if triangle ABC is similar to triangle DEF, find the value of x. AB is x and BC is 28. DE is 25 and EF is 20.

Answers

Answer 1

Answer:

x (or AB)=35

Step-by-step explanation:

x/25=28/20

20x=28x25

20x=700

x=35

Answer 2

The length of AB is 35 units

What is Similarity in Triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

These three theorems, known as Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS),

Given:

ΔABC  ~  ΔDEF then the ratio of their corresponding sides are equal

AB/ DE = BC/ EF = AC / DF

So, AB/ DE= BC / EF

x/ 25 = 28 / 20

x/25 = 7/5

x= 5 x 7

x= 35

Hence, the length of AB is 35 units

Learn more about similarity of triangle here:

https://brainly.com/question/25882965

#SPJ2


Related Questions

A minor league baseball stadium has 6000 seats on Beach Tower night the stadium sold 5500 off its available seats what fraction of the seats were sold

Answers

The fraction of seat sold is 11/12
Please give me brainiest.

1
Kathy spent half of her weekly allowance at the movies. To earn more money, her parents let
her clean the windows in the house for $15. What is her weekly allowance if she ended with
$32?

Answers

Answer:34

Step-by-step explanation:

She ended with 32 after the 15 earning from windows. 32-15=17 which is what she has before window money, which was half of her allowence 17×2=34

pls help I will give brainliest

Answers

At 1 hour the ship traveled 25 miles.

At constant speed, this means every 1 hour the ship travels 25 miles.

The speed would be 25 miles per hour.

the ratio of two numbers is 3 is to 7 if the smaller is 18 find the greater number ​

Answers

21 id the greater   number

Hope you understand

write an equation that describes the function​

Answers

F(x)= -x + 1

You can also use y instead of the f(x) notation.

I got this bc 1 is the y intercept. I know this because when x=0, the y value of that point is the y intercept.

To get slope I chose two values and did y2-y1/x2-x1

Answer:

y= –x + 1

Step-by-step explanation:

to write an equation in slope-intercept form, y = mx + b, calculate the slope, m, as rise/ run

The difference in y-values, rise, is –2

The difference between x-values is 2

–2/2 = m, the slope is –1

substitute for m, and it use any set of given y and x values in the equation to solve for b.

y= mx +b

–2 = –1(3) + b. Add 3 to both sides.

3 –2 = 3 –3 + b

1 = b

use the calculated m and b to write the equation with y and x

y = x + 1

Please answer this correctly without making mistakes

Answers

Answer:

What is meant by galons and quarts?

Step-by-step explanation:

Say me the meaning and I will answer it.

Answer:

Step-by-step explanation:

I think 93 gallons 75 quarts. Not sure because I haven't read this.

What’s the cop for y=4x

Answers

y= -4

Since the equation can be written in the form  y = kx, y directly with k and x.

The constant of variation,  k , is  − 4 - 4 .

Answer:

y =-4

Step-by-step explanation:

hope this helps

please give me a heart

Pls help this is for a grade and don’t give the wrong answers

Answers

Answer:

1. B

2. A

3. E

4. C

5. D

Step-by-step explanation:

yes sure, ??

1:D
2:C
3:A
4:E
5:B

I’m a math teacher here you go , Glad i could help

answer both = brainiest

Answers

Answer:

3= 7 4=2.75

Step-by-step explanation:

Wat ever the person said there right

A chicago clubs baseball cap costs 30$. Micheal has a coupon that will save him 30% of the price. How much money will Micheal pay for the cap.

Answers

Answer:

The discounted price is $21

please help & show your work .
I need it :)

Answers

This might help u

Gud luck

Step-by-step explanation:

1.cos x = 9÷12

x = (shift cos)

2.sin x = 8÷11

x = (shift sin)

3. idrk since there is some info missing

Matt and Bree are saving for a new car. At the end of 2013, their total savings was $12,500 . In 2014, total savings increased to $15,550 . How much did Matt and Bree save in 2014

Answers

Answer:

They saved $3000 in 2014

Step-by-step explanation:

Given

[tex]Savings (2013) = \$12500[/tex]

[tex]Total (2014) = \$15500[/tex]

Required

Determine the savings in 2014

This is calculated by subtracting the savings in 2013 from the total savings.

i.e.

[tex]Savings(2014) = Total(2014) - Savings(2013)[/tex]

This gives:

[tex]Savings(2014) = \$15500 - \$12500[/tex]

[tex]Savings(2014) = \$3000[/tex]

Hence, they saved $3000 in 2014

Translate the sentence into an inequality. Seven subtracted from c is greater than or equal to 27

Answers

Answer:

c-7 [tex]\geq[/tex] 27

Step-by-step explanation:

"Seven subtracted from c" is c - 7

"greater than or equal" is the sign required

"27" is on the other side on the inequality

Hope this helps!

Answer:

7-c ≤ 27

Step-by-step explanation:

11B. Long Beach Towing Company charges $40 plus $5 per mile to
tow a car. The Five-Star Towing Company charges $70 plus $2 per
mile. After how many miles the charges for the two companied will
be the same?

Answers

Answer:

The charges will be the same after 10 miles.

Step-by-step explanation:

Long Beach Towing Company:

Charges $40 plus $5 per mile. So after x miles, the charge will be of:

[tex]L(x) = 40 + 5x[/tex]

Five-Star Towing Company:

Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

[tex]F(x) = 70 + 2x[/tex]

After how many miles the charges for the two companied will be the same?

This is x for which:

[tex]L(x) = F(x)[/tex]

So

[tex]40 + 5x = 70 + 2x[/tex]

[tex]5x - 2x = 70 - 40[/tex]

[tex]3x = 30[/tex]

[tex]x = \frac{30}{3}[/tex]

[tex]x = 10[/tex]

The charges will be the same after 10 miles.

A baseball bat cost $28. There is a 25% discount. How much will you pay after the discount?

Answers

Answer:

$21

Step-by-step explanation:

1/4 of 28=7

so 28-7=$21

Answer:

7 dollars

Step-by-step explanation

One adult and 3 student tickets cost $11.50. Three adult and 2 student tickets cost $17.00.
a. Write a system of equations to represent this scenario.
b. Solve. Must show work. (Make sure to type the $ before the value.)
Adult tickets:
Student tickets:
a. System of equations:
b. Adult tickets:
Student tickets:

Answers

Answer:

Adult-. $4

Student-. $2.50

Step-by-step explanation:

equation

1a + 3s = $11.50

3a + 2s = $17.00

$4+$2.50(3)=$11.50

$12+$2.50(2)=$17.00

or

1($4)+3($2.50)=$11.50

3($4)+2($2.50)=$17.00

sorry if this is a little confusing, this is a simpler equation-

$4.00+($2.50x3)=$11.50

($4.00x3)+($2.50x2)=$17.00

A company's profit tripled from 2015-2016. If they earned $140,000 all together how much did they earn in each year?

Answers

Answer:

x+3x=140000

x=35000

in 2015, they earned 35000

in 2016, they earned 105000

Step-by-step explanation:

Upon studying low bids for shipping contracts, a microcomputer manufacturing company finds that intrastate contracts have low bids that are uniformly distributed between 22 and 29, in units of thousands of dollars. (a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000. (Round your answer to four decimal places.)

Answers

Answer:

0.4286 = 42.86% probability that the low bid on the next intrastate shipping contract is below $25,000.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

Uniformly distributed between 22 and 29, in units of thousands of dollars.

This means that [tex]a = 22, b = 29[/tex].

(a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000.

This is P(X < 25). So

[tex]P(X < 25) = \frac{25 - 22}{29 - 22} = 0.4286[/tex]

0.4286 = 42.86% probability that the low bid on the next intrastate shipping contract is below $25,000.

Which of the following equations is equivalent to 2log4x − log49 = 2

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

log _4 { x^2 / 9 } = 2

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

The value of [x] will be equivalent to x = 3.5.

What is logarithmic function? What is equation modelling? What is a mathematical equation and expression?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number [x] to the base [b] is the exponent to which [b] must be raised, to produce [x]. We can write -

        [tex]y=log_{e} (x)[/tex]

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the logarithmic equation as

2log(4x) − log(49) = 2

2log(4x) = 2 + log(49)

2{log(4) + log(x)} = 2 + log(49)

{log(4) + log(x)} = {2 + log(49)}/2

log(4) + log(x) = 1 + log(49)/2

log(4) + log(x) = 1.85

log(x) = 1.85 - log(4)

log(x) = 1.25

x = e^(1.25)

x = 3.5 {approx.}

Therefore, the value of [x] will be equivalent to x = 3.5.

To solve more questions on functions, expressions and equation modelling, visit the link below -

brainly.com/question/17421223

#SPJ2

A manufacturing company uses two different machines, A and B, each of which produces a certain item part. The number of defective parts produced by each machine is about 1 percent. Suppose two independent random samples, each of size 100, are selected, where one is a sample of parts produced by machine A and the other is a sample of parts produced by machine B. Which of the following is true about the sampling distribution of the difference in the sample proportions of defective parts?
A The mean is 0 and the distribution is approximately normal
B The mean is 0 and the distribution will not be approximately normal
C The mean is 0.01 and the distribution is approximately normal
D The mean is 0.01 and the distribution will not be approximately normal.
Ε The mean is 1 and the distribution is approximately normal.

Answers

Answer:

B: The mean is 0 and the distribution will not be approximately normal

Step-by-step explanation:

It is true that the mean is 0 because it is the difference in the population proportions, 0.01−0.01. However, normality cannot be assumed because the sample sizes are not large enough.

The sample distribution is defined as the probability distribution of a given sample based on statistics.

The correct option is (a).

Given:

The defective parts produced by each machine is 1%.

The sample Size is 100.

Calculate the proportion of the defective parts.

[tex]\dfrac{1}{100}=0.01[/tex]

Thus, the mean of each machine is 0.01.

Now, the mean difference between both machine is 0 and proportion will be normally distributed.

Learn more about sample distribution here:

https://brainly.com/question/10554762

The school library has 12,348 books. Two-thirds of the books are paperbacks. How many books are paperbacks?

Answers

8,232 books are paperbacks

Divide 12,348 by 3, then multiply that by 2

Answer:

about 8,223 or 8,224 rounding up

Step-by-step explanation:

Eight times a number plus five times another is -13. The sum of the two number is 1. What are the numbers ?
A:-5,6
B:-6,7
C:-7,8
D:,-8,9

Answers

Answer: B

Step-by-step explanation:

8 x (-6) + 5 x 7 = (-13)

-6+ 7 = 1 hope this helps.

The answer is: B. -6.7 .

Is this a function ?

Answers

Answer:

it is a function

Step-by-step explanation:

the input is not repeated

The larger of two numbers is 17 more than twice the smaller. When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6. Find the two numbers

Answers

Answer:

The numbers described here are 39 and 11.

Step-by-step explanation:

Let's call the numbers a and b, a being the larger. We're told two things:

The larger of the two numbers is 17 more than twice the smaller.

Which we can express as:

a = 2b + 17

When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6

And that can be expressed as:

a = 3b + 6

We can now take those two expressions and, noting that they both define a, we can say that they are equivalent, and solve for b:

2b + 17 = 3b + 6

3b - 2b = 17 - 6

b = 11

With b found, we can now take either of the first expressions, and solve for a:

a = 2b + 17

a = 2(11) + 17

a = 22 + 17

a = 39

Now we can check whether that is correct by plugging it into the other expression and seeing if b still comes to 11:

a = 3b + 6

39 = 3b + 6

3b = 33

b = 11

So we know that the answer is correct.

What is the mathematical situation

Answers

Answer:

There is no situation given...

Can some one help me I will give the brainliest

Answers

B. 12, it is this because 1+3+8=12

1. Su familia va a cenar a un restaurante de estilo sureño. Hay 6 personas en tu familia. Algunos piden la cena de pollo por $ 14 y otros piden la cena de bistec por $ 17. Si la cuenta total fue de $ 99, ¿cuántas personas pidieron cada cena?​

Answers

hola. én gou. hul gh ghî

A numbers game run by many state governments allows a player to select a ​three-digit number from 000 to 999. There are 1000 such numbers. A bet of ​$5 is placed on a number. If the number is​ selected, the player wins $500. If any other number is​ selected, the player wins nothing. Find the expected value for the game.

Answers

Answer:

The expected value for the game is of -$4.5

Step-by-step explanation:

The expected value of the game is given by each scenario multiplied by its probability.

Scenario 1: Player wins

1 correct number from a set of 1000, so probability of 1/1000.

In this case, the player spent $5, but earns $500, so a net of 500 - 5 = $495

Scenario 2: Player loses

Probability of 999/1000.

In this case, the player loses $5.

So, the expected value for the game is:

[tex]E = \frac{495*1}{1000} - \frac{5*999}{1000} = -4.5[/tex]

The expected value for the game is of -$4.5

I need help converting 3/5 into a decimal what should I write?​

Answers

Explanation: Decimals represent fractions

with denominators of 10, 100, 1000, and so on.

Therefore, in order to write 3/5 as a decimal, we must first find a

fraction equivalent to 3/5 with a denominator of 10.

So we multiply the numerator and denominator

of 3/5 by 2 to get the equivalent fraction 6/10.

Since 6/10 is written as the decimal 0.6,

3/5 must be equivalent to 0.6.

Multiply the denominator and numerator by 2, we get: 6/10...

6/10 in decimal is 0.6


1. Cindi finds a $89.50 sweater at 60% off. What percentage of the original price does she pay?

a.60%
b.40%
c.100%
d.50%

Answers

Answer:

the answer is b.40% hope this helps have a nice day please give me brainliest

Step-by-step explanation:

Other Questions
Given that the mass of Earth is 5.98x1024 kg, what is the orbital radius of a satellite that has an orbital period ofexactly one day (assume that a day is exactly 24 hours in length)? Helppppp pleaseeeeee the study of physical world is called? In how many months should Jake plan on having hisnew site set up? Do not round. Input your answer. a point that is on both graphs will be a ______________A. Solution for both equationsB. Solution for one equationC. Solution for neither equation please help 20 points During 2021, Sheffield Corp. had the following activities related to its financial operations: Carrying value of convertible preferred stock in Sheffield, converted into common shares of Sheffield $ 543000 Payment in 2021 of cash dividend declared in 2020 to preferred shareholders 281000 Payment for the early retirement of long-term bonds payable (carrying amount $3932000) 3977000 Proceeds from the sale of treasury stock (on books at cost of $394000) 457000 The amount of net cash used in financing activities to appear in Sheffield's statement of cash flows for 2021 should be $2977000. $3801000. $3819000. $3258000. This is about similar polygons in geometry Now that you have worked through a lot of material that includes these basic patterns, and you have compared grammatically correct and incorrect sentences, write down what you think is a rule that could explain what makes a sentence grammatically correct or nonot. For example, you might write something like: "verbs always match nouns in number, and they usually come before the noun." In other words, make your best guess for the grammar rule that makes sense out of the pattern(s) you see in the phrases you have been working with. Review if you need to, and you might briefly check your hunches against the sentences you have been working with in this or previous modules. Keep in mind that what you're after is your hunch, not a grammar rule from a text book. Now check your hunch with the explanation of this principle in the following pattern.be original and don't take others responces ? The Iroquois Constitution served as a model for the Constitution of the United States. true or false Casey Klemons' agreement (BELO plan) with his employer provides for a pay rate of $16.50 per hour with a maximum of 50 hour. How much would Klemons be paid for a week in which he worked 46 hours can someone help solve this? if you do, don't put a picture because i can't see them. A farmer wants to make a fenced square pen. He has a total of 100 meters of fencing. He wants to determine the possibilities for the area of the pen. Let A represent the area of the pen, in square meters. What is the slope of the line that passes through the points (-2,-3), and (5, 4)?0-10301-3NOT MULTIPLE CHOICE The students at view side elementary school had a read a thon the teachers kept track of how many books the students in each grade level read estimate the total number of books the students read round each number to the nearest hundred to help you find your answer Kindergarten 247, first grade 385 , second grade 1347 and third grade 1549 Angle ABC is right-angled at C. If AC = 5cm and BC = 12cm find the length of AB simplified surd of 130 The ratio of adults to kids in a school is 3 : 7. If there is a total of 200 people, how many of them are students? * What does T. J.s climb back up the fire escape in paragraph 28 reveal about him?A He has difficulty following rules.B He enjoys being the leader of a group.C He behaves in ways that others consider immature.D He takes action once he makes up his mind. Pls help asap! Will give brainliest!