!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!

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:

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

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


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]

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 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.

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!

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)

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

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!

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

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

Answers

Answer:

c

Step-by-step explanation:

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.

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]

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:

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

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]

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

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

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:

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

Answers

Answer:

1 5/8 is equal to 13/8

Step-by-step explanation:

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:

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.

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

- 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!

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

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.

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

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

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