rewrite the two statements as a single biconditional statement: A rectangle is a quadrilateral that has all perpendicular sides. If all sides of a quadrilateral are perpendicular, then it is a rectangle.
Your friend claims that only true conditional statements have a true contrapositive. is your friend correct? explain your reasoning

Answers

Answer 1

A) The single biconditional statement of the given statement is;

A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) The statement made by your friend about only true conditional statements having a true contrapositive is; True

A biconditional statement is one that combines 2 conditional statements that are related to one another. An example of a biconditional statement is;

The polygon has only four sides if and only if the polygon is a quadrilateral.

That biconditional statement has combined two individual conditional statements.

Now, to our question, we are given two statements;

Statement 1; A rectangle is a quadrilateral that has all perpendicular sides.

Statement 2; If all sides of a quadrilateral are perpendicular, then it is a rectangle.

Combining both statements means that the biconditional statement will be; A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) A contrapositive is when we switch and negate the hypothesis and the conclusion of a conditional statement. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

Thus, if the conditional statement is true, then we will have a true contrapositive.

Read more about contrapositives at; https://brainly.com/question/12276922


Related Questions

Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x 0. 3 0. 9 1. 0 1. 5.

Answers

Using exponential functions, it is found that a = 1.5 would cause the function to stretch.

The exponential function given is:

[tex]y = \left(\frac{1}{3}\right)^x[/tex]

If it is multiplied by a such that |a| < 1, it is compressed.If it is multiplied by a such that |a| > 1, it is stretched.

Hence, a = 1.5 would cause the function to stretch.

For more on exponential functions, you can check https://brainly.com/question/17403806

Answer:

1.5 is the value of a in the exponential function below would cause the function to stretch

calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interest then the simple interest?​

Answers

Answer:

Simple: 6000

Compound: 6050

Difference: 50

Step-by-step explanation:

Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get

A = 5000(1+10% * 2)

convert 10% to a decimal by dividing by 100 and plug that in

10% = 0.1

5000(1+0.1*2) = 5000(1.2) = A = 6000

Compound interest formula: A = P(1+r)^t

Plug our values in

5000(1+0.1)^2 = 6050

Difference = 6050 - 6000 = 50

What is the number of Santa’s reindeer (without Rudolph!) times the number of
golden rings in the song, “The Twelve Days of Christmas”?

Answers

Can you answer for this question is 8x5=40 because Santa has eight room reindeer without Rudolph and in the 12 days of Christmas song there’s five golden rings

can anyone help me pls

Answers

Answer:

88 degrees, 44 degrees

Step-by-step explanation:

The total of angles in a triangle is 180 degrees

so, 48+x+x-44=180

48-44+x+x=180

4+2x=180

-4 on both sides

2x=176

x=88

What is the volume of this container?

Answers

the answer is 1,875 cm^3 because if you multiply the length of each side of the large cube and subtract the volume of the smaller cube, you’ll get the total volume
1,875 is the answer

tim and sue share a small pizza. tim eats 2/3 o the pizza

Answers

Answer:

Sue eats 1/3 of the pizza

Step-by-step explanation:

Answer:

Sue eats 1/3 of the pizza

Step-by-step explanation:

3/3 - 2/3 = 1/3

5 The average low temperature for one winter day is 10°F.
The low temperature on that day was actually -2°F.
Write a subtraction problem to represent the
situation. Then write the subtraction problem as
an addition problem.


Answers

Answer:

10 - (-2) = 12, 10 + 2 = 12

Step-by-step explanation:

10 - (-2) = 12

10 + 2 = 12

ANSWER ASAP WILL MARK BRAINLIEST

Answers

Answer:

how many

Step-by-step explanation:

How do you turn 48% in to a decimal?​

Answers

Divide 48 by 100 to get it into decimal form, which is 48.

Answer:

0.48

Step-by-step explanation:

Since a percent is ALWAYS a part of the number 1, this makes it to where you must multiply by 100 in order to convert a percent into a decimal. In this case, 48%(100) is 0.48.

∠HOA appears to be a right angle.
true or false

Answers

Answer:

False!

Step-by-step explanation:

Right angles are 90 degrees, for example EOA appears to be closer to a right angle but not HOA

What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given

Answers

Answer:

18 - 2x = 4x (Given)18 = 6x (Addtion property of equality)3 = x (Division property of equality)

Step-by-step explanation:

Given - This is the start of the proof. Use this for the information given from the start.

Addition property of equality - Use this when adding terms on both sides of an equation.

Division property of equality - Use this when dividing terms on both sides of an equation.

Complete the ordered pair so that it is a solution of 2/3 x+ y - 1 = 0.

(-6,?)


3

4

5​

Answers

Answer:

i think y = 5 is answer

Step-by-step explanation:

good luck

Answer:

(-6, 5).

Step-by-step explanation:

2/3x+y-1=0

2/3(-6)+y-1=0

-12/3+y-1=0

-4+y-1=0

-4-1+y=0

-5+y=0

y=0-(-5)

y=0+5

y=5

help please anybody hmm​

Answers

Answer:

94.6-18.8=75.8

75.8 is the answer

Step-by-step explanation:

Hope this helps

May i get braineist pls?

if f(x)=-x+2 find f(6)

Answers

Answer:

Answer: -4

Step-by-step explanation:

[tex]{ \rm{f(x) = - x + 2}} \\ \\ { \rm{f(6) = - (6) + 2}} \\ \\ { \rm{f(6) = - 4}}[/tex]

The value for f(6) = -4

What is the function of f(x)?

The function of f(x) is set to a term such that for every value of x, there is a unique value for it on the graph.

From the given information, we are given a function

f(x) = -x + 2

To find f(6), we replace x with 6.

f(6) = -6 + 2f(6) = -4

Learn more about function of f(x) here:

https://brainly.com/question/544653

What is the measure of the missing angle in this triangle
Yes

Answers

Answer:

The measure of the missing angle is 25 degrees.

Answer = 25

Sum of angles in a triangle is 180.

To find the missing angle:

180 - total of other given angles = missing angle

Total of other given angles = 155

180 - 155 = 25

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is
53. What is the height of the tree rounded up to the nearest hundredth.

Answers

Answer:

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot.

I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since I'm finding the foot of the tree

Step-by-step explanation:

.

I'll mark you brainlest if you answer this correctly please help

Answers

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I need 3 more brainiest can anyone help a girl out plz

Answers

Answer:

:/

Step-by-step explanation:

Answer:

Sure

Step-by-step explanation:

What is equivalent to -2/5x=-4
A. -20
B. 1
C. -10
D. -8
E. X= -8/5

Answers

Answer:

10

Step-by-step explanation:

Multiply each side by the reciprocal, -5/2

x = -4 * -5/2

x = 20/2

x = 10

Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail

Answers

Calculating percent in easy, if you turn in into fractions like 20% is 20/100 or 2/10 if you look at it that way it should help you understand it

Answer:

45 is 150% of 30.

Step-by-step explanation:

To find what percent of 30 is 45 first we must turn it into a fraction and simplify.

fraction form: 45/30

simplified fraction form: 3/2

now to find percent you have to put a number over one hundred.

3/2 = ?/100

Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.

Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150

so now we put the new numerator and denominator together and get 150/100

The answer is 150%

Х
0
1
9
5
29
Y
4
What is the slope of the line?
A 3
B 2
C 5
U UN W
D

Answers

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 29) ← 2 ordered pairs from the table

m = [tex]\frac{29-4}{5-0}[/tex] = [tex]\frac{25}{5}[/tex] = 5 → C

If x=9 and y=- -2 evaluate the following expression:

x+y

Answers

Answer:

x + y = 11

Step-by-step explanation:

You would need to substitute the numbers into the expression.

Evaluate means that we need to work out what the answer would be.

x + y is equivalent to 9 - - 2.

- - is equivalent to +.

Therefore you would do 9 + 2, which equals 11.

Hope this helps :)

given a isotope with a 3 charge, a mass number of 28, and an atomic number of 13, what are:

Answers

Answer: The element described is aluminum.

Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger

Answers

Answer:

c if am wrong please correct me

HELP!! I desperately need help!! I would appreciate if you could show work please!!!

Answers

Answer:

a) 137.9°

b) 12.2° (please refer to explanation because I didn't know what to round to)

Step-by-step explanation:

1a) A supplementary angle will equal 180°, so you must subtract 42.1 from 180

180-42.1 = 137.9

1b) A complementary angle will equal 90°, so you need to use the expression given and add an x for the other part of 90°

8x-20+x = 90

9x-20=90

9x=110

x=12.2

Find the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

Angle Bisector Theorem:  PS / PQ = RS / QR

24/14 = x/7

cross-multiply:

14x = 168

x = 12

someone please help me with this question, pleaseeeee :/


tyyyyy!

Answers

Answer:

4x+9y-27=0

compare and fill em

hope it helps

Answer:

2

Step-by-step explanation:

y=1y

x=1x

so the answer will be 2.

may be

hope to help!!!

I REALLY NEED HELP PLEASE!!! ILL GIVE BRAINIEST!!! IT ENDS TOMORROW I NEED HELP

Kiley and her parents traveled to visit her grandmother. They drove 24.3 miles from their house to the airport in 1/2 hour. At the airport they exited the car and walked for 3/4 hour to the waiting area by the gate to board their plane. Their walk covered 1.2 miles. From the waiting area, they walked another 0.1 mile to board the plane. The plane left the gate 45 minutes after they arrived at the waiting area. The plane flew 346 miles in 2 1/4 hours. After the plane landed, Kiley and her parents walked for 30 minutes, covering 1.1 miles, before they found a can. It was a 15-minute cab ride to get to Kiley's grandmother's house which was 12.3 miles away.

Answer the flowing questions about Kiley's trip. All questions are written in terms of an average rate. Assume the average rate includes the time that Kiley is at rest. (that is, not moving)

In this task you will write the ratio of miles to hours for each leg of Kiley's trip. You will then, express the ratio as a decimal number. Next you will find the unit rate in miles per hour for each leg of the trip. If your unit rate includes a repeating decimal number, you must include which digits repeat (for example write 0.3_ when the 3 repeats) A description of each leg is listed below in parts A-F

Part A:

A car ride from Kiley's house to the airport

Part B:

At the airport, the walk from the car to the waiting area by the gate

Part C:

The left from the waiting area to the airplanes takeoff

Part D:
the airplane ride

Part E:
The walk from the airport to the cab

Part F:

The cab ride ​

Answers

Answer:

I A

Step-by-step explanation:

A is the answer sorry I cant conform

Answer:

[tex][tex]\red{\rule{100pt}{100000pt}}[/tex][/tex]

This is my question pls help

Answers

Answer:

a = 15

Step-by-step explanation:

Substitute b = 12 , a = 9 into the equation

12 = [tex]\sqrt{a^2-9^2}[/tex]

12 = [tex]\sqrt{a^2-81}[/tex] ← square both sides

144 = a² - 81 ( add 81 to both sides )

225 = a² ( take square root of both sides )

± [tex]\sqrt{225}[/tex] = a , then

a = ± 15

a > 0 , so a = 15

Can someone help me with this problem please!

Answers

Answer:

can you send in a better photo i cannot see it clearly

Step-by-step explanation:

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