3. Diego made the shape on the left, and Elena made the shape on the right. Each shape
uses 5 circles
Select all the true statements.
A. The smallest circle in Diego's design is congruent to the smallest circle in Elena's
design.
B. Diego's design is congruent to Elena's design
C. Elena's design is a translation of Diego's design
Answers
The two circle designs are missing, so i have attached it.
Answer:
Options A & B are true.
Step-by-step explanation:
Congruent circles are basically identical. This means that they have the same radius and diameter but different centres.
Now, from the attached image, we see that the smallest circle in diogo's design has diameter of 2 units & radius of 1 unit while the one in Elena's design also has exactly the same measurement. Thus, we can conclude the smallest circle in diogo's design which is the first one is congruent to the smallest circle in the second design for Elena.
So option A is correct.
Looking carefully at both designs, we can observe that one is concentric while the other is eccentric. However, all the similar sized circles have the same radius & diameter. Thus, we can still say that both designs are congruent. So option B is correct.
In transformations, a translation is when all the points in a an object are made to move up or down in a state straight line in that same direction. However, the objects shape and size remains the exactly the same.
In this case, it's not so because the circle changed from concentric circles to eccentric circles. So this option C is not correct.
Related Questions
Suppose we lived in a society without interest. At age 25, you begin putting in $750 per month into a cookie jar until you retire at age 65. At age 65, you begin to withdrawl 2500 per month from the cookie jar. How long will your retirement fund last?
Answers
Answer:
the retirement fund would last 12 years
Step-by-step explanation:
first we find the amount of years one will be saving money by subtracting the age one will start saving money from the age one would start using the money.
65 - 25 = 40 years
next will be finding the amount of dollars one would save every year, we do that by multiplying the money one is saving every month by 12 (a year).
12 × 750 = 9,000 dollars per year
then we multiply the amount of money one would save per year by the amount of years one will be saving money in, to find how many dollars one would save in 40 years.
9,000 × 40 = 360,000 dollars in 40 years
-
after that we divide the amount one would have saved by the $2,500 one would use every month to find the amount of months the money would last.
$360,000 ÷ $2,500 = 144 months
to find how many years the money would last, one would divide it by 12, which is the amount of months per year.
144 ÷ 12 = 12
It will last 12 years. So it'll last till he's 77 years old at the rate he's pulling it out.
Step-by-step explanation:
You need to find the difference in the ages. so we need to find out how long he's been saving in the 1st place. 65 - 25 = 40 yearsWe now need to covert that 40 years into months. 40 × 12 = 480 months In order to know how much money he saved over that 40 years or 480 months times that by 750. 480 × 750 = 360,000Now we know over the course of 40 years he managed to save 360,000$ when he was putting in 750 a month. Now since he's retired he's taking out 2500 a month and we need to know how long it'll last.So to find out how long the 360k will last if taken out of 2500 increments just divide that rate but the total !! 360,000 ÷ 2500 = 144It will last him 144 months, now convert this number back to years. 144 ÷ 12 = 12 years So now we know it'll last him for 12 years ! and if u add 12 to 65 you'll get 77, so in 12 years he'll be 77!!This is why it'll last him 12 years, which he'll be 77 by that time !! I hope this helped !!
9783
8 sth
2400
A tank is completely filled with water. A pump is used to drain the tank. The amount of
water remaining in the tank is given by the equation y=600-25x, where x is the number
of minutes since the pump started and y is the volume, in gallons, of water remaining
in the tank. In the equation, what are the meanings of the numbers 25 and 600?
Answers
Answer:
yes
Step-by-step explanation:
"if a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1.8"
Answers
Answer:
yes you are right
What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.
(0.9273 +17,0), where n is any integer
(0.9653 +12,0), where n is any integer
(0.9273 +2n7,0), where n is any integer
(0.9653 +217,0), where n is any integer
Answers
Answer:
C on edge
Step-by-step explanation:
The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
the function is,
y=6tan (x/2)-3
we know that,
the x-intercepts of the graph of the function, we put y = 0
so, we get,
6tan (x/2)-3 = 0
or, tan (x/2) = 3/6
or, tan (x/2) = 1/2
or, x/2 = 0.4636
The period of tangent is π, so we have,
x/2 = 0.4636 + nπ
or, x = (0.9273 +2nπ)
Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
To learn more on function click:
brainly.com/question/21145944
#SPJ7
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT
Answers
Answer:
500/40125/vDensitym/vI hope this helps!
A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 49 minutes? In 1 hour?
Answers
Answer:
32 2/3
Step-by-step explanation:
1 1/2x 2 1/4 =2/3
Then multiply 2/3 times the minutes (49)
You will get 32.6666
Convert that to a fraction or use calculator soup
Therefore the car will travel 32 2/3 miles in 49 minutes
(40 miles in one hour)
30 = [(10 - 8) + (17-14)]
Answers
Answer:yes
Step-by-step explanation:kubjubjugjugjugjugjugjugju
Add or subtract the numbers in the parentheses first to get 2 + 3 then add those numbers together and get 5 and subtract that from 30 to get 25
Examine the intersection of these two lines:
Which of the following pairs of angles are
supplementary? Select all that apply.
Answers
Answer:
You can't answer this question since there is no picture. Remember though the any 2 angles that make 180 degrees or resembles a line is 180 degrees.
The sum of four siblings ages is 71. The second child’s age is twice the youngest, the third child’s age is twelve more than the youngest, and the oldest child is four less than three times the youngest. Find each of the siblings ages.
Answers
Answer: 9, 18, 21, and 23 respectively
Step-by-step explanation:
To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.
r = first child (youngest)
x = second child
y = third child
z = fourth child (oldest)
We know that r + x + y + z = 71
We also are given info on the comparisons of their ages.
r = r
x = 2r (2 times the youngest)
y = 12 + r (12 more than the youngest)
z = 3r - 4 (4 less than 3 times the youngest)
That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.
Child #1 (youngest)
[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]
Child #2
[tex]x=2*9=18yrs[/tex]
Child #3
[tex]y=12+r=12+9=21yrs[/tex]
Child #4 (oldest)
[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]
Fact Check:
[tex]9+18+21+23=71[/tex]
Solve for x: 5 − (x + 5) > −2(x + 4)
x > −8
x −18
x < −18
PLS PLS PLS HURRY I GIVE BRAINLIEST
Answers
Answer:
The answer is
[tex] \huge x > - 8[/tex]
Step-by-step explanation:
[tex]5 − (x + 5) > −2(x + 4)[/tex]
First of all expand the terms in the bracket
That's
[tex]5 - x - 5 > - 2x - 8 \\ - x > - 2x - 8[/tex]
Add 2x to both sides
[tex] - x + 2x > 2x - 2x - 8 \\ x > - 8[/tex]
We have the final answer as
[tex]x > - 8 [/tex]
Hope this helps you
Answer:
x > -8
Step-by-step explanation:
5 − (x + 5) > −2(x + 4)
Simplify both sides first:
5 - x - 5 > -2x - 8
-x > -2x -8
Now isolate the variable:
-x > -2x -8
+2x +2x
x > -8
The length of a violin string varies indirectly with the frequency of vibrations of the string. When the length is 50 centimeters, the
frequency is 2 Hz
What is the frequency of a string 40 centimeters long?
Enter your answer in the box
Answers
Answer:
The answer is 2.5
Step-by-step explanation:
On the quiz I just type anything and that was the answer
Who can help me with my math homework I can ask the questions on here the way they are set up?
Answers
Answer:
i can
Step-by-step explanation:
At a local department store, cardigans are typically priced at $15. Due to a special,
the cardigans are reduced to 80% of their original price.
How much are cardigans now?
Answers
Answer:
$3
Step-by-step explanation:
80% of 15 is 12
15-12=3
Please Help Me, I Cant Even Do the First Step Of The Problem :(
Theres an image of the graph in the question.
The graph of g is a vertical translation of the graph of f.
If f(x) = mx + b and g(x) = (mx + b) + k. What value for k transforms the function f into g?
k = ???
Answers
Answer:
k = -3
Step-by-step explanation:
Marshall buys a sack of peaches for $5.98. The peaches weigh
2.77 pounds. About what price per pound did Marshall pay? Estimate using compatible numbers.
Answers
Answer:
Step-by-step explanation:
a
What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?
Answers
Answer:
7,-10
Step-by-step explanation:
Calculate 3 over 4 ÷ 5 1 fifth
Answers
Answer:3/20
Step-by-step explanation:
3/4/ 5/1
3/4 x 1/5 =3/20
whats the mass of 9.4 x 10^25 atoms of lithium
I NEEDDD HELP
Answers
Ernie went to see some friends in San Antonio 240 miles away. It took him 3 hours to get there. What was his average speed?
Answers
Answer:
Find out yourself buddy XD
Answer:
his average speed was 60 miles per hour
Step-by-step explanation:
their are three ways to get the answer
1. if you take the 0 away from 240 it becomes 24, and 24 divided by 3 = 6 add the the 0 back in and you get 60.
2. 240 divided by 3 = 60
3. Use a calculator
Thank you guys for helping me. I need help on this one
Answers
Answer: 10 times 8 and 8 times 10
Step-by-step explanation:
those are the first in the multiplication table that have the same digits
What multiplies to be a 20 and adds to be a -21?
Answers
Answer:
-20 & -1
Step-by-step explanation:
-20+-1=-21
-20*-1=20
Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odometer affected? How is the speedometer
affected?
Answers
Answer:
Step-by-step explanatin
it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook
Solve for x
3x/2 - 2 > 7
Answers
Answer:
x>6
Step-by-step explanation:
answer is above
Answer:
x>6
Step-by-step explanation:
3x/2 - 2 > 7
+2>+2
3x/2>9
2(3x/2)>(9)2
3x>18
3x/3>18/3
x>6
Question 3 (20 points)
Factor:
36x2 - 81y2
(6x + 9y)(6x + gy)
(9x - 9y)(4x + 9y)
(6x - 9y)(6x - 9y)
(6x - 9y)(6x + 9y)
Answers
Answer:
D
Step-by-step explanation:
The square root of 36 is 6 and the square root of 81 is 9 so that cancels out the answers C and B then there is a subtraction symbol in the original equation so there has to be one in the answer which cancels our A and leaves you with the final answer D.
2 + 4s >10 aanswer
Answers
Answer:
s>2
Step-by-step explanation:
2 + 4s >10
First, subtract 2 on both sides.
2 + 4s >10
-2 -2
4s>8
Divide by 4 on both sides to isolate x.
4s>8
/4 /4
s>2
Hope this helped you out! Have a great day c:
I need this answer
5x + 10 = 6x – 20
Answers
Answer:
30
Step-by-step explanation:
Step 1:
5x + 10 = 6x - 20 Equation
Step 2:
10 = x - 20 Subtract 5x on both sides
Step 3:
10 + 20 = x Add 20 on both sides
Answer:
x = 30
Hope This Helps :)
Answer: x=30
Step-by-step explanation:
X + 9 = X - 9
One Solution
Infinitely many
solutions
No Solutions
Please help
Answers
Answer:
no solution
Step-by-step explanation:
It's no solution because the first step to do is to subtract 9 from both sides which would give you x=x-18 but now your stuck here because if you subtract x from both sides then you wont have an x so this equation has no solution
Answer:
No solution
Step-by-step explanation:
I need some help please
Answers
Answer:
a: y=-1/2x-3/2
b: y= -4x+2
Step-by-step explanation:
Robinson had 17 1/5 feet of wire. He used 9 ¼ feet of the wire to repair a broken fence. How many feet of wire were left? (Give answer in decimal form)
Answers
Answer:
7.95
Step-by-step explanation:
convert both numbers to decimals so 17.2 and 9.25 and just subtract so, 17.2-9.25=7.95
I need help with this please