In the diagram, △ABC ~ △DEF. What is AC?
The image is of two similar right triangles ABC and DEF with right angles at B and E respectively. First one smaller in size and its base is 3. Base, altitude and hypotenuse of second one are 6, 8 and 10 respectively.

A. 4
B. 7.5
C. 5
D. 3

Answers

Answer 1

Answer:5

Step-by-step explanation: If you look at the base of both triangles, you'll notice that the smaller one has a base of 3, and the bigger one has a base of 6. The smaller triangle is half of the big one, therefore we can safely say that the hypothenuse of the smaller triangle is half of that of the larger one. Half of 10 is 5.

I had the same question on my homework.


Related Questions

You make an initial deposit of $2,500 in an account that offers 6% simple interest per year. How much will be in the account after 4 years?

Enter the correct answer in the box.

Answers

Answer:

3100

Step-by-step explanation:

3100

The amount of money in the account that he has after 4 years will be $3100.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

You make a $2,500 initial deposit into an account that pays 6% simple interest per year.

Then the amount of money in the account that he has after 4 years will be given as,

A = 2500 + (2500 x 6 x 4)/100

A = 2500 + 600

A = $3100

The amount of money in the account that he has after 4 years will be $3100.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2

Ellie bought cookies and cupcakes from Publix for $102.44. If she spent $36.44 on cookies and the cupcakes are $11 per box, which equation represents this situation?
A)11x - 36.44 = 102.44
B)102.44x + 11 = 36.44
C)11x + 36,44 = 10244
D)102.44 + 36.44x = 11

Answers

Answer:

C

Step-by-step explanation:

She spent $102.44 in total.

She spent $36.44 on cookies.

And $11 per box of cupcakes.

This means that she knows the exact amount she spent on cookies and in total so now to find out how much she spent on cupcakes, she subtracts $36.44 from $102.44($66) and then divides 66 by 11(6). So if you needed the problem solved x=6.

The Wells family drinks 8.5 gallons of milk per week. The McDonald family drinks 1.1 gallons of milk each day. What is the difference, in liters, between the amounts of milk the families will drink in one week? (1 gallon is approximately 3.8 liters)

Answers

Answer:

3.1 liters

Step-by-step explanation:

Wells family- 8.5 gallons per week

McDonald family- 7.7 gallons per week

8.5 gallons= 32.3 liters approx.

7.7 gallons= 29.2 liters approx.

32.3-29.2=3.1 liters difference

Evaluate the expression when n= -2
5n+30

Answers

Answer:

20

Step-by-step explanation:

5(-2)+30 = (-10)+30 = 20

Answer: 20

Explanation:
5(-2)+30 = -10+30 = 20

PLEASE HELP ME WITH THIS MATH PROBLEM FOR 26 POINTS AND BRAINLIEST AND EXTRA POINTS IF YOU GET THE BRAINLIEST FIRST!!!!! THIS IS VERY URGENT!!

Answers

Answer:

The answer is  C [ the third choice]

Step-by-step explanation:

Answer: I'm not sure what the answer is so I'd either choose :

C.) n > 6/7 or

D.) n > - 6/7

If side AB is parallel to side DC, how are side A'B' and side D'C' related? Explain.

Answers

Side A’B’ and D’C’ are related because they are both parallel which I think means that they would be the same length

select the story problem that this this division problem represents 3/4 divided by 1/3

Answers

Answer:

3/4 divided by 1/3 would equal 2 1/4 or 2.25.

X squared plus X equals six solve for X as if it’s a positive number

Answers

for the positive answer i got x=2

The length of a rectangle is twice the width. The area of the rectangle is 80 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square? Estimate the length and width of the rectangle.

Answers

Answer:

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units.

The area of the rectangle = Length × Width

Length = 2W

80 square units = 2W × W

80 = 2W²

W² = 80/2

W² = 40

W = √40

Width of the rectangle = 6.3245553203 units

Approximately = 6.325 units

Length = 2 × Width

= 2 × 6.325

= 12.65 units

• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square?

We you divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 12.65 units

12.65 units ÷ 2 = 6.325 units.

Hence, the side length of the square the 6.325 units.

HELP WILL MARK AS BRAINLIEST! 11 POINTS

Answers

Answer:

u=50/11

Step-by-step explanation:

cross multiply and divide on both sides

Answer:

u = [tex]\frac{50}{11}[/tex]

Step-by-step explanation:

Given

[tex]\frac{u}{10}[/tex] = [tex]\frac{5}{11}[/tex] ( cross- multiply )

11u = 50 ( divide both sides by 11 )

u = [tex]\frac{50}{11}[/tex]

Fine the perimeter AND area of the composite shape.

Answers

The perimeter is 36 and the area is 46

Kerry made fruit punch for the party. She made 62 quarts of fruit punch. She divided the punch into 8 containers equally. How much punch did each container hold?

Answers

Answer:

7 quarts of punch

Step-by-step explanation:

62/8 is 7.75,

What vocabulary words can you use to describe 36 and 27?

Answers

Answer:

Divisible by 3 and 9

Step-by-step explanation:

Answer

multiples of 3 and 9

Step-by-step explanation:

3*12=36

9*3=27

9*4=36

It takes 14 ppl to play a 42 minutes football game. How many ppl would it take to play a 60 minute football game

Answers

Answer:

20 people

Step-by-step explanation:

Step 1:

14/42 = x/60     Equation

Step 2:

42x = 840     Multiply

Step 3:

x = 840 ÷ 42     Divide

Answer:

x = 20

Hope This Helps :)

Answer:

20 people

42/14=3

Then, you divide 60/3=20 people

what is the answer to f(-5)=x^2-5

Answers

Answer:

32

Step-by-step explanation:

A________is a_________ in which a figure is enlarged or reduced

Answers

Answer:

Center of Dilation

Step-by-step explanation:

in a dilation, the fixed point about which the figure is enlarged or reduced

How much combined 87.8 and 17.3

Answers

Answer:

105.1

Step-by-step explanation:

87.8+17.3=105.1

Express 48 as a product of its primes.

Answers

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

^^^

Elsa is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 43 feet and its width is 36 feet. Suppose each can of wood stain covers 172 square feet. How many cans will she need to cover the court?

Answers

To find the area multiply length times width.
43 times 36 is 1548
Take 1548 divide by 172 to get the answer.
1548/172 equals 9

Answer:

Step-by-step explanation:

find the area which is length divided by width then divide by 172 which is what each can covers. So, 43x36 =1548 and 1548/172 equals 9. So 9 is the answer

The perimeter of a fence must be no larger than 500 feet in length. The longer side of the fence must be 10 feet more than twice the length of the shorter side. Write and solve and inequality to determine the maximum length of the shorter side of the fence.

Answers

Answer:

The shortest side of the fence can have a maximum length of 80 feet

Step-by-step explanation:

Inequalities

To solve the problem, we use the following variables:

x=length of the longer side

y=length of the sorter side

The perimeter of a rectangle is calculated as:

P = 2x + 2y

The perimeter of the fence must be no larger than 500 feet. This condition can be written as:

[tex]2x + 2y \le 500[/tex]

The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.

This can be expressed as:

x = 10 + 2y

Substituting into the inequality:

[tex]2(10 + 2y) + 2y \le 500[/tex]

This is the inequality needed to determine the maximum length of the shorter side of the fence.

Operating:

[tex]20 + 4y + 2y \le 500[/tex]

Simplifying:

[tex]20 + 6y \le 500[/tex]

Subtracting 20:

[tex]6y \le 500 - 20[/tex]

[tex]6y \le 480[/tex]

Solving:

[tex]y \le 480 / 6[/tex]

[tex]y \le 80[/tex]

The shortest side of the fence can have a maximum length of 80 feet

i will give 100 points for a simple question but the first person who answered will get what is the capital city of afghanistan ​

Answers

Answer:

kabul is yhe capital city

kabul is the capital city of Afghanistan.


Giselle pays $240 in advance on her account at the athletic club. Each time she u
the account. Model the situation with a linear function and a graph.
1. b= 225-15x
2. B=240-15x
3. B=225+15x
4. B=240+15x
Help plz god bless you

Answers

Answer:

2. B=240-15x

Step-by-step explanation:

Answer:

The answer is B = 240 - 15x

Step-by-step explanation:

Is a continuous graph a graph with connected lines and curves? PLEASE help! WILL GIVE BRAINLIEST

Answers

Answer:

That's pretty much correct. A continuous function is one that has no breaks or holes. For example, 1/x+5 is not continuous (or discontinuous) because the domain does not include -5. However, I don't think it needs to necessarily have to have curves because all linear functions are continuous. Hope this helps! (I learned about this a few weeks ago in my pre-calc class lol)

Step-by-step explanation:

thoughts on Larray's new song? anyone??

Answers

Answer:

Step-by-step explanation:

EST SONG EVER ITS ALMOST AT 40 MIL VEIWS SO COOL

I really need help asappp

Answers

Answer:

d

Step-by-step explanation:

Answer:I say D the other wont work so D

Step-by-step explanation:

Find its notation:
(x +6, y + 3)

Answers

Answer: i know the answer but i cant write it all on here

Step-by-step explanation:

What is the domain of the given function?

Answers

I believe it is C but I could be wrong.
It’s either C or D I’m pretty sure

six less than seven times a numer is equal to -20

Answers

Answer:

-8.85

Step-by-step explanation:

-20 divided by 7

minus 6=-8.85

sry if that make sense

—8.85 because it makes sense

CAN SOMEPLZ HELP ME I RLY NEED HELP

Answers

There would be a total cost of 15 dollars because when you plug in 395= 24n +35 you solve for N and you end up with 360=24n and you divide by 24 and you end up with n=15

A fraction is shown. 6/18 Which expression is equivalent to this fraction?
A. 6 × 18
B. 18 - 6
C. 6 ÷ 18
D. 6 + 18

Answers

Answer:

C

Step-by-step explanation:

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