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

There 7 ducklings .they sleep in 1 large nest .write and solve an equation that shows how many ducklings sleep in the nest

Answers

Answer:

7 ÷ 1 = 7

Step-by-step explanation:

Answer:

I think

Step-by-step explanation:

I think you are subtracting

Can someone plz help me?

Answers

Answer:

d

Step-by-step explanation:

I got it right on my quiz

Classify the triangle based on the side lengths 7. 15 and 21​

Answers

Triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sides of triangle are 7, 15 and 21.

Let the largest angle be θ.

cosθ=7²+15²-21²/2×7×15

=-167/210

Since arc cos(-167/210)=142.68 degrees.

θ=142.68 degrees.

Which means θ>90 degrees.

So its a obtuse triangle.

7+15=22>21

21-7=14<15

So those angles can make a obtuse triangle.

Hence, triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

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the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price

can someone please awnser this right away

Answers

Answer:

[tex]25 \times \frac{60}{100} = 15[/tex]

Step-by-step explanation:

Multiply 25 by 60%

Can someone please help 25 points for this one

Answers

Answer:

im not sureee

Step-by-step explanation:

srry

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

Answers

Answer:

Solve this equation. Enter your answer in the box. 75 â€"" 3. 5y â€"" 4y = 4y 6.

Solve the equation 3(2x + 2) = 3x - 15.
Ox=-7
17
Ox=-
Ox=3
Ox=7

Answers

Simplify:

6x + 6 = 3x - 15

Now use all solutions

6(7) + 6 = 3(7) - 15

42 + 6 = 21 - 15

Nearly, you can tell it doesn't work.

6(-7) + 6 = 3(-7) - 15

-42 + 6 = -21 - 15

-36 = -36

So, -7 is x.

Answer:

[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]

[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]

[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]

[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]

Mr. Cooper determined functions to represent his distance traveled in miles, d, in terms of the number of hours, 1, of driving on two types of
highways. He found that on a state highway the function was d = 45t, and on a U.S. highway, the function was d = 601.
If Mr. Cooper drove for 1.5 hours on each type of highway, how much farther did he drive on the U.S. highway than on the state highway?
Enter the answer in the box.

Answers

Answer:

105t1

Step-by-step explanation:

por qué los sumas te da

after riding a bike 9 miles,Alex’s total time was 40 1/2 minutes. Find his time per mile.

Answers

40.5/9= 4.5 minutes per mile.

The price of petrol increased by 8% to Rs 540 per litre. Find the old price.​

Answers

Answer:

The original price is Rs. 50

Step-by-step explanation:

Let the original price be Rs.x

x+8% of x=54

x+(8/100)*x=54

x+8x/100=54

(100x+8x)/100=54

108x/100=54

x=54* 100/108

x=50.

The original price is Rs. 50

Answer:

Rs 500 per liter

Step-by-step explanation:

Let the initial price be x.

We have:

x + 8% of x = 540

Rewrite it as below and solve for x:

x + 0.08x = 5401.08x = 540x = 540/1.08x = 500

I need help with this question ASAP!

Answers

the answer is c because 3/6 simplified is equal to 1/2

9=[tex]9=\frac{2-4t}{t+3}[/tex]

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's Solve for t ~

➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]

➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]

➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]

➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]

➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]

➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]

Answer:

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

We cross multiply:

q(t + 3) = 2 - 4t

qt + 3q = 2 - 4t

qt + 4t = 2 - 3q

t(q + 4) = 2 - 3q

t = (2 - 3q)/(q + 4).

fill in blanks plz hurry due tmrw

5/7of ... is 5/21

... is blank

Answers

[tex]\dfrac 57 \cdot x = \dfrac 5{21}\\\\\\\implies \dfrac x 7 = \dfrac 1{21}\\\\\\\implies 21x = 7\\\\\implies x = \dfrac{7}{21}\\\\\\ \text{Hence}~\dfrac 57 ~ \text{of}~~ \dfrac{7}{21}~ ~\text{is}~ \dfrac{5}{21}[/tex]

I never was good at math, so i wanted to ask someone for help,
I'm doing 8th grade math, and this is the problem:

-11 + 9b² = 25

If you can help me I will be very grateful!

Answers

Answer:

b=4

Step-by-step explanation:

-11+9b^2=25

add 11 to both sides

9b^2=36

divide both sides by 9

b^2=4

take the square root of both sides

b=4

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).

Answers

The area of a triangle is the amount of space on the triangle

The expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

The coordinates of the triangle are given as:

[tex]R = (-5,6)[/tex]

[tex]S = (3,4)[/tex]

[tex]T = (-2,2)[/tex]

The area (A) of a triangle from its coordinates or vertices are:

[tex]A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|[/tex]

Substitute values for x's and y's

[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

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Find the value of f(7).
y = f(x)

Answers

-1 should be your answer. It is where the parabola intersects when x=7

Determine the slope of the line that passes through the points (-8,-4) and (0, -1).​

Answers

Answer:

3/8

Step-by-step explanation:

(-1-(-4))/(0-(-8))

=3/8

Write an expression for the volume of the figure as a polynomial in standard form. (multiple choice)

Answers

Answer:

3.

2x^3+10x^2+14x+6

Step-by-step explanation:

according to figure,

v=w•l•h

(2x+2)(x+1)(x+3)

=(2x+2)x(x+1)+3(X+1)

=(2x+2)(x^2+4x+3)

=2x(x^2+4x+3)+2(x^2+4x+3)

=2x^3+10x^2+14x+6

The volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

What is a cuboid?

A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.

The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).

The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:

V = (2x +2)(x + 1)(x + 3)

V = (2x² + 2x +2x + 2)(x + 3)

V = (2x² + 4x + 2)(x + 3)

V = 2x³ + 6x² + 4x² + 12x + 2x + 6

V = 2x³ + 10x² + 14x + 6

Hence, the volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

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How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

It's the first one. We notice that for every package there are 36/3 = 12 pencils. Therefore for 4 packages there will be 4*12 = 48 pencils.

Factor completely.
121x^2 – 144

Answers

(11x+12) (11x-12) since it’s a difference of squares

Answer: (11x+12)(11x−12)

Step-by-step explanation: (11x+12)(11x−12)                                                       (11x+12)(11x+−12)                                                                                                       (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12)                                           121x2−132x+132x−144                                                                                           121x^2-144

find the inverse function f(x)=1/2x+2​

Answers

Answer:

y=2x-4

Step-by-step explanation:

f(x)=1/2x+2

y=1/2x+2

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

x=1/2y+2

1/2y=x-2

y=2(x-2)

y=2x-4

this question is hard

Answers

A) Total number of old plans = 3500 + 4700 = 8200

In the new month, the unlimited plans increased by 55%, which adds

0.55 • 3500 = 1925

unlimited plans, while the limited plans decreased by 25%, which subtracts

0.25 • 4700 = 1175

limited plans. Then

Total number of new plans = (3500 + 1925) + (4700 - 1175) = 8950

which corresponds to a percent change of

(8950 - 8200)/8200 ≈ 0.0915 = 9.15%

That is, percent change is given by

(new value - old value) / (old value)

B) The percent change is positive, so it's a percent increase.

can anyone please help?​

Answers

Answer:

-1 or 1.

Step-by-step explanation:i hope thats what your looking for.

The perimeter of a square rug is 104 cm. What is the area of the rug?

Answers

Answer

Area of the rug is 64 in^2

Answer:

676 cm²

Step-by-step explanation:

A square has 4 congruent sides , then

104 ÷ 4 = 26 cm ← length of side of square s

The area (A) of a square is calculated as

A = s² = 26² = 676 cm²

Can someone please help me with these 2 problems I’ve been stuck on them for awhile :’) tysm!

Answers

Answer:

48. 95,400 mL

50a. 331 yds.

50b. 11,916 in.

Step-by-step explanation:

Some helpful conversions can solve this for you :)

1 liter = 1000 mL

1 yard = 3 feet

1 feet = 12 inches

Now we get started!

48. We have 95.4 Liters, multiply by 1000 because 1000 mL per Liter. Therefore it's 95,400.

50

a. 3 feet per yard, so 993 feet divided by 3 is 331 yards.

b. 12 inches per foot, so 993 feet multiplied by  12 is 11,916

Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.

Answers

Answer:

19 = x

Step-by-step explanation:

The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)

BD²= (BA)(BE)        

8² = (4 + x - 7) (4)             BA = BE + EB

8² = (x - 3)(4)

64 = 4x - 12

64 + 12 = 4x

76 = 4x

19 = x

The minute hand of a clock has a length of 12 cm, and the hour hand has a length of 8 cm
a) How far does the tip of the minute hand travel in one hour?
b) How far does the tip of the hour hand travel in 12 hours?
c) How far does the tip of each hand travel in one week?

Answers

Answer:

I have no any ideas

Step-by-step explanation:

sorry

Determine the correct value of 3x + 2 when x= 5

Answers

Step-by-step explanation:

3x+2

3 x 5=15

15 + 2 = 17

so your answer is 17

pemdas

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?

Answers

Explanation :-

We are given that the length of the frame is 5 inch and breadth of the frame is 8 inch. And Miguel glues a ribbon border around the edges of the frame. We have to find –the total length of ribbon Miguel uses.

[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.

Length of the frame is = 5 inchBreadth of the frame is = 8 inch

[tex]\qquad[/tex]____________________

According to the question:-

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]

The frame is in the rectangular shape, as its length and breadth are different . As we know– Perimeter of the rectangle = 2 ( length + breadth ).

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]

Henceforth, perimeter of the frame is 26 inch.

Therefore,

Perimeter of the frame = The total length of ribbon.So, The total length of ribbon = 26 inch.

[tex]\qquad[/tex]____________________

The Answer will be 26 inch

Please help, question in pic

Answers

Answer:

D

Step-by-step explanation:

hard to explain but when you rotate 180, you can imagine that a straight line with the center of rotation as the midpoint can be drawn between the image and preimage. you want a mapped to c and you want d mapped to b. having it rotate 180 with the center of rotation being the center of the parallelogram allows you to make those imaginary lines between a and c and d and b. hope this helps

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