Multiplying the equation by x

x² - 39 = 10x

Rearranging the equation

x² - 10x - 39 = 0

Factorising the equation

x² - 13x + 3x - 39 = 0

x(x - 13) +3 (x - 13) = 0

(x + 3) (x - 13) = 0

Value of x = 13 and -3

Taking positive value of x

Keeping value of x in equation 3

x = 13

y = 39/13

y = 3

Hence, the numbers are 13 and 3.

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helppppppppppppppppppppppppppppppppppppppppppppppppppppp

helppppppppppppppppppppppppppppppppppppppppppppppppppppp
helppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

first     second           sum

5              2                   7

7             -3                   4

-10           6                  -4

second picture

D, C, B, A

Step-by-step explanation:

Answer:

Step-by-step explanation:

First second sum

5 2 7

7 -3 4

-10 6 -4

Second question

d,c,a,b

the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading

Answers

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Find the area of the grey pathway

Find the area of the grey pathway

Answers

52 square metres

Step-by-step explanation:

we can divide the pathway in to 2 parts to find the area

1st part

length = 12m

breadth = 2m

\(area = 12 \times 2 = {24}^{2}m \)

2nd part

length = 16-2 = 14

breadth = 2

area =

\(area = 14 \times 2 = {28}^{2} m\)

atlast add both areas

52 square metres

Find the area of the grey pathway

Answer:

52m²

Step-by-step explanation:

find the area of ​​the horizontal rectangle, add it to the vertical rectangle and remove the common part

2 * 16 + 2 * 12  - 2 * 2 =

52m²

Please help! The question is in the image.

Please help! The question is in the image.

Answers

Answer:

Step-by-step explanation:

Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.

Determine if the equation given in slope-intercept form represents the graph. If the equation is correct

Answers

The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.

What is the slope-intercept form?

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

m represents the slope.c represents the y-intercept.x and y are the data points.

What is y-intercept?

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided regarding the equations and graphs, the y-intercept are as follows:

The y-intercept of y = 4x + 5 is equal to 5.The y-intercept of this graph with point (0, 4) is 4.

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Determine if the equation given in slope-intercept form represents the graph. If the equation is correct

what does the global climate change have to do with mcr

Answers

Answer:

Everything bro

Step-by-step explanation:

(03.04 MC) Two pieces of bread, banana and whole wheat, were left out on a kitchen counter and mold began to grow on them. The area of mold growth B(t), in mm2, on the piece of banana bread present after time t weeks, can be represented by the equation B(t) = 20(1.06)t. The area of mold growth W(t), in mm2, present on the piece of whole wheat bread after t weeks is represented in the table. t (in weeks) 1 2 3 4 W(t) (in mm2) 40.8 41.62 42.45 43.30 Which statement best compares the mold growth rates of the banana bread and the whole wheat bread? Question 16 options: The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was twice the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was half the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was a third the mold growth rate of the whole wheat bread.

Answers

Answer:

  (a)  The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread

Step-by-step explanation:

The equation for exponential growth can be written in the form ...

  f(t) = a·b^t

where a is the initial value, and b is the growth factor for time period t. The growth factor is related to the growth rate by ...

  b = 1 +r . . . . . where r is the growth rate in time period t

__

banana bread

The equation for the area of mold on the banana bread is given as ...

  B(t) = 20·1.06^t

Comparing to our generic equation, we see ...

a = 20b = 1.06 = 1 + 0.06

The growth rate of the mold on the banana bread is given as 0.06 = 6% per week.

__

whole wheat bread

We are given some values of t and area that we can use to find the growth rate of mold on the whole wheat bread.

  W(1) = 40.8 = a·b^1

  W(4) = 43.30 = a·b^4

The ratio is ...

  W(4)/W(1) = (a·b^4)/(a·b^1) = b^3 = 43.30/40.8

Then the value of b can be found to be ...

  b = ∛(43.30/40.8) ≈ 1.02002 ≈ 1 + 0.02

The growth rate of mold on the whole wheat bread is about 0.02 = 2% per week.

__

comparison of growth rates

The mold growth rate on the banana bread compared to that on the whole wheat bread is ...

  (banana bread growth rate)/(whole wheat bread growth rate) = 6%/2% = 3

We can conclude ...

  The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread

\(9 + \frac{ {8}^{3} }{2}\)
Pls Answer it
Don't understand?​

Answers

The answer is 265 first simplify 8^3 giving you 512 then divide that by 2 giving you 256 then add 9 giving you 265

4 3/8 + 5 1/2= in fractions

Answers

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.

1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4

Answers

The normal range using a compound inequality is 1.5 < x < 4

How to model the normal range using a compound inequality.

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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I need it no link no bot right, please

I need it no link no bot right, please

Answers

Answer: fifths

Step-by-step explanation:

fifths because you would divide the 3 loves with the amount of people there is.

Classify the triangle by side length and angle measurement

equilateral, acute
isosceles, obtuse
isosceles, acute
scalene, obtuse​

Classify the triangle by side length and angle measurementequilateral, acuteisosceles, obtuseisosceles,

Answers

Answer:

this triangle seems to be an isosceles, obtuse triangle

Classify the triangle by side length and angle measurementequilateral, acuteisosceles, obtuseisosceles,

What’s the square root of √125

Answers

Answer: \(5\sqrt 5\)

Step-by-step explanation:

Sol \(\sqrt 125\) = \(\sqrt{25.5}\)

= \(\sqrt{25}\)  x  \(\sqrt{5}\)

\(5 \sqrt{5}\)

Find the Interpret the mean absolute deviation of the data 1/4,5/8,3/8,3/4,1/2

Find the Interpret the mean absolute deviation of the data 1/4,5/8,3/8,3/4,1/2

Answers

The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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What is the internal angle sum of a polygon with 20 sides?

Answers

Answer:

3240 degrees.

Step-by-step explanation:In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon's interior angles is 3240 degrees.

Decide which ONE of the following statements is FALSE.

A) A line contains at least two points
B) Three non-colinear points determine a plane
C) Through any two distinct points there exists exactly one line
D) Any three points lie on a distinct line

Answers

True or False.

A is true, a line has two points which are the two ends.

Answer: Choice D

Any three points lie on a distinct line

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

Explanation:

Let's go through each statement to see which are true, and which are false.

A) True. A line is uniquely defined by two points. In other words, you need 2 points to form a line.B) True. A plane is a flat surface, such as a table top or a piece of paper. The paper is not allowed to bend or curve. The three points cannot all fall on the same line, hence the "non-colinear" condition put in there. If the 3 points were colinear, then infinitely many planes would go through those points. So we make them non-colinear so a unique single plane can be defined. C) True. See choice A above.D) False. While two points form a single line, that third point may or may not be on that line. If the three points form a single line, then we consider the points colinear. If the points don't all fall on the same line, then we say they are non-colinear. For non-colinear points, a triangle forms. If choice D said "any three colinear points lie on a distinct line", then that statement would be true.

Side note: The spelling of "colinear" is sometimes "collinear" with two "L"s, instead of one. I'm not 100% sure which spelling is more acceptable. I've found sources that have used both.

help
I need an answer

helpI need an answer

Answers

The correct option that indicates the quadrant that contains the translation of the shaded figure is the option B

B. III

What is a translation transformation?

A translation is a transformation in which the size, relative position of the points on the pre-image, are preserved but the location of the pre-image changes to obtain the image.

The shape of the shaded figure is an L-shape

The geometric figure in quadrant II and IV are a reflection of the shaded figure, across the y-axis and across the x-axis, respectively which is not a translation transformation.

The geometric figure in quadrant III can be obtained from the shaded figure by a translation 4 units to the left and 5 units downwards, which can be expressed as <-4, -5>, which is a translation transformation, therefore;

The quadrant that contains a translation of the shaded figure is the quadrant III

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A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.

If a single marble is pulled out of the bag, how many outcomes are in the sample space?

Answers

Answer:

10 outcomes

Step-by-step explanation:

The number of outcomes is the number of marbles in the bag since we are taking out one marble

4+2+1+3 = 10

There are 10 outcomes

Answer:

10 Thank you Person above me I knew the answer but I am saying thank you because my cousin is happy that you showed your answer to them and answered for them Have a good day or a good life hopefully life don´t do bad  things in life

Step-by-step explanation:

The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height

Answers

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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how many hundred billions in the number 432,845,979,484

Answers

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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please help me asap!!

please help me asap!!

Answers

Answer:

h=6

Step-by-step explanation:

h/8=12/16

16h=96

h=6

The answer would be h=6
Hope this helps


En la frutería “Todo barato”, 2 kg de tomates cuesta $ 38.00. ¿Cuánto debe de pagar Karla si compra 9 kg de tomates

Answers

Answer: hi

Step-by-step explanation: hi

Sydney has 1 1/5 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 2/5 yard long. How many bows can Sydney make?
Group of answer choices

2 3/5

3

2 1/5

2

Answers

3

Sydney has enough ribbon to make 3 bows

Answer:

3

Step-by-step explanation:

I multiplied 1 1/5 x 2/5 because each bow is made from a piece of ribbon that is 2/5 yards long. 1 1/5 x 2/5 = 12/25 I simplified to get the product of 3.

Help asap!!! (DIFFERENT THAN ALL THE OTHERS!!!) brainliest if correct
Each soccer player has one yellow, one blue, and one white jersey. For the last game of the season, each player could choose which jersey they wanted to wear. The table below shows the percentage of players that wore each color jersey.


Jersey Color Percentage of Players
Yellow 0.45
Blue 0.25
White 0.30


Compare the probabilities of a randomly selected player wearing a certain jersey color and interpret the likelihood. Choose the statement that is true.
The player will be more likely to wear a blue jersey than a yellow jersey because P(Blue) > P(Yellow).
The player will be more likely to wear a white jersey than a yellow jersey because P(White) > P(Yellow).
The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).
The player will be equally likely to wear a yellow jersey or a white jersey because P(Yellow) = P(White).

Answers

Answer:

The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).

Please only answer if you know the answer.

What does FOIL Stand for when multiplying polynomial.

Answers

Answer:

F=First

O=Outer

I=Inner

L=Last

Answer:

F = First,

O = Outer,

I = Inner,

L = Last

Step-by-step explanation:

As x approaches positive infinity, which of the following describes the end behavior for
g(x) = -x^6 + bx^4 + c
a. f(x) approaches c
b. f(x) approaches 0
c. f(x) approaches positive infinity
d. f(x) approachesnegative infinity

Answers

Answer:

c. hope helpful answer to your question

2. You are going to produce tennis shoes
that come in 3 different colors. In order to
decide how many to make in each color,
you conduct a survey. Of the 300 people
you survey, 75 said that they would
purchase the yellow shoes. If you are
going to make 10,000 pairs of shoes, how
many should be yellow?


Please help thank you

Answers

Answer:

Hey there!

\(\frac{75}{300}\)=\(\frac{x}{10000}\)

750000=300x

x=2500

They should make 2500 yellow shoes.

Hope this helps :)

What is the value of the expression shown?


24 − 62





A.-6
B.-12
C.12

Answers

Answer:

None

Step-by-step explanation:

None of the choices are correct
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