MATHEMATICS HIGH SCHOOL

The triangles are similar. If DE = 12, EF = 10, and BC = 5, find AB.

Answers

Answer 1
Answer: AB/BC = DE/EF => AB = BC× DE/EF = 5X12/10 = 6
Answer 2
Answer:

Answer: AB=6

Step-by-step explanation:

AB=12×5/10= 6

Related Questions

Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%. Find the probability of each event. P(at least one boy anf one girl) P(two boys and one girl) P(at least two girls) I don't care if you cab only answer one, I would very much appreciate it if you still answered that one instead of nothing.
How do you write the cos 18° in terms of the sine.
Complete the equation of the graphed linear function in point-slope form.y – (–2) = ? (x – ?)
Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π?a.54.00 in2B)113.10 in2C)169.65 in2D)339.29 in2
Convert to a percentage. .35 A.3.5% B. .035% C. .35% D. 35%

how do you work out the value of "d" in the equation: 7d=4d+21? 

Answers

Subtract 4d from each side. / / / 3d = 21. / / / Divide each side by 3. / / / d = 7 .

I'm not completely positive but I believe this is how you do it.

7d=4d+21

7d - 4d = 21

3d = 21

3d / 3 = 21 / 3

d = 7

Katie says when n=3 the answer to 4n2=144jack says when n=3 the answer to 4n2=36who is correct and why?

Answers

JACK IS CORRECT.

4n²= 36 when n=3, not 144.

It is because you have to power up first, then you should multiply. But Katie did the opposite, so she was wrong.

Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes.Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation?
5x + 8y = 775 and x + y =125
5x – 8y = 125 and x + y = 775
5x + 8y = 775 and x – y = 125
5x – 8y = 125 and x – y = 775

Answers

Let x represent the number of quick washes and let y represent the number of premium washes.

1. One quick wash costs $5, then x quick washes cost $5x.

One premium wash cost $8, then y premium washes cost $8y.

They made $775 from a combination of quick and premium washes, then in total they made $(5x+8y) that is $775. The first equation is

5x+8y=775.

2. They had washed 125 cars, x cars by quick wash and y cars by premium wash, that is x+y in total. Then tha second equation is

x+y=125.

Only option A represents the situation.
Given:
quick washes = x ; $5
premium washes = y ; $8

x + y = 125
5x + 8y = 775

Correct answer is the 1st option.

x = 125 - y
5(125 - y) + 8y = 775
625 - 5y + 8y = 775
3y = 775 - 625
3y = 150
y = 150/3
y = 50 number of premium washes

x = 125 - 50
x = 75 number of quick washes

Your parents are considering renting you an apartment instead of paying room and board at your college. The month-to-month contract is $539.00/month and the annual contract is $467.00/month. If you break the annual contract, there is a 2-month penalty.3. How much do your parents save if you stay a whole year by entering into an annual contract rather than a month-to-month contract?

4. If you enter into an annual contract but decide to leave after 5 months, how much do your parents lose by not doing the month-to-month contract.

Answers

month to month contract = 539/month
annual contract = 467/month ; 2 month penalty if contract is broken.

m: 539 x 12 = 6,468
a:  467 x 12 = 5,604

6,468 - 5,604 = 864 savings.

m: 539 x 5 = 2,695
a: 467 x (5+2) = 3,269

3,269 - 2,695 = 574 loss.
3.well first you have to find out how much one year will be for both te contract and the month to month.
month to month is 6,468 dollars a year
The contact is 5,604
you subtract the month - contact / 6,468- 5,604=864 is how much they save

Tom took a trip of 1,020 miles . He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph . How many hours did the trip take?

Answers

The number of hours Tom took a trip of 1,020 miles is 3 hours.

Given that, Tom took a trip of 1,020 miles.

What is the speed?

The speedformula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Tom traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph.

Let the number of miles travelled by train be x. Then, the number of miles travelled by plane be 1020-x.

Time = x/55 = (1020-x)/285

⇒ 285x = 55 (1020-x)

⇒ 285x = 56100 - 55x

⇒ 285x + 55x = 56100

⇒ 340x= 56100

⇒ x = 56100/340

⇒ x = 165 miles

So, time = 165/55 = 3 hours

Therefore, the number of hours Tom took a trip of 1,020 miles is 3 hours.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

#SPJ5

Answer:

He traveled 3 hours by train and 3 hours by plane, so the trip take 6hours.

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.a = 20, b = 28, c = ?


A.34.41


B.35.45


C.35.88


D.34.72

Answers

The correct answer for the question that is being presented above is this one: "A.34.41." The information given represents lengths of sides of a right triangle with c the hypotenuse. 

h^2 = a^2 + b^2
c^2 = 20^2 + 28^2
c^2 = 400 + 784
c^2 = 1184
c = 34.41
Other Questions
Jana finished 1/4 of her homework at school and 5/7 of it before dinner. Which of the following statements is true?She has a lot of homework left to finish. She has about half of her homework left to finish. She has a little homework left to finish. She has none of her homework left to finish.
The Anderson can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?They can set up _____tables in 5 hours.
A city has two water towers. One tower holds 4.37 x 106 gallons of water and the other holds 3.92 x 106 gallons of water. What is the combined water capacity of the two towers?17.13 x 1012 gallons 17.13 x 1012 gallons 1.11 x 100 gallons 1.11 x 100 gallons 8.29 x 106 gallons 8.29 x 106 gallons .45 x 1012
What is the difference between the highest and the lowest temperature, -6 -8 -4 7 6 -2