A triangle has exactly three sides. Prove the conditional by proving the contrapositive. If a polygon has more than three sides, then it is not a triangle. Contrapositive: If _____, then _____. Since ______, the contrapositive is _____, the original statement must be _____.

Answers

Answer 1

Answer:

Contrapositive: if a polygon does not have more than 3 sides, then it is a triangle. Since it is a true statement, the contrapositive is a true statement, the original statement must be a true statement.

Step-by-step explanation:

Original statement: if a polygon has more than three sides, then it is not a triangle.

Let P = a polygon has more than three sides

Let Q = it is not a triangle

Conditional statement: If P, then Q

Contrapositive statement: if not P, then not Q.

If a conditional statement is true, then the contrapositive is true.

If a contrapositive statement is true, then the contrapositive is true


Related Questions

In ABC, angle A = 30 degree , angle b=45 degree find the angle c​

Answers

Answer:

95 degrees

Step-by-step explanation:

in a triangle angles add up to 180 degrees.

a + b + c = 180

30 + 45 + c = 180

85 + c = 180

c= 180 - 85

c= 95 degrees

HELP Please!!!!!!! Asap

Answers

Answer:

bottom right is correct

Step-by-step explanation:

Factor completely 4x5 − 20x4 − 36x3.
4(x5 − 5x4 − 9x3)
x3(4x2 − 20x − 36)
x2 − 5x − 9
4x3(x2 − 5x − 9)

Answers

Answer:

THE OTHER PERSON IS WRONG IT IS D/4x3(x2 − 5x − 9)

! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !

Step-by-step explanation:

Which expression uses the associative property to make it easier to evaluate 8(1\2 · 1\3)? HELP PLZZZZ ​

Answers

Answer:

(8x1/2)1/3

Step-by-step explanation:

i took the quiz

Is this a negative or positive?

Answers

Answer:

Positive.

Step-by-step explanation:

Two negative numbers multiplied is a positive number.

FYI, (-5)(-4) is 20.

Hope this helped!

Answer:

positive

Step-by-step explanation:

[ (-) × (-) = +]

Aaron turned on his air conditioning and the temperature in his apartment decreased 6 degrees. Write an integer to represent the change in temperature.

Answers

Answer:

c + 6 degrees= x

Step-by-step explanation:

NEED HELP NOW. WILL GIVE BRAINLIEST

Answers

Answer: y = -2x² + 920x - 84168

suppose: the equation of the parabola is y = ax² + bx + c

because the parabola passes through (126,0); (134,3200); (334,0)

=> we have the equations:

126².a + 126b + c = 0

134².a + 134b + c = 3200

334². a + 334b + c = 0

⇒ a = -2

    b = 920

    c = -84168

=>  the equation of the parabola is y = -2x² + 920x - 84168

Step-by-step explanation:

Answer:

yea listen to the other person

Step-by-step explanation:

Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per ride is $.50. Write and solve a linear equation to find out how many rides he can go on.

Answers

Answer:

Evan can go on 30 rides   (based on the assumption that Evan's parent gave him $20)

Step-by-step explanation:

Given that:

The admission to the fair  = $5

The cost per ride = $0.50

Let assume that the number of ride Evan can go = x

So if The cost per ride = $0.50

x ride = $0.50x

We are not told that he is given money by anybody, but let assume his parent gave him $20,

Then, if Evan pays $5 for admission into the fair. Then he will have $(20-5) = $15 left

The relation expressing how many rides Evan can go is:

0.5x = 15

Since the cost per ride = $0.5

x rides cost $15/0.5

x = 15/0.5

x = 30

Hence, Evan can go on 30 rides

There are two types of cellular phones, handheld phones (H)that you carry and monile phones (M) that are mounted invehicles. Phone calls can be classified by the travelingspeed of the user as fast (F) or slow (W). The probabilitymodel for this experiment has the following information: P[F] =0.5, P[HF] = 0.2, P[MW] = 0.1. What is the sample space ofthe experiment? Calculate the followng probabilites:a) P[W]b) P[MF]c) P[H]

Answers

Answer:

Explained below.

Step-by-step explanation:

(1)

Sample space is a set of all possible outcomes of an experiment.

The sample space in this case is:

S = {HF, HW, MF, MW}

(a)

Compute the value of P (W) as follows:

P (F) + P (W) = 1

P (W) = 1 - P (F)

P (W) = 1 - 0.50

P (W) = 0.50

(b)

Compute the value of P (MF) as follows:

P (HF) + P (MF) = P (F)

P (MF) = P (F) - P (HF)

P (MF) = 0.50 - 0.20

P (MF) = 0.30

(c)

Compute the value of P (M) as follows:

P (M) = P (MF) + P (MW)

P (M) = 0.30 + 0.10

P (M) = 0.40

Compute the value of P (H) as follows:

P (H) + P (M) = 1

P (H) = 1 - P (M)

P (H) = 1 - 0.40

P (H) = 0.60

Please Help me. Thanks​

Answers

y = 3/2x + 3

I hope this helps!

four ninths plus nine eighteenths :]

Answers

Answer:  17/18

In words, this is seventeen eighteenths

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

Work Shown:

4/9 + 9/18

8/18 + 9/18 ... see note below

(8+9)/18

17/18

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

note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.

The diagram below shows a visual representation of why 4/9 = 8/18.

In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.

Answer: its 17/18

Step-by-step explanation:

hope it help's ヾ(•ω•`)o

In a newspaper, it was reported that yearly robberies in Springfield were down 25% to 78 in 2013 from 2012. How many robberies were there in Springfield in 2012?

Answers

There were 30% in 2012 to 2013

Nicolas sold 86 newspapers on Monday 79 on Tuesday and 68 on Wednesday and 83 on Friday how many newspapers did Nicholas sell on Thursday if he sold a total of 391 in five days?

Define a variable, write an equation, then solve.

Answers

Answer:

75

Step-by-step explanation:

86+79+68+83=316

391-316=75

Answer:

75 newspapers

Step-by-step explanation:

391 is equal to the combination of all the newspapers Nicholas sold over those 5 days. This can be written as an equation:

391 = 86 + 79 + 68 + 83 + x

x represents the number of newspapers Nicholas sold on Thursday.

Now let's solve for x:

First, combine like terms:

391 = 316 + x

now subtract 316 from both sides to isolate x:

391 - 316 = 316 - 316 + x

75 = x

Nicholas sold 75 newspapers on Thursday.

A scale John on the map shows that 1 inch represents 20 miles If 2 cities are 2.5" apart On the map what is the distance between them and real life

Answers

Answer:

50 miles

Step-by-step explanation:

If one inch is 20 miles do 2 times 20 you get 40. it’s .5 so half and half of 20 is ten, add it up and you get 50.

Answer:

50 miles

Step-by-step explanation:

Using the table from number seven, if an orphaned pet is picked at random what is the probability that it is a cat?
Please answer ASAP I need to pass this class

Answers

Answer:

22.9%

Step-by-step explanation:

The total at the bottom is 22.9%

i need the question and help understand. i got the y=2x+ part but other than that i don’t know what to but after the +!! i need help

Answers

Answer:

 y = 2x - 2

Step-by-step explanation:

Slope-intercept form is y = mx + b

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

(1, 0)

(2, 2)

(3, 4)

(4, 6)

m = [tex]\frac{2-0}{2-1}[/tex] = 2

y = 2( x - 1 )

y = 2x - 2

What is the mean of the data 25, 27, 24, 26, 40 and what is the median

Answers

Answer:

mean is = 28.4

median is = 26

Step-by-step explanation:

mean- average

( 25+ 27+ 24+ 26+ 40 )/5 = 28.4

median- middle

25, 27, 24, 26, 40

{ rearrange }

24, 25, 26, 27, 40

the middle number is 26

In 1980, the population of a town was 2000 people. The exponential function P(t)=2000(1.05)t models the population of the town since 1980. Which statements are true regarding the population of the town? Select THREE that apply.

A.

The population has increased by 5% each year since 1980.

B.

The population has increased by 105% each year since 1980.

C.

The population has increased by 5 people each year since 1980.

D.

Each year since 1980, the population is 105% of the population of the previous year.

E.

Each year since 1980, the population is 1.05 times the population of the previous year.

Answers

Answer:

B. The population has increased by 105% each year since 1980.

D. Each year since 1980, the population is 105% of the population of the previous year.

E. Each year since 1980, the population is 1.05 times the population of the previous year.

Step-by-step explanation:

From the question, we are given the exponential function:

The exponential function P(t)=2000(1.05)^t models the population of the town since 1980.

Exponential growth rate =

P(t) = P(1 + r)^t

Where r = growth rate in percentage

P(t) = Size of the population after t years

t = time in years

Hence,

From the formula above, we can say =

1 + r = 1.05

r = 1.05 - 1

r = 0.05

Converting to percentage = 0.05 × 100 = 5%

1.05 can also converted to percentage and this = 1.05 × 100 = 105 %

The population has increased by 105% each year since 1980.

Hence, Options, B, D and E is correct

Jonathan worked at McDonalds 20 hours a week and earned $195. Use the equation 20h = 195 to find Jonathan's hourly wage. *

Answers

Answer:   9.75

Explanation:

To find your answer, you need to divide 195 by 20, which is 9.75

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

A

Step-by-step explanation:

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

B.

Reason

because 0.296 is non-repeating and non-terminating.,

and , 0.98888... is repeating and non-terminating.

And on converting both of these in p/q form, they will be rational number.

How do I solve? How do I solve? How do I solve?

Answers

Answer: yes

Step-by-step explanation:

Answer:

Yes, he has enough money to get his things.

Step-by-step explanation:

3 (the amount of grass seed bags he's buying)  x 23 (how many dollars it costs) = 69

3 (the amount of flower pots he's buying) x 15 (how many dollars it costs) = 45

69 + 45 = 114

He will have $6 left over his purchases.

please tell me the answer

Answers

Answer:

It shifts left

I hope this helps you with your algebra

to my calculations the anwser is it shifts left

Write an equation for this $13 more than twice the cost of a video game is $67. Find the cost of the video game.

Answers

Answer:

13+2x=67 soooooo x = 27 so the video game is $27 and thats the equation

Step-by-step explanation:

what is the vaule 7 to the 6 power

Answers

Answer:

117,649

Step-by-step explanation:

Good luck! <3

Answer:

7 to the 6th power is conventionally written as 76, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 7^6.

76 stands for the mathematical operation exponentiation of seven by the power of six.

As the exponent is a positive integer, exponentiation means a repeated multiplication:

The exponent of the number 7, 6, also called index or power, denotes how many times to multiply the base (7).

Thus, we can answer what is 7 to the 6th power as

7 to the power of 6 = 76 = 117649.

ABC = DEF. Find the measure of the given angles.

A=×+19
D=2x

x = ​

Answers

What is the measure of the angle

what is the answer to B use surds!! ⚠️

Answers

Answer:

look below

Step-by-step explanation:

a.) √5

b.)√2/2

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{3} }{\sqrt{6} }[/tex]

To rationalise the denominator, multiply numerator/ denominator by [tex]\sqrt{6}[/tex]

= [tex]\frac{\sqrt{3} }{\sqrt{6} }[/tex] × [tex]\frac{\sqrt{6} }{\sqrt{6} }[/tex]

= [tex]\frac{\sqrt{18} }{6}[/tex]

= [tex]\frac{3\sqrt{2} }{6}[/tex]

= [tex]\frac{\sqrt{2} }{2}[/tex]

What function graph has the greatest slope?
A. G(x)
B. F(x)
C. J(x)
D. H(x)

Answers

Answer:

Its either C or A

I qould defenetly go with A though..

u=k
/a , for a
i need help on finding a in that question

Answers

Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

The graph of which of the following equations contains the points (2,3) and (3,2)

Answers

Answer:

[tex] y = 5 - x [/tex]

Step-by-step explanation:

The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.

Slope of the line running through (2, 3) and (3, 2):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 3}{3 - 2} = \frac{-1}{1} = -1 [/tex].

Slope (m) = -1.

The equation, [tex] y = 5 - x [/tex] , is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is [tex] y = 5 - x [/tex].

What postulate is this SSS, ASA, AAS, or SAS? Will give brainliest to the correct answer, no trolls!!!

Answers

Answer:

SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...

SAS (side, angle, side) ...

ASA (angle, side, angle) ...

AAS (angle, angle, side) ...

HL (hypotenuse, leg)

Step-by-step explanation:

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