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

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)

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]

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]

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

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

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

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

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

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 ;) ❤❤❤

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]

can you solve;
3/7+5/21

Answers

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               Hi my lil bunny!

   ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[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

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]

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:

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

(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

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.

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

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.

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.

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:

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

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

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

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!

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

Answers

Answer:

Is there supposed to be some "dots" or something

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.

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

Solve 8

Answers

^ exactly, you need to show the problem. we cannot solve anything for 8

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

Other Questions
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