Todd has created the following diagram to prove the Pythagorean theorem. He drew (triangle)ABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the hypotenuse. He determines that c/a=a/z and c/b=b/y. Then he determines that cx=a^2 and cy=b^2. What is the next step in proving the theorem?

Todd Has Created The Following Diagram To Prove The Pythagorean Theorem. He Drew (triangle)ABC With Leg

Answers

Answer 1

Answer:

cx + cy = a² + b²

Step-by-step explanation:

Next step is adding up cx and cy:

cx + cy = a² + b²

Then followed by:

c(x+y) =  a² + b²c² =  a² + b²
Answer 2

Answer: cx + cy = a² + b²

Step-by-step explanation:


Related Questions

True or false.
The scale factor of a dilation is the ratio of a length of a side of the image to the corresponding side length of the pre-image.​

Answers

Answer:

true

Step-by-step explanation:

Answer:

true i think

Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn

Answers

Answer:

18

Step-by-step explanation:

3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.

3*3 + (5+2*8) - 12

9 + (5 + 16) - 12

9 + 21 - 12

30 - 10 - 2

20 - 2

18

Answer:

18

Step-by-step explanation:

First what you would do is plug in the numbers.

3x3+(5+2x8)-12

Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.

3x3+(21)-12

Then you add 3 times 3 and get 9.

9+21-12

Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct????The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.

Answers

Answer:

It's the second description

Step-by-step explanation:

It's one of the inequality symbols for greater/less than or equal to, which means the line is solid. Then, y is greater than or equal to 7x-4 which means it will be shaded above the line.

Answer:

The correct answer is the 2nd option

Step-by-step explanation:

Which is a solution to x + 5 = 8?

Answers

Answer:

 x = 3

Step-by-step explanation:

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    x-3 = 0  

Add  3  to both sides of the equation :  

                     x = 3

Then you will get the answer that is  x = 3

Hope this helps

Answer:
x=3
Reason:
x+5=8
-5 from both sides
8-5=3
so x=3

Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same

Answers

Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.

Step-by-step explanation:

Club A can be represented by the equation    y = 23x + 7  where x is the number of months  and y is the cost.

Club B can be represented by the equation   y = 16x + 35  where x is the number of months and y is the cost.

23x + 7 = 16x + 35     set the equation equal each other to solve for x

        -7               -7

23x  = 16x + 28

-16x     -16x

7x= 28

x= 4   now we know the value of  x is 4 so we will put it into the equation and solve for y

y= 16(4) + 35

y= 99

Find the radius of the sphere with the given volume 36πin^3

Answers

The answer is 3 inches

Answer:

3 in.

Step-by-step explanation:

Given these what is X if B-X=A

Answers

Answer:

B

Step-by-step explanation:

B-X=A

or

B-A=X

or

X=B-A

[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]

Answer:

answer is B

Step-by-step explanation:

Find the area. Will mark brainliest.

Answers

Answer:

Step-by-step explanation:

base b = 11 cm

Height h = 6 cm

[tex]Area=\frac{1}{2}bh\\\\=\frac{1}{2}*11*6\\[/tex]

= 11 * 3

= 33 cm²

Answer:

33 cm squared

Step-by-step explanation:

A = 1/2bh

A = 1/2 (11) (6)

A = 1/2 (66)

A = 66/2

A = 33

A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?

Answers

Answer:

[tex]\frac{7\pi}{4}[/tex].

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = [tex]56\pi\text{ cm}^2[/tex]

Formula for area of sector is

[tex]A=\dfrac{1}{2}\theta r^2[/tex]

where, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.

[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]

[tex]56\pi=\dfrac{64}{2}\theta[/tex]

[tex]56\pi=32\theta[/tex]

[tex]\dfrac{56\pi}{32}=\theta[/tex]

[tex]\dfrac{7\pi}{4}=\theta[/tex]

Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].

It's quadratic, linear or exponential?​

Answers

Looks exponential to me

What happens if you decide to cash in your Certificate of Deposit (CD) before its maturity date?

Answers

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation:

I have a book on this kinda stuff! :D

Answer:

If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.

Step-by-step explanation: ED2022

A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly

Answers

Answer:

The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.

Which polynomials are in standard form?

Answers

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

what kind of polynomial is 2x^4-4x^2

Answers

Answer:

Binomial

Step-by-step explanation:

It has 2 terms in the expression

Answer: quadratic polynomial

Step-by-step explanation:

A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.

simplify the following equation
x^5 * x^-3 =x^n
A. 4
B. -2
C. 2
D. 8

Answers

Answer:

x=2

Step-by-step explanation:

x^5 * x^-3 =x^n

We know a^b * a^c = a^(b+c)

x^(5 -3) =x^n

x^2 = x^n

2=n

Answer:

C. 2

Step-by-step explanation:

When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)

What single rigid transformation maps TriangleABC onto TriangleA'BC'?

dilation
reflection
rotation
translation

Answers

Answer:

The answer would be reflection.

Step-by-step explanation:

the answer is reflection because you would reflect it over the axis.

Answer:

Reflection would map ABC to A'B'C'

Step-by-step explanation:

What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.

Answers

Answer:

The y-coordinate of the solution is -5.

Step-by-step explanation:

I graphed the equations on the graph below to find the solution of the system.

If this answer is correct, please make me Brainliest!

I'm in quite in a bit of a pickle... so, please? and I never forget to mark brainiest

Answers

The correct answer is a translation.

A rotation would change the direction, a reflection would change the direction, and a dilation would change the size.

I hope this helps :)

Answer:

translation

Step-by-step explanation:

please help im having trouble with these problems​

Answers

Answer:

B I think

Step-by-step explanation:

can someone explain the Pythagorean Theorem to me​

Answers

Answer:

The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').

Step-by-step explanation:

find the missing angle in the triangle

Answers

Answer:

60

Step-by-step explanation:

Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!

Answer:

60

Step-by-step explanation:

If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.

What is the factored form of the polynomial?
f2 + 9x +20
(x - 4)(x - 5)
(x - 2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)

Answers

Answer:

(x + 4)(x + 5)

Step-by-step explanation:

If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x


Which of the following describe 9.49?

Answers

Answer:take 9x49

Step-by-step explanation:

You’ll get the answer

Math question down below

Answers

Answer:

D. 604

Step-by-step explanation:

411/3 = 137

137 + 388 = 525

----------------------------------

(n) 604 - 79 = 525

D.) is your answer :)

Iris had invited 105 people to her party. She needs 7 large tables to have an equal number of people at each table. Which equation shows how many people will sit at each table

Answers

Answer:

105/7= 15 people will seat at each table.

Step-by-step explanation:

what is the value of x?

Answers

Answer:

you need a d/protector to do this

Step-by-step explanation:

How many 9’s are there between 1 and a 100?

Answers

Answer:

20

Step-by-step explanation:

There’s 11 “9’s” between 2 and 100!

From the moment the first car started how many hours will it take the second car to catch up to the first

Answers

Answer:

HELP

Step-by-step explanation:

will give brainlist if its right!

Answers

Answer:

7/30

Step-by-step explanation:

or 7 out of thirty.

plz correct me if im wrong, ill fix it

Answer:

7/30

Step-by-step explanation:

First you need to add up all the frequency so you know the total number that they has spun which is 30. So you put the total frequency that number 4 has on. Which is  7/30

what is the answer to -12= -2x-4x

Answers

Answer:

x = 2

Step-by-step explanation:

-12 = -2x - 4x

-12 = - 6x

x = -12/(-6) = 2

Answer:

Step-by-step explanation:

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