Triangle DEF is similar to triangle ABC. What is the length of segment EF? (HINT use scale factor) (Leave answer as a fraction)
Answers
We have been given two similar triangles. We are asked to find the length of segment EF.
We know that corresponding sides of similar triangles are proportional, so we will use proportion to solve our given problem.
[tex]\frac{EF}{DF}=\frac{BC}{AC}[/tex]
Upon substituting measure of our given side lengths, we will get:
[tex]\frac{EF}{1}=\frac{5}{13}[/tex]
[tex]EF=\frac{5}{13}[/tex]
Therefore, the length of segment EF is [tex]\frac{5}{13}[/tex] units.
Related Questions
The sum of two positive integers is 12. When the smaller integer is subtracted from five times the larger, the result is 36. Find the two integers.
Answers
Answer:
The smaller integer is 4 and larger integer is 8 .
Step-by-step explanation:
First we have to form own variables and expression. So we let the smaller integer be x and the larger integer be y. Next using the information given to form expressions :
[tex]x + y = 12 \\ 5y - x = 36[/tex]
Lastly, we can solve the simultaneous equation using Elimination :
[tex]x + y = 12 - - - (1)[/tex]
[tex] - x + 5y = 36 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]x + ( - x) + y + 5y = 12 + 36[/tex]
[tex]6y = 48[/tex]
[tex]y = 8[/tex]
[tex]sub \: y = 8 \: into \: (1)[/tex]
[tex]x + 8 = 12[/tex]
[tex]x = 4[/tex]
Jayla has been doing sit-ups to get in shape. She created a stem and leaf chart that displays the number of sit-ups she has already done (51, 51, 54 60, 62, 65, 80, 81, 88). Jayla's teacher said that she had made one mistake in her stem and leaf plot. What mistake did Jayla make?REAL ANSWERS ONLY
Answers
Answer:
hi how are you Ken foing tour homework
Help
Will mark as brainliest
Answers
Step-by-step explanation:
multiply it
power in multiplication added
4x⁵z⁸
Answer:
4x^3z^2. you bring out the number then factor out the algebra then multiply the remaining algebra with the number
The box plots show the average gas mileage of cars and minivans tested by a certain company.
2 box plots. The number line goes from 14 to 34. For cars, the whiskers range from 21 to 33, and the box ranges from 22 to 29. A line divides the box at 24. For minivans, the whiskers range from 14 to 26, and the box ranges from 18 to 21. A line divides the box at 19.
Which is closest to the difference in the medians of the two sets of data?
4
5
7
8
Answers
Answer:
the answer is 5
Step-by-step explanation:
Answer:
the answer to your question is 5 or b because
i did it on edge2020 and got it right
Step-by-step explanation:
n – 3n = 14 – 4n please help I need the work not the answer, answer is 7
Answers
Answer:
7
Step-by-step explanation:
[tex]n-3n=14-4n\\\\-2n=14-4n\\ \\2n=14\\n=7[/tex]
Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram
to determine the measurement of <EAF.
Solution:
Answers
Answer:
x and EAF are 27 degrees
Step-by-step explanation:
Since GAF is a right angle as indicated by the little square, GAC and CAF must add up to 90 degrees. Therefore, x is 90-63=27 degrees. The situation is the same for angle EAF. Hope this helps!
What is the volume of the prism below?
A. 85 units3
B. 75 units 3
C. 150 units
D. 154 units
Answers
First you find the area of the triangle:
(base x height)/2
(3 x 5)/2
15/2
7.5
Then you multiply by the length of the prism (10):
7.5 x 10 = 75
Answer:
B. 75 units3
Step-by-step explanation:
it is right
A new car sells for $27,500. The value of the car decreases by 14% annually. You want to sell the car when it's worth about $4000. Explain how many years you will keep the car, when you will sell it, and how you determined your answer.
Answers
Answer:
The formula would be:
27500 x (1 - 14/100)^year = 4000
=> (86/100)^year = 4000/27500
=> 0.86^year = 0.145
=> year = log(0.145)/log(0.86) = 12.8
Hope this helps!
:)
Answer:
13 years
Step-by-step explanation:
4000 = 27500 × (1 - 14/100)^t
4000 = 27500 × 0.86^t
0.86^t = 8/55
t ln(0.86) = ln(8/55)
t = 12.78248711
"Suppose that 5% of bags contain forbidden items."
Forbidden
0.05
Not forbidden
What is the probability that a randomly chosen bag does NOT contain a
forbidden item?
P(not forbidden) =
Answers
Answer:
.95 is the correct answer. See screenshot below
Step-by-step explanation:
The probability that a randomly chosen bag does NOT contain a forbidden item is 0.95
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, 5% of bags contain forbidden items.
We know that, the probability of an event not happening is 1 minus the probability of the event happening,
Therefore, the probability that a randomly chosen bag does NOT contain a forbidden item = 1-0.05 = 0.95
Hence, the probability that a randomly chosen bag does NOT contain a forbidden item is 0.95
Learn more about probability, click;
https://brainly.com/question/30034780
#SPJ2
Classify the real number.
√441
rational number
rational number, whole number, and
integer
rational number and integer
irrational number
Answers
Answer:
rational number, whole number, and integer
Step-by-step explanation:
√441 = 21
21 is an integer, a whole number, and a rational number.
Help me I’ll mark you as brainlist
Answers
Answer:
Step-by-step explanation:
Is 4:3 equivalent to 16: 12? How do you know?
Answers
Answer: Yes
Step-by-step explanation: They are equivalent because 4x4=16 and 4x3=12 .
Without drawing the graph of the function y=1.2x−7, see if the graph passes through points: ( 300; 353)
Answers
Answer:
( 300; 353) is on the line y=1.2x−7
Step-by-step explanation:
y=1.2x−7
Substitute the point into the equation and see if it is true
353=1.2(300)−7
353 =360-7
353 = 353
This point is on the line
Answer:
yes
Step-by-step explanation:
ASAP!! I JUST NEED THE ANSWER!!! I WILL MARK YOU BRAINLIEST!!!
Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left.
a) How much did the Hamburger weigh originally, if after the second bite there was 160g of it left?
Answers
Answer:
250g
Step-by-step explanation:
To calculate the original weight, you just have to find how much was left of the hamburger after the second bite.
Say that the hamburger is x grams.
0.64x = 160
x = 250
I feel sorta bad but, I got pretty much the same answer...
Answer:
250g
Step-by-step explanation:
To calculate the original weight, you have to find how much was left of the hamburger after the second bite.
Say that the hamburger is x grams.
0.64x = 160
x = 250
Carli has 4 1/2 walls left to paint in order for all the bedrooms in her house to have the same color paint.
However, she has used almost all of her paint and only has 5/6 of a gallon left.
How much paint can she use on each wall in order to have enough to paint the remaining walls?
Answers
Step by step:
4 1/2= 9/2
5/6 divided by 9/2= 5/27
But I’m not positive.
Numbers made up of three digits are formed using the digits 1, 2, and 3
with no repeating digits.
a) List all possible outcomes.
b) Find the probability of randomly forming an even number.
c) Find the probability of randomly forming a prime number.
Answers
Answer:
List all of the outcomes first than do what you need to do
Step-by-step explanation:
dog went to the park and had fun
Which of the following equation(s) show exponential growth? Select all that apply.
y=3^x
y=5x+2
y=x^4+1
y=2^3+x
Answers
Answer:
y=5x+2 and y2^3+x
Step-by-step explanation:
those 2 show exponential growth
help asap thank youu
Answers
Answer:
B
Step-by-step explanation:
A linear function is represented by a straight line graph.
The graph here is curved, thus does not represent a linear function.
Which table of ordered pairs represents a propositional relationship ?
Answers
If your car gets 22 miles per gallon, how much does it cost to drive 360 miles when gasoline costs $2.80 per gallon?
Answers
22\360=?•2.80
22/360=16.3
2.80 • 16.3 = 45.6$
So it would cost 45.6$ to drive 360 miles
Answer:
45.6
Step-by-step explanation:
the way you find this would be
22/360 = 16.32.80 x 16.3 = 45.64But to get 45.6 you would have to round this answer to the nearest tenth 45.64 rounded to the nearest tenth would be 45.6Therefore your answer would be $45.6 per gallonA cylinder has a radius of 14 m and a height of 6 m. What is the exact volume of the cylinder? 84π m³ 168π m³ 504π m³ 1176π m³
Answers
Answer:
1176π m³
Step-by-step explanation:
The formula for the volume of a cylinder is:
V = πr²h
Let's substitute the values given into this equation:
V = πr²h
V = (π)(14²)(6)
Solve:
V = (π)(14²)(6)
V = (π)(196)(6)
V = 1,176π
Therefore, the volume of the cylinder is 1176π cubic meters.
Answer:
1176
Step-by-step explanation:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?
Formula: V=πr2h
We are looking for the volume of the cylinder. We know that the Radius is 14 and the height is 6.
So we need to
1: Radius * 14 * 6
2: Radius * 196* 6
Answer: 1176
Hope this helps.
need help fast will give brainliest!!!
Answers
Answer: B
Step-by-step explanation:
One game costs $4.50
Answer:
it is B
Step-by-step explanation:
YALLL I NEED HELP !!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
2nd one
Step-by-step explanation:
it was 0⁰F at 6 pm to -4⁰F at 11pm to you go to the left 4 times from 0⁰F and between 11pm and 5am the temperature dropped by 6 degrees so you go the the right 6 times from -4 which is 2⁰F so the 2nd one represents the temperature at 5am Hope it helped
Can someone please help me out I am so confused
Answers
Answer:
If the bottom is not counted, then the answer is 140m2.
If the bottom is counted, then the answer is 240m2
Step-by-step explanation:
Please see the step-by-step solution in the picture attached below.
Hope this answer can help you. Have a nice day!
What is the product of 3.2 and –6?
A. –19.2
B. –9.2
C. –2.8
D. 19.2
Answers
Answer:A
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
done it on edge byee :)
An item is priced at $13.42. If the sales tax is 4%, what does the item cost including sales tax? If necessary, round to the nearest cent
Answers
Answer:
Total cost = $13.96
Step-by-step explanation:
The total to be paid for the item is the addition of its price plus the taxes. That is:
[tex]Total\,\,cost=13.42+0.04\,*\,13.42\\Total\,\,cost=13.42+0.5368\\Total\,\,cost==13.9568[/tex]
Which can be rounded to $13.96
Izumi's goal is to run 4 minute mile. If he maintained the same speed for the first quarter mile, how fast, in miles per hour, we have to run the final three quarters of a mile to achieve his goal?
Answers
Answer:
15 mph
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Solve this system of linear equations. Separate
the x- and y-values with a comma.
-5x + 3y = 13
7x + 2y = -12
Answers
Answer:
x = -2, y = 1
Step-by-step explanation:
So you can solve this equation using subtraction.
Multiply the first equation by 2:
-10x + 6y = 26
Multiply the second equation by 3:
21x + 6y = -36
Subtract the two equations:
-31x = 62
x = -2
y = 1
A shirt is on sale for 30% off. The expression p minus 0.30 p, where p is the original cost of the shirt, can be used to find the sale price. Which expression means the same as decreased by 30%?
A 0.30 p
B.0.70 p
C.1.30 p
D.30 p
Answers
Answer:
The price times 0.30 is how much it is now so its should be A
Step-by-step explanation:
14. Which set of data is qualitative?
1) number of laps in a race
2) number of swimmers on the team
3) swimmers' favorite swimsuit colors
4) temperature in Fahrenheit of the water in a pool
Answers
Answer:
3
Step-by-step explanation:
Quality is something that doesn't really come in numbers when described.