Choose the correct reason to justify each of the first four statements in the derivation.


Easy points, please just enter a random answer or repeat the answers.
If it's hard to see the answers are Pythagorean Theorem, rearrange the previous statement, Pythagorean Theorem, and Expand (b-x)2

Choose The Correct Reason To Justify Each Of The First Four Statements In The Derivation.Easy Points,

Answers

Answer 1

Answer:

1) a2 = h2 + x2

✔ Pythagorean theorem

2) h2 = a2 - x2

✔ Rearrange the previous statement

3) c2 = h2 + (b-x)2

✔ Pythagorean theorem

4) c2 = h2 + b2 -2bx + x2

✔ Expand (b – x)2

Step-by-step explanation:

Answer 2

The Pythagorean Theorem could be represented mathematically as follows, Here, c represents the length of the hypotenuse (the longest side), or b or a are the lengths of the other 2 sides. From the equation, you can easily find the value of the 1 side if you have the values of the other 2

1) a2 = h2 + x2

Pythagorean theorem

2) h2 = a2 - x2

Rearrange the previous statement

3) c2 = h2 + (b-x)2

Pythagorean theorem

4) c2 = h2 + b2 -2bx + x2

Expand (b – x)2

What made Pythagoras think of the Pythagorean theorem?

The number 1 : the number of reason.The number 2: the first even and female number, the number of opinion.The number 3: the first true male number, the number of harmony.The number 4: the number of justice or retribution.The number 5: marriage.The number 6: creation

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Related Questions

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units. What is the length of the hypotenuse?

Answers

The required measure of the hypotenuse length is √544. Option D is correct.

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.

What are Pythagorean triplets?  

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)²  = 544
hypotenuse = √544

Thus, the required measure of the hypotenuse length is √544. Option D is correct.

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Evaluate the expression when x-6

5x + 3
———-
3
Please explain too! I will give Brainiest

Answers

If x=6 then that’s 5(6) =30+3 =33 and if your dividing 33/3 makes 11

ill give yall sloppy topy if yall answer ​

Answers

u gone give us whattt ??

Answer:

I'm good but your answer is B. or the Second option among your choice of answers

plz help me asap i need this

Answers

Answer:

67

Step-by-step explanation:

Please help ASAP brainliest for correct answer

5.6 litres to nearest 0.5litres

Answers

5.5 or 6 litres.

not sure though, let me know if I’m incorrect lol.

have a good day!


Louis has $300 to spend on a pair of skis. Sales tax is 8.5%
Part A
Decide if each description of a price and discount, plus sales tax, is an amount Louis could pay with the money he has to spend on skis.
Select Less than or equal to $300 or More than $300 for each description
20% off $339
Less than or equal to $300
More than $300
$15 off $310
Less than or equal to $300
More than $300
25% off $365
Less than or equal to $300
More than $300
$20 off $300
Less than or equal to $300
More than $300

Answers

Answer:They are all Less Than

Step-by-step explanation:

What is the answer to this problem step by step (3+2)^2×7)-13+5^2?

Answers

Answer:

187

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(3 + 2)² × 7 - 13 + 5²

Step 2: Evaluate

(Parenthesis) Add:                     5² × 7 - 13 + 5²Exponents:                                 25 × 7 - 13 + 25Multiply:                                      175 - 13 + 25Subtract:                                     162 + 25Add:                                            187

If 9(x-9) = -11, then x= ?
A. - 92/9
B. -20/9
C. - 11/9
D. -2/9
E. 70/9

Answers

The answer is x= -11/9

PLSSSSSSSS HELLLLLPPPPPPP!! BRAINLIEST FOR CORRECT ANSWER!!!!!!!!!!!!!!Find the amount paid for the loan. $2400 at 10.5% for 5 years

Answers

So they pay $1,260 in interest with I=PRT
add that to the principle, which gives you $3,660

Answer:

3,660

I hope this helped

An Avon sales lady buys a make-up kit for $120 and sells it for $65 more. What is the percent of markup? 37.5%

Answers

Answer: 54.2%

Step-by-step explanation:

The percent mark-up refers to how much higher you sell a product than what you bought it for expressed as a percentage of what you bought it for.

In this case, the woman bought it for $120 and sold it for $65 more.

Cost = $120

Markup = $65

Markup percentage = 65 / 120 * 100%

= 54.2%

Take your time with this. Just try to help me with this.

Answers

Answer:

A.

The y intercept is at 0,550 for the city of Everett. That means that initially the city started out with 550 Chromebooks.

B. y = 50x + 300

Step-by-step explanation:

A.

The y intercept is at 0,550 for the city of Everett. That means that initially the city started out with 550 Chromebooks.

For all the years after is when the line graph goes up which means they are adding to their total number.

B.   For the city of Revere, they started out with 300 and are adding 50 Chromebooks every year.

Y represents the total and x is each counting year.

So the equation of the line is represented by y = mx + b

b is any constant which in this case is any initial amount (300)

and m is the rate/change which is the number represented by the value that will go up ever year of x (50)

So plug it all in equals:

y = 50x + 300

An online service charges $3 for each downloaded movie, plus a monthly fee of $6,50 Which function represents this
situation?
OY=3x6.50
OY"65073
Oy 3x6.50
OY=650x3



I need bad help.

Answers

Answer:

ANSWER

y = 3x + 6.50

EXPLANATION

The $3 for each downloaded movie is the unit rate of change.

This is represent the slope of the linear function that models this situation.

The monthly fee of monthly fee of $6.50 the constant rate.

It represents the y-intercept of the function.

The linear function is given by

y = mx + by=mx+b

The correct choice is y = 3x + 6.50

Answer:

A. Y= 3x6.50

Step-by-step explanation: This is the correct answer, because you can use the process of elimination on answers B and C due to how they are set up. And D is incorrect, because there is no decimal in 650 which is not the correct number in the problem. Therefore, A. Y= $3 for each downloaded movie multiplied by the monthly fee of $6.50 is the correct answer. Hope this helps ^-^.

so say if its 4:30 pm now for me, what time will it be in 4 and a half hours? im lazy lolz

Answers

Answer:

9:00

Step-by-step explanation:

9:30 or either 9 but yea

What is ghe solution to this equation?
02(x - 20) = 44 - x

Answers

X= 40 is the answer to this equation

The given equation can be solved to obtain x = 40.

What is a Linear equation?

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The given linear equation can be solved as follows,

0.2(x - 20) = 44 - x

=> 0.2x + x = 44 + 0.2 × 20

=> 1.2x = 48

=> x = 48/1.2

       = 40

Hence, the value of x for the given equation is found to be 40.

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ah hurry!

In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick the number 3 and then picking the number 6.

A: 1/100
B: 1/10
C: 3/10
D: 6/10

Answers

Answer: A

Step-by-step explanation: 10x10=100

Caitlin earns $7.00 an hour doing yard work for her neighbor. She worked 3 hours Friday, 4 hours Saturday, and more hours Sunday. She earned $77.00 for the weekend. How many hours did she do yard work on Sunday?

Answers

Answer: 4 hours

Step-by-step explanation:

$77.00 divided by $7.00 = 11 hours

11 hours- 3 hours (Friday)- 4 hours (Saturday)= 4 hours on Sunday

A total of 7 hours worked on Fri. and Sat.

Answer:

Caitlin worked 4 hours on Sunday.

Step-by-step explanation:

The answer is 4 hours because 7.00 multiplied by 7 (Because 3 + 4 = 7) is 49.00 and 77.00 minus 49.00 = 28.00 and since 1 hour = 7.00 and 7.00 multiplied by 4 is 28.00 then the answer must be 4 hours.

P.S Can I have brainliest?

What is 5% of £320? I really need to know

Answers

Answer:

5% of 320 is 16

you multiply 320 by .05 to get 16

Answer: 16

Step-by-step explanation:

Solution for What is 5 percent of 320:

5 percent *320 =

(5:100)*320 =

(5*320):100 =

1600:100 = 16

Now we have: 5 percent of 320 = 16

What is the exponent in the power of 10?

Answers

X^10 the exponent would be 10

Are the two ratios equivitant? Explain your reasoning. The ratios of boys to girls is 5 to 2. The ratio of girls to boys is 2:5​

Answers

Answer:

Yes

Step-by-step explanation:

The order is switched from boys to girls(5 to 2)to girls to boys (2 to 5).

ashley is 4 years less than 3 times savannahs age. if ashley is 29 years old, how old is savannah? please help!

Answers

Answer:

11 years old

Step-by-step explanation:

Let x be Savannah's age

Ahsleys age should be 4 years less than three times Savannah's age

3x (Savannah) - 4 (years)

Then, you make an equation.

29 years old = 3x-4

simplify:

add four on both sides

33=3x

divide by three on both sides

x=11

If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº

Answers

Step-by-step explanation:

therefore the third angle is 51 degrees

what is the sum of the interior angles of a polygon that has 16 sides

Answers

2520
16-2=14x180=2520

Identify the number of solutions for the equation below:

Answers

Answer:

one solution

Step-by-step explanation:

Given  the expression

3 -x = 2+x

We re to find the number of solutions we will have:

Subtract 2 from both sides

3-x-3 = 2+x -3

-x = x -1

subtract x from both sides

-x - x = x - 1 - x

-2x =-1

Divide both sides by -2

-2x/-2 = -1/-2

x = 1/2

Since the value of x is just 1, hence the equation has just one solution.

5/7(14-21x)=115
what is the answer?

Answers

Answer:

-7

Step-by-step explanation:

Alright people..guess the lyrics if u don't get it right your not an arianator :)

"Somethin' 'bout you makes me feel like a dangerous woman"

Answers

something bout, something bout you, makes me wanna do things that i shouldnt

Don't need permission

Made my decision to test my limits

Cause it's my business, God as my witness

Start what I finished

Don't need no hold up

Taking control of this kind of moment

I'm locked and loaded

Completely focused, my mind is open

All that you got, skin to skin, oh my God

Don't ya stop, boy

Somethin' 'bout you makes me feel like a dangerous woman

Somethin' 'bout, somethin' 'bout, somethin' 'bout you

Makes me wanna do things that I shouldn't

Somethin' 'bout, somethin' 'bout, somethin' 'bout

Nothing to prove and I'm bulletproof and

Know what I'm doing

The way we're movin' like introducing

Us to a new thing

I wanna savor, save it for later

The taste of flavor, cause I'm a taker

Cause I'm a giver, it's only nature

I live for danger

All that you got, skin to skin, oh my God

Don't ya stop, boy

Somethin' 'bout you makes me feel like a dangerous woman

Somethin' 'bout, somethin' 'bout, somethin' 'bout you

Makes me wanna do things that I shouldn't

Somethin' 'bout, somethin' 'bout, somethin' 'bout you

All girls wanna be like that

Bad girls underneath, like that

You know how I'm feeling inside

Somethin' 'bout, somethin' 'bout

All girls wanna be like that

Bad girls underneath, like that

You know how I'm feeling inside

Somethin' 'bout, somethin' 'bout

Somethin' 'bout you makes me feel like a dangerous woman

Somethin' 'bout, somethin' 'bout, somethin' 'bout you

Makes me wanna do things that I shouldn't

Somethin' 'bout, somethin' 'bout, somethin' 'bout you

All girls wanna be like that

Bad girls underneath like that

You know how I'm feeling inside

Somethin' 'bout, somethin' 'bout

All girls wanna be like that

Bad girls underneath like that

You know how I'm feeling inside

Somethin' 'bout, somethin' 'bout

Yeah, there's somethin' 'bout you boy

Yeah, there's somethin' 'bout you boy

Yeah, there's somethin' 'bout you boy

Yeah, there's somethin' 'bout you boy

(Somethin' 'bout, somethin' 'bout, somethin' 'bout you)

Yeah, there's somethin' 'bout you boy

Yeah, there's somethin' 'bout you boy

Yeah, there's somethin' 'bout you boy

Yeah, there's somethin' 'bout you boy

(Somethin' 'bout, somethin' 'bout, somethin' 'bout you)

a shoe store has a sale in which all shoes are priced at $33.00. the original price was $44. what is the percent of discount. ​

Answers

Answer:

44 - 33 = 11

11/44 X 100 = 25%

Step-by-step explanation:

find the difference between the original price and new price (change)

change/original price X 100 = percentage change

The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. What is [H+] if the pH=8.8?

Answers

Answer:

3.5

Step-by-step explanation:

The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

What do you mean by pH ?

The term pH is defined as the negative logarithm of the [H+] hydrogen ion.

The isolated hydrogen ion, represented by the symbol H+, hence it is used to represent a proton. Because the bare nucleus can readily combine with other particles like electrons, atoms, and molecules, the  hydrogen ion.

The formula for calculating [H+] hydrogen ion is as follows:

pH = - log[H+]

Given pH = 8.8

8.8 = - log[H+]

-8.8 =  log[H+]

Taking Antilogarithm Both side

Antilog of [-8.8] = [H ]

By solving above expression [H+]

= 1.58 x 10⁻⁹

Thus, 1.58 x 10⁻⁹ is [H+] if the pH=8.8.

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The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E

What additional Information is sufficient to prove that parallelogram ABCD is also a rhombus?

Answers

9514 1404 393

Answer:

  D.  AC ⊥ BD

Step-by-step explanation:

Given that  ABCD is a parallelogram, we already know A (BD bisects AC) and B (AB ║ CD). Statement C (AC ≅ BD) will not be true for a parallelogram or rhombus.

Statement D (AC ⊥ BD) guarantees the parallelogram is a rhombus.

24a+48=9(2a-4) please

Answers

Answer:

a = -14

Step-by-step explanation:

1. distribute

24a + 48 = 9(2a - 4)

24a + 48 = 18a - 36

2. subtract 48 from both sides of the equation

3. simplify

4. subtract 18a from both sides of the equation

5. simplify

6. divide both sides of the equation by the same term

7. simplify

solution: a = -14

hope this helped!

least common multiple of 9, 12, 18​

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

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