!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

!30 POINTS! How Can I Use This Trapezoid To Prove The Pythagorean Theorem?

Answers

Answer 1

Answer:

Pythagorean Theorem: c2 = a2 + b2

Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh

Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.

The total area of the trapezoid is : A1 + A2 = ab + ½c2

You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2

You subtract out the 2ab: a2 + b2 = c2.

Then what is left is the proof: a2 + b2 = c2


Related Questions

A pitcher contains 4.5 pints of iced tea. How many fluid ounces of iced tea are in the pitcher?

Answers

Answer: 72 ounces

Hope this helps!

Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did priya raise?

Answers

Answer:

$960

Step-by-step explanation:

2,400 divided by 2.5 = 960

y divided by x = 950 (x) 2,400 (y)

Which of the following is equivalent to 8 1/2 ?

Answers

Answer:

1 5/8 is equal to 13/8

Step-by-step explanation:

A real estate agent has $500 to spend on newspaper ads. If each ad costs $100, how many ads will the real estate agent be able to buy?

Answers

The real estate agent can buy 5 ads

Answer this for likes and a crown

Answers

Answer:

The unit cost is 25 cents for 1 oz of cereal, because 4/16 = 1/4, convert to cents.

Hope this helps and have a nice day:)

Step-by-step explanation:

Answer:

Your answer should be the 3rd one.

Step-by-step explanation:

his friends eat 6/10 what fraction are left

Answers

Answer:

3/5

Step-by-step explanation:

4/10 are left. We can reduce it and get 2/5.

Hope it helps you!

[tex]JoyfulLass[/tex]

[tex]Genius[/tex]

[tex]IAmHereToHelpYou[/tex]

- seventy - two times nine

Answers

Answer:

-648

Step-by-step explanation:

If that is a negative 72 then it would be -648

If a positive 72, it would be 648.

Hope this helps!

what is (4x-3)(x-11) do you know

Answers

Answer:

[tex](4x - 3)(x - 11) = 4 {x}^{2} - 47x + 33[/tex]

Answer:

4x^2 - 47x + 33

Step-by-step explanation:

1. To multiply binomials, we must apply the FOIL method, meaning:

F = Multiply first term in first parentheses by first term in second parenthesesO = Multiply outside term in first parentheses by outside term in second parenthesesI = Multiply inside term in first parentheses by inside term in parenthesesL = Multiply last term in first parentheses by last term in second parentheses  

2. (Solving)

[tex](4x-3)(x-11)[/tex] [tex](4x)(x) + (4x)(-11) + (-3)(x) + (-3)(-11)[/tex]  [tex]4x^2 - 44x - 3x + 33[/tex] [tex]4x^2 - 47x + 33[/tex]

Therefore, the answer is 4x^2 - 47x + 33

ry+r= x - t solve for x

Answers

Answer:

Step-by-step explanation:

ry+r=x-t

ry+r+t=x

x=r(y+1)+t

What is 4^3 written in expanded form? ​

Answers

Answer:

64

Step-by-step explanation:

4^3, means 4*4*4, and it is very simple to calculate when you break it down to 4*4= 16 and then 16*4=64. So your final answer is 64.

A truss or staircase frame from the custom steel products cost $2.25 for each rod plus $50for shipping and handling

Answers

The equation that can be used to represent the cost paid for the staircase frame is 50 + 2.25x

Based on the information given, let the number of rods be represented by x.

Fixed cost = $50

Variable cost = $2.25 × x = 2.25x

Therefore, the equation to calculate the total cost will be:

= Fixed cost + Variable cost

= 50 + 2.25x

Therefore, the equation to represent the fact that the staircase frame cost $2.25 for each rod plus $50 for shipping and handling is 50 + 2.25x

Read related link on:

https://brainly.com/question/25219532

If x^2= 20 what is the value of x

Answers

x^2 = 20.

sqrt(x^2) = sqrt(20)

x = +- 2sqrt(5)

Answer:

2[tex]\sqrt{5}[/tex] and -2[tex]\sqrt{5}[/tex]

What is the LCD of 2/3,4/5,7/10 and ?

Answers

Answer:

30

Step-by-step explanation:

2/3 = 20/30

4/5 = 24/30

7/10 = 21/30

Answer: 30

Step-by-step explanation: 2/3 = 20/30, 4/5 = 24/30, 7/10 = 21/30

HELP PLSSS THIS IS HARD SOMEONE

Answers

Answer:

the last choice

Step-by-step explanation:

i mean, you judt gotta find the points of the letters.

you can first find the coordinates of point A, which is 3, 2

based off of that, the rest of the answer choices don't have A as 3, 2.

so, with Process of Elimination, its the last one.


What is the inverse

Answers

Answer:this is the answer

Answer:

[tex]f^{-1}(x)=3x-6[/tex]

Step-by-step explanation:

Let's replace [tex]f(x)[/tex] with [tex]x[/tex] and replace [tex]x[/tex] with [tex]f^{-1}(x)[/tex] ad solve.

[tex]x=1/3*f^{-1}(x)+2[/tex]

[tex]x-2=1/3*f^{-1}(x)[/tex]

[tex]f^{-1}(x)=3(x-2)[/tex].

[tex]\boxed{f^{-1}(x)=3x-6}[/tex]

Can someone please help me out ​

Answers

Answer:

U

Step-by-step explanation:

FINE ASHAlways include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

The G.C.D and L.C.M of three numbers are 3 and 1008 respectively. If two of the numbers are 48 and 72 ,find the least possible value of the third number​

Answers

formula= LCM ×GCD of the numbers ÷ The first number

Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. I = prt I = 275(.8)(12) I = 2,640 a. What did Peter do incorrectly? b. What is the correct amount of interest I NEED HELP.

Answers

Answer:

What Peter did wrong was that he should have multiplied 275 by 0.08 and 12, not 0.8 and 12. The correct amount of interest he will earn is $264.

can you please solve for x

Answers

Answer:

x=11

Step-by-step explanation:

15+5x+5x-7=118 [An exterior angle of a triangle is equal to the sum of the two opposite interior angles]

10x=118-8

x=110/10

x=11

There are 454 grams in a line. There are 16 ounces in a pound.How many grams are in an ounce?

Answers

Answer:

28.375 (rounded to 29 grams)

Step-by-step explanation:

there are about 454 grams in a pound and 16 ounces in a pound, so to find the relationship we divide 454 by 16 to get 28.375 or about 29 grams

What is the answer to this problem and how do u solve it. -8 - 9 =

Answers

Answer:

not possible

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

(I originally posted this as a comment because Brainly was not allowing me to answer).

-8 is a negative number, which means many operations don't work the same on it. Subtracting a positive number from a negative number will give you the same result as adding the two positive numbers (in this case, 8 + 9), though the answer will also be negative. Hope this helps!

This graph shows a reciprocal parent function.
Which statement best describes the function
A. The function is always increasing
B. The function is increasing when x<0
C. The function is never increasing
D. The function is increasing when x>0

Answers

Answer:

C. The function is never increasing

Step-by-step explanation:

According to the graph, the line goes down in both sections as the value of x increases. It means the function is always decreasing.

Correct answer choice is:

C. The function is never increasing

The best describes the function is,

''The function is never increasing.''

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

This graph shows a reciprocal parent function.

Since, We have;

According to the graph, the line goes down in both sections as the value of x increases.

It means the function is always decreasing.

Hence, Correct answer choice is:

C. The function is never increasing.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

it is a polynomial equation of degree two that can be written in tche form, where a,b, and c are real numbers and a =/

Answers

Answer:

A quadratic function is a second degree polynomial function. The general form of a quadratic function is this: f (x) = ax2 + bx + c, where a, b, and c are real numbers, and a≠ 0.

An engineer earns $108 000 annually. Deductions
of $3 975 are made each month.
Calculate:
(a) his gross monthly salary
(b) his net monthly salary

Answers

Answer:

9,000

5,025

Step-by-step explanation:

Problem 2: A ball is dropped from rest from a height of 6 meters, Find the time it takes the ball
to fall. Find the velocity of the ball just before it hits the earth. Assume no air resistance and
that acceleration due to gravity (g) is 9.8 m/s/s.

Answers

Answer:

1.11 s , 10.88 m/s

Step-by-step explanation:

Initial velocity and air resistance = 0

Time to fall : s = 1/2 gt²

6 = 1/2 * 9.8 * t²

t² = 1.224

t = 1.11 s

final velocity = initial velocity + gt

                    = 0 + 9.8 * 1.11

                    = 10.88 m/s

Please only answer if you have an actual answer. Worth 20 points

Answers

Answer:

c

Step-by-step explanation:

4(5y-2) = 40

what is y?

Answers

Answer: 4(5y−2)=40

Divide both sides by 4.

5y−2=  

4

40

 

Divide 40 by 4 to get 10.

5y−2=10

Add 2 to both sides.

5y=10+2

Add 10 and 2 to get 12.

5y=12

Divide both sides by 5.

y= 12/5 or 2.4 please give brainliest

Step-by-step explanation:

ill give brainlyist Write the equation of the line that passes through the points (-1,3)(−1,3) and (-6,-7)(−6,−7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

negative slope intercept

Step-by-step explanation:

Please help!! BRAINLIEST to correct answer!!

Answers

I’m not sure if this is right I hope it helps but you weren’t five to the right with the negative one to the four so you have to go five to the left making it -6 for the first coordinate and then he went 13 to the left for the second coordinate so you have to go 13 to the right 6+13 is 19. So your answer is -6, 19 hope this helps!

Owen is fishing. he starts with the bait 2 feet below the water. he reels out the bait 19 feet, then he reels it back in 7 feet. what is the final position of the bait

Answers

Answer:

the answer is 14

Step-by-step explanation

the math problem is just 2+19-7 or 21-7

Other Questions
how can juggling improve your hand eye coordination? Sam is mixing paint for his bedroom. IN a can he has mixed 4 oz of white paint with 1 oz of royal blue. HIs room will require one gallon of paint to cover all the walls. How much blue paint should he add to one gallon of white to create the color he likes? 128 oz = 1 gallon what happenings are events around the world should students need to know An adult ticket to the school play cost $14.75. A child ticket cost $5.25. Mr. Montes bought 2 adult tickets and 4 child tickets. 6. There are 12 girls and 8 boys inMs. Sander's class. Each day, sherandomly asks one student to takeattendance. In 180 school days, whichis the best prediction for the number oftimes that the student will be a girl?A. 72(B. 90C. 99D. 108 The system of equations(2x - y = 2(x+1)hasly=-2no solutionone solutioninfinitely many solutions HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I wont get confused. Thank u! Solar panels convert _______ energy to ______ energy which can be used to heat water 3. Given the following equation:2 K+ Cl2 --->2 KCIHow many grams of KCl are produced from 2.50 g of K and excess Cl2? show work. 6. What year did South Africa first gain self-rule?1961193219107. Why was the African National Congress formed?To fight for equal rightsTo fight for separation of church and stateTo help Africa and China join forces The area of a SQUARE is 22 ft2. Which of the following is the closest tothe length of each SIDE of the square? which of these sentences is the best example of using sensory details to help the reader visualize the tsunami #1 in cesar chavez movie who locked themselves in a barn or their camp why did they do this?#2 What was the going rate of pay for an immigrant farm worker in the 1960's?#3 what does HUELGA mean#4What influencer from Washington was a big supporter of the Chavez and United Farm Workers movement?#5 Farm workers and strikers alike were beaten and arrested after what major political event?#6 Which US president promised the land owners to sell their grapes in Europe?#7 Where did Chavez travel after the strike lost momentum in the US and the landowners had ties with higher ups in Washington?#8 What was the key to Chavez and the United Farm Workers to "winning over" Europe?#9 how long did the strike last for the farm workers Please help you dont have to answer all questions if you know even one question comment it and refer to the number youre answering and please no links i dont know how to get to them This is all about Cesar Chavez and his work How many quarters are there in 422?2134Answer. outline the reasons for discontent with the Catholic Church that eventually led to the Reformation Find the value of x in the triangle shown below x 42 106 An event that is guaranteed to happen has a probability of exactly Helppppp plzzzzzzz!!!!!! 15+PTS and brainliest!!!!!Why if most American historians have concluded that it wasnt necessary to drop the atomic bomb on Japan to end the war. Do so many Americans continue to believe that dropping the atomic bomb ended the war? 8th grade math !! g(x) = x+6/2Determine for each x-value whether it is in the domain of g or not.-6 0 2 The U.S. Constitution most reflects the principle of limited government by A. letting people over the age of eighteen voteB. allowing the President to only serve two termsC. allowing states to coin moneyD. making the President the Commander in Chief of the armed forces