Question 3: Quadrilateral A'B'C'E' is the image of quadrilateral ABCE after a dilation centered
at point F. What is the scale factor of this dilation? Explain your work in at least 2 sentences.
C
6
B
C'
B 3
3
1.5
2.5 5
A
E
А
E
Answers
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Explanation:
We have AB = 3 and A'B' = 1.5; the ratio between the two segment lengths is (A'B')/(AB) = (1.5)/(3) = 1/2 = 0.5
Similarly,
(B'C')/(BC) = (3)/(6) = 1/2 = 0.5(C'E')/(CE) = (2.5)/(5) = 1/2 = 0.5You only need to pick one of these statements to be able to find the scale factor. The scale factor of 1/2 or 0.5 indicates that the image is half as small compared to the preimage. More specifically, each segment of the image is half as small compared to the corresponding segment on the preimage.
A'B' is half as small as ABB'C' is half as small as BCC'E' is half as small as CEA'E' is half as small as AEWe don't have numbers for AE and A'E', but the last statement above must be true because the dilation applies to all segment lengths.
The scale factor of this dilation in the given quadrilateral will be equal to 0.5 times.
What is a Polygon?A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines. Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.
As per the given information in the question,
AB = 3 and A'B' = 1.5;
Then, a ratio of the two segment lengths exists.,
(A'B')/(AB) = (1.5)/(3) = 1/2
(A'B')/(AB) = 0.5
In the similar way,
(B'C')/(BC) = (3)/(6) = 1/2
(B'C')/(BC) = 0.5
(C'E')/(CE) = (2.5)/(5) = 1/2
(C'E')/(CE) = 0.5
A'B' is half as small as AB, B'C' is half as small as BC, C'E' is half as small as CE, A'E' is half as small as AE.
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Related Questions
50 multiplied by 1,856
Answers
Answer:
92800
Step-by-step explanation:
Brainliest?
Hope this helps
I need major help, I don't understand
Answers
Answer:
4, 10, 16, 22
Step-by-step explanation:
Plug in the variables according to the equation
So for the equation f(x)= 3x-2 plug if you were looking for A you would put A for f(x) and 2 where the x is so it would look like
A= 3(2)-2 which is A= 6-2 = 4
If we do the same for all of them then they would look like:
B= 3(4)-2
12-2= 10
C= 3(6)-2
18-2= 16
D= 3(8)-2
24-2=22
So youre basically replacing the f(x) and x by the table chart
I hope this helped :)
I Just want to know the difference in between graphing in two different ways...
Just, can someone tell me the difference between these if you can see how different they are? My subject is the Systems of Inequalities
Answers
Answer:
It's simple.
Step-by-step explanation:
Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.
HELP IS FOR A TEST IF I FAIL MY MOM WILL MAKE ME MOVE SCHOOL· One gym charges an initial fee of $30 and a monthly fee of $10. · The other gym charges a monthly fee of $12. Which equation could be used to find out how many months, m, it would take for both memberships to cost the same? A. 12m + 30 = 10m + 30 C. 10m = 12m 12m + 30 = 10m B. 10m + 30 = 12m
Answers
Answer:
10m +30=12m
Step-by-step explanation:
y=10x +30
y=12x
The ratio of children to adults at the football game was 23. If there were 140 children at the football game,
how many adults were there?
Answers
Answer:
Therefore, the number of adults at the football game was 6.
Step-by-step explanation:
Let A represents the number of adults and C represents the number of children.
Therefore, the ratio of children to adults is given as follows:
23:1 = C:A ....................... (1)
Since C = 140, this is substituted into equation (1) as follows:
23:1 = = 140:A ....................... (2)
Transforming equation (2) and solve for A, we have:
23 / (23 + 1) = 140 / (140 + A)
23 / 24 = 140 / (140 + A)
0.958333333333333 = 140 / (140 + A)
0.958333333333333 (140 + A) = 140
(0.958333333333333 * 140) + 0.958333333333333A = 140
134.166666666667 + 0.958333333333333A = 140
0.958333333333333A = 140 -134.166666666667
0.958333333333333A = 5.833333333333
A = 5.833333333333 / 0.958333333333333
A = 6.08695652173878
Rounding to a whole number, we have:
A = 6
Therefore, the number of adults at the football game was 6.
how to factor (x^3+3x^2)+(25x+75)
Answers
The total number of equally-sized tiles on a circular floor
A. Circumference
B.Area
Answers
Answer:
area
Step-by-step explanation:
area............
The total number of equally-sized tiles on a circular floor is Area.
Given that, the total number of equally-sized tiles on a circular floor.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle. It may also be referred to as the total number of square units inside that circle.
Hence, the total number of equally-sized tiles on a circular floor is Area.
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the graph shows the proportion of red and blue food coloring ,that taylor mixes to make purple ,what is the slope of the line ?tell what in the problem situation ,math question
Answers
Answer: nothing
Step-by-step explanation:
Hair grows on your head faster than any other place on your body. Sue was interested in figuring out how fast her hair grows so she measured the growth. After 15 days her hair grew 3 mm. After 50 days, it grew 10 mm. If hair growth can be represented by a linear growth, then a) write a function for the growth G(x) as a function of x= number of days b) how long did it take Sue's hair to grow 17 mm?
Answers
mY HAIR dOesNt GRoW FaStEr oN My HHeAD
hi, Ryan and Abby I kinda need ur help :)
Answers
Answer:
6, 7, 63, 6, 7, 63, 130.9
Jut pit those numbers in the blanks
Answer:
63
Step-by-step explanation:
You have to multiply 10.5 by 6 and you get 63 then add that to 9.7 multipled by 7 and you get 130.9. Then subtract that by 67.9 and you get 63 to check add 63 to 67.9 and you get 130.9 so thereof the answer is 63.
PLS HELP ME ;;;-;;;
I have the answer all I need is to show the work so pls help me with that
Find the value of X.
Answers
Answer:
X=11
Step-by-step explanation:
9x+6= (3x+2)+(70)
Simplify: 6x+6=72
6x+6=72
6x=66
x=11
Paul is buying lunch from a fast-food restaurant. He has 5 sandwiches, 7 sides, and 10 drinks to choose from. If Paul doesn’t want two of the sandwiches, how many possibilities for lunch can he have?
Answers
Answer:
He has 5 sandwiches, 7 sides, and 10 drinks to choose from
Step-by-step explanation:
Aa liner equation in two variables, x and y, is an equation that can be written in the form ____, where m and b are constants.
Answers
Answer:
a linear equation normally looks like y = mx + b, where m and b are constants, x is the independent variable, y is the dependent variable.
Step-by-step explanation:
A pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind
Answers
Answer:
20
Step-by-step explanation:
pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind
The speed can be defined as the ratio distance over time, but in this case the pilot is flying at the speed of the plane as well of speed of the wind. We can denote speed of plane as "s" and speed of the wind as "k"
Then the speed of the plane=(s-k) this is because it is moving in the opposite direction of the wind.
But From the question, the plane distance=400mile and the corresponding time =2.5 h
Then the speed of the plane=(s-k) =400mile/2.5
=160mph
By the time it return from trip, the speed the plane flew with is (s+k) because the wind is at the rear.
From the question, the plane distance=400mile and the corresponding time =2 h
Then (s+k)= (400/2)
(s+k)=200mph
A company has 40 executives and 120 customer service representatives. If these are the only
employees, what percentage of the employees are executives? Explain how you determined the
percentage of employees are executives.
Answers
Answer:
25%.
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of Executives = 40
Number of customer service representatives = 120
Percentage of the employees that are executives =?
Next, we shall determine the total number of employees in the company. This can be obtained as follow:
Number of Executives = 40
Number of customer service representatives = 120
Total number of employees =?
Total number of employees = (Number of Executives) + (Number of customer service representatives)
Total number of employees = 40 + 120
Total number of employees = 160
Finally, we shall determine the percentage of the employees that are executives as follow:
Number of Executives = 40
Total number of employees = 160
Percentage of the employees that are executives =?
Percentage = Number of Executives/ total employees × 100
Percentage = 40/160 × 100
Percentage = 0.25 × 100
Percentage = 25%
Therefore, the percentage of the employees that are executives is 25%
Which one is correct
Answers
Answer:
7
Step-by-step explanation:
Answer:
7 m
Step-by-step explanation:
We see that the the side measuring 6 m corresponds to the side measuring 18 m. Also, the side measuring 8 m corresponds to the side measuring 24 m. In each case, the corresponding side of the right triangle is 3 times larger than the side of the left triangle. We divide 21 m by 3 to get 7 m.
Answer: 7 m
solve the system equation
x-2y=27
y=5x
A (-4,-20)
B (3,25)
C (-3,-16)
D (-3,-15)
Answers
We will use substitution to solve this system for x.
[tex]x - 2y = 27\\y = 5x\\\\x - 2(5x) = 27\\\\x - 10x = 27\\\\-9x = 27\\\\x = -3[/tex]
Now that we know what x is, we can determine y by pluging in -3 for x in one of the original equations. I will use the first one.
[tex]-3 - 2y = 27\\\\-2y = 30\\\\y = -15\\[/tex]
We now have our solution.
D. [tex](-3, -15)[/tex]
We can check our answer by pluging the solution into one of the original equations to see if both sides equal each other. I will use the first equation.
[tex]-3 - 2(-15) = 27\\\\-3 + 30 = 27\\\\27 = 27[/tex]
Since the equation checks out, our solution is correct.
Divide the polynomials. Your answer should be in the form p(x) + k/x where p is a polynomials and k is an integer. 4x^4-x^2+3/x
Answers
Answer:
Step-by-step explanation:
4[tex]x^{4}[/tex]-x²+3 / x =
So, we need to think about this problem as either what we have to multiply x by to get the equation, and do long division
= 4x³- x + [tex]\frac{3}{x}[/tex]
Oliver shot 8 free throws at practice, making 6 free throws and missing 2 free throws. If Oliver equally likely to make a free throw as he is to miss a free throw, find the probability of this outcome by expanding (m + n)8. Round to the nearest percent if necessary.
Answers
Answer: m
8 + 8 m 7 n + 28 m 6 n 2 + 56 m 5 n 3 + 70 m 4 n 4 + 56 m 3 n 5 + 28 m 2 n 6 + 8 m n 7 + n 8
Step-by-step explanation: Just use binomial theorem
The probability of this outcome by expanding (m + n)8 is 4.
What is Probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Given:
Total free shots = 8
Oliver make free shots =6
Oliver missed free shots = 2
As, Oliver wanted the free throw and the free throw he missed turn both equal.
So,
=8 / 2
= 4.
Hence, probability of this outcome by expanding (m + n)8 is 4.
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given a slope of 2 and point (-4,5) write an equation in point slope form
Answers
Answer:
y-5=2(x+4)
Explanation:
Point slope form is:
y-y1=m(x-x1)
We can plug in the point and the slope
y-(5)=(2)(x-(-4))
Remove parenthesis and simplify to:
y-5=2(x+4)
A square has sides that measure 6 inches each. What is the ratio of the perimeter of the square to the area of the square?
Answers
Answer:
2 : 3
Step-by-step explanation:
Given the square has a side of 6 in , then
perimeter = 4 × 6 = 24 in
area = 6² = 36 in²
Then ratio of perimeter : area
= 24 : 36 ( divide both parts by 12 )
= 2 : 3
PLEASE HURRY AND HELP NOW !! PLEASE
Answers
Answer:
1. B
2. A
Step-by-step explanation:
I've done this before, very easy.
On the last school spirit day, 5 out of every 7 students wore school colors. Based on this information, if 560 students attend the school, write a proportion to determine how many of these students will wear school colors on the next spirit day.
Answers
Answer:400
Step-by-step explanation:
Multiply the total number of students by the ratio given
5/7(560)
1
X + 5 = -10
(a)
How do I isolate x?
A Add by 5 on both sides
B Subtract by 5 on both sides
Multiply by 5 on both sides
D Divide by 5 on both sides
(b)
X=
Answers
Answer:
Subtract by 5 on both sides.
Step-by-step explanation:
x+5 = -10. if you subtract both sides by 5, you will get x+5-5=-10-5, which can be simplified to x=-15.
Find the theoretical probability.
Simplify completely.
Answers
Answer:
[tex] \frac{1}{8} [/tex]
Answer:
The correct answer is 1/4!
Step-by-step explanation:
On Acellus
Have a great day!
Given the function f(x)=5x−6 find f(4).
Answers
Answer:
f(4)=14
Step-by-step explanation:
f(x)=5x-6
f(4)=5(4)-6
f(4)=20-6
f(4)=14
Answer:
f(4) = 14
Step-by-step explanation:
f(x) = 5x -6
f(4) = 5(4) - 6
f(4) = 20 - 6
f(4) = 14
What is the value of x in the figure?
400
709
A.
40°
B.
70°
C.
80°
D.
120°
E.
150°
Answers
Answer:
e
Step-by-step explanation:
Miguel drives 295 miles in 5 hours. How many miles does Miguel drive in 7 hours? *
Answers
Answer:
Step-by-step explanation:
If he drives 295 miles in 5 hours that equals to 59 miles in an hour.
So 7 hours at 59 miles per hour is 413 miles.
14V + 6 = 2(5 + 7V) - 4
Answers
Answer:
0=0
Step-by-step explanation:
The input is an identity: it is true for all values
Tell me if you need an explanation :)
Answer:
V = Any Real Number
Step-by-step explanation:
14V + 6 = 10 + 14V - 4
14V = 14V
Could be any number
Evaluate the expression 2x-5 when x=3
Answers
Answer:
1
Step-by-step explanation:
as x=3
we substitute x with 3
so 2(3)-5
and 2(3) Is 6
so we do 6-5 which is 1
Answer: The answer is 1
Step-by-step explanation: