Select the correct answer.
Triangle ABC is reflected across the yaxls and then dilated by a factor of 2 centered at the origin. Which statement correctly describes the
resulting Image, triangle DEF?

Select The Correct Answer.Triangle ABC Is Reflected Across The Yaxls And Then Dilated By A Factor Of

Answers

Answer 1

Answer: B

Step-by-step explanation:

Reflection does preserve side length and dilation preserves angles.

Answer 2

The solution is Option B.

The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the triangle be represented as ΔABC

Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin

And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

So , only the x coordinate of the point changes and there is no change in the angles or the side lengths

Now , dilation changes the side lengths of the triangle by a factor of 2

But there is no change in the angles of the triangle after a dilation

Hence , reflection preserves the angles and side lengths of a triangle

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Related Questions

Parallelogram JKLM is shown. If KR=X+7, KM = 3x - 5. and JL = 4x - 10.
what is JR?
2 points
K
R
569
27°
72°
M

Answers

Answer:

Step-by-step explanation:

In a parallelogram, this one in particular:

KR = RM

JR = RL

We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that

KM = KR + RM, but since KR and RM are the same length, the equation becomes

KM = 2KR. Filling that in with the expressions I'm given for KM and KR:

3x - 5 = 2(x + 7) and

3x - 5 = 2x + 14 and

x = 19. Now I can find the length of JL:

JL = 4x - 10 so

JL = 4(19) - 10 and

JL = 66

Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.

Which of the following points lies on the graph of the equation y = 2x +5.

(2, 7)

(4, 9)

(0, 2)

(2, 9)

Answers

(2, 9)

Step by step explanation: in order to graph the equation you can simply substitute for x and solve for y, or plug in the equation into your graphing calculator.

Given the distance between (x,1) and (-2,5) is 2 root 7, find the the value of x. Leave your answer in simplified exact form

Answers

Answer:

Step-by-step explanation:

Distance = the square root of (x2-x1)2 + (y2-y1)2Added:Distance Formula: Given the two points (x1, y1) and (x2, y2), the distance between these points is given by the formula:square root of x2-x1 squared +y2-y1 squared

The value of x is (√12) - 2, when the distance between (x,1) and (-2,5) is 2√7 units.

What is the length of any line on the graph?

The distance or length of any line on the graph,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

where,

d = distance/length of the line between point 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

Given that the distance between (x,1) and (-2,5) is 2√7 units. Therefore we can write,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]2\sqrt7= \sqrt{(x + 2)^2 + (1-5)^2}[/tex]

Squaring both the sides of the equation,

[tex](2\sqrt7)^2= (\sqrt{(x + 2)^2 + (1-5)^2})^2[/tex]

4 × 7= (x + 2)² + (-4)²

28 = (x+2)² + 16

28 - 16 = (x+2)²

12 = (x+2)²

x+2 = √12

x = (√12) - 2

Hence, the value of x is (√12) - 2.

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In a random sample of 190 people, 151 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places.

Answers

Answer:

(0.7465 , 0.8429 )

Step-by-step explanation:

Confidence Level - "P" values  

90% 1.645

Confidence Interval - "P" values  

(0.7465 , 0.8429 )  

(x^2+2x+1)+(-x^2+x+3)

Answers

Answer:

3x+4

Step-by-step explanation:

You have to combine like terms to get 3x+4.

What is the solution set of 7x 2 + 3x = 0?

{0, 3/7}
{0, -3/7}
{0, -4/7}

Answers

Answer:

the answer is b when we have two positives it makes a negitive therefore its b

Step-by-step explanation:

[tex]-2x(x+3)-(x+1)(x-2)[/tex]

Answers

Answer:-3x2-5x+2

Step-by-step explanation:

Distribute -2x to x+3, and then x+1 to x-2

[tex]-2x^{2}[/tex] [tex]-6x[/tex] [tex]-x(x-2)+1(x-2)[/tex]

[tex]-2x^{2} -6x-x^{2} +2x+1x-2[/tex]

[tex]-3x^{2} -3x-2[/tex]

Sorry it’ll be -3x2 -5x +2

Using two independent samples, two population means are compared to determine if a difference exists. The population standard deviations are equal. The number in the first sample is fifteen and the number in the second sample is 12. How many degrees of freedom are associated with the critical value

Answers

Answer:

Hence the degrees of freedom are associated with the critical value is 25.

Step-by-step explanation:

Using two independent samples, two population means are  

compared to determine if a difference exists, the population standard deviation is equal.  

sample size 1 = [tex]n_{1}[/tex]= 15 and sample size 2 = [tex]n_{2}[/tex] = 12  

since, population standard deviations are equal, required degrees of freedom              

[tex]= n_{1} + n_{2} - 2 \\= 15 + 12 - 2\\ = 25[/tex]  

what is the answer to
(35+5)[16+(12÷ 4)]

Answers

12÷4=3| |3+16=19| |35+5=40| 40+19=59|
|if I’m correct the answer to the equation should be 59 <3

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

760

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

please answer this!!​

Answers

Answer:

b

Step-by-step explanation:

tan equal to (opposite side) /(adjacent side)

am not able to write root 3 on phone but its something like this

(a¤3)/a

in which¤3 is root 3

Given the following coordinates complete the glide reflection transformation.​

Answers

hopefully this answer can help you to answer the next question.

please tell me what x =?

Answers

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from angle x, we know the opposite side and the adjacent side. Therefore, we should use the tangent function to solve.

tan(x) = 8/10

x = tan^-1(8/10)

x = 38.7 degrees

Hope this helps!

Does this graph show a function? Explain how you know.

Answers

Answer is (a.)
No it is not a function fails the vertical line test .

A function is only a function if it passes the vertical line test, meaning every x-value has only one y-value. In the case of this graph, it does not pass the vertical line tests and has multiple y-values for each x-value.

Correct Answer: A. No; the graph fails the vertical line test.

B is incorrect because y-values can have more than 1 x-value, such as a function like y = 2. The opposite is the correct statement; x-values can have no more than 1 y-value. For example, x = 2 would not pass the vertical line test.

Hope this helps!

What is the degree of the
polynomial below?
x^3 + 2x - 3x^4 + 5 + 3x^2

Answers

Answer:

x

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

The highest exponent is 4 so the degree is 4.

i have a few questions! what is the gcf for
(21 and 54)
(55 and 90)
(16 and 30)
(42 and 91)
(66 and 121)

Answers

Answer:

(21 and 54): 3

(55 and 90): 5

(16 and 30): 2

(42 and 91): 7

(66 and 121): 11

Step-by-step explanation:

Simplify this expression.






I need u again pls

Answers

Answer:

The answer is the Second Option

Step-by-step explanation:

Answer:

the second one sqrt(10) + sqrt(15) -sqrt(14) - sqrt(21)

Step-by-step explanation:

HELP PLEASE ! it keep saying its wrong ​

Answers

Answer:

x=24 y=33

Step-by-step explanation:

If a diameter or radius is perpendicular to a chord, then it bisects the chord and its arc.

rs 20736 was distributed to as many rupees as there were. how many students were there​

Answers

This question is solved by proportions

Doing this, we found that there were 144 students.

20736 was distributed. The number of rupees for each student is the number of students.

Considering n students, the amount each student receives is:

[tex]A = \frac{20736}{n}[/tex]

Considering each student received n rupees:

[tex]n = \frac{20736}{n}[/tex]

Applying cross multiplication:

[tex]n^2 = 20736[/tex]

[tex]n = \sqrt{20736}[/tex]

[tex]n = 144[/tex]

Thus, there were 144 students.

A similar question can be found at https://brainly.com/question/23843273

Solve the triangle. Round your answers to the nearest tenth.

Answer Options:
A. m∠B=47, m∠C=28, b=24
B. m∠B=47, m∠C=28, b=28
C. m∠B=43, m∠C=32, b=28
D. m∠B=46, m∠C=29, b=24

Answers

Answer:

Option B

You use sine rule to find the missing angles

Answered by GAUTHMATH

For any triangle ABC, The correct option the given triangle is B. m∠B=47, m∠C=28, b=28.

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took,

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

We have been given angle A = 105 degrees and side a = 37, side c = 18.

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle C}{c}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle C}{18}\\\\sin\angle C = \dfrac{sin\angle 105}{37} \times 18 \\\\sin\angle C = 28[/tex]

By angle sum property;

A + B + C = 180

105 + 28 + B = 180

B = 180 - 133

B = 47

Therefore,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle 47}{b} \\\\b = 28[/tex]

Hence, the correct option the given triangle is B. m∠B=47, m∠C=28, b=28.

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Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

Question 3: 220 centimeters

Question 4: 31.4 millimeters

Step-by-step explanation:

Question 3:

Formula for circumference: 2πr

2πr

Exchange π for 22/7

2 · (22/7) · r

Exchange r (radius) for 35

2 · (22/7) · 35

Simplify:

2 · (22/7) · 35

44/7 · 35

220; 220 centimeters

Question 4:

Formula for circumference: 2πr

2πr

Exchange π for 3.14

2 · 3.14 · r

Exchange r (radius) for 5

2 · 3.14 · 5

Simplify:

2 · 3.14 · 5

6.28 · 5

31.4; 31.4 millimeters

Answer:

220 cm31.4 mm

Step-by-step explanation:

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

Solve:

Question # 1

r = 35 cm

π = 22/7

Circumference = 2πr

Circumference = 2 (22/7) (35)

Circumference = 2 (110)

Circumference = 220 cm

Question # 2

r = 5 mm

π = 3.14

Circumference = 2πr

Circumference = 2 (3.14) (5)

Circumference = 10 (3.14)

Circumference = 31.4 mm

Hope this helps!! :)

Please let me know if you have any questions

Find the missing segment in the image below

Answers

Answer:

? = 42

Step-by-step explanation:

24/8 = ?/14

cross mult

24/8 = x/14

336=8x

x = 42

1.

Name the postulate or theorem you can use to prove the triangles congruent.

Answers

Answer:

phthagoras

Step-by-step explanation:

Need helppppp asappppppp

Answers

Answer:

162

Step-by-step explanation:

because this is a parallelogram :

m<2 = m<4 so

4x - 22 = 3x - 12

4x - 3x = 22 - 12

x = 10 replace x with 10 in the equation for m<4

3x - 12 is 30 - 12 = 18

m<4 and m<1 are supplementary and their sum is equal to 180

m<4 + m<1 = 180

m<1 = 180 - 18

m<1 = 162

Find the value of n. A. 10 B. 6 C. 50 D. 25

Answers

I’m thinking the answer would be D

Evaluate the following
expression using x = 6:
8(3x + 1)


Anyone know the answer

Answers

Answer:

152

Step-by-step explanation:

Substitute the given value for x.

[tex]8(3(6)+1)\\8(18+1)\\8(19)\\152[/tex]

Answer:

152

Step-by-step explanation:

8(3x+1)

Let x = 6

8(3*6+1)

Multiply inside the parentheses

8(18+1)

Add inside the parentheses

8(19)

Multiply

152

If two natural numbers are n and (n+3) prove that the differences of their square is an even numbers

Answers

Answer and explanation:

Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:

(n+3)²-(n)²= (n+3)(n+3)-(n)²

=n²+3n+3n+9-n²

=6n+9

Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.

Triangle UVW is similar to triangle XYZ. Find the measure of side ZX. Figures are not
drawn to scale.
w
N
8
4
19.8
U
y
х
Answer:
Submit Answer

Answers

Answer:

9.9

Step-by-step explanation:

Let the side of ZX = x

4/8 = x/19.8

Cross-multiply

8x = 79.2

Divide both sides by the coefficient

8x/8 = 79.2/8

x = 9.9

instruction Find m<HFG​

Answers

Answer:

∠ HFG = 79°

Step-by-step explanation:

The inscribed angle HFG is half the measure of its intercepted arc, that is

∠ HFG = [tex]\frac{1}{2}[/tex] × 158° = 79°

Members of a band class were arguing over which
instruments are played by the best academic students. A
survey was conducted, and here are the results:
All 13 flute players had a grade point average (GPA)
between 3.84 and 3.88.
There were only 3 percussionists. One had a GPA of
2.4, one had a GPA of 2.8, and one had a GPA of 3.2.
Among the saxophone players, 4 had a GPA of 3.9,
and the other 5 had a GPA of 4.0.
h

Answers

The median GPA of the  percussionists is 2.8

This question appears incomplete.

Here is the complete question :

Members of a band class were arguing over which instruments are played by the best academic students. A survey was conducted, and here are the results:

All 13 flute players had a grade point average (GPA) between 3.84 and 3.88.

There were only 3 percussionists. One had a GPA of 2.4, one had a GPA of 2.8, and one had a GPA of 3.2.

Among the saxophone players, 4 had a GPA of 3.9, and the other 5 had a GPA of 4.0.

For percussionists, the median GPA is _____.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Median is a measure of central tendency

Other measures of central tendency include  mean and mode.

The GPA of the 3 percussionists are 2.4, 2.8 and 3.2

This data has already been arranged in ascending order.

The number that is in the middle is 2.8

Conversely, if the GPA is arranged in descending order, it is 3.2, 2.8 and 2.4

The number that is in the middle is 2.8

For more information on how to calculate median, check : https://brainly.com/question/12528427?referrer=searchResults

I neeeddddd helppppp!!!! It’s urgentttttt

Answers

Answer:

R theta 1 = 20 x

R theta 2 = 11 x  - 6

R ( theta 1 + theta 2) = 31 x - 6     adding equations

R pi = 31 x - 6       since theta 1 + theta 2 = 180 deg

x = (R pi + 6)  / 31

This equation depends only R

If one lets R be one then   x = (pi + 6) / 31

This would give x = .29489 rad for the value of pi is deg

The numerical value of x appears to depend on the value of R

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Trevor is writing a report about the scientist Marie Curie. Trevor wants to revise the draft to improve his introductory paragraph. Read his draft andcomplete the task that follows.Although she came from humble beginnings in her native country of Poland, Marie Curie (born Marie Salomea Skodowska) was always eager to learn, and she was especially interested in science. Her family did not have much money, so she had to work several jobs in order to pay for college, eventually going on to study physics and math at the prestigious Sorbonne University in Paris, France. That is where she met and married a physics professor named Pierre Curie. The Curies enjoyed doing research together and became known for discovering two new elements. By the time of her death in 1934, Marie Curie's impressive accomplishments included: 1) the discovery of the elements radium and polonium; 2) invention of the first portable x-ray machines and portable radiology units; and 3) directorship of Curie Laboratory (named after her!) at the Radium Institute of the University of Paris.Choose the best hook that Trevor should use to begin his introductory paragraph:A.Marie Curie worked as a tutor and governess so that her older sister could study medicine in Paris.B.You really should learn more about Marie Curie, and I'm going to use the following essay to tell you all the great things you needto know about herC.Only one woman has ever won the Nobel Prize in both chemistry and physics, and her impact on science is closely felt even today!D.Marie Curie had to learn to speak French in order to study physics at the Sorbonne, What is the equation of the line that passes through the point (-5, -2) andhas a slope of -6/5 Consider the complex number 5 + 0.45i What is the real part of this complex number? Over the summer, Regan started studying Russian with an app and completed 5 lessons. Now that school has started, she will work more slowly, completing 1 lesson per month.Write an equation that shows how the total number of lessons Regan has completed, y, depends on how many months of the school year have passed, x. PLEASE HELP ASAPP!!!! ILL GIVE BRAINLIEST!! PLEASE HELP QUICKLY!1. A pet store purchases dog food from a supplier in the local community for $20 per bag. If the store adds a 10% markup to the dog food, how much will a customer have to pay for a bag?2. Jimmy's shop recently imported a new PlayStation game. The game originally cost $25, and for the company to make a profit they sell the game with the price increased by 40%. How much do they sell the game for? Carbon is rare in that it does NOT bond with any other elements.Select one:TrueFalse a big bag contains 500 beads, each of the same size, but in 5 different colors. Suppose there are 100 beads of each color and I am blindfolded. What is the fewest number of beads I must pick to be absolutely sure there are 5 beads of the same color among the beads I have picked blindfolded?I WILL REPORT ANY FAKE OR USELESS ANSWERS can someone help me?? I'm almost give up now.. (science) I NEED THIS ANSWERED PLEASE ASAP !!!Which detail from The Way to Rainy Mountain supports the central idea that the Kiowa oral tradition keeps the culture alive?1: Yet it is within the reach of memory stilland demands to be preserved for its own sake.2: The old men were the best arrowmakers, for they could bring time and patience to their craft.3: The sun follows a longer course in the day, and the sky is immense beyond all comparison.4: A single knoll rises out of the plain in Oklahoma, north and west of the Wichita Range. The place that the convicted witches were taken to beexecuted in 1697 Pls help me rn bec sue tmr pls pls How are food-contact surfaces to be handled between usesA. Wash, rinse, and sanitizeB. Wipe down with cleanerC. Clean and rinseD.Wipe down with cleaner and sanitize The Diamondbacks softball team orders a new baseball bat and pays $310.30 after tax. The tax rate is 7%. What is the original price of the baseball bat? A baker has her hand-mixer set to high to mix a cake batter. She can turn it down to low or turn it off. Which best describes what she did during the time shown on the graph?. why did slavery expand into new states and territories? Help help help help history 2. A ray of light is incident at 60 in the air on an air glass plane surface find the angle of refraction in the glass. (mew for glass=1.5)[tex] [/tex] If you roll two fair six-sided dice what is the probability that the sum is: On a game show, a contestant wins $200 by answering questions correctly but loses $300 foreach question answered incorrectly. How much money would a contestant win if sheanswered 14 questions correct and I question incorrect? How was slavery in the Southern colonies different than in the Northern or Middle colonies? Southern colonies had fewer slaves. Southern colonies had no slaves. Southern colonies had older slaves. Southern colonies had more slaves.