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

The typical value of homes in Sparta is $139,594. If a home appreciates at 2.1% each year, what will the value be 7 years from now?

Answers

Answer:

161453.307585

Step-by-step explanation:

139,594(1 + 0.021)^7

139,594(1.021)^7

139,594 x 1.1565920282

161453.307585

Constant of proportionality characteristics what are some?

Answers

Answer: The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

select the correct equation of the graph... ​

Answers

Answer:

d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The slope is -1/2 and the y-int is 2.

Which equation best describes a relationship between x and y in the table below?

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

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

y = mx + b , "b" is y-intercept with coordinates (0, b)

(0, 5)

(6, 7)

m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + 5

Explain the difference between a Polynomial and a Monomial, and how do you add/subtract and multiply and factoring them?

Answers

Answer:

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!

Step-by-step explanation:

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!

help me plz asap now I just need answer question in pic

Answers

I was just about to ask this question

Step-by-step explanation:

Im on this question rn, i need help to :(

Answer:  just guess :)

Step-by-step explanation:

Factorise
2х^2 — 3x— 14

Answers

Answer:

(x + 2)(2x - 7)

Step-by-step explanation:

Given

2x² - 3x - 14

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 14 = - 28 and sum = - 3

The factors are - 7 and + 4

Use these factors to split the x- term

2x² + 4x - 7x - 14 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 7(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 7)

Thus

2x² - 3x - 14 = (x + 2)(2x - 7) ← in factored form

How do I solve this and check all the solutions?

Answers

Answer:

it is -6

Step-by-step explanation:

PLEASE HURRY !!!! WILL MARK BRAINLIEST !!!!
In the triangular prism shown below, which planes intersect? Select all that apply.
FGI and HIJ
EGH and HIJ
HIJ and EFG
EGH and EFG

Answers

The answer is EGH and EFG

Answer:

FGI and HIJ,EGH and HIJ, and EGH and EFG

Step-by-step explanation:

To answer this, you must find if the planes share a common side

just go down the list and you will see that all of them except HIJ and EFG share a common side so they intersect

Evaluate the expression 2p - (p + 3) + 3 for p = 6.​

Answers

Answer:

12 - (6 + 3) + 3=6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

6+3=9 2X6=12 12-9=3

Clouds are formed when millions of drops of water become suspended in the air. Which of the following is a step in the process of cloud formation

Answers

Answer:

i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer!!!!!

but please have a beautiful weekend!! :)

Step-by-step explanation:

Clouds thicken as more water vapor condenses and coalesces, and precipitation finally follows. The step is condensation.

What is condensation?

Condensation is the transformation of airborne water vapor into liquid water. To put it another way, water vapor is the water in the air.

Clouds are formed when millions of drops of water become suspended in the air.

Then the step in the process of cloud formation will be

Water vapor is one of the elements in the atmosphere. Air contains water vapor at all times.

Clouds develop when water vapor combines with dust and smoke particles and condenses around them.

Clouds thicken as more water vapor condenses and coalesces, and precipitation finally follows.

More about the condensation link is given below.

https://brainly.com/question/15563071

#SPJ2

the equation of line L1 is y=2x+5
the equation of the line L2 is 2y-4x=6
show that these 2 lines are parallel.

Answers

Step-by-step explanation:

They have the same gradients

1/5 part of pole is inside the mud, 2/3 part is inside the water and the remaining length of 10m is above the surface of the water. Find the length of the pole.​

Answers

Answer:

75 m

Step-by-step explanation:

Let the length of the pole to be : x m

1/5 of x is inside the mud, this will be : 1/5 x

2/3 of x in inside water , this will be : 2/3 x

10 m remaining is above the water surface. Finding the fraction that remains will follow;

x - {1/5 x + 2/3x } = 10

x-13/15 x =10

2/15 x = 10

x= 75 m

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

5 and 6             Your Answer is (5,8)

Hope It Helped :)

Are the statements about the graph of function f true or false?

Answers

Answer:

Step-by-step explanation:

1). For a point (0, -15),

   Here x = 0, so the piece of function that applies,

   f(x) = 4x - 15 (Since, x = 0 lies in the range  -2 ≤ x < 4)

         = 4(0) - 15

         = -15

   True.

2). Since, f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex] for x < -2

                     = 4x - 15 for -2 ≤ x < 4

    Which shows a gap between these graphs.

    Therefore, graph has a discontinuity at x = -2

    True.

3). For x > 4,

   f(x) = [tex]3^{x-4}[/tex]

   For every input value of x in the interval (4, ∞), output values of the function will be increasing.

  So this option is TRUE.

4). In the interval (-12, -2),

   Function to be followed → f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex]

   Graph of the given quadratic function opens downwards (Since, coefficient of x² is negative).

   In this graph value of function first increases then decreases.

   So the answer is FALSE.

5). Since, input values of the function 'f' varies from (-∞, ∞)

   Therefore, domain of the function will be (-∞, ∞)

   TRUE.    

Answer:

-True

-True

-True

-False

-False

Step-by-step explanation:

Just took the test and got the same question, i answered the same as the guy above and it is wrong, this is the correct answer.

Make sure your questions are listed in the same order before submitting your answer.

True or false Every relation that is linear, must be a function?

Answers

Answer: False

Step-by-step explanation: Let's review the idea of graphs.

For a graph to be linear, it must be a straight line.

To determine whether a given graph is a function,

we use the vertical line test.

The vertical line test tells us that if a vertical line is drawn on a graph,

and hits the graph in more than one place, the graph is not a function.

In fact, this definition tells us the only type of linear graph

that will fail the vertical line test, and that's a vertical line.

Any vertical line that we draw will be both linear and not a function.

One possible graph could be x = 2.

Any vertical line will fit this description.

evaluate 8+t to the power of 3 when t equals 2

Answers

Answer:

It's 994

Step-by-step explanation:

There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway? A. 0.475 inch B. 47.5 inches C. 475 inches D. 4,750 inches

Answers

Answer:

C. 475 inches

Step-by-step explanation:

Step one:

given

the number of tiles is 100 in total

the dimension of the tiles is 4.75 inches wide

Step two:

Required

We want to find the length that 100 tiles will cover

Hence the length will be 4.75*100

=475inches

Therefore the option C is correct

PPPPPPLLLLLLLLLLLLZZZZZZZZZZZZ
It's easy!!!

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I had this question

For f(x) = −3x − 13, find f(x) when x = –1.

Answers

Answer:

f(-1) = -10

Step-by-step explanation:

Given

f(x) = −3x − 13,

To find f(x) when x = –1 substitute x with its value in the equation:

f(-1) = (-3)(-1) - 13 = 3 - 13 = -10f(-1) = -10

P is a odd number
Explain why p^2+1 is always even

Answers

Answer/Step-by-step explanation:

Whenever a negative number is squared it is equal to the expression -a x -a = +a. In this expression any negative number multiplied an even amount of time with all numbers being negative will be a positive product.

Answer:

P^2+1 even because

Step-by-step explanation:

P is an odd number

Any odd number squared is odd

Therefore,P^2+1 is odd

Any odd number= because odd odd =even

Be=P^2+1 is odd odd =even

... P^2+1 = even

Andrew had a collection of 300 baseball cards at the beginning of the summer.

After the summer, Andrew had traded some of his baseball cards and now he has only 213 baseball cards.

What is the percent decrease of his baseball card collection?

Answers

Answer:

29%

Step-by-step explanation:

213/300 x 100 = 71%

100 - 71 = 29%

Solve for x. x + 47 = -23

Answers

x+47=-23

move +47 to the other side to get x by itself

sign changes from +47 to -47

x+47-47=-23-47

x=-23-47

x=-70

answer: x=-70

Answer:

-70

Step-by-step explanation:

x = -23 - 47  

x = -70

-70 + 47 = -23

The measures of the angles of a triangle are shown in the figure below. Solve for X

Answers

Answer:

34

Step-by-step explanation:

Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle

Answer:

34

Step-by-step explanation:

103+43=146

a triangle always adds up to 180 degrees

180-146=34

so that's the workings hope the answers right

Ms. Yost has 20 boxes of markers. Next year, she plans to buy 420% more boxes. How many boxes will she have in all?

Answers

Answer:

Ms. Yost will have exactly 104 boxes of markers.

Step-by-step explanation:

We are given an initial value (20 markers) and an increase of that amount (420%). We can convert the percentage to a decimal and then multiply this by the initial value of markers.

We divide the percentage by 100 in order to find the decimal form of it. If we wanted to find the percentage form of a decimal, we would multiply that value by 100 instead of dividing by 100.

[tex]\frac{420\%}{100}=4.20\\\\20 \times 4.20 = \bold{84 \ boxes \ of \ markers}[/tex]

Therefore, Ms. Yost will have 84 boxes of markers in total after increasing her original 20 boxes by 420%.

Finally, because she increased her total by 84 boxes, we need to add the initial amount as well.

[tex]20 + 84 = 104[/tex]

As a final result, Ms. Yost will have exactly 104 boxes of markers.

Answer: She will have 104 boxes in all.

Step-by-step explanation:

To find how many boxes she will have in all, first multiply 420% by 20 then add the obtained number to 20 which is the current boxes of markers that she has.  

420% * 20  

4.2 * 20  = 84

 

84 + 20 = 104

PLEASE HELP 15 POINTS N BRAINLIEST

Answers

Answer:

OK don't worry we will help you get 15 points

a) Find slope (y2-y1)/(x2-x1)
Pick any two points: (5, 500), (10, 100)
(100-500)/(10-5) = -400/5 = -80
Y = -80x + h
Plot in the points
500 = -80(5) + h
500 = -400 + h
h = 900
b) Y = -80x + 900
(I have to go. I’m sure you can do the rest on your on )

The bottom one Staples has 9 cases of crayons with 1452 boxes in each case
Office Depot has 6 cases of crayons with 504 boxes in each cate
How many total boxes of crayons do both stores hove?

Answers

Answer:

d. 16,092

Step-by-step explanation:

Staples: 1452 x 9 = 13,068

Office Depot: 504 x 6 = 3,024

13,068 + 3,024 = 16,092

A basket has 15 pieces of fruit. Of these, 5 are apples, 2 are oranges and the rest are
pears. If you close your eyes and take one piece of fruit, what is the probability it will
be an orange or a pear?


Answers

Answer:

60%

Step-by-step explanation:

the awnser is right

Answer:

pear

Step-by-step explanation:

cuz ratio is 8:5:2

your welcome

Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping.

Answers

Their bills will never be the same because the toppings cost the same.

Question must probably wants to know the number of toppings it would take for their bills to be equal.

Assume the number of toppings is x, Dennis's bill will be:

= Cost of Pizza + Cost of toppings x number of toppings

= 16.50 + 2x

Sheng's bill will be:

= 13.25 + 2x

Equate their bills to find the number of toppings that would equate their costs:

16.50 + 2x = 13.25 + 2x

16.50 - 13.25 ≠ 2x - 2x

3.25 ≠ 0

In conclusion, their bill will never be the same because the toppings are the same price.

Find out more at https://brainly.com/question/5607279.

One vertex of a triangle is located at (0,5) on a
coordinate grid. After a rotation, the vertex is
located at (5,0).
Which rotation could have taken place?
A rotation of 90° clockwise about the origin
B rotation of 180° clockwise about the origin
C rotation of 90° counterclockwise about the origin
D rotation of 180° counterclockwise about the origin
Ο Α
OB
Ос
OD

Answers

Answer:

A

Step-by-step explanation:

90 degrees clockwise

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