Answer:
-4 * 7/10 = -2.8
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:I see the questions but is there supposed to be a chart or is it just questions?
Step-by-step explanation:
Answer:
I got the first one which is
John -if a circle is put it into the center of another and dilate to show that they are similar.
Teresa - says that if all corresponding parts of two circles have the same ratio they are similar.
Yes, all circles seem to be similar
Find the equation of the given line.
Find the equation of the line passing through
(5, 6) and (7, 9).
Answer:
y = 3/2x - 1.5
Step-by-step explanation:
m = y² - y¹ / x² - x¹
= 9 - 6 / 7 - 5
= 3/2
(5,6)
y = mx + c
6 = 3/2 (5) + c
6 = 7.5 + c
6 - 7.5 = c
c = -1.5
m∠1=119∘ and m∠2=61∘.
What is m∠3?
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
Answer:
K12 answer
Step-by-step explanation:
Use the Distributive Property to
REWRITE 2/3(x - 9)
Answer:
2/3x-6
Step-by-step explanation:
2(19-c)=2(6c+2)+3c
What is this answer (d
Answer:
2(19-c)=2(6c+2)+3c use distributive property
38-2c=12c+4+3c combine like terms
38-2c=15c+4 add 2c on both sides
38=17c+4 subtract 4 from both sides
34=17c divide by 17 on both sides
2=c and you get 2=c or c=2
Step-by-step explanation:
if brainiest is earned its Greatly Appreciated
The solution to the given equation is c =2.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows:
2(19 - c) = 2(6c + 2) + 3c
Apply the distributive property
38 - 2c = 12c + 4 + 3c
Combine like terms in the above equation,
38 - 2c = 15c + 4
Add 2c on both sides of the equation,
38 = 17c + 4
Subtract 4 from both sides in the above equation,
34 = 17c
Divide by 17 on both sides
2 = c or
c = 2
Therefore, the solution to the given equation is c =2.
Learn more about the equation here:
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8p(-3p^2+6p-2) hellpppppppp
-16p was my answer after simplifying it
Answer:
120p - 16p = 104p
Step-by-step explanation:
-3p x -3p = 9p + 6p = 15p x 8p = 120p
8p x -2 = -16p
120p - 16p = 104p
Please wait for more responses if needed thank you.
Find the GCF of the numbers. 8, 16
Answer:
8
Step-by-step explanation:
Answer:
What is the Greatest Common Factor of 8 and 16? Greatest common factor (GCF) of 8 and 16 is 8.
hope it help plz heart and vote plz po..If closing costs of $1,900 are associated with the refinance of a mortgage that would reduce the monthly payment from $1,140 to $1,072 refinance, it would take approximately ____ months to cover these costs. (Round your answer to the nearest full month.)
Answer:
28 Months
Step-by-step explanation:
(1140-1072)= 68
(1900/68)=27.9 ~ 28
what is 10(x-2)-(x-4)
Find the area of the shape shown below.
Answer:
29
Step-by-step explanation:
Answer:
42.5
Step-by-step explanation:
Cut this up and the rectangle at the top has an area of 9*3.5 = 31.5. The triangle in the bottom left corner has an area of 2, the square has an area of 4 and the bottom right triangle has an area of 5.
Add these values up to get 42.5
How many terms of the series do we need to add in order to find the sum with an absolute value of its error to be less than 0.01?
Answer:
Hello your question is incomplete attached below is the complete question
answer : first 7 terms ( option 3 )
Step-by-step explanation:
Determine the number of terms of the series that is needed to find a sum with an absolute value of its error to be less than 0.001
The number is : 7
attached below is the detailed solution
I’ll mark Brainliest
What’s the total and lateral surface area for the figure?
Answer:
40
Step-by-step explanation:
I believe that should be right
is -1 equivalent to -3 - (-12)
Answer:
no
Step-by-step explanation:
-1 - (-12)
the two negative signs before the 12 cancel out so it ends up being
-1+12
-1+12=11
11 and -1 are not equal to each other
Answer:
No
Step-by-step explanation:
-3-(-12)=-3+12
-3+12=9
Determine the lateral and total surface area of the pyramid
Answer:
where are the numbers?
Step-by-step explanation:
Answer:
Ur in collage??
Step-by-step explanation:
Im in middle school learning this!! and what r the numbers?
3.9÷10₅ = (power of 10)
Write 40673 to the nearest thousand.
Answer:
50000
Step-by-step explanation:
Answer:
41000
thank me later have a great day
1.92 as a percentage of 1.60
Answer:
120%
Step-by-step explanation:
100% = 1.6, 0.32=20%
Write the algebraic expression:
99 times the sum of y and 9
Question 3 of 10
Which statement is not correct?
A. A 100° angle is an obtuse angle.
B. A 175° angle is a reflex angle.
C. The terminal side of a 225° angle is in quadrant III.
D. An 85° angle is an acute angle.
SUBMIT
From the above explanation, the option B statement is not correct.
From the given options we need to identify which statement is not correct.
What is an obtuse angle?An obtuse angle is any angle greater than 90° and less than 180°.
From option A:
100° angle is an obtuse angle, because which is greater than 90° and less than 180°.
From option B:
175° angle is a reflex angle because it is greater than 180° and less than 360°.
From option C:
Less than 90° lies in I quadrant, more than 90° and less than 180° lies in II quadrant and more than 180° and less than 270° lies in III quadrant.
From option D:
An 85° angle is an acute angle because it is greater than 0° and less than 90°.
From the above explanation, the option B statement is not correct.
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2 Each Saturday Mr. Franklin teaches 3 piano lessons at his music school and 4 piano lessons in students' homes. For each lesson at his music school, he charges $15. • For each lesson in a student's home, he charges $20. Which set of equations can be used to find m, the amount of money in dollars Mr. Franklin earns from piano lessons each Saturday? F 15 x 4= 60 20 X 3 = 60 60 + 60 = m G 15 = 3 = 5 20:4= 5 5 + 5 = m H 15 x 3 = 45 20 x 4 = 80 80-45 = m J 15 x 3 = 45 20 x 4 = 80 45 + 80 = m
Answer:I Don't Know
Step-by-step explanation:
Simplify 3y + 6y + 8
Answer:
Use photo math it will help you.
Answer:
9y+8
Step-by-step explanation:
I hope this helps! You add 3y+6y which is 9 and then you add 8, so the answer is 9y+8
how does the digit 5 in the number 357 compare with the digit 5 in number 465
Answer:
The digit 5 in 357 is in the tens place while the digit in the number 465 is in the ones place
Step-by-step explanation:
Good luck
Choose all that apply!! i’ll give a brainly!!
Step-by-step explanation:
The answer is A
PLEASE FOLLOW ME
Please help! And make sure to add a let statement!
Answer: See explanation
Step-by-step explanation:
1. Let the small number be x
Then, the bug number will be: x + 25
Therefore, x + x + 25 = 131
2x + 25 = 131
2x = 131 - 25
2x = 106
x = 106 / 2
x = 53
Small number= 53
Big number = x + 25 = 53 + 25 = 78
2. Let the small number be x
Then, the bug number will be: x + 14
x + x + 14 = 58
2x + 14 = 58
2x = 58 - 14
2x = 44
x = 44/2
x = 22
Small number = 22
Bug number = 22 + 14 = 36
The numbers are 22 and 36.
3. Let number of basketball sold be x
Therefore, number of football sold will be x+3.
Therefore, x + x + 3 = 27
2x + 3 = 27
2x = 27 - 3
2x = 24
x = 24/2
x = 12
12 basketball were sold
Number of footballs sold = 12 + 3 = 15
4. Let calories in bowl of soup x
Hamburger = 2 × x = 2x
Therefore, x + 2x = 738
3x = 738
x = 738/3
x = 246
There are 246 calories in bowl of soup
Calories in hamburgers = 246 × 2 = 492 calories
A 108-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
The short piece is
inches long
Answer:
18 and 90
Step-by-step explanation:
If we express in units,
Long piece has 5 units
Short piece has 1 unit
total 6 units
108/6 = 18 inch
which is the length of 1 unit
short = 18 * 1
long = 18 *5
Jada’s babysitter is four times Jada’s current age. In 5 years, Jada will be half her babysitter’s current age.
Answer:
24
Step-by-step explanation:
We can deduce that Jada's current age from her babysitter's age is 6 years.
Word problems in algebra?Word problems in algebra involve our ability to discern abstract concepts and define variables that can be used to solve them algebraically. We do so by writing out an equation using variables and solving the equation.
From the given problem;
If Jada's current age = xThen Jada Babysitter = 4xSo, x + 4x = 1
In five years' time;
Jada Babysitter's age = 5(4x)Jada current age [tex]\mathbf{=\dfrac{5(4x)}{2}}[/tex]So, we can have the equation:
[tex]\mathbf{\rightarrow \ 5(4x) + \dfrac{5(4x)}{2} = 5}[/tex]
20x + 10x = 5
30x = 5
x = 0.6
Therefore, Jada's current age is [tex]\mathbf{=\dfrac{5(4(0.6))}{2} = 6 years }[/tex]
Learn more about word problems in algebra here:
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a^2 - 2ab^2 if a = 9 and b = 3
What the solution for CED
Answer:
Step-by-step explanation:
The two adjacent angles must have a sum of 180
CED=180-122
CED=58 degrees
-4x² – 26 + 7x – 6x² + 10 -12x =
Answer:
-10x^2-5x-16
Step-by-step explanation:
collect like terms
-4x² – 26 + 7x – 6x² + 10 -12x =
-10x^2-16-5x
reorder it in ax^2+bx+c order
-10x^2-5x-16
the sides of a right triangle are 3,4 and 5 the tangent of angle A is
Answer:
?
Step-by-step explanation: