Proof Hexagon:
Hey, I'm a German 11th grader and we currently have a tough geometry question: The centers A, B, C of three congruent circles that have no common points do not lie on the same straight line. From points A, B, C, the six tangents shown in the figure are placed on the circles that enclose a convex hexagon.Prove: The sums of the lengths of three pairs of not immediately adjacent sides of this hexagon are equal, i.e. | PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
How can I prove this? I already found out that the triangles on the sides of the hexagon are not pairwisely congruent, as i first thought. I think my other idea that the red and orange triangles (attachment) are congruent, so the sum of the areas of the triangles on the above mentioned sides is equal, but the congruency of red and orange must be proven too. Any help is appreciated!

First, according to the information, we build a linear model, and then, the model is used to find the information asked.

a) The linear model is:

[tex]V(t) = 224000 - 6800t[/tex]

b) The depreciated value of the boat after 10 years is of $156,000.

c) The depreciated value falls below $100,000 after 18.24 years.

d) The sketch is given at the end of the answer.

Item a:

[tex]m = \frac{115200 - 224000}{16} = -6800[/tex]

Then, the linear model is:

[tex]V(t) = 224000 - 6800t[/tex]

Item b:

The value after 10 years is V(10), so:

[tex]V(10) = 224000 - 6800(10) = 156000[/tex]

Then, the depreciated value of the boat after 10 years is of $156,000.

Item c:

This is t for which: V(t) = 100000. So

[tex]V(t) = 224000 - 6800t[/tex]

[tex]100000 = 224000 - 6800t[/tex]

[tex]6800t = 224000 - 100000[/tex]

[tex]6800t = 124000[/tex]

[tex]t = \frac{124000}{6800}[/tex]

[tex]t = 18.24[/tex]

The depreciated value falls below $100,000 after 18.24 years.

Item d:

The sketch is appended at the end of this answer.

A similar problem is given at https://brainly.com/question/24978772

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

The total amount of cards is 8, and the stack have 4 even numbers, so the probability is

4/8 Simplify it and

1/2

Now, there are just 6 cars bigger than 6, so:

2/8. Simplify it

1/4

Now you have to multiply the two values:

1/2×1/4 = 1/8

Answer:

The

Answer

for

1

might

be

B

and

answer

for

number

2

is

c

I

think

Answer:

the helicopter would go up and backwards

Answer:

A. 60 degrees

B. 60 degrees

Step-by-step explanation:

(a)

60 degrees +60 degrees + missing angle  = 180 degrees

(angle sum property of triangle)

missing angle = 180 - 120 = 60 degrees

(b)

90 degrees + 30 degrees =120 degrees +missing angle = 180 degrees

missing angle = 60 degrees

Supposing a cost of $30,000, and using proportions, it is found that you would have to save $1,083.30 each month.

--------------------------

We can solve it using proportions, by the following rule of three:

1 month - $x

24 months - $26,000

Applying cross multiplication:

[tex]24x = 26000[/tex]

[tex]x = \frac{26000}{24}[/tex]

[tex]x = 1083.3[/tex]

You would have to save $1,083.30 each month.

A similar problem is given at https://brainly.com/question/24112433

If Jim paid $48 to buy a package of 6 flea treatments for his dog. Then cost of one treatment is $6.

A division is a process of splitting a specific amount into equal parts.

Given,

Jim paid $48 to buy a package of 6 flea treatments for his dog

We need to find what is the cost a per treatment.

We have to divide split forty eight by six to find the cost of each treatment.

Forty eight divided by six

$48/6

When we divide by six we will get six.

$6

Hence if Jim paid $48 to buy a package of 6 flea treatments for his dog. Then cost of one treatment is $6.

To learn more on Division click:

https://brainly.com/question/21416852

$SPJ2

Step-by-step explanation:

-(38/21)

that is the answer

Answer:

-38/21, or 1 17/21

Step-by-step explanation:

To add, we need to change the denominators to be the same. The least common denominator is 21. -8/7 is equal -24/21, and -2/3 is equal to -14/21. If we add these we get -38/21, or 1 17/21.

Answer:

he needs 91 packets of seeds

Step-by-step explanation:

5214 divided by 66 gets 79 and then do 7189 divided by 79 to get 91

Answer:D

Step-by-step explanation:

Amaro would have the most.

Step-by-step explanation:

You use the formula BODMAS and then you simply the brackets first

(7+4x)=11x

And then you group using like terms which is

-4 - 42 +11x - 6x and then you get ur answer

Answer:

4  but i'm bad at cooking cause i'm 15 so

Step-by-step explanation:

Answer:

Deon

Step-by-step explanation:

Deon-12 ppd

Emily-9 ppd

Deon reads more pages per day

Answer:

Deon read  3 more  pages per day than Emily.

Answer:

I don't think anyone understands the question

Answer:

Step-by-step explanation:

Use ratios to solve:

x = 2.05/1.06 = $1.93 per pound

We have that, how long it will take for Liu to catch Mariel is mathematically given as

t=3.076s

From the question we are told

Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?

Generally the equation for the Average speed is  mathematically given as

[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]

Therefore

How long it will take for Liu to catch Mariel is mathematically given as

[tex]t=\frac{20}{6.5}[/tex]

t=3.076s

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Answer:

x or AB = 9

Step-by-step explanation:

Use Pythagorean Theorem to solve for missing side.

Pythagorean Theorem: a² + b² = c²

Plug our sides in to get AB² + BC² = AC²

We are solving for AB so we arrange the equation to get:

AB² = AC² - BC²

Solve for AB:

AB² = (√117)² - (6)²

AB² = 81

AB = 9

x or AB = 9

Answer:

y = -1/5x + 8

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]1 + 2 = 3[/tex]

answer= 3

Answer:

Briana would get $70 in 8 hours and $350 in 40 hours.

Step-by-step explanation:

Multiply 8.75 by 8 to get $70

Multiply 8.75 by 40 to get $350

Hope this helps!!

Answer:

70$ in 8 hours and 350$ in 40 hours

Step-by-step explanation:

8.75 + 0.25 = 9 X 8 = 72 - 2 = 70

0.25 X 8 = 2

8.75 + 0.25 = 9 X 40 = 360 - 10 = 350

0.25 X 40 = 10

Answer:

3.16227766017 is the answer

Answer: 3.16227766017

Step-by-step explanation:

Or you could round and get 3.2 or 3.16

Answer:

I think 0 is the only one that works here.

Step-by-step explanation:

Answer:

the only option is 0

Step-by-step explanation:

Answer:

7/3 or 21/9 or 2.3 repeated

Step-by-step explanation:

Answer: 7/3

Step-by-step explanation

[tex]\frac{7}{9}/\frac{1}{3} = \frac{7}{9}*\frac{3}{1}= 21/9=7/3[/tex]

Keep change flip. Keep 7/9 change multiply to divide flip 1/3 to 3.

Answer:

-9

Step-by-step explanation:

The answer is -9 since it is seeking for the point at x=-3.

9514 1404 393

Answer:

  4a +4

Step-by-step explanation:

The average rate of change of f(x) on the interval is ...

  (f(a) -f(1))/(a -1)

  = ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)

  = 4(a² -1)/(a -1) = 4(a +1) = 4a +4

The average rate of change on the interval is 4a +4.

Answer:

Your answer is 24 3/4 if you want it decimal wise it would be 24.75

Step-by-step explanation:

Well, let's set up our equation first. 10 (she jumped down 10 feet) + 2(7 3/8) (we are multiplying this by 2 because she first went under the surface then went back up to the surface)

Since distance is never negative you won't add any negative symbols, you'll simply add. First 2(7 3/8) = 59/4 or 14 3/4 | Next we add 10 to it 14+10 = 24 3/4

Your answer is 24 3/4 if you want it decimal wise it would be 24.75

Answer:

yes

Step-by-step explanation:

a divisor is a number that you use to divide another one. 48 divided by 12 is 4. Therefore, 12 is a divisor of 48

Step-by-step explanation:

z-yx+x

4-(-3•2) +2

4-(-6)+2

4+6+2

12

Answer:

12

Step-by-step explanation:

4-(-3)•2+2

4+3•2+2

4+6+2

10+2

12

Answer:

90 students

Step-by-step explanation:

Let u be 1 unit.

8u = 240

u = 240÷8

= 30

3u = 30×3

= 90

9514 1404 393

Answer:

  center (-5, 3)

  radius 3

Step-by-step explanation:

Compare the given equation to the standard form equation of a circle:

  (x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r

This shows us that ...

  -h = +5   ⇒   h = -5

  -k = -3   ⇒   k = 3

  r² = 9   ⇒   r = √9 = 3

Then the circle center is (h, k) = (-5, 3), and the radius is r = 3.