Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and
13 cm.
A. Knowing that 52 + 92 < 122, draw the 5 cm side and the 9 cm side
with a right angle between them. The 12 cm side will fit to form a
right triangle.
B. Knowing that 52 + 122 = 132, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm
side with a right angle between them. The 13 cm side will fit to
form a right triangle.
D. Knowing that 92 + 122 # 132, draw the 9 cm side and the 12 cm
side with a right angle between them. The 13 cm side will fit to
form a right triangle.

Answers

Answer 1

To show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 13 cm  the procedure that can be used is : C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to

form a right triangle.

In Option C, we are given the lengths 5 cm, 9 cm, 12 cm, and 13 cm. The converse of the Pythagorean theorem states that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In this case, we have 52 + 122 = 132, which satisfies the condition for a right triangle according to the Pythagorean theorem.

By drawing the 5 cm side and the 12 cm side with a right angle between them, we can see that the 13 cm side will fit perfectly to form a right triangle. This demonstrates the converse of the Pythagorean theorem.

Option C is the correct procedure to show the converse of the Pythagorean theorem using the given side lengths.

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Related Questions

A sandwich store charges a $10 delivery fee and $4.50 for each sandwich they sell.
What is the total cost (sandwiches and delivery charge) if an office orders 5 sandwiches?

Answers

Answer:

77.5

Step-by-step explanation:

First, find the cost without delivery fees

$4.50*5=$22.50

Then, the fees. $10*5=$50

Then, $50+$22.5=$77.5!

Answer:

Hope it works for u

Step-by-step explanation:

its so simple first to find the total cost for 1 sandwich

for 1 sandwich+ delivery charges

total cost for 1 sandwich= delivery charges+ sandwich cost

                                          =$10+4.50 =$14.50

Now to get total cost for 5 sandwich and also delivery charges is on each sandwich hence simply multiply total cost by 5,we get

Total cost for 5 =  5*($14.50)=$72.5 Ans.....

Please Brain-list if u find it help-full thanks................                                      

Uhhh help please
I need helppppp

Answers

Answer:

1?

Step-by-step explanation:

11/12 closest to

PLEASE HELP GIVING BRAINLIEST!!! INTERNET Kilroy's Web site business has increased every year for the last 3 years. Write the percent its increase during the second year as a decimal and as a fraction in lowest terms.

Answers

Answer:

1.15

Step-by-step explanation:

when you have a % above 100 you divide that by 100 so it's 115 divided by 100 which is 1.15

help pls lol
choose the 3 equations that could be used to solve the following problem. an apartment charges $1200 each month for rent plus a one time rental fee of $500. if a person has paid 10,700, how many months has the person rented the apartment

Answers

Answer:

Options :

A.

C.

D.

Step-by-step explanation:

1200m + 500 = 10700

In the diagram the length of segment VS is 39 units what is the length of segment TV

Answers

Answer:

33

Step-by-step explanation:

Answer: B. 38

Step-by-step explanation:

Got it right, Edge 2022.

What is the lenth of BD

Answers

Answer: 8

Step-by-step explanation:

That is your answer

The sum of two numbers is 55. One number is 4 times as large as the other. What are the numbers?
Larger number:
Smaller number:

Answers

Answer:

Larger number: 29.5

Smaller number: 25.5

I feel like this one might be a pretty easy question

Answers

Answer:

-29

Step-by-step explanation:

replace the variables with the numbers provided. m = -4 so replace the m in the equation with -4:

3 - (-4)n

same thing with the n.  n=-8 so replace the n in the equation with -8:

3 - (-4)(-8)

and then all you have to do after that is solve it using PEMDAS

multiply -4 and -8 first:

3 - 32

then solve 3-32 and you end up with -29.

HELP ME PLEASE!!!!

Jake rewrites the expression 81x4 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could rewrite the expression?

A.(9x)^4-1^2


B.(9x^2)^2-1^2


C.(9x)^4-1^4


D.(9x)^4-1^2

Answers

Answer:

B

Step-by-step explanation:

find the measure of
someone help me please

Answers

Answer:

Angle B = 131 degrees

Step-by-step explanation:

We know that since there's an angle labeled 139 degrees and a straight line is 180 degrees in total, the other angle is equal to 180 - 139 = 41 degrees.

Since all triangles have 3 angles that add up to 180 degrees and we know that theres a right angle, a 41 degree angle, then angle A must equal to 180 - 41 - 90 = 49 degrees.

We know that vertical angles are congruent, therefore angle C is also equal to 49 degrees.

Angle B and angle A form a straight line, which we have defined as 180 degrees.

180 - 49 = 131 degrees.

Angle B = 131 degrees

32)
Solve for x:
5(x + 1) - 8 = 5x(2 - 4)
A)
-5
B)
5
D)

Answers

Answer:

x should equal three

Step-by-step explanation:

5(x + 1) - 8 = 5x(2 - 4)

5x+1-8=5x-4

5x-7=5x-4

+7 +7

5x= 5x +3

÷ 5 ÷5

×=3

5(x + 1) - 8 = 5x(2-4)
5x + 5 - 8 = 10x - 20x
5x - 3 = -10x
= 5x - 5x - 3 = -10x - 5x
= -3 = -15x
= -3/-15 = -15x/-15
= 0.2 = X
So, in conclusion, X is equal to 0.2

Which table does not represent a
function?

Answers

Answer: G, I think? It’s been awhile

Step-by-step explanation: There is 14 in every box, if i remember correct that means it’s not a function.

What are the values of x and y, based on the figure on the right?

Answers

Answer:

the values of x and y, based on the figure on the right is of b

x=76°,y=48°

y=-2x+4 Complete the missing value in the solution to the equation. (_, -2) NO work SHOWN JUST GET IT RIGHT QUICK!!!

Answers

Answer:

x=3

Step-by-step explanation:

plug in -2 for y. then you can find the x value, which is 3

help pls






d


d
d
d
d
d
d
d
d
dd

d
d
d
dd
dd
d

dr
d
d

Answers

Answer:

X<_ -15.6 (first one)

Step-by-step explanation: I think

Answer:

1#

Step-by-step explanation:

enjoy

Please help, i took a picture of the question.

Answers

Answer:

1.125 m squared

Step-by-step explanation:

Calvin evaluated Negative two-thirds times 5 and one-sixth using the steps below.

Step 1: Negative two-thirds time (5 + one-sixth)
Step 2: (Negative two-thirds + 5) times (Negative two-thirds + one-sixth)
Step 3: 4 and one-third times negative one-half
Step 4: Negative 2 and one-sixth

Which describes Calvin’s error?
In step 1, he incorrectly broke up 5 and one-sixth.
In step 2, he distributed the Negative two-thirds instead of the 5.
In step 2, he confused the multiplication and addition signs.
In step 3, he computed the addition and multiplication incorrectly

Answers

Answer:

Step-by-step explanation:

-2/3 * 5 1/6 .....step 1.....correct

(-2/3 * 5) + (-2/3 * 1/6).....his error is here...it should be like I have written it, but Calvin is getting his addition and multiplication mixed up

-10/3 + (-1/9) =

-30/9 - 1/9 =

-31/9 =

- 3 4/9

Answer:

Step 1

Step-by-step explanation:

Edge 2020

I need help on this pls. Will give brainliest.

Answers

Answer:

a, b, and d

Step-by-step explanation:

you can have the same output, but not the same input

Answer: a, b, d

Step-by-step explanation:

the x values (input values) CANNOT be the same in a set of coordinates; if they do have the same x values, then the are not a function.

both c and e have some of the same x values so they can't pass the vertical line test and therefore are not functions.

hope this helps!!

A city stretches for 480,000 meters in its greatest dimension. The mayor is having a model of the city created. The
model will be 100,000 times smaller than the actual city. How big will the model be in its greatest dimension?

Answers

Answer:

4.8

Step-by-step explanation:

took test

The model of the city would be 4.8 meters in its greatest dimension.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A city stretches for 480,000 meters in its greatest dimension.

And, The model will be 100,000 times smaller than the actual city.

Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.

Therefore, the size of the model in its greatest dimension would be;

⇒ 480,000 meters ÷ 100,000

⇒ 4.8 meters

Thus, the model of the city would be 4.8 meters in its greatest dimension.

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Which inequality is true?

Answers

Answer:

a

Step-by-step explanation:

Answer:

The inequality -2 [tex]\frac{3}{4}[/tex] < -1 [tex]\frac{2}{4}[/tex] is correct.

Step-by-step explanation:

-2 [tex]\frac{3}{4}[/tex] is greater than -1 [tex]\frac{2}{4}[/tex] because the more left the number is on the number line, the smaller.

Therefore the inequality -2 [tex]\frac{3}{4}[/tex] < -1 [tex]\frac{2}{4}[/tex] is correct.

Azif is a project manager for a publishing company. His yearly salary is $65,00. This year he will also get a bonus that is 2% of his salary. What is Azif's gross income?

Answers

Answer:

Gross income= $66,300

Step-by-step explanation:

Giving the following information:

Yearly salary= $65,000

Bonus= 2% of the salary

To calculate the gross income, first, we need to determine the monetary value of the bonus:

Bonus ($)= 65,000*0.02

Bonus ($)= $1,300

Now, the gross income:

Gross income= 65,000 + 1,300

Gross income= $66,300

What is the slope of the equation y = 5x - 7?
o
-7
o
7.

Answers

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 7 ← is in slope- intercept form

with slope m = 5

Answer:

The slope is 5.

Step-by-step explanation:

y=mx+b is the equation used to plot a line, where m is the slope and b is the y intercept.

chicken wings, chicken tenders or chicken nuggets

Answers

Answer:

Chicken wings and tender and nuggets YUMMMMM

Step-by-step explanation:

chicken wings with barbecue sauce

Please graph y=2/3-4.
This is about slope.
I would really appreciate it if you would help.
Thanks!

Answers

I found this for your answer
Ok so you wanna start at the y intercept, which is -4 and make a dot there. The slope is 2/3 which is y over x. So from -4, go up 2 and over to the right 3. You could also go down 2 and to the left 3 because two negatives make a positive.
Sorry the graphs so bad lol

Need help with long multiplication problems need full answers plz

Answers

Answer:

Step-by-step explanation:

94x26=2444

493x61=30073

207x23=4761

740x159=117660

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters. How much shorter is the root across the park than the route around its edges?

Pls help!!! It's due today in about 6 hours!!!!! I would also like a proper explanation instead of the answer itself!!!!

Answers

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Term of the arithmetic sequence 12, 10, 8

Answers

Answer:

[tex]\mathtt{\huge\star{\pink{\underline{ 12,\: 10,\: 8,\: 6,\:4,\:2,\:-1,/:-3........ infinite }}}}\huge\star[/tex]

Which expression has the same value as the one below?
38 + (-18)

Answers

Answer:

D

Step-by-step explanation:

38+(-18) can be changed to 38-18 and the answer will still be the same


A cable company charges $150 to install equipment. Then there is a $50
charge each month. Write an equation to express this relationship.

Answers

Answer:

Need help with this to

Step-by-step explanation:

Whatcha number produces a rational number when added to 0.5

Answers

Answer:

B

Step-by-step explanation:

1/4+0.5=3/5 3/5=0.75 it is a rational number

the other ones are not rational because they are endless numbers

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