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Consider the Pythagorean Theorem and its converse. Which statements are correct?
A)
6, 8, and 10 are possible side lengths for a right triangle.
B)
10, 15, and 20 are possible side lengths for a right triangle.
The Pythagorean Theorem works only for sides of a right triangle.
D)
If the sides of a right triangle are of length 8 and 15. its hypotenuse is 17
E)
The Converse of the Pythagorean Theorem allows us to calculate side
lengths of right triangles.

Answers

Answer 1

Answer:

Step-by-step explanation:

A-Yes

B-No

C-Yes

D-Yes

E-Yes

Answer 2

If consider the Pythagorean Theorem and its converse. A, C, D, and E are correct statements.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

In this case, statement A is correct because 6, 8, and 10 are possible side lengths for a right triangle.

Statement B is incorrect because 10, 15, and 20 are not possible side lengths for a right triangle.

Statement C is correct because the Pythagorean Theorem works only for sides of a right triangle.

Statement D is correct because if the sides of a right triangle are of lengths 8 and 15, its hypotenuse is 17.

Statement E is correct because the converse of the Pythagorean Theorem allows us to calculate the side lengths of right triangles.

Thus, the correct statements would be options A, C, D, and E.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ2


Related Questions

Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. After how many months will the total amount of money paid to both gyms be the same?

Answers

Answer:

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

You purchase three $0.89 candy bars and you hand the cashier a $5 bill. You then tell them to keep the change as a top. What percent tip did you leave

Answers

Answer:

82.2%

Step-by-step explanation:

You gave them $4.11 extra and 4.11 of 5 is 82.2

What is the answer? Someone, please tell me?

Answers

The answer is B. 15 miles
You can solve it by calculating the distance using 75/300=x/48 for biking and 30/240=x/24 for running.

Solve for x (distance) in both equations then add the distances.

Solve the equation 18+a= -50

Answers

18+a=-50
a+18=-50
Subtract 18 from both sides
a=-68

Answer:

-68

Step-by-step explanation:

Subtract 18 from each side of the equation.

a + 18 = -50

    -18    -18

Turn -50 - 18 into -50 + (-18) because you need to add the opposite.

a = -50 + (-18)

a = 68

The new location for a park needs to be exactly 5 miles from the school. When plotted on the coordinate plane, the school is located at (3, 3). Use the Pythagorean theorem to determine two possible locations on the coordinate plane for the park. (–3, –3) (–1, 0) (0, 0) (6, –1) (6, 6)

Answers

Answer:

the answer is --1, 0 and 6, -1

Step-by-step explanation:

your welcome :) have a good day!

Answer:

B and D

Step-by-step explanation:

I took the test edg 2022 ur welcome

What is BBC???????????

Answers

Answer:

BBC News is a British free-to-air television news channel ;)

Step-by-step explanation:

It was launched as BBC News 24 on 9 November 1997 at 5:30 pm as part of the BBC's foray into digital domestic television channels, becoming the first competitor to Sky News, which had been running since 1989.

Solve the one step inequality.

x − 3 ≥ 6
options:

x ≥ 9

x ≤ 9

x ≥ 3

x ≤ 3

Answers

Answer:

x≥9

Step-by-step explanation:

I hope this helps you

Answer:

A. x ≥ 9

Step-by-step explanation:

To get the answer you first move all of the terms not containing a variable, to the right side of the inequality. This would cause you to add 3 and 6, giving you 9. To get your answer of x ≥ 9. Hope this helps... have a great day! :))

hi please help i’ll give brainliest please

Answers

It’s B
(28y+63)
Hope this helps!

FIND THE AREA OF THE COMPOUND SHAPE

Answers

Answer: 488cm^2

Step-by-step explanation:

The area of the triangle is 12*19/2= 114cm

The area of the rectangle is 17*22=374

114+374= 488cm^2 is the area

One way to compute a 15% discount is to multiply the price by 0.15. The price of a pair of shoes is $142.20. How do i Calculate the discount?

Answers

$142.20 x .15% = 21.33

$142.20 - 21.33 = $119.87


A used book store also started selling used CDs and DVDs. In the first week, the store sold 40 used CDs and DVDs, at
$6.00 per CD and $4.00 per DVD. The sales for both CDs and DVDs totaled $180.00. Write a system of equations to
represent this situation

Answers

Answer:

6c + 4d = 180

c + d = 40

c represents the CDs and d represents the DVDs.

The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
13, 14, 17
A. Acute Triangle


B. Obtuse Triangle


C. Right Triangle

Answers

Answer:

A. Acute Triangle

Step-by-step explanation:

Lets verify with Pythagorean:

17² = 28913² + 14² = 169 + 196 = 365289 < 365

The angle opposite to a greater side is less than 90° and the sum of the squares are close.

It means all three angles are less than 90°.

With this the triangle is acute.

Correct choice is A.

HELP WILL GIVE YOU Brainiest!!!

Answers

Answer:

Step-by-step explanation:

So there we have it, <A=135° and <B=45°. This should check when you add them together ("<A and <B are supplementary which means that together their angles equal 180°"). Does 135°+45=180°?     YES!

I Really hope it helps

Find the y intercept and the slope

Answers

Answer:

The slope is -1/2 and the y intercept is 1

Step-by-step explanation:

Can someone explain this to me, I don't understand it. Thank you!

Answers

Answer:

NLO or OLN

Step-by-step explanation:

I'm not exactly sure but this is my guess

Find the radius of a circle with a diameter of 17 inches.

Answers

Answer:

r=8.5 in

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d

2=17

2=8.5in

hope this helps.

Write the linear equation in slope-intercept form given the following: 3x – y = 5

Answers

Answer:

[see below]

Step-by-step explanation:

[tex]3x-y=5\\\\3x-3x-y=5-3x\\\\-y=5-3x\\\\\frac{-y=-5+3x}{-1} \\\\y=-5+3x\\\\\boxed{y=3x-5}[/tex]

Hope this helps.

What is the value of x?
40"
X
55
O A. 85°
O B. 105°
O c. 75°
D. 95°

Answers

Answer:

A. 85°

Step-by-step explanation:

By interior angle sum theorem of a triangle.

x = 180° - ( 40° + 55°)

x = 180° - 95°

x = 85°

Answer:

A. 85

Step-by-step explanation:

Youd do 40+55 and that equals 95 and then since a triangle qdds up to 180 degrees, 180-95=85

9. A group of students were asked
to vote for their favorite kind of pizza.
For every 5 students that voted for
cheese, 1 voted for pepperoni. A
total of 150 students voted. How
many students voted for pepperoni?

Answers

Answer:

25 students voted for peperoni

what is the leading coefficient ? 6x+2x(3)-5

Answers

Answer:

2

Step-by-step explanation:

The correct order in which the equation is written would be:

[tex]2x^{3} + 6x - 5[/tex]

So, when ordered correctly the leading coefficient is the first number, so with this equation that would be 2.

How many vertices does this figure have?

Answers

8 verticles 4 at the bottom and 4 on the sides

PLZ IF RIGHT I WILL GIVE BRAINLIST: One year, the population of a city was 64,000. Several years later it was 53,120. Find the percent decrease.
Ans=______%

Answers

the answer is it decreased 17%

im not 100% btw

11. If 3x + 2 = 11, what is the value of 4x?

Answers

X is equal to 3 so it would be 4(3) +2=14

HELP ME PLEASE!! LOTS OF POINTS

Answers

Answer:

all rational

Step-by-step explanation:

find the square root then add to fraction

down below is a cheatsheet.

Find the measures of the numbered angles in the quadrilateral.

Answers

Answer:

c

Step-by-step explanation:

angles in a triangle r equal to 180

180-90-65 is equal to 25

and 1 is 90 degree

Please explain how to solve this and the answer

Answers

Looking at the letter arrangement in the problem B is similar to W

Set those equal to each other and solve.

X + 24 = 2x -2

Subtract x from both sides:

24 = x -2

Add 2 to both sides:

X = 26

Now replace x in the equation for B

2x -2 = 2(26)-2 = 52-2 = 50

B = 50 degrees

The 3rd choice is the answer.

Solve for the given variable.
a. 4y + 3 = 19



b. 1/2n - 3 = 5

Answers

☁️ Answer ☁️

a. y = 4

b. n = 16

Hope it helps.

Have a nice day noona/hyung  ̄▽ ̄

Answer:

y=4, n=16

Step-by-step explanation:

4y+3=19

4y=19-3

4y=16

y=16/4

y=4

1/2n-3=5

1/2n=5+3

1/2n=8

n=8÷1/2

n=8/1×2/1

n=16

Need help getting stuck on this problem

Answers

Answer:

Variable x in first equation

Step-by-step explanation:

Given system

x = 5y - 1x + 2y = 13

Variables in this system are x and y.

Isolating a variable means rearranging the equation so that a variable of our interest is on its own in one side of the equal sign.

We see variable x is isolated in the first equation.

In the second equation both of the variables are on the same side so they are not isolated.

Answer:

x

Step-by-step explanation:

x=5y-1--(1)

The x variable is isolated here as it's solo on left side

Solve the equations

x+2y=13x=-2y+13--(2)

Equate

5y-1=-2y+137y=14y=2

x=10-1=9

Solve for x
help pls

Answers

Answer:

this is the answer!

Step-by-step explanation:

WILK MARK BRAINLIEST!!

Answers

Answer:

I think the answer is 8.

Step-by-step explanation:

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