Is it always true that dilations of a triangle are congruent to the original triangle

Answers

Answer 1

Answer:

A dilation is a transformation that changes the size but not the shape of a figure. Therefore, the image created by the dilation is not congruent to the pre-image, the original figure; it is similar. ... The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the pre-image.

Step-by-step explanation:

hope this helps ig

Answer 2

Description
DescriptionIn mathematics, a dilation is a function from a metric space into itself that satisfies the identity for all points, where is the distance from to and is some positive real number. In Euclidean space, such a dilation is a similarity of the space. Dilations change the size but not the shape of an object or figure. Wikipedia

Related Questions

Pls I need this ASAP! I’ll mark brainliest!



What is the sum of 4/10x + -1x + 1 7/10x?

Answers

Answer:

I think its 11x/10

Step-by-step explanation:

I have 2 questions
(1) What is the value of x?
30
60
90
(2) Classify the Triangle by its Angles. HINT: Use the Triangle Sum Theorem to find out the measure of the angles.
Scalene
Right
Obtuse
Acute

Answers

The first triangle: x=25 and is a Acute angle

The second triangle: x=30 and is a right triangle

4x - 3 = 6x + 9 looking for variable

Answers

Answer:

x=-6

Step-by-step explanation:

Add 3 on both sides and subtract 6 on both sides.

This gives you -2x=12

Divide -2 on both sides

this gives you -6.

x=-6

[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]

Step By Step Explanation:

Step 1:

→[tex]4x - 3 = 6x + 9[/tex]

Step 2:

→[tex]4x - 6x = 9 + 3[/tex]

Step 3:

→[tex] - 2x = 12[/tex]

Step 4:

→[tex]x = \frac{12}{ - 2} [/tex]

Step 5:

→[tex]\green{x = - 6}[/tex]

verification:

Step 1:

⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]

Step 2:

⇝[tex] - 24 - 3 = - 36 + 9[/tex]

Step 3:

⇝[tex] - 27 = −27[/tex]

[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]


Find the quotient 122 and -2.
A. 124
B. 61
C. 61
D. 120

Answers

Answer:

C

Step-by-step explanation:

The true answer is -61

Tip: If you want the correct answer you can not have a typo. Just a heads up.

Hi if you can answer this i'll mark u brainllest and give you MORE points
What are three equivalent decimals for the number -4.2323?

Answers

Answer:

-4.23230, -4.232300, -4.2323000

Answer:

1) -4.23230 2)-4.232300 3)-4.2323000

Step-by-step explanation:

Where is my brainliest and my points :)

A store pays $98 for a winter coat and marks the price up 10%.What is the price?

Answers

Answer:

107.8

Step-by-step explanation:

convert 10% into decimal

1.1

then calculate

98 × 1.1

107.8

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

$107.80

Step-by-step explanation:

10% of $98 is $9.80.

9.80 + 98 = 107.80

(- x2 + 9xy) – (x2 + 6xy - 8y2) =

Answers

Answer:

(15x- 8y)

Step-by-step explanation:

"y2"   was replaced by   "y^2"

((0-(x2))+9xy)+(((x2)+6xy)-23y2)

15xy - 8y2

= y • (15x - 8y)

During a special sale, all video games cost $26 and all movies cost $14. Derrick plans to spend some or all of his $220 in birthday money on these movies and video games. Let "x" represet the number of games Derrick can buy and "y" represent the number of movies he can buy. Write the inequality that describes this situation in standard form.

Answers

Answer:

[tex]13x+7y\leq 110[/tex]

Step-by-step explanation:

Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.

Cost of all video games = $26

Cost of all movies cost = $14

Total amount with Derrick = $220

So,

cost of [tex]x[/tex] video games + cost of [tex]y[/tex] movies [tex]\leq[/tex] 220

Therefore, the inequality is [tex]26x+14y\leq 220[/tex]

Divide this inequality by 2

[tex]13x+7y\leq 110[/tex]

prove that theta=l/r radian​

Answers

what are you asking
i’m confused
the angle subtends, s, divided by the radius of the circle, r. One radian is the central angle that subtends an arc length of one radius (s = r). ... The arc measure of the central angle of an entire circle is 360º and the radian measure of the central angle of an entire circle = 2π.




I hope my answer helped . Give me brainliest please .

Aanya wrote the four equations that are shown below.

A

6 x minus 8 = 4 (x minus 2) + 2 x
B

3 (x minus 1) + 2 x = 3 (x minus 1) + 2

C

7 x + 2 minus x = 6 (x + 2)
D

4 (x + 3) + x = 5 (x + 1) + 7

She examined them, without solving them, to determine which has exactly one solution. Which of Aanya’s equations has exactly one solution?
6 x minus 8 = 4 (x minus 2) + 2 x
3 (x minus 1) + 2 x = 3 (x minus 1) + 2
7 x + 2 minus x = 6 (x + 2)
4 (x + 3) + x = 5 (x + 1) + 7

Answers

Answer:      

B

Step-by-step explanation:

.' )

Answer:

The answer is B.

Step-by-step explanation:

I just took the test.

operaciones complejas raiz de -100​

Answers

Creo que 10i , si no es eso pues nose good luck hehe

Answer:

Step-by-step explanation:

10 i

es esto

state whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. original: 75, new:84

Answers

Answer:

The percentage of change is an increase of 12% from the original

Step-by-step explanation:

The percentage of change is a percentage of increase because the new value is greater than the original.

To find the percentage of change, we can divide the new value by the old which will give us the amount it increased by in decimal form, which we can simply multiply by 100 to find percentage:

84/75=1.12

1.12x100 = 112

The new value is 112% of the original, this means that the percentage of change is an increase of 12% from the original.

Hope this helped!

Answer:

increase and 12%

Step-by-step explanation:

84 -75 = 9

9 ÷ original # (75) = 0.12

0.12 x 100 = 12%

Select the smallest fraction from the following list of fractions.
2/3
1/4
1/10
5 1/12
3/8
2 1/2

Answers

Answer:

1/10

Step-by-step explanation:

it’s 1/10

we know because the fractions with whole numbers are obviously too big to be the smallest so we are left with 4 options,
2/3 cannot be the smallest because it is only one away from being whole, 3/8 is not the smallest because it’s only 5 away from being whole, and 1/4 is not the smallest cause it’s only 3 away from being whole. 1/10 in 9 away from being whole making it the smallest!

I will give 30 points

Jane walks one mile from her house to her grandparents' house. Then she returns home, walking with her grandfather. Her return rate is 70% of her normal walking rate. Let r represent her normal walking rate. Write an expression of the amount of time Jane spends walking.

A. 1/r + 1/0.7r

B. 1/r + 1/70r

C. 1.7r

Answers

Answer:

1.7r

Step-by-step explanation:

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Answer:

ΔABD ≅ ΔCDB

Step-by-step explanation:

Since a = 3, we can sub 3 into the expressions and then get a value for each side length.

AB: 3 + 7 = 10

BC = 16

CD: 12 - 2 = 10

DA: 18 - 2 = 16

Hence:

AB = CD (both have sidelengths of 10)

AD = CB (both have sidelengths of 16)

BD = BD (common line)

Therefore: ΔABD ≅ ΔCDB      Q.E.D.

NEED HELP!! ILL MARK YOURE ANSWER BRAINLIST.

1) In 2005 the number of seniors at Falcon decreased by 63 students over the 9 month school year. If the decrease was the same over the entire 9 months, write the monthly decrease as a quotient of integers and find the monthly decrease. please show you're work.​

Answers

Answer

9

Step-by-step explanation:

Divide 63 by 9 months

7 students per month

63 / 9 = 7

MY 1st QUESTION, WILL GIVE BRAINILIST!

Scott's retirement party will cost $8 if he invites 4 guests. What is the maximum number of guests there can be if Scott can afford to spend a total of $14 on his retirement party? Solve using unit rates.

Answers

7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.

Answer:

7

Step-by-step explanation:

Well if it's $8 for 4 people then you have to divide to get the rate:

$8/4 = [tex]\frac{2}{person}[/tex]

now you can divide the disired amount to get the number of people:

$14/ [tex]\frac{2}{person}[/tex] = 7 people

Which pairs of numbers have a greatest common factor of 9

Answers

Answer:

81 and 72

Step-by-step explanation:

Answer:

81 and 72

Step-by-step explanation:

which will not result in a value of zero?

Answers

Answer:

B

Step-by-step explanation:

because 10 and 11 are not equal, therefore, when you add 10 then subtract 11, you will not end up with your original number

Answer:

Deposit $10, then withdraw $11.

Step-by-step explanation:

If you have $10 and you take away $11. You balance a of -1. Which is not zero.

How to prove the vertical Angles Theorem

Answers

Answer:

see below

Step-by-step explanation:

Angles opposite each other when two lines cross. (see attached)

in the attached example, the angle a° and b° are vertical angles.

Step-by-step explanation:

[tex]

\underline{\bf{Given\::}}

Given:

\underline{\bf{To\:find\::}}

Tofind:

\underline{\bf{Explanation\::}}

Explanation:

\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}

\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}

−10

1

=

v

1

−30

1

v

1

=

−10

1

+

30

1

v

1

=

30

−3+1

v

1

=

30

−2

v

1

=

−15

1

⟶v=−15cm

\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}

MAGNIFICATION:

\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}

↦m=

Heightofobject(O)

Heightofimage(I)

=

Distanceofobject

Distanceofimage

=

u

v

↦m=

−15

−30

↦m=2cm

Thus;

The magnification will be 2 cm .

[/tex]

Which illustration shows the correct construction of an angle bisector?

Answers

 Option (3) will be the correct construction of the angle bisector.

   Steps to construct an angle bisector are as followed,

Step - 1

Put the compass at the vertex of the angle.

Step - 2

Draw an arc cutting both the arcs at two distinct points.

Step - 3

Draw two arcs from these points intersecting at a point.

Step - 4

Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.

     Therefore, Option (3) will be the correct option.

Learn more,

https://brainly.com/question/8607612

Choose the correct equation for the line shown on the graph?

Answers

Answer:

Option 3

[tex]y=-\frac{1}{4} x-1[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

where m = slope, and b = y intercept

The y intercept is -1. That is because the given line intersects the y axis at the point (0,-1)

The slope is -1/4

That is because it goes up one, and right -4. That means it goes up 1 and left 4.

Solve x-6y = 13 for y.

Answers

Answer:

y = 1/6x -13/6

Step-by-step explanation:

x-6y = 13

Subtract x from each side

x-x-6y =-x+ 13

-6y = -x+13

Divide each side by -6

-6y/-6 = -x/-6 + 13/-6

y = 1/6x -13/6

X − (5 − 3x) ≤ 2x − 1 Group of answer choices Number line with a filled circle at -1 and shading to the left Number line with a filled circle at -1 and shading to the right Number line with a filled circle at 2 and shading to the right Number line with a filled circle at 2 and shading to the left

Answers

Given:

The inequality is

[tex]x-(5-3x)\leq 2x-1[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]x-(5-3x)\leq 2x-1[/tex]

[tex]x-5+3x\leq 2x-1[/tex]

[tex]4x-5\leq 2x-1[/tex]

Subtract 2x from both sides.

[tex]4x-5-2x\leq 2x-1-2x[/tex]

[tex]2x-5\leq -1[/tex]

Add 5 on both sides.

[tex]2x-5+5\leq -1+5[/tex]

[tex]2x\leq 4[/tex]

Divide both sides by 2.

[tex]x\leq 2[/tex]

It means, the numbers less than 2 or 2 are included in the solution set.

Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.

Therefore, the correct option is D.

what is the value of each variable, 4n+5 + 8n-5 = 180

Answers

Answer:

n = 15

Step-by-step explanation:

4n + 5 + 8n - 5 = 180

~Combine like terms

12n = 180

~Divide 12 to both sides

n = 15

Best of Luck!

Gente

Vayan

Aaaa

MI

PERFIL

Necesito

Su

Ayuda

PLEASE HELP THIS IS DUE IN 6 MinUTES

Answers

Bruh u gotta put the text

Can someone help me with this please!!

Answers

Answer:

What are we meant to do its sideways

Step-by-step explanation:

Evaluate
7/8

×
16/35

Give your answer in its simplest form.

Answers

Answer:

2/5 thats the answer i think

Answer:

2/5

Step-by-step explanation:

[tex]\frac{7}{8}[/tex]×[tex]\frac{16}{35}[/tex]

7×16=112

8×35=280

Simplify:

[tex]\frac{112}{280}[/tex] 112÷4=28 280÷4=70

[tex]\frac{28}{70}[/tex] Continue simplifying → 28÷2=14 70÷2=35 14/35 continue simplifying 14÷7=2 35÷7=5 2/5 You cannot continue simplifying.  

So, [tex]\frac{2}{5}[/tex] is the answer.

were asked whether they like cricket (C) and football (F). The number liking both cricket and football was three times the number liking only cricket. Adding 3 to the number liking only cricket and doubling the answer equals the number of people liking only football. Four said they did not like sport at all.
a Draw a Venn diagram to represent this information. b Calculate n(C ∩ F).
c Calculate n(C ∩ F').
d Calculate n(C ' ∩ F).

Plzzzz help me

Answers

i need points sorry...

-3 ( -4 - 5x) = -18 i'll help with your questions :)))

Answers

Answer:

-15

Step-by-step explanation:

-3(-4-5x)= -18

12+15x= -18-12

15x= -30

x= -30÷15

x= -15

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