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.
\(\frac{EF}{DF}=\frac{BC}{AC}\)
Upon substituting measure of our given side lengths, we will get:
\(\frac{EF}{1}=\frac{5}{13}\)
\(EF=\frac{5}{13}\)
Therefore, the length of segment EF is \(\frac{5}{13}\) units.
Related Questions
Can someone help me?
Answers
Answer:
x=7
Step-by-step explanation:
35÷5=7 :)))
Answer:
X=7 or just divide the tape diagrams into 5 parts and put 7 into each of them.
Step-by-step explanation:
5x=35
÷5 ÷5
x=7
In 56 years, Kevin will be 9 times as old as he is now
How old is Kevin now?
Answers
Answer:
correct answer is 7 years
Step-by-step explanation:
A+56=9(A)
56+9A
A=7
he will be 7 years old he is pretty old
Answer:
Kevin is 7 years old right now.
Step-by-step explanation:
Let x be Kevin's age right now, that's what we're trying to find.
In 56 years, he'll be 9 times older than he is now, so we can say:
x + 56 = 9x
Now we can get the x values on the right side of the equation so that:
56 = 8x
Now solve for x and you have his current age which is 7.
For real I need a answer for this
Answers
Answer:
Im so sorry im not that great at math
Step-by-step explanation:
sorry
The chart below lists the original and sale prices of items at a clothing store.
Which statement best describes why the sale price is a function of the original price?
As the original price increases, the sale price also increases.
The sale price is always less than the original price.
For every original price, there is exactly one sale price.
The sales price is never less than zero.
Answers
Answer:
The statement that best describes why the sale price is a function is ¨ The sale price is always less than the original price.
Step-by-step explanation:
I am not 100% sure this is accurate, but I hope this helps.
Answer:
Which statement best describes why the sale price is a function of the original price?
Step-by-step explanation:
Because it is a discount it will be less then the original amount. It will never be zero because then that would be 100% off. It's less then the original price because it isn't a markup it is a markdown or discount. I hope this answered your question not for sure if i'm right but I may be.
Write the equation in standard form. 2/3x + 7 = 1/4y
Hint: Ax + By = C with no fractions
Answers
2/3(3)x + 7(3) = 1/4(3)y
2x + 21 =3/4y
Then you would multiply everything by 4
2(4)x + 21(4) = 3/4(4)y
8x + 84 = 3y
Then you would subtract 84 from both sides
8x + 84 - 84 = 3y - 84
Because of the positive and negative 84 cancel out so it’s 0. It would look like this
8x = 3y - 84
Then subtract 3y from both sides
8x - 3y = -84
That would be your final answer.
Please help my sister finish this
Answers
it would probably be 2 factors .
3.
A lake fishing map is laid out on a coordinate plane with each unit equal to 1 mile. The boat is launched from the point (−6, 0) and goes to point (−6, −6) to fish. From there, the boat travels to (0, 0) to fish and then goes back to the launch point.
Determine the total number of miles traveled. Round to the nearest whole number.
72 miles
20 miles
8 miles
6 miles
Answers
The total distance travelled in the journey is 20 mile.
What is distance?Distance is the total movement of an object without any regard to direction.
Given that, A lake fishing map is laid out on a coordinate plane with each unit equal to 1 mile. The boat is launched from the point (−6, 0) and goes to point (−6, −6) to fish. From there, the boat travels to (0, 0) to fish and then goes back to the launch point.
The total distance is divided into three parts, obtained as follows:
First part: From point (-6,0) to point (-6,-6).
Second part: From point (-6,-6) to point (0,0).
Third part: From point (0,0) back to the launch point of (-6,-6).
The generic notation of two points is given as follows:
(x1,x2), (y2.y1)
The distance between two points is then given by the equation presented as follows:
D = √(x2-x1)²+(y2-y1)²
Therefore, each distance in this problem is given as follows:
First part: 6 miles.
Second part: 8.48 miles.
Third part: 6 miles.
The total distance is the sum of each distance, hence it is given as follows:
6+8.48+6 = 20.48 ≈ 20
Hence, The total distance travelled in the journey is 20 mile.
Learned about the distance between two points;
brainly.com/question/7243416
#SPJ2
What is $400 at 3% for 5 years?
A. Find the interest earned
B. Find the balance of the account
Answers
Answer:
Step-by-step explanation:
A. 63.71
B. 463.71
The international space station has small cupboards that are used for storage. A cupboard is drawn below (redrew by me cause I'm using chrome book and computer)
1. What is a formula that can be used to find the area of one triangular section of the door?
2. How do you know the formula will work?
Answers
Answer:
\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)
Step-by-step explanation:
Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.
\(A = \frac{h_{b}+b}{2}\)
Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.
By using trigonometric relations we will see that the area is:
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
What is the x -intercept of the graph y = 2 x - 14?
Answers
Answer:
x=7
Step-by-step explanation:
make y = 0 to find x intercept
(x intercept is where the line touches the x axis, and y has to be 0 for that to happen)
y=2x-14
0=2x-14
14=2x
7=x
which equation could be represented by the number line
< I I I I I I * l l l l l * l l l l l l > arrow going left A. -6 + (-1)=-7 B. 1+ (-7) = -6 C. -7 + 6 = -1 D. -6 + 7 = 1
Answers
9514 1404 393Answer: A. 3+ (-4) = -1Step-by-step explanation:The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.
Factor the following expression using the GCF.
25st + 30t
5t(2s + 6)
5t(5s + 6)
5t(5 + 6t)
5t(s + 6)
Answers
5t×5s= 25st or 25ts
5t×6= 30t
PLZ HELP WILL MARK BRAINLIEST
USE ORDER OF OPERATIONS
Answers
Could anyone help me with this problem, Quickly Please...
Answers
Answer:
3/4
Step-by-step explanation:
Since (p, r) lies on the line y = x + b,
we have,
r = p + b -----eq(1)
Since (2p, 5r) lies on the line y = 2x + b,
we have,
5r = 2(2p) + b -----eq(2)
Sub the value of r from eq(1) in eq(2),
5(p + b) = 4p + b
⇒ 5p + 5b = 4p + b
⇒ 5b - b = 4p - 5p
⇒ 4b = -p
⇒ b = -p/4
sub in eq(1)
r = p + (-p/4)
= p - p/4
= 3p/4
⇒ r = 3p/4
⇒ r/p = 3/4
Answer:
3/4
Step-by-step explanation:
We have two lines:
r = p + b eq(1)
5r = 4p + b eq(2)
eq(2) - eq(1)
4r = 3p
dividing by 4p
r/p = 3/4
Lola buys 5 movie tickets. She has a coupon for $3 off each ticket. She pays $45 for the tickets. What is the regular price of a movie ticket?
Need it ASAP
Answers
Answer:
$12
Step-by-step explanation:
12 because first you need to divided 45 by 5 to get 9 which is the cost of each ticket with the price off of each next you need to add 3 to nine because each ticket was 3 dollar off so the answer would be 12
Answer:
6$
Step-by-step explanation:
5x3=15
45-15=30
30:5=6
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
Answers
please help i dont know if its c or d
Answers
Answer: 33.3%
Step-by-step explanation:
12/36 = 1/3
1/3 = 33.3% Please mark me brainliest!
Write
7 7 7 7 7
using exponents.
Answers
Answer:
\(7^{5}\)
Step-by-step explanation:
7 × 7 × 7 × 7 × 7 =
Since there are 5 sevens our index/power will be 5 and the base will be 7 :
\(7^{5}\)
Hope this helped and have a good day
HELLLLLLPPPPPP thanks
Answers
Answer: April is 17 and june is 10
What is the surface area of the rectangular prism below?
Options:
A ( 427 7/18) B ( 427 13/18) C (427 15/18 ) D (427 17/18)
Answers
Answer:
A
Step-by-step explanation:
Because to find the base, you'll want to so the bottom sides. Not the height. So the B x B.
There are two red jars of marbles and one blue jar of marbles. Jars of a certain color have the same number of marbles in them. There are 37 marbles in total. The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 8. Find the number of marbles in each type of jar.
Answers
Answer:
29
Step-by-step explanation:
second red jar = 15 marbles
blue jar = 7 marbles
total marbles = 15+15+7=37
2. What is the quotient of 4/5 divided by 1/3? Show your work in the space below or
on paper. Circle or highlight your answer.
Answers
Answer:
4/5/(1/3)
4/5*3 reciprocal of 1/3
=12/5
is 2.4 is the answer..
Q1. If ∛5x+10=5, Find x
Answers
Answer: x=-25
Step-by-step explanation:
Concept to know:
When given a number that is cubic root, in order to solve the equation/function, you need to cube numbers on both sides.
Solve:
Given
∛5x+10=5
Subtract 10 on both sides
∛5x+10-10=5-10
∛5x=-5
Cube numbers on both sides
5x=-125
x=-25
Answer:
x = -25Step-by-step explanation:
If ∛5x+10=5, Find x
∛5x = 5 - 10
∛5x = -5
take both sides of equation to the power of 3
5x = -125
x = -125/5
x = -25
PLEASE hurry, Thanks!
Answers
Answer:Min:4
Q1:6
Med:9.5
Q3:12.5
Max:17
Step-by-step explanation:
B = 25 + .05M
20 minutes a day for 30 days = 600 minutes per month
A(600) = 40+.1(100) = $50
B(600) = 25 + .05(100) = $30
Plan B is less expensive
40+.1(M-500)= 25+.05M
40-25- .1(500) = .05-.1M
.05M = 35
M= 35/.05 = 700 minutes will have the same cost under plan A or B
40+.1(200) = $60 under plan A
25+.05(700) = $60 under plan B
A grocer combined peanuts that cost $5.20/lb with walnuts that cost $6.40/lb. How many pounds of each were used to make a 45 pound mixture that cost $6/lb?
Answers
Answer:
Step-by-step explanation:
Ryan can use the mean, median, or mode to describe the average of his test scores.
His scores are 62, 64, 93, 68, and 93.
Which of the following statements is false?
The median is greater than the mean.
The mean is less than the mode.
The mode is greater than the range.
The range is less than the mean.
Answers
Answer:
this makes no sense sorry
Step-by-step explanation:
i can't help you
Select each expression that is equivalent to 3(n + 6). Select all that apply. (ANSWER ASAP)
A.
3n + 6
B.
2(n + 6) + (n + 6)
C.
2(n + 6) + n
D.
3n + 18
E.
2n + 2 + n + 4
Answers
Answer:
Step-by-step explanation:
This expression involves the distributive property. In the distributive property, there is a number followed by an equation in parenthesis.
3(n+6)
To simplify it, you have to multiply the first number by each number in the parenthesis, separately:
3(n+6)
3n + 3(6) or 3xn + 3x6 (same thing)
3n+18
Finally, we can check the other 4 choices to double check.
A. 3n+6 (wrong)
B. 2(n+6) + (n+6)=
2xn + 2x6 + n + 6
2n + 12 + n + 6
combine like terms, or all the terms that are the same. start with the Ns, then the numbers:
2n+n + 12+6
3n+18
C. 2(n+6)+n= 2n+2(6) +n = 2n+12+n= 2n+n+12= 3n+12
D.3n+18
E. 2n+2+n+4= 2n+n+2+4= 3n+6
Answer= B and D
hope this helps :))
Answer: 3n+18 bcz of the distributive property
Step-by-step explanation:
b & d
Pls help! Will give brainliest!!
Answers
Considering area (A) of garden as 30 square feet:
30 = x(2x+7)
Now we need to expand it:
x(2x+7) = 2x^2 + 7x
2x^2 + 7x = 30
Adding this into an Algebra calculator gives us 5/2 or 2.5
So x = 2.5
To prove this:
2(2.5) + 7 = 12
14 * 2.5 = 30
(2x+7) x = 30
you can distribute to make this easier
2x^2 + 7x = 30
you can plug this into quadratic formula by setting the equation =0, so:
2x^2 +7x -30 = 0
where 2x^2 = a
7x = b
and -30 = c
you can plug this into your calculator and get an answer of
X = 2.5
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Please help <3
Find the volume of a pyramid with a square base, where the perimeter of the base is
16.9 cm and the height of the pyramid is 19.6. Round Your answer to the nearest tenth of the cubic centimeter.
Answers
Answer:
116.6
Step-by-step explanation:
Volume = ⅓ × area of base ×height. We don't have the area of base, we need to find it.
Perimeter (4×Length) = 16.9 cm
Length = 16.9÷4 = 4.225 cm
Area = L² = 4.225² =
Volume of pyramid = 1/3 × 4.225² × 19.6 = 116.624 = 116.6 cm³