Mathematics Middle School

Which is the best use for the converse of the Pythagorean theorem?
to show that all triangles have a right angle
to prove that a triangle is equilateral
to determine from the side lengths if a triangle is a right triangle
to find the length of an unknown side of a right triangle

Answers

Answer 1

Answer:

here you go

Step-by-step explanation:

The converse of the Pythagorean Theorem tells us that by comparing the sum of the squares of two sides of a triangle to the square of its third side, we can determine whether that triangle is an acute, right, or obtuse.

Answer 2

To determine from the side lengths if a triangle is a right triangle. Therefore, the correct answer is option C.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

The converse of Pythagoras theorem states that “If the square of a side is equal to the sum of the square of the other two sides, then triangle must be right angle triangle”.

By comparing the sum of the squares of two sides of a triangle to the square of its third side, we can determine whether that triangle is an acute, right, or obtuse.

Therefore, option C is the correct answer.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ2

Related Questions

Want to help me out here? (Please answer all 3)

Answers

Answer:

Step-by-step explanation:

1. There must be fewer than 5 (< 5) fish in the small quadrium. There are already 3 fish in the aquarium.

f + 3 < 5

2. r + 6 ≥ 11  {4, 5, 6, 7}

4 + 6 ≥ 11

10 ≥ 11

false

5 + 6 ≥ 11

11 ≥ 11

true

6 + 6 ≥ 11

12 ≥ 11

true

7 + 6 ≥ 11

13 ≥ 11

true

3. Jordan: burns 250 calories each hour that he walks. he wants to burn at least 375 (≥ 375) calories walking at the same rate.

h = hours

250h ≥ 375

/250     /250

h ≥ 1.5

This means that it will take him at least 1.5 (one and a half) hours to burn at least 375 calories.

Hope this helps!

Kehlani is making a table. All but one of the boards that she uses to make the table are 15/16 inches thick. Kehlani’s last board is 1 1/8 inches thick. By how much does Kehlani need to reduce the thickness of her last board to match the other boards?

Answers

Answer:

3/16 of an inch

Step-by-step explanation:

1 1/8 of an inch is 1 2/16, which is also 18/16. 18/16-15/16 = 3/16.

Rotation: 90% ccw about the origin

Answers

Use this formula: (x,y) to (-y,x)

Please Help!!
What type of transformation happened from (x,y) --> (-x,y)?
-----
A.Rotation 90*
B.Reflection over the y-axis
C.Translation left 1
D.Reflection over the x-axis

Answers

Answer:

B

Step-by-step explanation:

This is a reflection over the y-axis. The x value is changing sign while the y value is staying the same. The general rule for a reflection over the y axis is  (x,y) --> (-x,y), and similarly for a reflection over the x axis is (x,y) --> (x,-y). When you reflect a point over an axis, you flip the sign of the opposite value.

the answer would be B

Find the perimeter and area of the shaded figure below.

Answers

Answer:

Perimeter = 12

Area = 8

Step-by-step explanation: For the perimeter add all the sides so the top and bottom is both 2 so 2+2 = 4.

For the sides its both 4 so 4 + 4 = 8.

8 + 4 = 12

So the perimeter is 12.

For area just count all the blue squares and there is 8 squares.

So the area is 8.

Hope this helps you.

Answer:

Perimeter = 12

Area = 8

*Brainliest would be appreciated.

Step-by-step explanation:

A standard number cube, numbered 1 through 6 on each side, is rolled 3 times. What is the probability of rolling a 2 on all three rolls? Express your answer as a fraction.

Answers

Answer:

2/6 percent chance

Step-by-step explanation:

Because rolling the dice 3 times will give you the fraction 2/6.

Solve 3 x 2.5
Step by step

Answers

Answer:

3 x 2.5 = 7.5

Step-by-step explanation:

3x0.5= 1.5
3x2= 6
if you add it together you get 7.5 as the answer

PLEASE HELP
City A and city B each have 10 parks. The table shows the number of acres for each park in the two cities.

City A : 6 9 10 7 10 10 2 5 8 8
City B : 5 10 8 11 7 12 6 5 4 5

Select from the drop-down menus to correctly complete each statement.

1. The mean number of acres for each park for the two cities is:
A. About the same
B. Much greater for City A than for City B
C. Much greater for City B than for City A

2. The range for the number of acres for parks for the two cities is:
A. The same
B. Greater for City A than for City B
C. Much greater for City B than for City A

Answers

Answer:

1. A, About the same

2. A, The same

Step-by-step explanation:

For the mean, add them up and divide by 10. The two answers are almost the same. (0.2 of a difference)

For the range of both, find the biggest number in each set, and minus the smallest number in the set from the biggest.

Answer:

1. A, about the same

2. A, the same

Step-by-step explanation:

1# What is the side length of a square with an area of 1/16 square units?

2# What is the volume of a cube with edge lengths of 2/3 units?

3# What is the edge length of a cube with a volume of 27/64 cubic units?

Answers

Answer:

already answered

Step-by-step explanation:

go to this

https://brainly.com/question/14833666

Answer:

1: 8/27 cubic units

2: 3/4 cubic units

3: 1/4 units

Step-by-step explanation:

I did the research on my whiteboard :)

how do you express 11/20 as a percent

Answers

Answer:

The answer is 55%

1. 11÷20= 0.55

Now that the number is a decimal, we multiply 0.55 and 100 to get our result.

0.55 x 100 = 55%

What is the volume of a sphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

3262.9 cm^3

Step-by-step explanation:

Formula =

[tex] \frac{4}{3} \times \pi r ^{3} [/tex]

Pi = 3.145

So,

[tex] \frac{4}{3} \times 3.145 \times 9.2 ^{3} \\ = 3262.183595 \\ = 3262.9 cm^{3} [/tex]

Here you go

Hello guys! Could someone tell me what is H in the attached question? Please and Thank you!

Answers

Answer:

5

Step-by-step explanation:

[tex]12 - 2(3h) = - 18 \\ 12 - 6h = - 18 \\ - 6h = - 18 - 12 \\ - 6h = - 30 \\ h = \frac{ - 30}{ - 6} \\ h = 5[/tex]

hope it helps you<3

Answer:

H=5

Step-by-step explanation:

Simplifying the equation

We multiply 2(3H) =6H, so the equation is now 12-6H=-18

Isolating the Variables

Then, we subtract 12 from both sides, giving us -6H = -30

Finding H

Finally, we divide both sides by -6, so H= 5

What is the volume of this right prism?

720 in³

780 in³

1440 in³

1560 in³

Answers

Answer:

720in.^3

Step-by-step explanation:

Find the area of the base (60in^2) and multiply it by the length of the prism (12) to get 720in.^3

Answer: 720 in³

Step-by-step explanation:  that one person was right

In a year, there are 4 months that have 30 days.

There are 12 months in a year.

For fun: Thirty days hath September, April, June and November. All the rest have thirty-one, Excepting February alone, And that has twenty-eight days clear And twenty-nine in each leap year.
What is the ratio of the months with 30 days to the months with other than 30 days? In simplest form.




1 to 2

1 to 3

2 to 1

3 to 1

Answers

Answer: 1 to 2
Explanation: 4 out of 12 months have 30 days which means 8 out of 12 months have either 31 days or February with either 28 or 29 days
The ratio is 4 to 8, simplified is 1 to 2
The answer would be 1:2 or 1 to 2

HELP ME FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

10 x 2 +4 = 24

Step-by-step explanation:

10x2+4 the answer is 24

Classify the pair of angles, then find the value of x.
(PLEASE HELP ME OUT!!)

Answers

Answer:

X = 55°

Step-by-step explanation:

You can tell if a pair of angles, in this case, is 90° if you see the red box in the corner of the angle.

The pair of angles in the picture are complementary angles, which add up to 90°. Therefore, subtract 35 from 90 to find the value of X which is 55°.

Hope this helped! <3

Hans gave 4 people candy. He split 7/8 pounds among them. What is the unit rate in pounds per person? Write your answer in simplest form.

Answers

3.5 or 7/2 I think because I turned the 7/8 into 14/16 by multiplying by 2 but it is the same thing still then divide 7 by 4 which is 3.5 and in fraction form it can be 7/2
I agree with her on that fraction

5 tons of mulch cost $37,800.00. What is the price per pound?

Answers

Answer:

$3.78 per pound

Step-by-step explanation:

5 tons = 10,000 lbs

37,800/10,000 = 3.78

378000/5= 7560 each pound of mulch cost $7560

Wendy paints a rectangular wall that is 10.5 feet tall and 9.2 feet wide. What is the area of the wall that she paints?

Answers

Answer:

96.6

Step-by-step explanation:

We know that the Area of the rectangle is,

A =Length x width

So the Area of the wall painted by Wendy will be,

A = 10.5 x 9.2 = 96.6

So; the area painted by Wendy will be 96.6 square feet.

-Mark me brainliest and a 5 star :D

96 and six we know that the area is a equals one laying eggs with

What is the answer??5(-2)(-1)(2)

Answers

Answer:

-20

Step-by-step explanation:

multiply 5*-2*-1*2

20 is the answer have a good day

Im confused, how will i do 8d and 9c

Answers

Answer:152Step-by-step explanation:

C. A=L×W

=19 × 15

A= 285

A=L×H

= 19×7

A= 133

A = 285A = 133A = 152

(= Hope It Helps! =)

lucie and suzie buy greeting cards. lucie buys 10 more cards than one third of the girls’ total. how many more cards should suzie buy so that she has 10 more cards than two thirds of the girls’ total? assume that lucie does not make any purchases after her initial purchase.

QUICK I NEED AN ANSWER ASAP

Answers

Lucie must buy 5 more than half of Suzie's purchase to have 10 more cards than two thirds of the girls’ total

How to determine the number of cards?

Represent Lucie's card with L and Suzie's card with S.

So, the total number of cards is:

Total = L + S

Lucie's number of cards can be represented as:

L = 10 + 1/3(L + S)

Multiply through by 3

3L = 30 + L + S

Subtract L from both sides

2L = 30 + S

Divide by 2

L = 15 + 0.5S

Let x represents the additional number of cards.

So, we have:

x + L = 10 + 2/3(L +S)

Substitute L = 15 + 0.5S

x + 15 + 0.5S = 10 + 2/3(15 + 0.5S + S)

Evaluate the sum

x + 15 + 0.5S = 10 + 2/3(15 + 1.5S)

Expand

x + 15 + 0.5S = 10 + 10 + S

Evaluate the sum

x + 15 + 0.5S = 20 + S

Subtract 0.5S from both sides

x + 15 = 20 + 0.5S

Subtract 15 from both sides

x = 5 + 0.5S

The above means that Lucie must buy 5 more than half of Suzie's purchase to have 10 more cards than two thirds of the girls’ total

#SPJ1

Read more about proportions at:

https://brainly.com/question/1781657

Name the pairs of corresponding sides and the pairs of corresponding angles using your congruent symbols and correct angle and side notations.

----------- -------------
Corresponding sides: Corresponding Angles:

Answers

Answer:

insert a oicture

Step-by-step explanation:

Help, please???? This work is hard...

Answers

Answer:

EASY PEASY

Step-by-step explanation:

9²

HOPE IT HELPS YOU

Answer:

[tex]9^{2}[/tex]

Step-by-step explanation:any number multiplied by itself usining an exponent is just the original number squared for example

"x" multiplied by "x" using an exponent is [tex]x^{2}[/tex]

Add rational expression


Please show steps to answer

Answers

Answer:

(5x^(2)-10x+1)/((x+2)(x-2))

Molly is painting a model house and needs to know how much paint she will need. She knows the surface area of the prism is 216 square inches and the surface area of the pyramid is 84 square inches.

1. Which surface is shared by the two solids? What are the dimensions of this surface?

2. There is another surface that Molly does not need to paint, because it won’t show when she displays the model house. Describe that surface, and explain why it doesn't need to be painted.

3. To find the area Molly needs to paint, she should add the surface areas of both solids and subtract:

twice the area of the triangle
twice the area of the square
three times the area of the square
the area of the square

4. Find the area Molly needs to paint. Show your work, and be sure to include units with your answer.

Oh and here's an image to help you out

Answers

Answer:

1. Base of pyramid; 6 in by 6 in

2. Base of prism; Its dimensions are also 6 in by 6 in, located at the bottom of the house and will not be seen, so it does not require painting.

3. twice the area of the square

4. Area = 228 inches squared

Step-by-step explanation:

For question 4, the area Molly needs to paint is found by adding all the surface areas and subtracting the 2 surfaces that will not be painted: base of pyramid and base of prism (outlined in red). According to the picture, these are both squares with 6 by 6 dimensions.

Step 1. Add all surface areas together

Prism: 6 surfaces

Surface area = 216 inches sq

Front = 6 x 6 = 36 Back = 6 x 6 = 36Top = 6 x 6 = 36Bottom (base) = 6 x 6 = 36Side = 6 x 6 = 36Other side = 6 x 6 = 36

Pyramid: 5 surfaces

Surface area = 84 inches sq

Bottom (base) = 6 x 6 = 36Front triangle = (6 x 4)/2 = 12Back = (6 x 4)/2 = 12Side = (6 x 4)/2 = 12 Other side = (6 x 4)/2 = 12

TOTAL surface area: 216 inches + 84 inches = 300 inches sq

Step 2. Subtract surfaces that are NOT being painted

300 - base of pyramid - base of prism

300 - 2(36)

300 - 72

228 inches sq

Hope this helps!

ILL GIVE BRAINLIEST TO THE CORRECT ANSER BUT ANSWER ASAP

Answers

The answer is 35

0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
The answer is 35, 0,1,4,9 etc are all square numbers

∆ABC ˜∆EFG – Why is the notation written in a specific order?

Answers

Answer:because it shows how the shape on the right is the same as the one on the left, just after being enlarged

Step-by-step explanation:

5. Find the thickness of each layer. Use the data to determine the percentage of the total
height of the atmosphere each layer occupies.
• Determine the thickness of each layer by subtracting the lowest altitude from the highest
altitude.
• Divide the layer thickness by the total thickness of the atmosphere. Then, multiply by 100.

please answer fast!!

Answers

Answer:

Exosphere - 10,000 kilometers thick

Thermosphere - 513 kilometers

Mesosphere - 2200 km

Stratosphere - Depends, but most occurring thickness is 50km

Troposphere - 8-14km

Step-by-step explanation:

Double check and verify this information with your lesson since honestly the numbers could very well differ depending on your lesson and when they were taken. I hope this helps though..have a good one

A tailor uses
75
yards of material to make
30
sweatshirts of the same size. At this rate, how much material is needed to make
1
sweatshirt?

Answers

Answer:

2.5 yards

Step-by-step explanation:

75÷30=2.5 yards

Hope this helps!

The answers is 2.5 to make 1 sweatshirt.
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