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

Denise has $4.25 and needs to buy school supplies. She has a package of pencils that costs $1.75, a notebook that costs $1 and some erasers (x) that costs $0.25 each. At most, how many erasers can denise buy?

Answers

Answer:

6 erasers

Step-by-step explanation:

The pencils and the notebook together cost $2.75, from there you can calculate how many erasers.

1 eraser would bring the total to $3, therefore Denise can buy $1.25 more of erasers which is 5. 3 + 1.25 is $4.25. therefore Denise can buy 6 erasers

Answer:

he can buy 6 erasers

Step-by-step explanation:

because if you add 1.75 plus one and add 0.25 ....6 times it will equal 4.25 i hope this was helpful

Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more

Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.

b. 2x - 7 and the opposite of 2x

Answers

Answer:

-70x

Step-by-step explanation:

The sum of twice a number and 18 is 5 less than three times the number, Write the
equation and find the number.

Answers

Step-by-step explanation:

Let x represent the number.

We have 2x + 18 = 3x - 5, therefore x = 23.

The number is 23.

what is the graph for y=2x+1

Answers

Here I think this is the answer

Solve for the variable.
6x-5=12

Answers

Answer:

6x-5=12 +5

6x=17 :6

x=2.8333333333

Step-by-step explanation:

prove me wrong

2(x-6)+3x+4=

Helpppppp.

Answers

Answer:

5x + (-8)

Step-by-step explanation:

2(x-6)+3x+4=

Distribute:

(2)(x)+(2)(−6)+3x+4

=2x+−12+3x+4

Combine Like Terms:

(2x+3x) + (-12+4)

= 5x+(-8)

Hhhjeeeeelllppppp pppplllllsss

Answers

Answer:

c= 89

Step-by-step explanation:

the angles of a triangle add up to 180

in this triangle, our angles are:

c-33

c-25

c-29

this means that

(c-33) + (c-25) + (c-29) = 180

3c - 87 = 180

add 87 to both sides

3c = 267

divide both sides by 3

c = 89

PLEASE HELP! <3
What is the slope of the line?

Answers

Answer:

0

Step-by-step explanation:

The slope formula is (change in y)/(change in x)

since the numerator (change in y) is 0, the slope will be 0

A rectangular swimming pool is 28 feet wide. Jason drew the pool at the scale below. 1 inch : 4 feet How many inches wide is Jason's drawing?

F. 4 inches
G. 7 inches
H. 14 inches
J. 21 inches

Answers

Jason’s pool is 7 inches wide because you have to multiply Length and Width so 4x7=28 so the answer is G.7 inches

PLEASE HELP ME WITH THIS

Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back with 3% simple interest every month for one year. What is the total amount of money Gwen will owe her parents? *
Just enter the numerical portion of your answer - no dollar signs or change needed!

Answers

Answer:

408

3 percent of 300 is 9.

So it is $9 every month times 12 months

is equal to 108 so add the 300 on top of the 108 = 408

Step-by-step explanation:

If the circumference of a circle is rational, the area is always rational.

Answers

Answer:

Yes!!!

Step-by-step explanation:

Since π is non-terminating non-recurring i.e., an irrational, thus the area will always be rational provided with the circumference is rational.

In the figure, angle E measures 54° and angle G measures 29°. What is the measurement of angle H?

A.
25°
B.
34°
C.
97°
D.
126°

Answers

Answer:

H=97 degrees or choice "C"

Step-by-step explanation:

Assuming this is a triangle:

All triangles contain 180 degrees, so:

180=E+G+H, or H=180-E-G

H=180-54-29

H=97

H=97 degrees or choice "C"

7+(-4) please help thank you

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Note that adding a negative quantity is equivalent to subtracting the negative quantity, that is

7 + (- 4) = 7 - 4 = 3

What is the y-intercept of a line that passes through the points (2,7) and (6, 1)?

Answers

Answer:

Step-by-step explanation:

The y-intercept is 10 of the line that passes through the points (2,7) and (6,1).

What is a slope intercept?

The equation of a line is found using the slope-intercept form of a straight line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula. Consider a straight line with y-intercept b and slope m. For a straight line with slope "m" and y-intercept "b," the slope intercept form equation is: y = mx + b.

Given that the points are (2,7) and (6, 1).

To find the equation, using the slope formula;

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 -7) / (6-2)

m = -6/4

m = -3/2

Now to find the slope intercept form,

y = (-3/2)x + b,

here b is the y-intercept.

Now we will substitute the value of (2,7) in the slope intercept equation.

Hence, b = 10

Therefore, the y-intercept is 10 of the line that passes through the points (2,7) and (6,1).

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Simplify the expression so there is only one positive power for each base. ​

Answers

i hope you understand

What is the angle measurement for 3/8 of a circle ??

Answers

Answer:

3pi/11...

.

.

.

...

.

.

.

.

...

...

...

Answer:

135

Step-by-step explanation:

360/8=45

45x3=135

What is 25*25?
Yehawwwwwwww

Answers

Answer:

625

Step-by-step explanation:

Answer:

25×25

25

× 25

______

125

+ 500

_______

625

I need help solving this practice question​

Answers

Answer:

Answer is the 3rd one

Step-by-step explanation:

They are asking to see what other angle looks equivalent  to angle Y, so simply just look at the other angles and later you come to find that angle C is an exact match compared to angle Y.

Have a great day!

Help pls thank you !!

Answers

Answer:

B is correct 4⁷ is the final answer

Evaluate d−7 when d=10.

d−7=
plsss i need an answer

Answers

Answer:

Its 3

Step-by-step explanation:

If we know that d is 10 we can substitute d for 10 thus giving us 10 - 7 which is 3

Answer :

We are given,

d - 7 .....[eqⁿ (i)]

and we are also given the value of d :

d = 10

Now, just put the value of d = 10 in eqⁿ (i) we get :

10 - 73

Hence your final answer is 3.

3y=-6x+1 solve for y

Answers

Answer:

y= 2x +1/3

Step-by-step explanation:

3y= 6x+1

divide the whole equation by 3 to isolate y

y= 2x+1/3

Following are the calculation to the given value:

Given:

[tex]3y=-6x+1[/tex]

To find:

[tex]y=?[/tex]

Solution:

[tex]\to 3y=-6x+1\\\\\to y=-\frac{6x+1}{3}\\\\\to y=-\frac{6x}{3}+\frac{1}{3}\\\\\to y=-2x+\frac{1}{3}\\\\[/tex]

The final value of y is "[tex]=-2x+\frac{1}{3}\\\\[/tex]".

Learn more:

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C=5/9(F−32)


The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?


1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.


2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.


3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.


A) I only

B) II only

C) III only

D) I and II only

Answers

Answer:

D) I and II only

Step-by-step explanation:

Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more than Dalila.

If x = the amount raised by Carmen, choose the expressions that represent the amount each other player raised.

Answers

Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.

Since they're money sum up to $95.34, the first expression will be;

x+y+z=95.34

Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;

y=x-12.12

Cesar_x_raised $35more than Dalila_z. So the equation will be;

x=z+35

making z the subject, z=x-35 .

Substituting the Second equation into the first one, we get;

x+x-12.12+z=95.34

Subtracting the third equation into the new equation we get;

x+x-12.12+x-35=95.34

Simplifying, we get 3x- 47.12= 95.34.

3x=142.46

ILL GIVE BRAINLIEST PLEASE HELP THE PICTURE IS ATTACHED

Answers

Answer:

Its C x=4, -4

explanation:

Take the root of both sides and solve

The graph shows the amount of money Miguel earns after working x hours.



What is the rate of change of the amount earned with respect to hours worked for this function?

hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
What is the slope of the line?

−3


3

Answers

Answer:

13 dollars

and slope is 3

Step-by-step explanation:

What is the highest common factor of 45 and 315?

Answers

The highest common factor is 45

The GCF of 45 and 315 is 45. So before conformation of my answer refer to your math teacher .

What is the mean of the set {4, 6, 8, 10}?

Answers

Answer:

Step-by-step explanation:

8 I think

Answer:

Defination:

.the collection of distinct elements or members.

Step-by-step explanation:

What is the ratio of boys to girls in Mrs. Carlton's class, which has a total of 31 students, 14 of whom are girls?

Answers

Answer:

17:14 or 17 to 14

Step-by-step explanation:

since you know there are 14 girls, subtract 14 from 31 and then you'll get 17. since its asking for a ratio of boys to girls not girls to boys, you put boys first, then girls. so your answer will be 17:14

Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
What does X equal?

Answers

Answer:

3.2 plz help me to

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

A plane took 3h 33 min to finish a journey. If the distance of the journey was 2840 miles, at what average speed did the plane travel?
____ mph

Answers

Answer:

The average speed of the plain was 800 miles/h

Step-by-step explanation:

Speed = distance/time

= 2840/ 3h 33mins
= 2840 / 213
= 13.3

Therefore the speed of the plane is 13.3 mph
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