You and a friend join a gym. The registration fee is $30 and the monthly membership is $20. If the total bill for you and your friend is $420, how many months did you pay for?
Answer:
You payed for 18 months.
Step-by-step explanation:
420-60=360
360÷20=18
a. Identify the series of transformations that would map Circle A onto Circle B.
b. Identify the series of transformations that would map Circle C onto Circle A.
Answer:
Step-by-step explanation:
Assumed Knowledge
Motivation
Content
Radii and chords
Angles in a semicircle
Angles at the centre and circumference
Cyclic quadrilaterals
The alternate segment theorem
Similarity and Circles
Links Forward
Converse of the circle theorems
Coordinate geometry
Calculus
History and Applications
The Euler line
The nine-point circle
Morley’s trisector theorem
Appendix − Converses to the Circle Theorems
Answers to Exercises
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ASSUMED KNOWLEDGE
Introductory plane geometry involving points and lines, parallel lines and transversals, angle sums of triangles and quadrilaterals, and general angle-chasing.
Experience with a logical argument in geometry written as a sequence of steps, each justified by a reason.
Ruler-and-compasses constructions.
The four standard congruence tests and their application to proving properties of and tests for special triangles and quadrilaterals.
The four standard similarity tests and their application.
Trigonometry with triangles.
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MOTIVATION
Most geometry so far has involved triangles and quadrilaterals, which are formed by intervals on lines, and we turn now to the geometry of circles. Lines and circles are the most elementary figures of geometry − a line is the locus of a point moving in a constant direction, and a circle is the locus of a point moving at a constant distance from some fixed point − and all our constructions are done by drawing lines with a straight edge and circles with compasses. Tangents are introduced in this module, and later tangents become the basis of differentiation in calculus.
The theorems of circle geometry are not intuitively obvious to the student, in fact most people are quite surprised by the results when they first see them. They clearly need to be proven carefully, and the cleverness of the methods of proof developed in earlier modules is clearly displayed in this module. The logic becomes more involved − division into cases is often required, and results from different parts of previous geometry modules are often brought together within the one proof. Students traditionally learn a greater respect and appreciation of the methods of mathematics from their study of this imaginative geometric material.
The theoretical importance of circles is reflected in the amazing number and variety of situations in science where circles are used to model physical phenomena. Circles are the first approximation to the orbits of planets and of their moons, to the movement of electrons in an atom, to the motion of a vehicle around a curve in the road, and to the shapes of cyclones and galaxies. Spheres and cylinders are the first approximation of the shape of planets and stars, of the trunks of trees, of an exploding fireball, and of a drop of water, and of manufactured objects such as wires, pipes, ball-bearings, balloons, pies and wheels.
a) The series of transformations to map Circle A onto Circle B is likely a translation. b) The series of transformations to map Circle C onto Circle A is a translation, rotation, and scaling.
a. To map Circle A onto Circle B, we must determine the transformation sequence. We can scale, rotate, and translate.
Translation: An object is translated horizontally or vertically without affecting shape or orientation. To match Circle B, Circle A appears to need to be shifted right and up.
Rotation: An object rotates around a fixed point. Rotation may not be needed since Circle A and Circle B appear to be aligned.
Scaling: An object is resized by scaling. Since Circle A and Circle B are the same size, scaling doesn't seem necessary.
Thus, Circle A-to-Circle B transformations are likely translations.
b. Again, we must determine the transformation sequence to transfer Circle C onto Circle A. Translation: Based on their relative positions, Circle C needs to be shifted left and down to match Circle A.
Rotation: To align Circles A and C, they must be rotated.
Scaling: Circle A is larger than Circle C, hence Circle C should be scaled down.
Thus, translating, rotating, and scaling map Circle C onto Circle A.
To know more about transformations
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A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5
points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
O The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer:
10 three point and 14 5 point
Step-by-step explanation:
Ive answered this same question a lot
-6 · f(3) – 6 • g(-1) =
Answer:
−18f+6g
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
-6 · f(3) – 6 • g(-1) =
= −6⋅f(3)−6⋅g(−1)=−6(−2)−6(6)
= 12 - 36
= -24
Have a good day :p
Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answer:
3.25
Step-by-step explanation:
Cost of a tie: $35.50
Markup: 30%
Discount: 20%
Tax: 5%
Answer:
40.25 i believe
Step-by-step explanation:
junkrat and reaper are the two people you wanna switch to if there's an enemy pharah
Answer:
junk personally
Answer:
junk
Step-by-step explanation:
at the end of the basket ball game, the players were given the choice of having a bottle of water or a box of juice. of all the players, 12 chose a water bottle which was 3/4 of the total amount of players. Write and solve the equation to determine p, the total amount of players in the basket ball game.
Answer: 16 players in total
Step-by-step explanation:
12 divided by 3/4 is 16
12 / 3/4 = p
16 / p
Read and answer the question shown below.
20 points
Misty plans to attend Austin College in Sherman, Texas. She researched and estimated the
following expenses for a year if she lives on-campus.
Tuition and Fees
Room and Board
Books
Other
TOTAL
$33,830
$11,715
$2,500
$2,500
$50,545
Misty has a $1,000 scholarship from the PTA where she attended elementary school. She
plans on working part-time during college. She estimates she can earn $500 a month for the 9
months she will be there. Her parents are going to pay the expenses in 4 equal payments,
about how much will each payment be after her scholarship and her earnings are applied to the
cost?
A $41,945
B $10,486.25
C $11,261.25
D $11,286.25
lits
I NEED HELP PLEASE!!!!!!
Answer:
y-intercept: 11
which means the baby weighs 11 lb when it is born (t=0).
Step-by-step explanation:
NEED HELPP CORRECTT ANSWERS AND WILL GIVE THANKS AND MARK BRAINLIST ONLY FOR CORRECT ANSWER
4,20
i think that the answer
Withat are the missing length(s) of the sides of the triangle labeled 'a' and ‘b’.
What is the solution to the system of equations?
2x+3y=26
3x+5y=40
1. X=10, y=2
2. X=10, y=-2
3. X=-10, y=-2
4. X=-10, y=2
Answer:
1. x = 10 , y = 2
Step-by-step explanation:
hope it helps ☺️
Hope you can see this
Answer:
I can see it, sorry
Step-by-step explanation:
Question 15 (5 points)
5
6
(2) There are two paths that one can choose to go from
Sarah's house to James house. One way is to take C street,
and the other way requires to take A street and then B
street. How much shorter is the direct path along C street?
(Using figure).
3
9
12
Sarah
house TTT
15
James
house
B Street
1.5 miles
C Street
A Street
2 miles
Bookstore A sells a particular book for $15.25, but they have it on sale for 20% off. Bookstore B sells it for $12.45. How much more does it cost at Bookstore B?
Answer:
$0.25
Step-by-step explanation:
to find the amount bookstore A sales after the 20% discount, cross multiply x/15.25=20/100 and you get $3.05. 15.25-3.05 gives you $12.2. substract 12.2 from 12.45 and you get $0.25. book B costs $0.25 more than book A.
Lupita y Fernando y Andrés quieren comprar entre los tres una bicicleta que ven todos los días en el aparador de la tienda todo para todos para sus vacaciones le han deseado tanto que decidieron comprarla cada uno sacó cuentas de lo que debería pagar por la bicicleta
Answer:
el precio de la biciclete entre 3 es lo que van a pagar cada quien.
Step-by-step explanation:
What is the line of best fit for these points?
(0, 6)(2, 10) (-2, 2)(-1,4)
Answer:
b
Step-by-step explanation:
This is the graph to your question. The points include: (0, 6) (2, 10) (-2, 2) (-1,4)
Can someone help me on this? Quite lost
answer:
2. 3/2
1. y=-7
Step-by-step explanation:
Pls help me pls and thank you
Answer:
10
Step-by-step explanation:
2/3 of 15 is 10
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets was £1804.80
And adults ticket costs £51.60
Find the cost for a child
Answer:
45.56923076923077
Step-by-step explanation:
Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....
Which equation represents a line with a slope of -6/5
and a y-intercept of 1?
Answer:
y = -6/5x + 1
Step-by-step explanation:
The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1
How to determine the equation?The given parameters are:
Slope, m = -6/5y-intercept = 1Let the variable of the equation be x.
A linear equation is represented as:
y = Slope * x + y-intercept
So, we have:
y = -6/5 * x + 1
Evaluate
y = -6/5x + 1
Hence, the equation is y = -6/5x + 1
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What is the value of y=5x+3 when x = 3
Answer:
y = 5(3)+3
= 15 +3
= 18
y = 18
hope it's helpful ❤❤❤❤
THANK YOU.
Slope =3/2 y-intercept =0
Answer:
The equation is y=3/2x
Step-by-step explanation:
can someone please help me? it would mean so much to me. thanks a lot!
Answer:
Maybe -3
Step-by-step explanation:
I am not 100% sure but it is better than nothing,
since 3+3=6 I think after 3 is 6, and after 6 is 9. I think that because the more right the line goes you add 3 to every move. So therefore, 3-3=0, and 0-3= -3
Hope this helps. Also, I hope I gave you the correct answer.
18. Find the measure of angle STP.
Answer:
x=7
Step-by-step explanation:
∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)
15x=7x+1+7x+6
x=7
Find the geometric mean of sqrt 77 and sqrt 343.
Answer:
12.75
Step-by-step explanation:
The computation of the geometric mean of sqrt 77 and sqrt 343 is given below:
As we know that
Geometric mean = [tex]\sqrt{ab}[/tex]
where
a is the first number = [tex]\sqrt{77}[/tex]
And, the b is the second number = [tex]\sqrt{343}[/tex]
Now first we have to convert into a number
For a it, is = 8.78
And, for b, it is = 18.52
Now the geometric mean is
[tex]= \sqrt{8.78 \times 18.52}[/tex]
= 12.75
What is the approximate radius of a sphere with a volume of 1436 cm3?
A. 41 cm
B. 14 cm
c. 7 cm
D. 69 cm
Answer:
r≈7cm
Step-by-step explanation:
Using the formula
V=4
--------= πr^3
3
r=(3V
-------------
4π)⅓=(3·1436
4·π)⅓≈6.99877cm
the answer is 7cm
Answer:
C. 7 cm
Step-by-step explanation:
Took the quiz. Trust
I am holding $2 in dimes and quarters. There are 11 total coins in my hand. How many are dimes and how many are quarters?
Answer:
6 quarters and five dimes
Step-by-step explanation:
;)
Answer:
6 quarters and 5 dimes
Step-by-step explanation:
6 quarters = $1.50
5 dimes = $0.50
What is the y-intercept of the graph of the line given by the equation 3y + 4x = 15
A. 5
B. 4
C. 3
D. -4/3
Answer:
It would be 5
Step-by-step explanation: