WILL GIVE BRAINLEST 50 POINTS!
6.9.4 Journal: Similar circles

Scenario: Prove That All Circles Are Similar
Instructions
View the video found on page 1 of this Journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
The Students' Conjectures:The two students have different methods for proving that all circles are similar.
1. Complete the table to summarize each student's conjecture about how to solve the problem. (2 points: 1 point for each row of the chart)
Classmate Conjecture
John



Teresa





Evaluate the Conjectures:
2. Intuitively, does it make sense that all circles are similar? Why or why not? (1 point)

Yes just because some are small and some are big doesn't mean that they are different. And the formula for a circles circumference is C=2pi r and 2 and pi are alaway the same the only thing that changes is r.






Construct the Circles:
3. Draw two circles with the same center. Label the radius of the smaller circle r1 and the radius of the larger circle r2. Use the diagram you have drawn for questions 3 – 10. (2 points)

















4. In your diagram in question 3, draw an isosceles right triangle inscribed inside the smaller circle. Label this triangle ABC. (1 point)
5. What do you know about the hypotenuse of △ABC? (2 points)




6. In your diagram in question 3, extend the hypotenuse of △ABC so that it creates the hypotenuse of a right triangle inscribed in the larger circle. Add point Y to the larger circle so it is equidistant from X and Z. Then complete isosceles triangle XYZ. (1 point)
7. What do you know about the hypotenuse of △XYZ? (2 points)




8. How does △ABC compare with △XYZ? Explain your reasoning. (2 points)








9. Use the fact that △ABC ≈ △XYZ to show that the ratio of the radii is a constant. (2 points)








Making a Decision
10. Who was right, Teresa or John? (1 point)




Further Exploration:
11. What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?

Answer:

You need common denominators

Step-by-step explanation:

Because you need to have the same number on the bottom in order to correctly add/ subtract the fractions.

a) A line can intersect a parabola at 2 points, 1 point, or no points respectively. The only possible way at which it intersects at 1 point, would be if it were tangent to the parabola. [Check first attachment]

b) Two different parabolas can intersect at 2 points, 1 point or no points respectively. [Check second attachment]

It is possible for 2 parabolas to intersect at 4 and even 3 points. But one of the parabolas would be on it's side. You can consider those cases.

Answer:

1. Yes they are

2. No they are not

hope this helps :)

Step-by-step explanation:

Answer:

190.8

Step-by-step explanation:

Im pretty sure my math is wrong but i hope this helps

Answer:

a

Step-by-step explanation:

solve for y in one equation

2x + y = -4

y = -4 - 2x

plug y into the other equation

5x + 3y = -6

5x + 3(-4 - 2x) = -6

5x -12 -6x = -6

-x - 12 = -6

-x = 6

x = -6

plug x into the equation to find y

y = -4 - 2x

y = -4 - 2(-6)

y = 8

ordered pair: (-6,8)

Answer:

d. 8 divided by sec 35 degrees

Step-by-step explanation:

Answer:

D is right

Step-by-step explanation:

Answer:

2657/25

Step-by-step explanation:

Answer:

88°

Step-by-step explanation:

Because, vertically opposite angles are equal

Answer:

Step-by-step explanation:

(h+2)+9

b-(6-4)

Answer: 36,400

Step-by-step explanation:

Answer:

Step-by-step explanation:

36,400

Answer:

m<E=120°

m<T=60°

Step-by-step explanation:

10m+4m+12=180

14m=168

m=12

m<E=10m=10(12)=120

m<T=4m+12=4(12)+12=48+12=60

Answer:

Solution given:

10m+4m+12=180°[sum of opposite angle of cyclic quadrilateral is supplementary]

14m=180-12

m=168/14=12

m<E=10×12=120°

m<T=4×12+12=60°

Answer:

okay so, everytime you see anything that says "a number", that will automatically mean that there is a number in the equation that u dont know, so instead of putting a random number in its place, you put an "exponent" aka a letter like "x" for example. so it says, 12 is the sum of a "number" and 3, that means 3 plus a number gives u 12, you would have to make an equation to find the "number" so the equation would be "3 + x = 12".

Step-by-step explanation:

Answer:

220mi

Step-by-step explanation:

Annie's dad drove a total of 490 miles before heading home. The correct option is D.

Distance is defined as the product of speed and time.

We can use the formula distance = rate x time to calculate the distance for each day.

On Monday, he drove for 4 hours at 55 mph, so the distance he traveled was:

distance = 55 mph x 4 hours = 220 miles

On Tuesday, he drove for 3 hours at 50 mph, so the distance he traveled was:

distance = 50 mph x 3 hours = 150 miles

On Wednesday, he drove for 2 hours at 60 mph, so the distance he traveled was:

distance = 60 mph x 2 hours = 120 miles

To find the total distance, we can add up the distances for each day:

220 miles + 150 miles + 120 miles = 490 miles

Therefore, Annie's dad drove a total of 490 miles before heading home.

Learn more about distance here:

brainly.com/question/13269893

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Answer:

105/4 ft^2

Step-by-step explanation:

Multiply length and width: 7*15/4 = 105/4 ft^2

Answer:

It is already in simplest form.

Step-by-step explanation:

Answer:

Already in simplest form

Step-by-step explanation:

I mean you could do 6(x+2) but its already in its simplest form.

Answer:

a 12/20 = 0.6

b 21/35 = 0.6

c 28.8/48 = 0.6

Answer:

12

Step-by-step explanation:

if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.

After he cuts the 4 bars, there are 12 pieces Jacob have.

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

Jacob has 4 granola bars.

He cuts them into pieces that are 1/3 of a bar each.

After he cuts the 4 bars.

After he cuts the 4 bars, how many pieces Jacob has is determined in the following steps given below.

[tex]\rm = \dfrac{Total \ granola \ bars}{Cut \ pieces}\\\\= \dfrac{4}{\dfrac{1}{3}}\\\\=\dfrac{4}{0.33}\\\\= 12.12\\\\= 12 \ apporx[/tex]

Hence, After he cuts the 4 bars, there are 12 pieces does Jacob have.

Learn more about division here;

https://brainly.com/question/9859817

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Answer:

6.98

Step-by-step explanation:

You just round the seven up

Answer:

x=20

it told me the answer is too short but that answer is right

Answer:

The answer is C: the ranges of g(x) and f(x) are the same, and their domains are also the same.

Step-by-step explanation:

Just took the test on edge!! :)

Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

What is domain?

List of values of x an equation can satisfy is called Domain.

What is range?

List of values y the function can generate is called range

For example, f(x)=x

it can satisfy real domain i.e. x∈R

and range is R

g(x) = 3 x + 6 - 8 and f(x) = 3x

Domain for both the function is R

Both the function can satisfy all the real numbers, so its range is also R.

Therefore,Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

Learn more about domain and range,

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Answer:

it is 84 inches all together

Answer:

84 inches

Step-by-step explanation:

have a good day

may i please  get a branlillest

Answer:

She would need one more pint.

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

9 - 4 = 5

8 - 5 = 3

9 + 2 + 3 + 7 + 8 + 3 + 4 + 6 = 42

Answer:

Its 42 ;l

Step-by-step explanation:

Answer:

Skewed right

Step-by-step explanation:

Most of the data is to the right, so it's not skewed left.

Uniform is mostly even, so not that either.

Bell shape is centered and vaguely triangular, so incorrect, hence the only remaining option is skewed right.

Hope this helps :)

Stay Cold,

Brook

Answer:

3x° = 60°

2x° = 40°

Step-by-step explanation:

3x + 80 +2x = 180° (Linear Pair)

5x + 80 = 180

5x = 180 - 80

5x = 100

x = 20

Substituting the value for x,

3x° = 3 × 20 = 60°

2x° = 2 × 20 = 40°

Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°

Let x = number of 20p coins

10+50+20x=200        10p + 50p + x(20p) = 200p    (100p=1 pound)

60 + 20x = 200

subtract 60 from each side

20x=140

divide both sides by 20

x=140/20=14/2=7

x=7  James has 7 20p coins