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

Gabrielle's age is three times Mikhail's age. The sum of their ages is 20 . What is Mikhail's age?

Answers

Answer:

I think Mikhail's age is 5

The question say Gabrielle's age is 3 times his

so 5 × 3 = 15

15 + 5 = 20

help me with this pls

Answers

Answer:

Yes they both = 125

Step-by-step explanation:

Five swimmers are entered into the competition. Four of the swimmers have had their turns. Their scores are 9.8s, 9.75s, 9.79s, and 9.81s. What score must the last swimmer get in order to win the competition?

Answers

Answer:

We must order these decimals from least to greatest. Then we must determine how the least compares with the winning score.

9.80 -> 3

9.75 -> 1

9.79 -> 2

9.81 -> 4

The least decimal is 9.75. Now we must determine how 9.75 compare with the winning score.

The last swimmer must get a score less than 9.75 s in order to win.

Step-by-step explanation:

Hopes this helps

Answer:

less than or equal to 9.74.

A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. He collects data for 15 randomly selected students and determines the value for s was 0.67.

Answers

The interpretation of the value of s being 0.67 is that: the typical distance between the observed grade points and predicted grade points was about 0.67 points.

The given parameters are:

n = 15s = 0.67

Variable s

In regression, the variable s represents the average distance that the observed values fall from the regression line

The grade points

In this case, we have:

The observed grade points and The predicted grade points

Hence, 0.67 represents the typical distance between the observed grade points and predicted grade points.

Read more about regression at:

https://brainly.com/question/25472374

Oscar has baskets that each contain 25 apples. Each day 2 apples are
eaten from each basket. Oscar has (25 – 2d) apples left afterd days in
one basket. If Oscar has 7 baskets of apples, how many apples are left
after d days?

Answers

Answer:

  175 -14d

Step-by-step explanation:

There will be 7 times as many as in one basket.

 7(25 -2d) = 175 -14d . . . . total apples left

T-y + 53 squared 6 when t = 250 and y = 150

Answers

Answer:

thats the kind of work u have in 7th grade thats sad

Step-by-step explanation:

hellp and u git a braintasic

Answers

Answer:

whats the question??  lol

Step-by-step explanation:

Ayudaaa necesito resolver 2 ejercicios
A) √x+2=x
B) 3+√2x-6=x

Answers

Answer:

A) x=4

B)x=[tex]\sqrt{2}[/tex]+3 or 7.24

Step-by-step explanation:

A is 4 but I’m not sure about b

can anyone help me pls ??

Answers

Answer:

A

Step-by-step explanation:

Volume of a cylinder= πr² *height.height=volume÷πr²height=250÷π(which in this case we are using 3.14)3²height=8.85=A

Write
[tex] \frac{10}{12} [/tex]
in simplest form​

Answers

[tex]\dfrac{10}{12} = \dfrac{10 \times \tfrac 12 }{12 \times \tfrac 12} =\dfrac{5}6[/tex]

Answer:

5/6

Step-by-step explanation:

10 ÷ 2/12 ÷ 2=> 5/6

Conclusion:

Therefore, the simplified form of 10/12 is 5/6.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Can anyone solve and explain part b

Answers

Answer:

Below in bold.

Step-by-step explanation:

b.

If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.

So tan O = BD/16 = 15/8

BD = (16*15)/8

= 2*15

= 30.

So the area of triangle ABC = 16*30

= 480 cm^2.

7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.

Answers

Answer: 49/55

7/11 x 7/15 x 3

49/165 * 3

147/165

49/55

The answer is 49/55!

the given cube has a mass of 173 grams, what is it’s density

Answers

Answer:

I think the density is 4cm.

Hope that helps you.

Step-by-step explanation:

0.12 to the nearest tenth

Answers

Answer:

0.1

Step-by-step explanation:

hope this helps

Answer: 0.1 / 0.10

Step-by-step explanation:

since the 2 is lower than 5 - it turns into 0

hope this helped ! :>

Distance between each pair of points (-6,-4.7) and (-6,4.1)

Answers

Answer:

8.8

Step-by-step explanation:

as X1=X2

we use | Y2-Y1 |

=| 4.1 -(-4.7) |

=| 8.8 |

=8.8

Can a right angle be formed by acute angles?

Answers

Answer:

Yes, 2 or more acute angles can be in a right angle based on the degree.

Step-by-step explanation:

A right angle is 90 degrees so any acute angle would be less than 90 degrees which means that there can be multiple acute angles based on the degrees. There can be 2 or more acute angles based on degrees that lead up to 90 degrees in total.

someone pleeeeease help me

Answers

Answer:

22.4cm

Step-by-step explanation:

The formula for the diagonal is:

[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]

Where:

l is the length (AB, CD)

b is the width (BC, AD)

h is the height (AE, BF, CG, DH)

We know d, l, b and we can calculate h

[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]

We evaluate both sides to ² to remove the square root:

[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]

[tex]625 = 164 + h {}^{2} [/tex]

To find the value of h we have to do the square root, as it is to the ²:

[tex] \sqrt{625 - 124} = h[/tex]

[tex] \sqrt{501} = h = 22.4cm[/tex]

What is 95/18 as a decimal?

Please include an explanation and the correct answer!

I will give brainliest to the best answer!

I need it in the next 5 mins!

Thank you!

Answers

Answer:

5.27777777

repeating 7s forever

rounded to 2 decimal places is:. 5.28

Hey there!

In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)

Here’s the formula

a/b = a ÷ b = [decimal form]

ANSWERING YOUR QUESTION

95/18

= 95 ÷ 18

= 5.277778 ≈ 5.3 or 5.28

Therefore, your answer is: 5.277778

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What proportion of US women have a height greater than 69.5 inches?

Answers

Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5  inches, hence [tex]\mu = 65, \sigma = 2.5[/tex].

The proportion of US women that have a height greater than 69.5 inches is 1 subtracted by the p-value of Z when X = 69.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69.5 - 65}{2.5}[/tex]

[tex]Z = 1.8[/tex]

[tex]Z = 1.8[/tex] has a p-value of 0.9641.

1 - 0.9641 = 0.0359

0.0359 = 3.59% of US women have a height greater than 69.5 inches.

You can learn more about the Normal distribution at https://brainly.com/question/24663213

If the velocity of a car is 45 kilometers per hour west how far can it travel 0.5 hours?

Answers

Answer:

It dosn't matter which direction the car is going, it's going 45 km/hr thus it's going 45/2 in 0.5 hr = 22.5 km

Step-by-step explanation:

I just need the answer to the first question (16) plz thx

A)Evaluate g(0)
B)Find x if g(x)=0
C) domain and range

Answers

Answer:

  a) g(0) = -4

  b) x = -2 or +2 for g(x) = 0

  c) domain: all real numbers; range: y ≥ -4

Step-by-step explanation:

a)

g(0) is the value of the function when x=0. That is where the function crosses the y-axis. g(0) = -4.

__

b)

g(x) = 0 where the graph crosses the x-axis. The x-values there are ...

  x = -2 and x = 2

__

c)

The domain is the horizontal extent of the graph. Here, we assume the graph extends to infinity both in the upward direction and to the left and right. Thus the horizontal extent (domain) is from -∞ to +∞, or "all real numbers."

The point where the graph crosses the y-axis is a minimum. There are no y-values below that point. So, the vertical extent (range) of the graph is from y=-4 to +∞.

  y ≥ -4 . . . . range

I'm really bad at mathematics. It would be nice if anyone could help me out :) thanks​

Answers

no thank you IoI, good luck tho <3

A light post 5 1/5 metres long was set 1 1/2 metres into the ground. What was the length of the post above the ground? Write your answer in its simplest form *

Answers

Answer:

3.7 meters

Step-by-step explanation:

First, convert the fractions into decimals.

5 1/5 = 5.2

1 1/2 = 1.5

Then subtract them

5.2-1.5=3.7 meters!

Which function has a more negative slope?

Answers

Answer:

  A.  Function 1

Step-by-step explanation:

The slope of Function 2 can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -(-2))/(3 -0) = -6/3

__

The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:

  y = mx + b . . . . . . equation with slope m and y-intercept b

The slope of Function 1 is -7/3.

-7/3 is more negative than -6/3, so Function 1 has the more negative slope.

What is the surface area of the rectangular prism below?

Answers

Answer:

is 736 units

Step-by-step explanation:

my explanation is that I got it wrong because of the answer above of me an the right answer was 736 not 706

The surface area of the rectangular prism below with height as 8 units, length as 19 units and breadth as 8 units is A) 736 square units.

The surface area of a rectangular prism is the total area of all the faces of the prism. The rectangular prism below has 6 faces, each of which is a rectangle.

The area of a rectangle is given by:

area = length * breadth

The surface area of the rectangular prism is then given by:

surface area = 2 * (length * breadth + breadth * height + height * length)

Plugging in the values for the length, breadth, and height, we get:

surface area = 2 * (19 * 8 + 8 * 8 + 19 * 8) = 2 * (152 + 64 + 152) = 2 * 368 = 736 square units

Therefore, the surface area of the rectangular prism is A) 736 square units.

Here is a breakdown of the surface area of each of the faces:

Front face: 19 * 8 = 152 square units

Back face: 19 * 8 = 152 square units

Top face: 8 * 8 = 64 square units

Bottom face: 8 * 8 = 64 square units

Left face: 19 * 8 = 152 square units

Right face: 19 * 8 = 152 square units

The total surface area is the sum of the areas of all 6 faces, which is 736 square units.

To learn more about surface area here:

https://brainly.com/question/29298005

#SPJ2

please answer i'll mark brainliest

Answers

Answer:

X=-10 Y=-3

Step-by-step explanation:

need help gotta turn in at midnight​

Answers

Answer:

c.

Step-by-step explanation:

If its isoceles, then LM is equal to LN. This means 3x-2 = 2x+1. 3x minus 2x is x. 2 plus 1 is 3. So x = 3. So it needs to be c or d. since LM and LN are the same answers, go to MN and find the answer. If you siubstitute 3 for x in 5x-2, then you get 13.

if the interest rate is lower than the inflation rate, what happens for those who put money in a savings account.

Answers

Answer: Savers Lose

Step-by-step explanation: I had this question

A line passes through the points (-2, 9) and (1, 3).

Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.

Answers

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

1) Find slope:

[tex]\frac{3-9}{1-(-2)}[/tex] =  [tex]\frac{-6}{3}[/tex] = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

  + 9         + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept

noah does half as many push-ups as joseph. joshua does 3 times as many push-ups as joseph. they complete 324 altogether. How many push-ups does joshua complete?

Answers

Answer:

112

Step-by-step explanation:

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