Triangles ABC and DEF similar

Triangles ABC And DEF Similar

Answers

Answer 1

Answer:

DE = 4 1/2

EF = 3 3/4

Step-by-step explanation:

AB/AC = DE/DF

6/4 = DE/3

cross-multiply:

4DE = 18

DE = 18/4 or 4 1/2

AB/BC = DE/EF

6/5 = 4.5/EF

cross-multiply:

6EF = 22.5

EF = 3.75


Related Questions

There are 6 dogs and 12 cats in the backyard. Write the ratio of cats to total animals In 3 ways, in simplest form.

Answers

Step-by-step explanation:

12:18

12 to 18

12/18 = 2/3

I need help on this and please explain to​

Answers

Answer:

[tex]\displaystyle m=-0.2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-10, 6) → x₁ = -10, y₁ = 6

Point (-15, 7) → x₁ = -15, y₁ = 7

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{7-6}{-15+10}[/tex][Fraction] Subtract/Add:                                                                                 [tex]\displaystyle m=\frac{1}{-5}[/tex][Fraction] Convert:                                                                                          [tex]\displaystyle m=-0.2[/tex]

We will be using the above formula. The answer will be a bit rough.

Okay. So our two points are (-10, 6) and (-15, 7). The number first in the brackets is always the 'x' variable while the second number in the bracket is always the 'y' variable. I will be using ² instead of the bottom 2 (As shown in the formula).

x = -10 x² = -15

y = 6 y² = 7

7 - 6

m = ———

- 15 - (-10) = -15 + 10

1

m = ——— OR - 0.2

- 5

Helpppp!!!!
Which of the following are square roots of the number below? Check all that
apply.

49

A. 7
B. 28
C. 8
D. -491/2
E. -7
F. 491/2

Answers

Answer:

Step-by-step explanation:

Because 7(7)=(-7)(-7)=49 the square roots of 49 are 7 and -7

Please Help i need this right now Thanks

Answers

60° i think but i’m not sure

Solve for x
Solve for x

Answers

Answer:

x=19

Step-by-step explanation:

20/36=30/(x+5+30)

20(x+35)=30(36)

20x+700=1080

20x=380

x=19

x is 19 you’re welcome

Jeri asked 30 classmates how many liked chocolate cake,how many liked white cake,and how many liked neither.Eleven liked chocolate cake,and seven liked white.Assuming that all of her classmates replied,what percent liked neither?​

Answers

11/30 + 7/30 = 18/30

30/30 - 18/30 = 12/30

12/30 = 0.4

40% liked neither.

Answer:

percent of classmates looked liked neither of 'em=40%

Step-by-step explanation:

students who liked chocolate cake=11

students who liked white cake=7

students who didn't like either of it=30-18=12

percentage of ''=[tex]\frac{12}{30}[/tex] ×100=40%

I have only 10 points plus give me the right answer this is the last I’m gonna ask but pls help just answer the blank question

Answers

15

I guess so

Hope it is correct

can someone properly explain the multiplier method I need help for revision

Answers

Answer:

yes

Step-by-step explanation:

I'm ready to help anyone in maths

Need help!!!! ahaaaaaa

Answers

Answer:

Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!

Can someone please help me with this I will give brainliest

Answers

Answer:

Step-by-step explanation:

2(2x +4) - 2x = x + 18

4x +8 -2x = x +18

2x -x = 18-8

X = 10

Put the value of x in both side

Left side *+*+*+*+*+

2 ( 2*10+4)-2*10

48-20 = 28

Right side +*+*+*+*+*

X + 18

10+ 18 = 28

Mark it as Brainlist. Follow me for more answer

Indigo measures a 2-ounce sample for an experiment. How many grams are in 2 ounces? (1 oz = 28.35 g)
0.07 g

0.90 g

4.40 g

56.70 g

Answers

Answer:

56.70 grams

Step-by-step explanation:

Multiply: 28.35*2=56.70

(Picture included)

Sorry about my handwriting!

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 2 tables is $22. The total cost to rent 3 chairs and 8 tables is $71. What is the cost to rent each chair and each table?​

Answers

Answer:

The cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step by step:

A party rental company has chairs and tables for rent. The total cost to rent

A party rental company has chairs and tables for rent. The total cost to rent 4

chairs and 8

tables is $73

. The total cost to rent 2

chairs and 3

tables is $28

. What is the cost to rent each chair and each table?

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Add comment

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1 Expert Answer

By:

Best

Edward C. answered • 02/10/15

TUTOR 5.0 (377)

Caltech Grad for math tutoring: Algebra through Calculus

ABOUT THIS TUTOR ›

Let C = cost to rent each chair

Let T = cost to rent each table

4C + 8T = 73

2C + 3T = 28

Multiply the 2nd equation by (-2) and then add the equations together

4C + 8T = 73

-4C - 6T = -56

2T = 17

T = 17/2 = 8.5

Plug this in to the 1st equation to solve for C

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

The cost to rent each chair and each table are $1 and $8.5 respectively.

Suppose the price of one chair =x

The price of one table =y

What is a linear equation?

Any equation of the form ax+by+c=0 is called a linear equation where a, b, c∈ R.

According to the question, the total cost to rent 5 chairs and 2 tables is $22.

5x+2y=22

Multiplying it by 4 on both sides

20x+8y=88.......(1)

The total cost to rent 3 chairs and 8 tables is $71.

3x+8y=71.........(2)

Subtracting (2) from (1)

17x=17

x=1

So, y=8.5

So, the price of 1 chair =$1

the price of 1 table =$8.5

Hence, the cost to rent each chair and each table are $1 and $8.5 respectively.

To get more about linear equations visit:

https://brainly.com/question/14323743

Which side lengths form a right triangle?

Answers

Answer:

B

Step-by-step explanation:

1^2+8^2=[tex]\sqrt 65\\[/tex]

The sum of 7 times the number and 3 times the 2nd numbers 54 if the 1st number is 2 more than the 2nd number what are the 2 numbers right as this movie equations that can be used to find the numbers

Answers

Answer:

1) The  series of equations that can be used to find the numbers are

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) The first number is 6

The second number is 4

Step-by-step explanation:

1) The given parameters for the numbers are;

7 times the first number + 3 times the 2nd number = 54

The first number = The 2nd number + 2

Let 'x' represent the first number and let 'y' represent the second number

The following series of equations can therefore be used in finding the numbers;

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;

7·x + 3·y = 54

∴ 7×(y + 2) + 3·y = 54

7·y + 14 + 3·y = 54

10·y + 14 = 54

10·y = 54 - 14 = 40

y = 40/10 = 4

The second number = y = 4

The first number, x = y + 2 = 4 + 2 = 6

The first number, x = 6.

In the equation 5x - 4 = 71, what is the constant

Answers

Answer:

I believe the Constant is 4, because the constant is supposed to be a stand alone number.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

a constant is a number that doesn't change

Consider the following two linear equations.
2x + y = 5
-2x + 2y = 4
Solve for the point of intersection using elimination
Point of intersection:

Answers

Answer:

(1,3)

Step-by-step explanation:

:)

Find the measure of an angle and its complement if one angle measures 18 degrees more than the other?

Answers

Answer:

x+18=90-x

use this equation and solve

2x=72

x=36

36+18=54

90-54=36

54 degrees and 36 degrees

The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

let, one angle = x

x+18=90-x

use this equation and solve

2x=72

x=36

so, we get,

36+18=54

90-54=36

Hence, The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

To learn more on angle click:

brainly.com/question/28451077

#SPJ6

Solve for x in the following figure and choose the appropriate result.

Answers

Answer:

2x is equal to 45

e is equal to x and 2

Step-by-step explanation:

x=45 so we have 180-45= 135

Please help me I don’t know what to do

Answers

Look at the angles and the little tallies to match up the triangle. Or use the given: triangle DEF is similar to triangle KJI. If it’s like that in a given you know the order is equal. (D and K are similar, E and J, and F and I)
So if line FD is the 3rd and 1st letters of the first triangle, then it has to be equal to the 3rd and 1st letter of the 2nd triangle.
IK

Another way to do this is that when you find FD on the triangle you can set that the line has 3 tally marks. Then look at the other triangle and find a line in which there are 3 tally marks.
The order in which you put the letters does not matter. IK and KI should both be considered correct
Hope this helped

which one of these would be correct for this?
AA
SSS
SAS

Answers

SAS - is the answer

Question: 1 out of 10
~!¡! Volume !¡!~

Answers

Answer:

a) 96

Step-by-step explanation:

2 + 2 = 4

4 * 24 = 96

A square has an area of approximately 500 square feet. Which of the following would be the most reasonable estimate of the length of the side of the square?

Answers

Answer:

22.36

Step-by-step explanation:

22.36 X 22.36 =(Approx) 500 feet2

I really really need help

Answers

Step-by-step explanation:

you can use any two points on the graph but I used the easiest one. It doesn't matter it will give the same result

2.) Find the value of n in the equation 1/2(n+4) = 6 *

Answers

Answer:

2

Step-by-step explanation:

N = 8
Hope this helps

why is it important to learn statistics?

how can you apply statistics in your everyday life?​

Answers

Answer:

Statistics is a mathematical technique and science that attempts to extract valid knowledge using empirical data of observation or experiment. The main object of research and study of Statistics is the collection, processing and interpretation of various data with the ultimate goal of drawing safe conclusions for making correct decisions. It is an important science whose applications have a wide field in administration, business, as well as in positive and behavioral or social sciences.

Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 97 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?​

Answers

Answer:

[tex]r = 5[/tex] --- Radius

[tex]h = 3.9[/tex] --- Height

Step-by-step explanation:

Given

Shape: Cone

[tex]Volume = 97in^3[/tex]

Required

Determine different possible values of radius and height

The volume (V) of a cone is calculated as:

[tex]V = \frac{1}{3}\pi r^2h[/tex]

Substitute 97 for V

[tex]97 = \frac{1}{3}\pi r^2h[/tex]

Multiply both sides by 3

[tex]3 * 97 = \frac{1}{3}\pi r^2h*3[/tex]

[tex]291 = \pi r^2h[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]291 = 3.14* r^2h[/tex]

Divide both sides by 3.14

[tex]\frac{291}{3.14} = \frac{3.14* r^2h}{3.14}[/tex]

[tex]\frac{291}{3.14} = r^2h[/tex]

[tex]92.68 = r^2h[/tex]

From the question, we understand that:

[tex]r \ne h[/tex]

So, we have to assume a value for either r or h and then solve for the other variable.

Let [tex]r = 5[/tex]

So, We have:

[tex]96.28 = 5^2 * h[/tex]

[tex]96.28 = 25 * h[/tex]

Make h the subject

[tex]h = \frac{96.28}{25}[/tex]

[tex]h = 3.8512[/tex]

[tex]h = 3.9[/tex] --- approximated

Note that there are other different possible values of h that is true for

[tex]92.68 = r^2h[/tex] where [tex]r \ne h[/tex]

Which property justifies the statement below?
"If -4x = 28, then 28 = -4r"
A. Commutative Property
B. Symmetric Property
C. Identity Property
D. Transitive Property​

Answers

Answer:

Commutative Property

find the sum of series of multiple of 5 from 5 to 100 inclusive​

Answers

Answer:

let me think

Step-by-step explanation:

(4^2)^4 simplify the expression in the form 4^n please

Answers

Answer:

It would be [tex]4^{8}[/tex]

Step-by-step explanation:

[tex](4^{2})^{4}[/tex] is equivalent to [tex]4^{2*4}[/tex] or [tex]4^{8}[/tex].

7 + a/3 = 5
PLS HELP ME
I've been siting here for 3 hours trying to figure this out.

Answers

Answer:

A=-6 is the answer

Step-by-step explanation:

it's simple

a = -6

7 + -6/3 = 5
7 + (-2) = 5

Hope this helps!!!!!
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