Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help
Answers
Answer/Step-by-step explanation:
AC = 1.2
AB = 4
BC = 2.6
DF = 3
DE = 10
EF = 6.5
Thus:
[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]
[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]
[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]
The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.
Related Questions
Lily needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 4.5 hours and charged her $193 for parts.
The total was $530.50. What was the cost of labor, per hour?
Answers
The cost per hour for the labor will be $75
Total amount charged = $530.50
Amount charged for parts = $193
Number of hours used = 4.5 hours
Let the amount charged per hour = x
Therefore, the equation to solve the question will be:
193 + 4.5(x) = 530.50
193 + 4.5x = 530.30
Collect like terms
4.5x = 530.50 - 193
4.5x = 337.50
Divide both side by 4.5
4.5x/4.5 = 337.50/4.5
x = 75.
The cost of labor per hour is $75
Read related link on:
https://brainly.com/question/24666579
An equation is shown below:
8(2x − 14) + 13 = 4x − 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Explain the parts please and i will give brainliest the best best explained one.
Answers
Answer:
x = 6
Step-by-step explanation:
8(2x − 14) + 13 = 4x − 27
solve everything in parentheses
16x - 112 + 13 = 4x - 27
subtract 4x from each side of the equation
16x - 4x - 112 + 13 = 4x - 27 - 4x
reduce
12x - 112 + 13 = -27
combine those known numbers
12x - 99 = -27
add 99 tooth sides of the equation
12x - 99 + 99 = -27 + 99
reduce
12x = 72
divide both sides by 12
12x / 12 = 72 / 12
reduce
x = 6
10 points eBookReferencesCheck my workCheck My Work button is now enabled1Item 9 Consider the following observations of a series: Year 1 Year 2 Year 3 Year 4 100 120 160 170 a. Calculate the growth rates for Year 1–Year 2, Year 2–Year 3, and Year 3–Year 4. (Round your answers to 4 decimal places.) b. Calculate the average growth rate. (Enter your answer as a percentage, rounded to 2 decimal places, using intermediate calculations rounded to at least 4 decimal places.)
Answers
Answer:
[tex]Growth\ Rate = 0.2000[/tex] --- Year 1 to 2
[tex]Growth\ Rate = 0.3333[/tex] --- Year 2 to 3
[tex]Growth\ Rate = 0.0625[/tex] --- Year 3 to 4
[tex]Average\ Growth\ Rate = 19.86\%[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Year\ 1} & {100} & {Year\ 2} & {120} & {Year\ 3} & {160} & {Year\ 4} & {170} \ \end{array}[/tex]
Solving (a): Growth Rates between each year
For Year 1 to 2.
[tex]Growth\ Rate = \frac{Year\ 2 - Year\ 1}{Year\ 1}[/tex]
[tex]Growth\ Rate = \frac{120-100}{100}[/tex]
[tex]Growth\ Rate = \frac{20}{100}[/tex]
[tex]Growth\ Rate = 0.2000[/tex]
For Year 2 to 3.
[tex]Growth\ Rate = \frac{Year\ 3 - Year\ 2}{Year\ 2}[/tex]
[tex]Growth\ Rate = \frac{160-120}{120}[/tex]
[tex]Growth\ Rate = \frac{40}{120}[/tex]
[tex]Growth\ Rate = 0.3333[/tex]
For Year 3 to 4.
[tex]Growth\ Rate = \frac{Year\ 4 - Year\ 3}{Year\ 3}[/tex]
[tex]Growth\ Rate = \frac{170-160}{160}[/tex]
[tex]Growth\ Rate = \frac{10}{160}[/tex]
[tex]Growth\ Rate = 0.0625[/tex]
Solving (b): The average growth rate
This is calculated as by calculating the mean value of the growth rates in (a)
[tex]Average\ Growth\ Rate = \frac{1}{3}(0.2000 + 0.3333 + 0.0625)[/tex]
[tex]Average\ Growth\ Rate = \frac{1}{3}(0.5958)[/tex]
[tex]Average\ Growth\ Rate = \frac{1}{3}*0.5958[/tex]
[tex]Average\ Growth\ Rate = 0.1986[/tex]
Convert to percentage
[tex]Average\ Growth\ Rate = 0.1986 * 100\%[/tex]
[tex]Average\ Growth\ Rate = 19.86\%[/tex]
Is (2, 5) a solution to this system of equations? y = x + 3 y = 7x + 6
Answers
Answer:
No is not the solution to that system
Step-by-step explanation:
please help me with this please
Answers
Answer:
4 feet
Step-by-step explanation:
Let x be the height of the tower when finished.
We have been given that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 of the height of the tower she wants to build.
This means that 5/8 of x equals 2 and 1/2. Let us represent this information in an equation.
5/8*x=2 and 1/2
Let us convert our given mixed fraction into an improper fraction.
5/8*x=5/2
Let us multiply both sides of our equation by 8/5.
8/5*5/8*x=5/2*8/5
x=8/2
x=4
1. If f(x) = 5x4 tan-1x, find f '(x). ( 4 points)
Answers
Answer:
what are the answer choices
Step-by-step explanation:
1. Write an equation of a function with each domain:
a. [2,)
b. (-0, 0)
C. (2, 0 )
Answers
answer each question with work and reasoning
Answers
Answer:
30
Step-by-step explanation:
2 + 3 = 6
6 x 10 = 30
30 snowmen
What is Steve's mean speed if he bikes 55.5 miles in 3.7 hours? Round your answer to two decimal places, if necessary.
Answers
Answer:
15m/s
Step-by-step explanation:
Given data
DIstance= 55.5 miles
time= 3.7 hours
Required
the speed
We know that
Speed= distance/time
Substitute
Speed= 55.5/3.7
Speed= 15 m/s
Hence the speed is 15m/s
Help plz:)))I’ll mark u Brainliest
Answers
9514 1404 393
Answer:
x = 18
Step-by-step explanation:
The parallel lines cut the transversals proportionally.
(2x -1)/40 = 21/24
2x -1 = 35 . . . . . . . multiply by 40
2x = 36 . . . . . . . . add 1
x = 18 . . . . . . . . . divide by 2
The graphs show the amounts in two different bank accounts over several months.
Explain whether Account A shows a proportional relationship between months and the amount in the account.
Explain whether Account B shows a proportional relationship between months and the amount in the account.
Analyze the graph that shows a proportional relationship. Explain the meaning of the points (x,y) and (1,r) where r is the unit rate.
Answers
Answer:
where are the graphs?
Step-by-step explanation:
Jeremy's pizza was cut into 6 equal slices and he ate 4 pieces. Zachary's pizza was cut into 12 equal slices. How many pieces does Zachary need to eat so that he and Jeremy have eaten an equal amount? prove it with a picture
Answers
Answer:
8 pieces
Step-by-step explanation:
4/6 x 2 = 8/12
If Zachary wanted to eat the same amount. He would eat 8 pieces.
Zachary will have to eat 8 peices of pizza
Step-by-step explanation:
If you take Jeremys pizza and separate the 4 pieces he were to eat and the two he didn't and cut all of them in half then you would see there are 12 peices in all and that would make the 4 he were to eat 8 slices instead of just 4
What is 9 divided by 5x8?
Answers
Answer:
The answer is [tex]\frac{9}{40}[/tex] or 0.225
Answer:
well 5X8= 40 and 9 divided by 40= 4.4444444444444444444444444444444
Step-by-step explanation:
Hope that this has helped you out! :)
Find the value of 2425÷45. Show your reasoning. fractions
Answers
Answer:
Step-by-step explanation:
53.8
Hope this helps you
Need help with this question!
(25 points)
Answers
A farmer planted corn in a square field. One side of the field measures 33 yards. What is the area of the cornfield?
Answers
Answer:
the answer is 1,089 since 33x33=1,089.
Step-by-step explanation:
A= x^2 x being the length of one of the sides, since all sides are the same.
Estimate the unit rate to the nearest whole number.
74.75
Answers
Answer:
umm.... 75? id say that sooo yea
Answer:
The answer is $75.00
Step-by-step explanation:
0.75 is above fifty, so you round up. Which gets you to 75
The account title are:
No journal entry required, cash, accounts receivable, office supplies, prepaid rent, prepaid insurance, office equipment, accumulated depreciation - office equipment, accounts payable, notes payable, unearned revenue, common stock, dividends, services revenue, utilities expense.
Please help me
Answers
Answer:
Cash 107000
Office equipment 30500
Common stock 137500
Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?
Answers
Answer:
Step-by-step explanation:
1.40x = 180.49
x= $128.92
anyone watch anime... im trying to give out some points :)
Answers
Answer:
I do not...
Step-by-step explanation:
but I want to...
Answer:
I have never watched anime like whats it for lol
Alana has 1/4 pound of shredded cheese. She uses an equal amount of cheese in each of 4 pizzas. What fraction of a pound of cheese did Alana use on each pizza?
Answers
Answer:
1/16
Step-by-step explanation:
To find the answer, you would have to divided 1/4 by 4, which is 1/16.
Hope this helps! :)
Determine which of the given procedures describe a binomial distribution. Select one: A. Record the number of ear piercings in a group of 30 randomly selected college students. B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18. C. Surveying customers leaving a hardware store until a customer responds that he or she spent more than fifty dollars.
Answers
Answer:
B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Option A:
No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.
Option B:
Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.
Option C:
No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.
What is the correct answer?
Answers
I believe the answer is 6, because you can add 6 + 6 to get 13, and I can see that 12 is in the decimal place, along with 30, 3 can be added twice to get 6, and since 30 has 3 in it, and can be added to 6 with 3's, that makes the answer 6.
guys I really need help plsss
Answers
Answer:
x = 3
Step-by-step explanation:
Multiply the first equation by -1, then add it to second equation.
2x+9y = -12
-2x-7y = 8
-------------------
2y = -4
Solve for y
2y = -4
y = -2
Plug value of y into one of the equations and solve for x
2x + 9(-2) = -12
2x = 6
x = 3
i literally have no clue how to do this can someone help
Answers
Peace and love
Peace
HELPP MEE
Write an equation to express y in terms of x.
Answers
Answer:
y = -¼x
Step-by-step explanation:
If you plot the points (32,-8), (24,-6), and (16,-4), you'll see that they are collinear.
What is 6 to 8 and 18 to X
Answers
Answer:
The answer is 24
Step-by-step explanation:
STEP 1:
[tex]6x = 18 \times 8[/tex]
18 * 8 = 144
So, 6x=144
STEP 2:
Divide both sides by 6:
[tex] \frac{6x}{6} = \frac{144}{6} [/tex]
Then, you get 24
So, your answer is 24.
A blogger has 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answers
Answer:
Since a blogger has 400 subscribers to her blog in January, and the number of subscribers has grown by a factor of 1.5 every month since the, to write a sequence to represent the number of subscribers in the 3 months that followed, the following reasoning has to be made:
January: 400 subscribers
February: 400 x 1.5 = 600 subscribers
March: 600 x 1.5 = 900 subscribers
April: 900 x 1.5 = 1,350 subscribers
The sequence to represent the number of subscribers in the 3 months that followed are :
First month = 600 subscribers
Second month = 900 subscribers
Third month = 1350 subscribers
The blogger has 400 subscriber to her blog in January.
The number of subscriber has grown by a factor of 1.5 every month since then.
Therefore, the sequence to represent the number of subscribers in the 3 months that followed can be calculated below
January Subscribers = 400
February Subscribers = 1.5 × 400 = 600
March Subscribers = 1.5 × 600 = 900
April subscribers = 1.5 × 900 = 1350
learn more on sequence here:https://brainly.com/question/21324508?referrer=searchResults
Find the new amount given the original amount and the percent of change.
340 pages; 50% decrease *
Answers
Answer: 160
Step-by-step explanation:
(1+2) +3 = 1 + (2 + 3)
What property is that equation
Answers
Answer:
associative property, which is the mathematical property that states that you can change the grouping in an addition or multiplication equation and the answer will not be affected.