The figure below can be used to prove the Pythagorean Theorem. Use the drop-down menus to complete the proof. b Click the arrows to choose an answer from each menu. The expression Choose.. represents the area of the figure as the sum of the area of the shaded triangles and the area of the white square.

Answers

Answer 1

The expression 2ab + [tex]c^2[/tex]  represents the area of the figure as the sum of the area of the shaded triangles and the area of the white square.

The equivalent expression [tex]a^2 +b^2+2ab[/tex] use the length of the figure to represent the area.

[tex]2ab +c^2=a^2+b^2+2ab[/tex]

Subtracting 2ab from both sides

[tex]c^2=a^2+b^2[/tex]

Figure of a square with some shaded triangles.

Area of the triangle formula is 1/2 times base times height

base =a and height =a

Area of one triangle = 1/2ab

There are 4 shaded triangles

Area of 4 shaded triangles = 4 x 1/2ab

Area of the square = side times side

Now we find the area of outer square. side length is a+b

Area of outside square = (a + b)(a + b) = [tex](a+b)^2[/tex] = [tex]a^2 +b^2+2ab[/tex]

Using the length of the figure to represent the area.

Thus, now set both the areas equal to each other.

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Your question seems incomplete, the probable complete question is

The Figure Below Can Be Used To Prove The Pythagorean Theorem. Use The Drop-down Menus To Complete The

Related Questions

a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9​

Answers

Answer:

$3

Step-by-step explanation:

45/3=15

15/5=3

Divide. Then, check your work with multiplication. 12.21 / 11

Answers

Answer:

1.11

Step-by-step explanation:

Answer:

1.11

Step-by-step explanation:

12.21/11 is equal to 1.11

to check with multiplication, 1.11*11 = 12.21

Si un ladrillo de adobe pesa 20kg. mas de la mitad de su peso. ¿Cuanto pesara un ladrillo y medio?​

Answers

Answer:

pesaria 2.25 kilos

explicacion

2x +5y = -7
7x + y = -8
Solve by substitution SHOW WORK!

Answers

Answer:

x = 1, y = -15

Step-by-step explanation:

7x + y = -8 ⇒ y = -7x-8

2x + 5y = -7

substitute -7x-8 for y:

2x + 5(-7x-8) = -7

2x - 35x - 40 = -7

-33x - 40  = -7

-33x = -33

x = 1

y = -7x-8 = -15

Five higschool friends all happen to be female born in 2003 assuming that the survival of each ine is independent what is the proablity that at least one lives to be 100 year old

Answers

Answer:

15%

Step-by-step explanation:

A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city. The researcher wants to determine whether there is convincing statistical evidence that more than 50 percent of households in the city gave a charitable donation in the past year. Let p represent the proportion of all households in the city that gave a charitable donation in the past year. Which of the following are appropriate hypotheses for the researcher?

a. H_o : p=0.5 and H_a:p>0.5
b. H_o:p=0.5 and H_a:p≠0.5
c. H_o:p=0.5 and H_a:p<0.5
d. H_o:p>0.5 and H_a:p≠0.5
e. H_o:p>0.5 and H_a:p=0.5

Answers

Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

Step-by-step explanation:

Let p represent the proportion of all households in the city that gave a charitable donation in the past year.

Reseracher wants to check whether p > 50% or p > 0.5

Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.

So Null hypothesis: [tex]H_o: p=0.5[/tex]

Alternative hypothesis: [tex]H_a:p>0.5[/tex]

The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

a. Solve for x in the
diagram

Answers

Answer: 15 i think

Step-by-step explanation:

Answer:

as their is no labeling so it's hard to answer

55+55=110

180-110=70

vertical angles

so x=70

23:
-
Determine the x- and y- intercepts for the graph defined by the given equation.
y = 7x + 3
a. X-intercept is (3,0)
CH
x-intercept is 0.-
y-intercept is 0,-
y-intercept is (3,0)
b.
d. x-intercept is (3, 0)
x-intercept is
0
y-intercept is
10
y-intercept is (0,3)
Please select the best answer from the choices provided
А
ОВ

Answers

Answer:

[tex](-\frac{3}{7}, 0)[/tex] -- x intercept

[tex](0,3)[/tex] -- y intercept

Step-by-step explanation:

Given

[tex]y = 7x + 3[/tex]

Required

Determine the x and y intercept

For x intercept.

Set [tex]y = 0[/tex]

So, we have:

[tex]y = 7x + 3[/tex]

[tex]0 = 7x + 3[/tex]

Collect Like Terms

[tex]7x = -3[/tex]

Make x the subject

[tex]x = -\frac{3}{7}[/tex]

Hence, the x intercept is: [tex](-\frac{3}{7}, 0)[/tex]

For the y intercept;

Set [tex]x = 0[/tex]

So, we have:

[tex]y = 7x + 3[/tex]

[tex]y = 7*0 + 3[/tex]

[tex]y = 0 + 3[/tex]

[tex]y = 3[/tex]

Hence, the y intercept is: [tex](0,3)[/tex]

AnswerB

Step-by-step explanation:

An economist conducts a nationwide survey to study the financial perceptions of US adults. Specifically, he asks a random sample of 1,000 US adults: “Financially, are you doing OK or are you struggling to get by?” The results of the survey show that 829 of the 1,000 participants said they are doing OK.

(a) Construct a 95% confidence interval for the proportion of US adults who would say they are doing OK.

(b) Shortly thereafter, a similar study is conducted in Mexico with the intention of constructing a 95% confidence interval for the proportion of Mexican adults who would say they are doing OK. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.01?

Answers

Answer:

a) (0.806, 0.852)

b)Margin of error ≤ 0.01

1.96*√{0.5*(1–0.5)/n} ≤ 0.01

√n ≥ 98

n ≥ 9604

• Smallest sample size = 9604

Step-by-step explanation:

I found this on Chegg

I need help so please be nice and help me hurry cause I have to turn this in!!

Answers

Answer:

16 easy

Step-by-step explanation:

The flower shop has 40 times as many flowers in the cooler as Kendall has in her bouquet. Kendall has 15 flowers. How many flowers are in the cooler?

Can anyone help me thank you

Answers

Answer:

tu debes de saber las respuestas por qué tú estás como en onceavo

Hi!




The measure of an angle is 12°. What is the measure of its supplement?


Thank you!!

Answers

168 degrees
180-12=168

Step-by-step explanation:

12° + x° = 90°

x. = 90 - 12

x =78°

help asap, i will mark brainliest!

Answers

Answer:

150m

Step-by-step explanation:

[tex]Length=120-(-30)=120+30=150m[/tex]

Subtract: (x^2+ 5x – 4) - (6x2 – 7)

Will give brainliest

Answers

Answer:

x^2+5x-9

Step-by-step explanation:

First multiply 6x2 because that's a number that isn't solved in the parenthesis.

(x^2+5x-4) - (12-7)

Then you subtract 12-7 which equals 5.

(x^2+5x-4)-(5)

You now take the parenthesis off

x^2+5x-4-5

-4-5 equals -9

Now you get the answer: x^2+5x-9

Answer:

-5x² + 5x + 3

Step-by-step explanation:

what is 893 :9 in long division​

Answers

0 remaining 9 i’m just typing more bc it says it’s can’t be under 20 words
Hi, I’m here to help! Here’s what I got:

How do I solve x, y, z?​

Answers

Answer:

z=[tex]\sqrt{14^{2} -5^{2} }[/tex]

z=13.08

(5)[tex]\sqrt{171}[/tex]=14x

x=4.67

y=[tex]\sqrt{5^{2} -4.67^{2} }[/tex]

y=1.79

if it helps, please give me brainliest

Guys I suck at this stuff so can someone Just PLEASE HELP ME

Answers

Answer:

I only

Step-by-step explanation:

The others have irrational & unsolvable numbers!

Hope that helps!

you want branliest.more branliest giving out

Answers

Answer:

that is a cute dog

Step-by-step explanation:

1. very fluffy

2. small

3. sleeping

4. teddy bear dog :D

*) Simplify the second expression
2(2m + 2) + m.
2(2m + 2) + m =
m +
?

Answers

Answer:

5m + 4

Step-by-step explanation:

First, use the distributive property to open the parentheses.

2(2m + 2) + m = _m + 4

4m + 4 + m = _m + 4

Simplifiy:

5m + 4

Hope this helps!

Answer:

5m+4

Step-by-step explanation:

open up the bracket

that will be 4m+4+m   (since 4m and m are alike we can add them together)

5m+4

if this helped please give me brainlest

- 3x + 5y = -2
2x - 2y = 1
Solve by elem inaction

Answers

Answer:

x=1/4 , y=-1/4. You can confirm this by substituting the numbers in.

Step-by-step explanation:

find the image of (-4,2) obtained by translating 3 units up, followed by a reflexion over the x axis

Answers

Answer:

(-4,-5)

Step-by-step explanation:

1. Image is the points after the transformation

2. Pre-Image is the original points

3. our x value is left to right and our y value is up and down (x,y)

4. Our points are (-4,2)

5. They first want us to translate three units up, so we add to our y value (y is up and down)

6. 2+3 = 5

7. Our new points are (-4,5)

6. Now we are asked to reflect over the x axis. Remember their are a lot of rules concerning reflections. For a reflection across x-axis our equation is this : (x,y) → (x,-y)

7. (-4,5) → (-4,-5)

8. (-4,-5) is our answer

1.) Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000 * (0.98) ^ x represents the value, y of one account that was left inactive for a period of x years .

a. What was the initial amount of money that was left in this savings account?

b. What is the percent of change each year in this savings account?

Answers

Answer:

a. The initial amount of money that was left in this savings account was of 5000.

b. Decrease of 2% each year.

Step-by-step explanation:

Exponential function:

An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In this question, we have:

[tex]y = 5000*(0.98)^x[/tex]

a. What was the initial amount of money that was left in this savings account?

This is y(0) = 5000

The initial amount of money that was left in this savings account was of 5000.

b. What is the percent of change each year in this savings account?

First as a decimal.

1 - r = 0.98

r = 1 - 0.98

r = 0.02

So a decrease of 2% each year.

Dave has $70 saved and earns $20
each month in allowance. Terri has
$110 saved and earns $16 a month
in allowance. If they both save their
entire allowances, how long will it
take before Dave and Terri have saved
the same amount of money?

Answers

Answer:

10 months

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Evaluate the following: a. 4|−8| b. 2|−3| + 4(7) c. 8|−2| − 6 d. 5|−4| + 2|−6|

Answers

Step-by-step explanation:

a. 4×|-8| = 4×8 =32

b. 2×3+4×7= 6+28 = 34

c. 8×2-6 = 10

d. 5×4+2×6 = 32

An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is thought to slope downward in a straight line. In order to map the limestone layer, hydrologists started at Seiling heading west and drilled sample wells. Two miles west of Seiling the limestone layer was found at a depth of 220 feet. Three miles west of Seiling the limestone layer was found at a depth of 270 feet
(a) What would you expect to be the depth of the limestone layer 5 miles west of Seiling
(b) You want to drill a well down to the limestone layer as far west from Seiling as you can. Your budget will allow you to drill a well that is 275 feet deep. How far west of Seiling can you go to drill the well? (Round your answer to one decimal place.)

Answers

Answer:

(A) 490ft.

(B) 2.8 miles

Step-by-step explanation:

Important points to note:

- The limestone layer is thought or assumed to slope downward in a straight line.

- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.

- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.

(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?

The expected depth of the limestone layer is:

2 miles + 3 miles = 5 miles

220ft + 270ft = 490ft

(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?

If 490ft  ~  5 miles

then 275ft  ~  K miles

K = [275 x 5] / 490  = 2.80612245 miles

Rounding to 1 decimal place, the distance is 2.8 miles.

PLEASE HELP ASAP I WILL GIVE YOU BRAINIEST!! Marcus is 14 years younger than twice Kimi's age. Marcus is 8 years old. How old is Kimi?

Answers

Answer: kimi is 22

Step-by-step explanation:

Answer:

Kimi is 11 years old

Step-by-step explanation:

We can read 'twice Kimi's age' as Kimi's age times 2 and

'14 years younger' as  minus 14.

Our equation is

2(Kimi's age)-14= Marcus' age

Since Marcus is 8:

2(Kimi's age)-14= 8

Now we manipulate the equation so that it equals Kimi's age. Remember that whatever we do to the right side, we also do to the left.

First we add 14 to both sides

2(Kimi's age)-14(+14)= 8(+14)

2(Kimi's age)= 22

Then we divide by 2

2(Kimi's age)/2= 22/2

Kimi's age=11

Usually we would us X to represent our unknown, Kimi's age, but I left it as Kimi's age so that it is easier to follow.

The volume Vof a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1014π cubic centimeters and a height of 6 centimeters. What is the radius of the can?

Answers

Answer:

Step-by-step explanation:

V = πr²h

1014π = πr²·6

r² = 1014/6 = 169

r = 13 cm

According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per person during . A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers years and older in Milwaukee will be taken, and the sample mean beer and cider consumption will be used to test the following null and alternative hypotheses:_______.
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error?

Answers

Step-by-step explanation:

H0 : µ ≤ 26.9

Ha : µ > 26.9

a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.

b. type 1 error happens when we reject a true null hypothesis.

this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.

the consequence is that is h0 is false it would be harder to reject it at a lower level of significance.

c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9

the consequence is that it would be harder to accept a true h0 at a high level of significance

A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and
rabbits. They want to purchase the same number of cages for dogs as for cats, but only
one-fourth as many cages for rabbits. How many of each cage should they buy?

Answers

For simplicity’s sake:
D = dogs, C = cats, R = rabbits

Since the dogs and the cats are the same number, we can say C = D.

R = 1/4D

2D + 1/4D = 36

Combine like terms and get the same denominator

9/4D = 36

9D = 144

D = 16

Now we know that D is 16, so C must be 16 as well. That leaves us with 32 cages.

36 - 32 = 4 rabbit cages. To double check this, 1/4 of 16 does equal 4.

Final answer: 16 D, 16 C, 4 R

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

For simplicity’s assume;

D = number of dogs cages, C = number of cats cages,

R = number of rabbits cages.

Since, The dogs and the cats cages are the same number,

We can say, C = D.

Only one fourth as many cages for rabbits,

So, we can formulate,

R = 1/4D

Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.

2D + 1/4D = 36

Combine like terms and get the same denominator;

9/4D = 36

9D = 144

D = 16

So,

Number of dogs cages = 16

Number of cats cages = 16

And, Number of rabbits cages = 36 - (16 + 16)

                                                = 36 - 32

                                                = 4

Thus,

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

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Troy and Lisa were shopping for school supplies. Troy bought 3 notebooks and 5 thumb drives for $20.25. Lisa bought 8 notebooks and 8 thumb drives for $38. Find the cost of each notebook and the cost of each thumb drive.

Answers

Answer:

Step-by-step explanation:

3n + 5d = 20.25

24n + 40d = 162

8n + 8d = 38

-24n - 24d = -114

24n + 40d = 162

-24n - 24d = -114

—————————

16d = 48

d = 3

A drive costs $3

3n + 5(3) = 20.25

n = 1.76

A notebook costs $1.75

Other Questions
HELP QUICK!!The Top-Notch Middle School had athletes from all the grades playing on a sports team. 6th grade 7th grade 8th gradeBasketball 2 4 7Baseball 1 6 5Soccer 7 4 4Football 8 15 10Explain what the ratio 5:73 represents. The ratio 5:73 represents the ratio of 8th grade baseball players to total athletes. The ratio 5:73 represents the ratio of 7th grade football players to total athletes. The ratio 5:73 represents the ratio of total athletes to 7th grade football players. The ratio 5:73 represents the ratio of 6th grade athletes to total athletes. 12. Suppose U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} is the universal set and G = \{1, 2, 3, 4, 5, 6, 7\} . What (1 point)O \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}O cannot be determinedO \{1, 2, 3, 4, 5, 6, 7\}O \{8, 9, 10\}is G'? Write an expression to represent emaily number 19) Solve for "x" using an inverse operation.3x = 4820) Solve for "x" using an inverse operation.4x = 64 Help me solve please y-9 terms,variables, coefficient s,constants a) If Earth, including its atmosphere, isdefined as the system, what are thesurroundings?b) How does this system absorb energy from its surroundings?c) How does this system release energy to its surroundings?GIVING BRAINLIEST In which type of market would you find it the most difficult to buy goods from another country?pure market economyclosed economytraditional economymixed market economy How much is the cost per ticket?Ride Tickets Cost5 $7.507 $10.509 $13.5010 $15.00 HELP PLSS!! Find cos (A) given the triangle!! If the current carried by a conductor is doubled, how are each of the following affected?(a) The charge carrier density.(b) The current density.(c) The electron drift velocity.(d) The average time interval between collisions. Which ordered pairs lie on graph of the exponential function f(x) = 5(4)^x write the equation of the line given the following information inpoint-slope form then re-write in slope-intercept form.20. through the points (1, 3) and (-4, 5)21. Through the point (4, -7) and is parallel to y = -2x-522. Through the point (3, 5) and is perpendicular to y = -3/2x + 1 Calculate the degrees of freedom associated with a small-sample test of hypothesis for (H H2 assuming o12 o22 and n n2 16. O A. 15 O B. 31 O C. 32 O D. 30 Find the y-value that will make the equations below true bygraphing the lines on a coordinate plane and determiningwhere they intersect.3x + y = -3-2x + y = 2NEED DONE BY 5:PM!! someone please helppp Please write a poem that is at least 9 lines in length, it does not have to rhyme, but it has to use hyperbole affectively and show that you know how to use it. Write the poem about how people feel when they first start reading poetry.Thank you, please complete as quickly as possible! Directions from the original assignment, the thing about Billy isn't important:Your turn to practice with using hyperbole.You read Billy Collins' opinion on what students think of poetry, now add your own thoughts through a poem answering what people think of when they start to read poetry.Your poem does not have to rhyme, but it should be at least 9 lines in length.It will be graded on grammar, length, and use of hyperbole. a cabinet holds shelves that are 12 1/2 inches apart. On one shelf, Katherine stacked a CD player that is 4 5/8 in. high on top of an amplifier that is 6 3/4 in. high. How much space was left above the CD player? does anybody know what these kind of jeans are called or where i can find some like them? watersheds get their water from what 2 places select 2 correct answers options: a) surface water b) peoplec)ground water d) Animals Which of the followingstatements is true aboutReconstruction Period?theA. Many of the failures ofReconstruction were because there wasno clear leader after Lincoln.B. The Supreme Court was too active inadvancing civil rights.C. The KKK helped ex-slaves find jobswhich helped with equality,D. The Civil War Amendmentsprevented ex-slaves from being givenrights.