16 in12 inOriginal3 in20 in5 inHow do the perimeters of the similarshapes above compare?

Answers

Answer 1

The original has dimensions 16 in, 12 in and 20 in.

The image has dimensions 3 in, 4 in and 5 in.

We need to find the perimeter of both triangles and then compare them.

The perimeter of a triangle is given as:

P = a + b + c

where a, b, c are the three sides of the triangle

Therefore, the perimeter of the original is:

P = 16 + 12 + 20 = 48 in

The perimeter of the image is:

p = 3 + 4 + 5 = 12 in

By comparing these two perimeters, we can see that the perimeter of the original is 4 times that of the image.

So the image's perimeter is 1/4 that of the original. (Option B)


Related Questions

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!

URGENT!! ILL GIVEBRAINLIEST!!!! AND 100POINTS!!!

Answers

Step-by-step explanation:

Blank 1 area

blank 2 opposite

blank 3 inverse

blank 4 4

Your friend Phil, asks you what you think about a new scratch-off lottery game. It costs $10 to play this game, There are two outcomes for the game (win, lose) and the probability that a player wins a game is 60%. A win results in $15, for a net win of $5 ($15 minus the $10 paid to play). The probability distribution for xx (the amount of money a player wins or loses) in a single game is as follows:_______.
1-Net Money Won or Lost Px) - Probability Win + $ $ 5 0.60 Lose - $ 10 0.40 Using the information in the table, complete the following 1. Interpret the table. There is a 60% • chance of winning $5 and a 40% • chance of losing $10 • 2. What is the expected value of x? E(X) = -1 3. What is the standard deviation? o = 7.35 (Round to then nearest hundredth). This question is based on the information from the previous question. 1. If Phil plays the game 1 time, how likely is he to win money? There is a _ % chance that Phil will win if he plays 1 time. 2. Phil thinks if he plays the game many, many times, he is likely to make money because the percent of winning sounds good to him. Is he right? Why or why not? A B I I % $ 3 = UX2 x S # - © © E = C A # * <> X 1. 1 Point: If Phil plays the game 1 time, how likely is he to win money? There is a % chance that Phil will win if he plays 1 time. 2.2 Points: Phil thinks if he plays the game many, many times, he is likely to make money money because the percent of winning sounds good to him. Is he right?

Answers

Answer: I am going to put a link

maybe its going to help you?

Step-by-step explanation:

http://s3.amazonaws.com/illustrativemathematics/illustration_pdfs/000/001/217/original/illustrative_mathematics_1217.pdf?1390751150

What is probability?

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

The probability distribution for X = the amount of money a player wins (or loses) in a single game is as follows:

X Probability of X+$5 0.60-$10 0.40E(X)

= 5 × 0.60 + (−10) × 0.40

= 3 − 4 = −1

This means there is an average loss of $1 per game in the long run.

The message should tell Phil not to go forward with his plan of playing the game many, many times as the plan will not make money for him in the long run as he had hoped. The message should communicate in non-technical terms that a player will lose a dollar per game on average in the long run, and thus there is no long term gain to be made from playing the game many, many times.

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pls help ASAP!! person with correct answer will be marked brainliest

pls help ASAP!! person with correct answer will be marked brainliest

Answers

Answer:

41.8°

Step-by-step explanation:

Opposite angles are equal.

Answer:

41.8 degrees

Step-by-step explanation:

They are vertical angles, meaning they are the same, just opposite one another.

find the value of x and the measure of angle axc

find the value of x and the measure of angle axc

Answers

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

Evaluate the variable expression when a = -2, b = 5, C = -5, and d = 3.
-4b + 1 (ac + bd)
5
5

Answers

Answer:

-4(5)+1(-2*-5+5*3)

Step-by-step explanation:

-20+1(10+15)

-19(25)

-475

Answer:

5

Step-by-step explanation:

Given :- a = -2 , b = 5 , c = -5 & d = 3

Solution :-

- 4 b + 1 ( ac + bd )- 4 ( 5 ) + 1 ( (-2)(-5) + (5)(3))-20 + -2 × -5 + 3 × 5-20 + 10 + 15- 20 + 255

what is the range of the function graphed below​

what is the range of the function graphed below

Answers

Answer:

-3 < y ≤ 3

Step-by-step explanation:

...............

the correct answer is b!

The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?

a. bus

b. car

c. subway

d. train

The figure shows four box-and-whisker plots. These represent variation in travel time for four different

Answers

The answer is b hope this helps

Answer: C

Step-by-step explanation:

For box and whiskers plot the box is where the majority of the data is.  the whiskers(the lines on both sides will tell you where the range of numbers lie)

The middle line in the box is the median number.

The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)

You want the majority of the data to be less than 30, which is subway.  C

Spencer bought 8 souvenirs during 2 days of vacation. How many days will Spencer have to spend on vacation before he will have bought a total of 12 souvenirs? Assume the relationship is directly proportional

Answers

Answer:

3 days

Step-by-step explanation:

hope u understand

Spencer bought 8 souvenirs during 2 days of vacation. How many days will Spencer have to spend on vacation

Solve for f: 6f + 9g = 3g + f

Answers

Answer:

=−6/5g

Step-by-step explanation:

Step 1: Add -f to both sides.

Step 2: Add -9g to both sides.

Step 3: Divide both sides by 5.

Answer

-6/5g

On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.

Answers

The graph of the linear inequality is given by the image presented at the end of the answer.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

m is the slope.b is the intercept.

The function for this problem is given as follows:

y = -3x/4 + 2.

Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.

The inequality is given as follows:

y < -3x/4 + 2.

Meaning that points below the dashed line are the solution to the inequality.

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On a piece of paper, graph y&lt;-3/4x+2. Then determine which answer choicematches the graph you drew.

Given D(7,2), E(1, 9), F(4,8), and G(x, 1). Find a such that DE || FG.

Answers

The value of x with the given condition is 10

How to determine the value of x

From the question, we have the following parameters that can be used in our computation:

D(7,2), E(1, 9), F(4,8), and G(x, 1),

Also, we have

DE || FG

This means that the lines DE and FG are parallel lines and they have equal slope

The slope is then calculated as

slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)

Evaluate the difference

-7/6 = -7/(x - 4)

So. we have

x - 4 = 6

Evaluate

x = 10

Hence. the value of x is 10

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Find the slope of the line through the given points.
(8,48) and (16, 24)

Answers

Answer:

-3

Step-by-step explanation:

48-24 = 24

8-16 = -8

24/-8 = -3

There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

40%

6/15 is 0.4. Multiplied by 100, that makes 40%.

11) Calculate the single discount equivalent for chain discounts 45%, 24%, 10%.
A) 37.62%
B) 41.67%
C) 58.33%
D) 62.38%

I already know it’s D I just need an explanation because I have to know this for competition on thursday please help

Answers

62.38% is the necessary discount. Basic discount calculations include multiplying the original price by the given percentage rate in decimal notation.

What is the percentage of discount ?

Suppose MP is 100. later Net SP

\($=(100-10) \%$\) of \($(100-24) \%$\) of \($(100-45) \%$\) of \(100 $=90 \%$\) of \($76\%$\) of \($55\%$\) of 100

\($$=\left(\frac{90}{100} \times \frac{76}{100} \times \frac{55}{100} \times 100\right)=37.62$$\)

Required discount \(=(100-68.40) \%=31.6 \%$\)\(=(100-37.62) \%=62.38 \%$\)

The simplest method for figuring out a discount is to multiply the original cost by the percentage rate in decimal notation. Any item's selling price is determined by deducting the discount from the purchase price.

An enormous, red percentage symbol with a black outline. If you multiply two percentages that are fractions of 100 or decimals, you can find the percentage of another percentage. Calculating, for instance, 50% of 40% results in (50/100) x (40/100) = 0.50 x 0.40 = 0.20 = 20/100 = 20%.

Therefore the correct answer is option D ) 62.38%

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Question #3
Given the following stemplot, determine the maximum value of the original data set.
O 100
8
98
9
0000
Test Scores
5
479
6 146779
7 002557799
8 12223455789
9 000333368

Answers

The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

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How many solutions does this system of equations have y = -1/3x + 7. y = -2x^3 + 5x^2 + x - 2

Answers

The system of equations has one solution.

How many solutions does this system has?

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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How many solutions does this system of equations have y = -1/3x + 7. y = -2x^3 + 5x^2 + x - 2

g(n) = f(n)
f(n) = 2n² + 6
g(2) = ?

Answers

♪Answer : g(n) = f(n)

»f(n) = 2n² + 6

so, g(n) = 2n² + 6

»g(2) = 2(2)² + 6

»g(2) = 2(4) + 6

»g(2) = 8 + 6

»g(2) = 14

f(2)=2(2)^2+6=2(4)+6=8+6=14

As

\(\\ \rm\Rrightarrow g(n)=f(n)\)

\(\\ \rm\Rrightarrow g(2)=f(2)=14\)

Calculate the mass (in grams)and volume of a metal bar 16.8cm long 4.6cm wide and 2.8cm height given that it's density is 8.5g/cm%s square cube

Answers

Answer:

ttgshffs is the first thing that I want you to you sis and you can tell you what you can tell you what is going to be done in your life and I hope that your time ⌚ will not a better world of us for your birthday Babu we will win the temple Changu and I hope that

Which angle measures 40 i-Ready

Which angle measures 40 i-Ready

Answers

Answer:

<YTZ

Step-by-step explanation:

Vertical angles are congruent.

<VTW measures 40°.

<YTZ is vertical to angle VTW.

m<YTZ = m<VTW

m<YTZ = 40°

Answer: <YTZ

Select the correct answer from each drop-down menu.


The area of the shaded square is
square inches. The length of the unshaded rectangle is
inches.
The estimated value of the length of the shaded square is
inches. The estimated value of the area of the unshaded rectangle is
square inches.

Answers

The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

What is the area of a square?

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Select the correct answer from each drop-down menu.The area of the shaded square is square inches. The

Triangle TUV is dilated by a scale factor of 2.5

Triangle TUV is dilated by a scale factor of 2.5

Answers

The coordinates of V' include the following: V' (-5, -10).

What is a dilation?

In Geometry, a dilation is a type of transformation which typically changes the side lengths of a geometric object, but not its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would increase or decrease depending on the scale factor applied.

In this scenario an exercise, we would dilate the coordinates of V at (-2, -4) by applying a scale factor of 2.5 that is centered at the origin as follows:

V (-2, -4) → V' (-2 × 2.5, -4 × 2.5) = V' (-5, -10).

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Warning
There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exan
Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?

Answers

The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.

What is data?

Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.

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Calculate the equivalent ratio 1.25 : 3.75 : 7.5

Answers

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.


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There are 3 Parts. Make sure to answer all 3 Parts. Read the problem and write your
answer for each part. Make sure to label each part: Part A, Part B, and Part C.
Jamie is tracking the growth of a specific bacteria for a science experiment. She
assumes that there are bacteria (B) in a Petri dish at 12:00 midnight. Jamie observes
that the number of bacteria increases by 25 every hour.
Part A. Write an equation that describes the relationship between total number of
bacteria (7) and time (h) in hours, assuming there are (B) bacteria in the Petri dish at h
Part B: If Jamie starts with bacteria in the Petri dish, how many bacteria will be
present after 6 hours?
Part C: If Jamie starts with 5 bacteria in the Petri dish, draw a graph that displays the
total number of bacteria with respect to time from 12:00 midnight (h
0) to
8:00 a.m. (h = 8). Label each axis and label points on your graph at times
h = 0, 1, 2, 3.

Answers

Answer:

The answer is below

Step-by-step explanation:

The equation of a linear function is given as:

y = mx + b;

where y, x are variables, m is the rate of change and b is the initial value of variable y.

A) Since there is B bacteria in the Petri dish at 12:00 midnight and the number of bacteria increases after midnight by 25 every hour. Let h represent the time in hours and T represent the total number of bacteria, therefore the equation is:

T = 25h + B

B) Given that B = 5, h = 6, hence:

T = 25(6) + 5 = 150 + 5 = 155 bacteria

C) The equation of the graph is:

T = 25h + 5

The graph was plotted using geogebra online graphing.

There are 3 Parts. Make sure to answer all 3 Parts. Read the problem and write youranswer for each part.

Find the perimeter of the triangle with vertices at A(0,0), B(-4,-3), and C(-9,0)simplify the answer using radicals as needed

Answers

In order to find the perimeter of the given figure, use the following formula to find the distance in between the given points:

\(d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}\)

where (x1,y1) and (x2,y2) are the coordinates of two points.

calculate the distance AB, BC, CA, which are the sides of the triangle:

\(\begin{gathered} AB=\sqrt[]{(-3-0)^2+(-4-0)^2}=\sqrt[]{9+16}=\sqrt[]{25}=5 \\ BC=\sqrt[]{(0-(-3))^2+(-9-(-4))^2}=\sqrt[]{9+25}=\sqrt[]{34} \\ CA=\sqrt[]{(0-0)^2+(0-(-9))^2}=\sqrt[]{81}=9 \end{gathered}\)

The perimeter of the triangle is:

P = AB + BC + CA = 5 + √34 + 9 = 14 + √34 ≈ 19.8

Will says that in the number 9.493, one 9 is 10 times as great as the other 9. Is he correct? Explain
why or why not

Answers

Answer:

No

Step-by-step explanation:

The first nine is 100 times greater than the other 9 because the first nine is in the ones place and the second 9 is in the hundredths place.

construct thruth table for each of the following Statement

Answers

Rhonda I just got home from

Why do we choose 5% as a risk of making error and not 1%

Answers

In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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Yoshi completed a table with the justifications for each step of solving the equation 1/2s =112 Does each of Yoshi’s justifications fit with the corresponding step?



A.
Yes, Yoshi's justifications fit.
B.
No; justification 2 should be “Multiplication property of equality.”
C.
No; justification 3 should be “Commutative property of multiplication.”
D.
No; justification 5 should be “Inverse property of multiplication.”

Answers

What Yoshi uses is the multiplication property of equality, so the correct option is B.

Yoshi’s justifications fit with the corresponding step?

The step that Yoshi did is:

(1/2)*s = 112

s = 112*(2/1) = 224.

What Yoshi does there is multiplicating both sides by the inverse of (1/2), so it is cancelled in the left side and the variable is isolated.

What he is using there is "Multiplication property of the equality".

Then that is what he should have written, the correct option is B.

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Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00

Answers

The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.

What is the mean?

The mean refers to the average value.

The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.

Name                      Total Sales      Total Expenses

Quezon City            14,950.00             4,933.50

Caloocan City         18,290.00             6,035.70

Marikina City          37,200.00           12,276.00

Cebu City                18,900.00            6,237.00

Davao City             45,000.00          14,850.00

Mandaluyong City 23,000.00           7,590.00

Cavite                     22,000.00          7,260.00

Laguna                    21,000.00          6,930.00

Manila                    66,000.00         21,780.00

Iloilo                       34,000.00          11,220.00

Total                                                  99,112.20

Mean Expenses = 9,911.22 (99,112.20 ÷ 10)

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