Which best explains why all equilateral triangles are similar?

all equilateral triangle’s can be mapped onto each other using dilations

all equilateral triangle can be mapped onto each other using rigid transformations

all equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations

all equilateral triangles are congruent and therefore similar with side links and a 1:1 ratio

Answers

Answer 1

Answer:

D

Step-by-step explanation:

I hope this helps you out!

Answer 2

Answer:

all equilateral triangle’s can be mapped onto each other using dilations.

Step-by-step explanation:

Because you can dilate or increase the size and scale the triangle about a certain point so if you do it correctly, this can be done with just a dilation.

Also an equilateral triangle is defined as a triangle where all the sides are congruent in length. This does not mean that all equilateral triangles are congruent (Do not get confused with D) to each other since size is the undefined variable so all equilateral triangles are proportional which means that they always have a ratio between them depending on the scale factor.

For example, let's say I have an equilateral triangle with a side length of 2, this means that all the sides must have a length of 2, but I can also have an equilateral triangle with a side length of 3, which means that all the sides will have that length for that triangle.

2 ≠ 3, but there is always a conversion factor between the side lengths. In this case a scale factor of 3/2 from the triangle with a side length of 2 to the one with a side length of 3. And a scale factor of 2/3 going from the triangle with a side length of 3 to the triangle with a side length of 2. Because all the sides are congruent, the angles must all be 60° degrees because individual side proportions defined by trigonometry are based on angles and sides. Thus, the angles are also affected due to the change in ratio.


Related Questions

solve 4 x 9.4 using distributive property. show your work

Answers

so it basically 36.16

Step-by-step explanation:

4x9=36

4x4=16

36.16

3.8:(4c+3)=2: 2 2/19
what is c
will give brainiest pls help quick

Answers

Answer:

the answer will be be 0.25 for decimal but for a fraction it would be 1/4

Answer:

0.25 is the answer :D

Write an equation for the line in the given form.

slope is 5 and (-4, 8) is on the line; point-slope form

Answers

Answer:

Y =5x + 12

Step-by-step explanation:

You start with

y-8=5x(x+4)

y=5x+ 12


Given the function: f(x) = 7x + 8.
Find the value of y when x = -6.

Answers

Answer:

-34

Step-by-step explanation:

7x + 8

7(-6)+8

-42+8

-34

Have a beautiful day!   v(⌒o⌒)v

f(x)=7x+8; x=-6
f(-6)=7(-6)+8
f(-6)=-34

Solve each system by graphing or using a table. Check your answers.
2x+y=−1
−x−2y=−4

Answers

Answer:

Step-by-step explanation:

Answer:

The first one: y = 2x - 1

The second one: y = 1/2x + 2

And if the second one is wrong, then it's y = x + 2.

this is due soon plz help

Answers

Answer:

tre made an error when adding  or subtracting. the answer is 05

Simplifying

3.57x + 1.61 = 4.71 + -2.63x

Reorder the terms:

1.61 + 3.57x = 4.71 + -2.63x

Solving

1.61 + 3.57x = 4.71 + -2.63x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.63x' to each side of the equation.

1.61 + 3.57x + 2.63x = 4.71 + -2.63x + 2.63x

Combine like terms: 3.57x + 2.63x = 6.2x

1.61 + 6.2x = 4.71 + -2.63x + 2.63x

Combine like terms: -2.63x + 2.63x = 0.00

1.61 + 6.2x = 4.71 + 0.00

1.61 + 6.2x = 4.71

Add '-1.61' to each side of the equation.

1.61 + -1.61 + 6.2x = 4.71 + -1.61

Combine like terms: 1.61 + -1.61 = 0.00

0.00 + 6.2x = 4.71 + -1.61

6.2x = 4.71 + -1.61

Combine like terms: 4.71 + -1.61 = 3.1

6.2x = 3.1

Divide each side by '6.2'.

x = 0.5

Simplifying

x = 0.5

The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?
h = p − 4.2
h = 2p
h = 4.2 − p
p = 2h
h = p − 4.2
p = 2h
h = 4.2 − p
h = 2p

Answers

Answer:

the correct option id D.

h = 4.2 − p

h = 2p

The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,

⇒ h = 2p

⇒ h = 4.2 - p

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The hardcover version of a book weighs twice as much as its paperback version.

And, The hardcover book and the paperback together weigh 4.2 pounds.

Now,

Let the hardcover book weight = h

And, the paperback together weigh = p

Hence. We get;

h + p = 4.2

h = 4.2 - p

And, The hardcover version of a book weighs twice as much as its paperback version.

Hence, We get;

⇒ h = 2p

Thus, The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,

⇒ h = 2p

⇒ h = 4.2 - p

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Write in expanded form.​

Answers

Answer:

a²*b² /c*d

Step-by-step explanation:

A rectangle has an area of 20 square centimeters. Which of the following could be the rectangle’s length and width?

Answers

Answer:

You did not give any options

Step-by-step explanation:

But 20 and 1 or 4 and 5 or 2 and 10 could possibly be the rectangle's length and width.

All but the first answer choice could be the length and width of a rectangle.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangle has an area of 20 square centimeters.

WE know that The area of the rectangle = length × Width

3 cm and 8 cm = 24 cm^2

This cannot be area of the given reactangle.  

1 cm and 20 cm = 20 cm^2.  

This is the area of the given reactangle.  

2 cm and 10 cm => 20 cm^2

This is the area of the given reactangle.  

4 cm and 5 cm  => 20 cm^2.  

This is the area of the given reactangle.  

All but the first answer choice could be the length and width of a rectangle.

The complete question is

Which of the following could be the rectangle’s length and width?

1. 3 cm and 8 cm = 24 cm^2

2. 1 cm and 20 cm = 20 cm^2.  

3. 2 cm and 10 cm => 20 cm^2

4. 4 cm and 5 cm  => 20 cm^2.  

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

please help asap!!!! i’ll mark brainlest

Answers

Answer:

C. 40 kilograms

Step-by-step explanation:

An NBA Basketball Court is a RECTANGLE that is 94 FEET long and 50 FEET wide. What is the AREA of the Court ? What is the PERIMETER of the Court?

Answers

Answer:

perimeter: 288 feet

area: 4700 feet

Step-by-step explanation:

explanation if wanted

Answer:

perimeter: 288 feet

area: 4700 feet

Step-by-step explanation:

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

(–4, 2)
(–2, 4)
(2, 4)
(4, –2)

Answers

Answer:

A

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

A bell tower that is 60 yards tall casts a shadow 32 yards long. If a nearby windmill is
45 yards tall, how long will the windmill's shadow be?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer:

24 yards long

Step-by-step explanation:

60/32 = 45/x

Cross Multiply:

60x = 1440

Divide both sides by 60.

x = 24 yards


HELP ME
solve for X

Answers

Answer:

203/11x

Step-by-explanation: I am soo very sorry gave you the wrong answer before but going over it I see it is 203/11x

A line had a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line?
A y=-2/3x+6
B y=-2/3x+8
C y=6x-2/3
D y=8c-2/3
PLS HURRY IM TIMED ON THIS ​

Answers

Answer:

I think B, but not sure.......

Step-by-step explanation:

Solve for theta (in degrees)

A = 11 , B = 23

Answers

Answer:

25.559 degrees truncated

Step-by-step explanation:

There are many ways of solving this problem. The way I went about doing it was taking the inverse tangent of 11/23, to get 25.559 degrees.  

x² - 4x + 24
factor this​

Answers

Answer:

Step-by-step explanation:

Function f(x) = x² - 4x + 24 does not have roots in set of real numbers.

a waffle recipe calls for 2 1/4 cups of flour. if Chun wants to make 1 1/2 times the recipe, how much flour does he need?

Answers

3.375 cups of flour are needed

solve for h
h/6 - 1 = -3​

Answers

Answer: h = -12

Work:
You can multiply each side by denominator to eliminate fraction.

General admission to Paul’s Pumpkin Patch is $8.00. For children to ride the various rides, they must use tickets that cost $1.00 each. The number of tickets needed for each ride varies. The function for this situation is P(x) = x + 8, where P(x) represents total cost as a function of the number of tickets, x. What is the domain for visiting and riding rides at Paul’s Pumpkin Patch? A. P(x) ≥ $8.00 B. x is all real numbers C. x ≥ 0, where x is non-negative D. x ≥ 0, x is an integer

Answers

Answer:

x ≥ 0, x is an integer

Step-by-step explanation:

Cost of general admission = $8

Cost of 1 ticket = $1

Cost of x tickets = x

So, Total cost for x tickets = x+8

We are given that  P(x) represents total cost as a function of the number of tickets, x

So, P(x)=x+8

Since cost cannot be negative

So, Domain for visiting and riding rides at Paul’s Pumpkin Patch is x ≥ 0, x is an integer

So, Option D is true.

x ≥ 0, x is an integer

what is the greatest common factor of 55+35

Answers

Answer:

5

Step-by-step explanation:

5(11+7)

The greatest common factor of the expression is 5.

Mutiples of 4 and 6??
HELP

Answers

Answer:

12,24,32.....

Step-by-step explanation:

4x3=12  6x2=12

A student is trying to find the density of a cube each side of the cube measures 4 cm and the mass is 503.68 g. Calculate the density.

Answers

Answer:

density = mass ÷ volume

v = 4 × 4 ×4 = 64

density = 503 .68 g ÷ 64 cm³

density = 7.87 g/cm³

Determine if ƒ(x) = –x3 – x4 – 9 + 6x is a polynomial function. If it is, state the degree and the leading coefficient. If not, state why.

Answers

Answer:

The given function is a polynomial function.

The degree of the function is 4 and leading co-efficient is -1.

Step-by-step explanation:

Given function is:

ƒ(x) = –x^3 – x^4 – 9 + 6x

Putting the terms in order of their power.

[tex]f(x) = -x^4-x^3+6x-9[/tex]

A polynomial is an algebraic expression which involves only positive integer exponents for the variables.

A polynomial function is of the form:

[tex]p(x) = a_nx_n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}........ a_0[/tex]

We can see that the function has no negative exponent. So the given function is a polynomial function.

The degree of a polynomial is the highest exponent of variable involved and leading co-efficient is the co-efficient of the variable with highest power.

Hence,

The given function is a polynomial function.

The degree of the function is 4 and leading co-efficient is -1.

Cost of Apples
1 pound of apple is $1.88
if this is a proportional relationship, write an equation relating the weight of the apples (a) to cost (c). If it is not a proportional relationship?

Answers

Answer:

Before 1845, “states were allowed to hold elections any time they pleased within a 34-day period before the first Wednesday in December.” What was one effect of this election system?

Voters in states with late elections knew the results of early elections.

Farmers were often unable to get to their polling place in time to vote.

The people who voted first could decide the outcome of most elections.

People spent less time in church because they would often travel to vote on Sundays.

Step-by-step explanation:

How many of you guys think Into The Night by Bath & Body Works smells like men's cologne?​

Answers

Answer:

It smells soooo good, I love it, but sadly i am not allowed to get it XD

Step-by-step explanation:

Answer:

KIND OF BUT THE BEST ONE IS WARM VANILLA SUGAR AND GLOW I THINK AND VELVET SUGAR I HOOKED YOU UP

Step-by-step explanation:

What is 1 2/3 equal to
What is 6 3/4 equal to
What is -9 7/3 equal to
What is 4 2/7 equal too

Answers

Answer:

1 2/3 = 5/3

6 3/4 = 27/4

-9 7/3 = -34/3

4 2/7 = 30/7

Step-by-step explanation:

12y=5x-15
4.2y+6.1x=11
Round to the nearest hundredth.
X=
Y=

Answers

Answer:

-15 and 11

Step-by-step explanation:

In the number 1,846, the ___ is in the tens place and the ___ is in the hundreds place

Answers

4 is in the tens place and the 8 is in the hundreds place .

I dont need the work, just the answers :)

Answers

Distance: sq (-3-(-9))^2 + (-1-8)^2
The answer is square root 117
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