In the figure below, triangle DOG, triangle ION, and triangle IDO are congruent and isosceles, each with perimeter 55. The quadrilaterals FLIN, DIES, and DRAG are all squares. The perimeter of the 11-sided polygon $DRAGONFLIES$ is 127. What is the area of DRAG?

In The Figure Below, Triangle DOG, Triangle ION, And Triangle IDO Are Congruent And Isosceles, Each With

Answers

Answer 1

Answer:

81 sq units.

Step-by-step explanation:

Given that Triangles DOG, ION and IDO are congruent and isosceles.

Let Sides NO = IO = DO = GO = [tex]x[/tex] units

Let the sides of squares FLIN, DIES and DRAG = [tex]a[/tex] units

So, NF = FL = LI = NI = IE = ES = SD = DI = DR = RA = AG = GD = [tex]a[/tex] units

Given that perimeter of each of Triangles DOG, ION and IDO = 55 units

Sum of sides of triangle = [tex]2x+a=55 ...... (1)[/tex]

and Perimeter of 11 sided polygon DRAGONFLIES = 127 units

The perimeter of the polygon includes the sides (only outer sides are included):

DR, RA, AG, GO, ON, NF, FL, LI, IE, ES and SD

[tex]2x+9a = 127......(2)[/tex]

Solving equations (2) and (1) by subtracting (1) from equation (2):

[tex]8a = 72\\\Rightarrow a = 9 units[/tex]

Area of a square DRAG = [tex]Side^2[/tex] = [tex]9^2 = \bold{81\ sq\ units}[/tex]

Answer 2

Answer:

81

Step-by-step explanation:

dont ask, i just know


Related Questions

choose the answer based on the most efficient method. if the first step in the equation " -9 + x = 5x - 7" is subtract x, what should the next step be

Answers

Answer:

add 7 to both sides

Step-by-step explanation:

This is so because we are trying to solve the equation by seperating the variables from the real numbers. So as they remove all variables from the left side of the equation, we should remove any remaining numbers that are on the right side of the equation.

Hope this helps!

Could you guys please help with this question :) At a teacher's college, 70% of students are female. On average 75% of females and 85% of males students graduate. A student who graduates is selected at random, find the probability that the student is male.

Answers

Answer:

Step-by-step explanation:

70% of students are female

70/100* 75%= you get your answer

then subtract the percentage of the males and the females and then you get your answer

HELPP AGAIN PLEASE!! 2/5 (10c -35) (the 35 is negative)

Answers

Answer:

4c - 14

Step-by-step explanation:

2/5 (10c -35)

Distribute

2/5 * 10c - 2/5 * 35

4c - 14

Answer:

See below.

Step-by-step explanation:

[tex]\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14[/tex]

Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

Answers

To find the rate of change, we need to divide the number of people by the number of pounds of chicken used. This is 36/9 = 4. Additionally, you could have done 68/17 = 4.

what is the change in each term of the sequence? 0.8, 1, 1.2, 1.4, 1.6​

Answers

Begin by studying the pattern.

Notice that the difference between 0.8 and 1 is 0.2.

In other words, 0.8 + 0.2 is 1.

In the same way, 1 + 0.2 is 1.2.

1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.

So we can see that the difference

between each of the terms is 0.2.

Answer:

+.2

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

1 - .8 = .2

Check by subtracting the second term from the third term

1.2 - 1 = .2

The common difference is .2

Based on the dots below, which of the following is a true statement

Answers

Answer:

Is there supposed to be some "dots" or something

Vanessa owed her friend $24. She paid back $8. How much more does Vanessa need to pay before her account is at zero?

Answers

Answer:

$16

Step-by-step explanation:

$24 - $8 = $16

Answer:

$ 16

Step-by-step explanation:

$ 24 - $ 8 = $ 16

The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.

Answers

Answer: Width= 7 in.

               Length= 10 in.

Step-by-step explanation:

[tex]l=w+3[/tex]

The perimeter of the rectangle is 34 inches.

[tex]2(w+l)=34[/tex]

substitute

[tex]2(w+w+3)=34[/tex]

[tex]2(2w+3)=34[/tex]

distributive property [tex]a(b+c)=ab+ac[/tex]

[tex]2\cdot 2w+2\cdot 3=34[/tex]

[tex]4w+6=34[/tex]

[tex]4w+6-6=34-6[/tex]

[tex]4w=28[/tex]

divide 4 on both sides

[tex]w=7[/tex]

Width is 7 inches

substitute w=7 in equation [tex]l=w+3[/tex]

[tex]l=7+3[/tex]

[tex]l=10[/tex]

Length is 10 inches

During his 2001 MVP season for the Seattle Mariners, Ichiro Suzuki batted 0.350, meaning that his probability of getting a hit in any bat was 0.350.
In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Answers

Answer:

In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Step-by-step explanation:

Answer: 0.457

Step-by-step explanation:

How many hours are there in ten quarters of an hour?

Answers

Answer:

2 1/2 hours

Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours  so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half

What is the slope and the y-intercept of the line on the graph below? On a coordinate plane, a line goes through points (0, 1) and (4, 0).

Answers

The slope is the change in Y over the change in x:

Slope = (0-1) / 4-0) = -1/4

Slope = -1/4

Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1

i need help with this question please :(

Answers

Answer:

C

Step-by-step explanation:

[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]

Use the Power of a Product Property, where:

[tex](ab)^n=a^nb^n[/tex]

Therefore:

[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]

El reto consiste en convertir la igualdad en verdadera, haciendo 1 movimiento y luego, otra opción, haciendo dos movimientos. (no está permitido retirar fósforos)

Answers

12

Step-by-step explanation:

9+3 =12

pls make me brainiest

Step-by-step explanation:

Un movimiento:

1 opción:

Del primer 9:

retirar el fósforo de la parte superior de tal manera que este nueve se convierte en 5 y colocarlo en la parte inferior del segundo nueve de tal manera que se convierte en 8:

5 + 3 = 8

2 opción:

en el primer nueve trasladar el fósforo vertical de la parte superior derecha a la parte inferior izquierda de tal manera que este se convierte en 6:

6 + 3 = 9

Dos movimientos:

Del primer nueve retirar el fósforo vertical superior izquierdo de tal manera que este se convierte en 3 y ese fósforo colocarlo de forma vertical en la parte inferior izquierda del 3 y recorrer de este 3 el fósforo vertical superior derecho hacia la izquierda de tal manera que se convierte en 6:

3 + 6 = 9

what is the value of x to the nearest tenth

Answers

Answer:

14.1

Step-by-step explanation:

Use tan to help:

x/7 = tan (64°)x = 7*tan (64°) x = 7*2.05x = 14.1

Write this expression as a complex number in standard form

Answers

Answer:

[tex]81+144i[/tex]

Step-by-step explanation:

We want to simplify:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i[/tex]

Recall that:

[tex]\displaystyle \sqrt{-a} = i\sqrt{a}[/tex]

Therefore:
[tex]\displaystyle \begin{aligned} (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i & = (-3i\sqrt{81})(-5+i\sqrt{9})+9i \\ \\ &= -(3i(9))(-5+i(3))+9i \\ \\ & = -27i(-5+3i)+9i \\ \\ & = 135i -81i^2 + 9i \\ \\ & = 144i - 81i^2 \\ \\ & = 81+144i\end{aligned}[/tex]

Note that i² = -1.

In conclusion:

[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9})+9i = 81 + 144i[/tex]

The answer is 81+144i

If 1 pound of grass seed costs 25x cents, represent in terms of x the cost of 7 pounds of seed? In polynomial simplest form

Answers

Answer:

175 cents

Step-by-step explanation:

25x=

25 • 7

25 • 7 = 175

Therefore the cost of 7 pounds of seed is 175 cents.

Please answer ASAP. The question is down below

Answers

Answer:  1) D      2) B

Step-by-step explanation:

1) The denominator cannot equal zero, Factor the denominator to find the zeros.  n³ - 4n² + 3n = 0

           n(n - 3)(n - 1) = 0

       n=0  n-3=0   n-1=0

       n=0    n=3      n=1

2) In order to be a rational expression, it must be in the form [tex]\dfrac{a}{b}[/tex] where both a and b are integers.

Since [tex]\sqrtb[/tex][tex]\sqrt b[/tex] is irrational and not an integer, then the expressions containing an irrational term after simplified cannot result in an integer.

Therefore, options (i) and (iv) are not rational expressions.

Option (iii) contains b as an exponent.  Since there is no information about b, it could be a fraction, which means it could be an irrational number.

solve the equation
x/3+y/4=4

Answers

Answer:     [tex]y=-\dfrac{4}{3}x+16[/tex]

Step-by-step explanation:

[tex]\dfrac{x}{3}+\dfrac{y}{4}=4\\\\\\\text{Multiply everything by 12 to eliminate the denominator:}\\\dfrac{x}{3}(12)+\dfrac{y}{4}(12)=4(12)\\\\4x+3y=48\\\\\\\text{Subtract both sides by 4x:}\\3y=-4x+48\\\\\\\text{Divide everything by 3:}\\y=-\dfrac{4}{3}x+16[/tex]

This rectangle has side lengths r and s.
For each expression, say whether it gives the perimeter of the rectangle, the area of the
rectangle, or neither.
1. rts
2. r.s
3. 2r + 2s
4.72 +82

Answers

Answer:

1.) Neither

2.) Area

3.) Perimeter

4.) Neither

Step-by-step explanation:

Given that the lengths of the rectangle are r and s

The perimeter of the rectangle will be:

Perimeter = 2r + 2s

Perimeter = 2(r+s)

While the area will be:

Area = r × s

Area = rs

For each expression, say whether it gives the perimeter of the rectangle, the area of the

rectangle, or neither.

1. rts = neither

2. r.s = Area of rectangle

3. 2r + 2s = Perimeter of rectangle

4.72 +82 = neither.

A movie theater sells only two types of tickets: adult tickets for $20 each and student tickets for $12 each. One weekend, the theater sold 2,000 tickets for a total of $35,072. How many more adult tickets than student tickets were sold that weekend?

A) 768 B) 770 C) 772 D) 774

Answers

Answer:

adults tickets=1384

kids:616 tickets

1384-616= 768 tickets

Step-by-step explanation:

let x be adult tickets and y kids

x+y=2000 ⇒x=2000-y

20x+12y=35072   solve by substitute for x=2000-y

20(2000-y)+12y=35072

40000-20y+12y=35072

-8y=35072-40000

-8y=-4928

y=-4928/-8

y=616

x=2000-616

x=1384 tickets

check:

20(1384)+12(616)=35072 ( correct)

Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
One-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
One-fourth (2 + v) = 3; v = 4 pounds of chopped vegetables
4 (2 + v) = 3; v = 1 pound of chopped vegetables
4 (2 + v) = 3; v = 5 pounds of chopped vegetables

Answers

Answer:

First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Step-by-step explanation:

"2 pounds of meat with some chopped vegetables"

2 + v

"She divides the mixture into 4 equal portions."

(1/4)(2 + v)

"Each portion weighs 3 pounds."

(1/4)(2 + v) = 3

2 + v = 12

v = 10

Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Answer:

(2+v)=3   v=10

Step-by-step explanation:

can you solve;
3/7+5/21

Answers

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[tex]\frac{3}{7}+\frac{5}{21}[/tex]

[tex]= \frac{3}{7}+\frac{5}{21}[/tex]

[tex]= \frac{9}{21}+\frac{5}{21}[/tex]

[tex]= \frac{9 + 5}{21}[/tex]

[tex]= \frac{14}{21}[/tex]

[tex]= \frac{2}{3}[/tex] (Decimal: 0.666667)

Answer : [tex]\boxed{\frac{2}{3} }[/tex] (Decimal: 0.666667)

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        Have a great day/night!

                   ❀*May*❀

3/7+5/21=2/3

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 7 is 21

For the 1st fraction, since 21 × 1 = 21,
5
21
=
5 × 1
21 × 1
= 5/21

Likewise, for the 2nd fraction, since 7 × 3 = 21,
3
7
=
3 × 3
7 × 3
= 9/21

Add the two fractions:
5
21
+
9
21
=
5 + 9
21
= 14/21

Simplify and get 2/3

help asap will give 10 points

Answers

Answer:

FALSE

Step-by-step explanation:

The properties of exponents tells us that

[tex]9^9\ \ *\,\,9^{-20}\,=\,9^{9-20}\,=9^{-11}[/tex]

Answer:

False

Step-by-step explanation:

[tex](9 {}^{9} ) \times (9 {}^{ - 20}) = 9 {}^{9 + ( - 20)} = 9 {}^{9 - 20} = 9 {}^{ - 11} [/tex]

Hope this helps ;) ❤❤❤

(a) How could you calculate 23 x 4 on your calculator if the 4 button is broken? (b) How could you calculate 23 x 21 if the 2 button on your calculator is broken?

Answers

Answer:

23 x 4

=> 23 x (2 + 2)

=> 23 x 2 + 23 x 2

23 x 21

=> 23 x (3 x 7)

=> (23 x 3) x (23 x 7)

23 + 23 + 23 + 23 = to get the answer of 92

23 x 2 + 23 x 2 =.92

Valerie invested $150 at the beginning of each quarter in stock XYZ.
According to the table below, which quarter would have been the optimal
investment period if she had chosen to invest her money as a lump sum?
XYZ
01
02
Q3
Stock Price
$12.75
$12.25
$11.50
$11.75
Q4
O A. Q4
O B. 03
O C. 01
D. Q2​

Answers

Answer:

Quarter 3

Step-by-step explanation:

The quarter that would have been the optimal investment period is the third quarter.

What is the optimal investment period?

Stocks gives its holders ownership right in a company. Stockholders are paid dividends in some periods.

The optimal investment period is the period when the stock price is the lowest. This is the third quarter.

To learn more about stocks, please check: https://brainly.com/question/27342287

#SPJ2

Sandy had test scores of 20, 25, 17, 22, and 21. What is the average (mean) score. On the next 3 test Sandy's score were 24, 24, and 23. What is her mean now?

Answers

Answer:

a) First Average mean = 21

b) Current mean = 22

Step-by-step explanation:

Formula For mean =

Sum of Terms/ Number of terms

a)Sandy had test scores of 20, 25, 17, 22, and 21.

Number of terms = 5

Mean = (20 + 25 + 17 + 22 + 21)/5

= 105/5

= 21

b) On the next 3 test Sandy's score were 24, 24, and 23

To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.

Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8

Mean = 176/8

Mean = 22

solve for y 7y - 6y - 10 = 13

Answers

Answer: y=23

Step-by-step explanation:

[tex]7y-6y-10=13[/tex]

[tex]7y-6y=y[/tex]

[tex]y-10=13[/tex]

add 10 to both sides

[tex]y-10+10=13+10[/tex]

[tex]y=23[/tex]

Emily's family loves to work together in the garden.They have a slight preference for flowers, as 60\%60%60, percent of their plants are flowers and 40\%40%40, percent are vegetables. They have 505050 plants growing in the garden. How many vegetable plants do they have?

Answers

50 plants total, 40% are vegetables

40% = 40/100 = 0.40

40% of 50 = 0.40*50 = 20

Answer: There are 20 vegetable plants

What is the answer for 3x+2(4x-4)=3?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{x = 1}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3x + 2(4x - 4) = 3}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{3x + 8x - 8 = 3}[/tex]

Collect like terms

⇒[tex] \sf{11x - 8 = 3}[/tex]

Move 8 to right hand side and change it's sign

⇒[tex] \sf{11x = 3 + 8}[/tex]

Add the numbers

⇒[tex] \sf{11x = 11}[/tex]

Divide both sides of the equation by 11

⇒[tex] \sf{ \frac{11x}{11} = \frac{11}{11} }[/tex]

Calculate

⇒[tex] \sf{x = 1}[/tex]

Hope I helped!

Best regards!

Answer:

x=7/20

Step-by-step explanation:

you have to multiple the outside factor by number which are inside of parenthesis but the signs should be same

3x(4×)=12x

3x(4)=12

2(4x)=8x

2(4)=8

write it as an equation and find the like terms

12x-12+8x-8=3

20x-4=3

Then add 4 and divided

20x-4=3

+4 +4

20x/20=7/20

the is a fraction

x=7/20

Solve 8

Answers

^ exactly, you need to show the problem. we cannot solve anything for 8
Other Questions
B1) 20 pts. The thickness of each of the two sheets to be resistance spot welded is 3.5 mm. It is desired to form a weld nugget that is 5.5 mm in diameter and 5.0 mm thick after 0.3 sec welding time. The unit melting energy for a certain sheet metal is 9.5 J/mm3 . The electrical resistance between the surfaces is 140 micro ohms, and only one third of the electrical energy generated will be used to form the weld nugget (the rest being dissipated), determine the minimum current level required. what is happening to this graph when the x vaules -1 and 1 Properties and characteristics of sum and difference of two cubes. Write a poem about the changes in your life. ( Just write it with either real or fake changes in YOUR life. Im new to this school so they wont know its not about me.) ASAP how many solutions are there for the system of equations shown on the graph? Rehabilitation is:_________ a) adjusting to a disability. b) care that helps persons regain health, strength , and independence c) the process of assisting the person to maintain or regain health. d) the process of restoring the person to his or her highest possible level of function. Find the value of f (x)=x-4 and g(x)=3x+2 Find the value of f (-1)g(-1) write a letter toyour friend in another school telling him or her about three changes that have occurred in your school which is bringing effective teaching and learning A perfectly competitive small organic farm that produces 1,000 cauliflower heads in the short run has an ATC = $6 and AFC = $2. The market price is $3 per head and is equal to MC. In order to maximize profits (or minimize losses), this farm should: Read and choose the correct option that answers the question. Soy Juan y soy artstico y curioso. Cuando nado en el ocano miro las plantas y nado con los animales. Me encanta dibujar estrellas de mar y tortugas marinas. Based on the text, what might Juan most likely enjoy doing in his future? Deep-river diving Marine wildlife painting Weather photography Whale habitat research SOMEBODY HELP PLEASE! ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!) Nour drove from the Dead Sea up to Amman, and her altitude changed at a constant rate. When she began driving, her altitude was 400400400 meters below sea level. When she arrived in Amman 222 hours later, her altitude was 100010001000 meters above sea level. Let yyy represent Nour's altitude (in meters) relative to sea level after xxx hours. For the function f(x) = 3(x 1)2 + 2, identify the vertex, domain, and range. Builder and Owner agree that Builder will erect a fence for Owner for $1,500. Builder claims that the fence is taking longer than Builder expected, so Owner must pay Builder $500 more or Builder will not complete the fence. Owner, needing the fence completed, agrees to the additional $500. Builder completes the fence. Owner owes Builder: ________.A. $1,500.B. $2,000.C. $1,000.D. $1,750. Mothers approach was to memorize lists of polite phrases that would cover all possible social situations. She was constantly muttering things like Im fine, thank you. And you? Once she accidentally stepped on someones foot, and hurriedly blurted, Oh, thats quite all right! How does this excerpt support the main conflict of the story? A: It illustrates the challenges of understanding a new language and culture. B :It proves that mothers and daughters disagree about how to study. C :It suggests that careless behavior can cause injuries to others. D :It demonstrates the importance of manners in all cultures. explain THREE benefits of participating in any campaign that addresses a human rights issue Which type of passages do immunization/vaccine to help prevent Identify the main contributors of various forms of carbohydrates in foods. Do you think the climate of our Earth will remain same after next 30 years? Justify it. The diameter, D, of a sphere is 7.8mm. Calculate the sphere's volume, V. Use the Value 3.15 for pie.