If a polygon has four right angles, then it is either a square or a rectangle. Which is a counterexample for the conditional?.

Answers

Answer 1

If the polygon has four right angles , then it is a square when all four sides are equal and a rectangle when the opposite sides are equal .

The Polygon is defined as closed object that is made of line segments rather than curves on a 2 - D plane .

A square is defined as a polygon in which all the angles are right angles and pair of opposite sides are equal .

A rectangle is defined as polygon that have all the angles as right angles and all four sides are equal .

From above definitions , we can say that ,

A polygon that has four right angles , is a square when all four sides are equal and it is a rectangle when pair of opposite sides are equal .

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Related Questions

What is the area of this? please help me ! screen shot of assignment attached

Answers

Answer:

12

Step-by-step explanation:

(2 + 2 + 2 + 6) × 2 ÷ 2 = 12

Work out 8 divided by 2/3

Answers

Answer:

Hi! The answer to your question is 12

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

Step-by-step explanation:

Given

[tex] \frac{8}{ \frac{2}{3} } \\ = 8 \times \frac{3}{2} \\ = 4 \times 3 \\ = 12[/tex]

Hope it will help :)❤

sara compares to phone plans. plan A charges $99 for the phone plus $25 per month. plan B charges $39 for a phone and a $35 per month. at what month will the plans cost the same?

Answers

Answer: 6th month

Step-by-step explanation:

Let the month where the plans cost the same be represented by x.

Plan A charges $99 for the phone plus $25 per month. This can be written as:

= 99 + 25x

Plan B charges $39 for a phone and a $35 per month. This can be written as:

= 39 + 35x

We then equate both equations and this will be:

99 + 25x = 39 + 35x

Collect like terms

99 - 39 = 35x - 25x

60 = 10x

x = 60/10

x = 6

The plan will cost the same in the 6th month.

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.

please help!! will mark brainliest!!

Answers

First blank: 230

Second blank: 200.6

Third blank: 113.4

The area of shaded and unshaded sector is 1.13 × P^2 and 1.99 × P^2.

How to find the surface area of some object?

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

P is the center, angle LPJ=130degree

Now,

To find the approximate values, we can use 3.14 for π and round to the nearest tenth:

Area of shaded sector = (13π/36) × P^2

≈ (13 × 3.14/36) × P^2

≈ 1.13 × P^2

Area of unshaded sector = (23π/36) × P^2

≈ (23 × 3.14/36) × P^2

≈ 1.99 × P^2

Therefore, by the surface area the answer will be 1.13 × P^2 and 1.99 × P^2.

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Answers

Answer:

Volume :-

= 1/3 × 3.14 × 9 × 4

= 37.68 m^3

l = √9 + 16

= √25

= 5 cm

Surface Area

= 3.14 × 3 × 5

= 47.1 cm^2

Hope this helps you

Please mark as brainiest

Answer:

33.49

Step-by-step explanation:

the formula for finding the volume of a sphere is 4/3 * pi(3.14) * r^3. the diameter is 4 so half that to get the radius (2). 2^3 = 12. 12 * 3.14 * 4/3 = 33.49


Write the number 4.9 x 10^-5 in standard form

Answers

4.9 x 10^-5 is in standard form

In Scientific Notation its 0.000049

Work out each of the following:
1) −5 − +23=
2) −16 + −15=
3) 40 − −40=
4) −18 − −27=
5) −52 + 90=
HELPPP PLEEEAAAASSSSEEEE!!!! :(
I need those answers before 09:30 pleeeaaaaassssseeee

Answers

I recommend you download photo math sorry I didn’t get to this quicker

Two hammers and a screwdriver cost a total of 34. A hammer and 3 screwdrivers cost a total of 32. Find the price of each type of tool

Answers

Answer: 14 , 6

Step-by-step explanation:

Given

2 hammers and a screwdriver cost 34

1 hammer and 3 screwdrivers cost 32

Suppose the cost of the hammer is x and the cost of the screwdriver is y

[tex]\therefore 2x+y=34\quad\ \ldots(i)\\x+3y=32\quad \ldots(ii)[/tex]

Solving (i) and (ii) we get

[tex]x=14;y=6[/tex]

Thus, hammer cost 14 and screwdriver costs 6

Plz help ASAP, I will mark brainlest if correct.

Answers

Answer:

[tex]5x+6y=12[/tex]  I will do y and x slope-intercept form

Answer: [tex]y=-\frac{5}{6} x+2[/tex]

[tex]-3x-2y=4[/tex] I will do the same method

Answer: [tex]y=-\frac{3}{2}x-2[/tex]

Step-by-step planation:

How I got my answer I took 5x and put it on the right side and I changed the sign which looks like [tex]6y=12-5x[/tex] then I would divide the equation by 6 which looks [tex]y=2-\frac{5}{6} x[/tex] Then I use commutative property and reorder the terms

[tex]y=-\frac{5}{6}x+2[/tex] and that is the answer.

I put the -3x and on the right side and make it [tex]-2y=4+3x[/tex] then I changed both signs of the equation which is the -2y [tex]2y=-4-3x[/tex] then I divided both sides of the equation by 2 [tex]y=-2-\frac{3}{2}x[/tex] and use the commutative property and reorder the terms [tex]y=-\frac{3}{2}x-2[/tex] which is the answer.

Will mark brainliest if get the correct answer.

Answers

Answer:

Perimeter of rectangle before folded = 56 in

Total area after folding = 156 sq in

Step-by-step explanation:

Rectangle before folded:  l = 16 and w = 12

                                           P = 2(16) + 2(12) = 32 + 24 = 56 in.

Figure after folding:   Area of trapezoid + area of rectangle

Area of trapezoid = h([tex]b_{1} + b_{2}[/tex])/2 = 6(4 + 16)/2 = 60

Area of rectangle = lw = 16(6) = 96

Total area after folding = 60 + 96 = 156 sq in.

Note:  You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle.  Your choice.  OK?

The hypotenuse of a triangle measures 12 inches, and the measure of one of the acute angles is two less than three times the measure of the other acute angle. What is the area of the triangle? Round your answer to the nearest square inch. (Note: The area of a triangle is 1/2bh, where the base and the height of the triangle are perpendicular).

Answers

Answer:

26 sq in.

Step-by-step explanation:

Let x = measure of one acute angle

3x - 2 = measure of other acute angle

Since the triangle is a right triangle, the sum of the measures of the acute angles is 90

x + 3x - 2 = 90

4x - 2 = 90

4x = 92

x = 23

90 - 23 = 67

The acute angles are 23° and 67°

Now, let a = length of side opposite the 23° angle

sin 23 = a/12

a = 12 sin 23

Let b = length of the side opposite the 67° angle

sin 67 = b/12

b = 12 sin 67

Area = 1/2ab = 1/2(12 sin 23°)(12 sin 67°)

                     = 25.90

26 sq in to the nearest inch

Wow!  That is quite the problem.

Can someone please help me with this question?

Answers

Answer:

AE = 9 units

Step-by-step explanation:

Based on the centroid theorem:

AX = ⅔ of AE

Given that AX = 6 units, where X is the centroid of ∆ABC, therefore:

6 = ⅔ of AE

6 = ⅔(AE)

Multiply both sides by 3

6*3 = ⅔(AE)*3

18 = 2(AE)

Divide both sides by 2

18/2 = AE

9 = AE

AE = 9 units

1. 12x^2-8x

2. x^2+5x-36

3. 3x^2+10x+8

Please show how to solve these problems, thanks.​

Answers

1. 4(3x-2)•x
2. (X-4)(x+9)
3. (3x+4)(x+2)
I hope this helps!

Answer:

1. 12x^2-8x

taking common 4x

4x(x-2)

2. x^2+5x-36

doing middle term factorization

x²+9x-4x-36

x(x+9)-4(x+9)

(x+9)(x-4)

3. 3x^2+10x+8

Doing middle term factorization

3x²+6x+4x+8

3x(x+2)+4(x+2)

(x+2)(3x+4)

Gina is 16 years older than her nephew Paul. In 3 years, she will be 3 times older than Paul. How old are Gina and Paul currently?

Answers

9514 1404 393

Answer:

Paul: 5Gina: 21

Step-by-step explanation:

In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.

Paul is 5 now, and Gina is 21.

Lisa Has $ 7.80 to spend on some tomatoes and loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80.
The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes
solve the inequality how many piunds of tomatoes can lisa buy?

Answers

The answer is letter C, x less than or equal to five. lisa can buy 5 pounds or less of tomatoes

Marty says he would rather have --$5 than $0 do you agree with Marty?

Answers

Answer:

No becasue -5 is more than positive 0

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

No I don't agree with Marty because when or if I get more money I have to give it to the bank so lets say I earned 15 dollars I would have to give five to the bank because I owe the them but if Ii have 0 dollars I don't owe the bank money I get all the 15 dollars.

Step-by-step explanation:

1. Which expression is equal to 815-97?
A. 815-(-97)
B. 815+97
C. 815+(-97)
D. 97-815

Answers

Answer:

the answer is C.815+(-97)

Step-by-step explanation:

what is 38% of 32.

pls help in the middle of testing ​

Answers

Answer:

12.16

Step-by-step explanation:

1:Reduce the fraction 100 38 ​ to lowest terms by extracting and canceling out

2:Express 50/19 ​ ×32 as a single fraction.

3:Multiply 19 and 32 to get 608.

4:Reduce the fraction 608/50 ​ to lowest terms by extracting and canceling out 2.

5:304/25=(12.16).

i dont get this at all pls help

Answers

Answer:

its B i think

Write any three rational number between -3 and 0

Answers

Answer:

negative square root of 2

negative square root of 3

negative square root of 5

Step-by-step explanation:

:)

MARKING BRAINLIEST!!!

What is the circumference of circle P in terms of Pi?

Answers

Answer:

56.52 cm

Step-by-step explanation:

9×2×3.14=56.52

9=r (radius)

2 is part of the formula

3.14= pi

Can I please have Brainliest?

Which term describes RT?

Answers

Answer:

D. perpendicular bisesecor

Step-by-step explanation:

A hot tub has 58 inches of water (w) when it is full. The tub
drains at a rate of 7 inches per minute (m): w = 58 – 7m
After you open the drain, how many minutes will it take for the
hot tub to have 23 inches of water remaining?

Answers

Answer:

58_7

51

then

in 23×7 minutes )

= 161 minutes.

Which statement is correct

Answers

Answer:

I think its a

Step-by-step explanation:

because 1/5 as a decimal is 0.2 and 0.3 is great then 0.2

I think the answer is a

When 6 is added to the difference between 4 times a number and ​7, the result is greater than 14 added to 3 times the number. Find all such numbers.

Answers

Answer: x > 15

Step-by-step explanation:

Let the number be represented by x. Based on the information given, we can form an equation as:

(4x - 7) + 6 > 3x + 14

4x - 7 + 6 > 3x + 14

4x - 3x > 7 - 6 + 14

x > 15

Therefore, x include numbers such as 16, ....

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

[tex]x = 25[/tex]

Step-by-step explanation:

The angles are vertical since they form from two lines crossing at a point and they share a same vertex.

Vertical angles are equal so

[tex]4x - 25 = 75[/tex]

[tex]4x = 100[/tex]

[tex]x = 25[/tex]

What is the measure of \angle A in the triangle above?

Answers

Answer:

m<A = 62

Step-by-step explanation:

180 - 116 = 64

3x - 13 + 2x + 4 + 64 = 180

5x + 55 = 180

5x = 125

x = 25

<A:

3x - 13

3(25) - 13

75 - 13

62

Find the area of trapezoids

Answers

Answer:

Area is 10.5

Step-by-step explanation:

We can use the trapezoid formula of

[tex]A = \frac{a+b}{2}h[/tex]

A = (2 + 5) / 2 * 3 = 3.5 * 3 = 10.5

or break it into a rectangle and a triangle (natural split by y axis).

A = 2 * 3 + 3 * 3 / 2 = 6 + 9 / 2 = 6 + 4.5 = 10.5

Answer:

10.5 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = OS = 3 , b₁ = OC = 5 , b₂ = SK = 2 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (5 + 2) = 1.5 × 7 = 10.5 units²

Abe makes $18.50 per hour. He works 40 hours a week. He is considering renting an apartment that will cost $1,500 per month. What is the difference between his recommended rent amount and the cost of this apartment (round to the nearest dollar)?

Answers

Answer:

os(390)   sin(330)   csc(60)

Step-by-step explanation:

PLEASE HELP PLEASE ASAP​

Answers

Answer:

0, 7, -10

Step-by-step explanation:

0, -7, 7, -10, -9, -10, 7, 0, 4

Two 0

one -7

Two 7

Two -10

one 4

0, 7, and -10 are the only ones to appear the most

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