Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.

Question 3 options:

AB=RS

AB=2RS

ΔABC~ΔRST

△ABC≅ΔRST

m∠BAC=m∠SRT

m∠BAC=2m∠SRT

Answers

Answer 1

The given reflection transformation is a rigid transformation, such that the dimensions are preserved

The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;

AB = RSΔABC ≅ ΔRSTm∠BAC ≅ m∠SRT

Reasons:

The given parameters are;

Triangle ΔABC is reflected across the line y = 2·x

Given that a reflection is a rigid transformation, we have;

The distance between two points on a preimage is the same as the distance between the corresponding points on the image;

Therefore;

ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;

AB ≅ RS, BC ≅ ST, and AC ≅ RT

m∠BAC ≅ m∠SRT

m∠BCA ≅ m∠STR

m∠BAC ≅ m∠SRT

Therefore;

The true statements are;

AB = RSΔABC ≅ ΔRST

Therefore;

m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRST

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Related Questions

Dalawang batong itim

Answers

Sa tabi mo.

[tex] \: \: [/tex]

Step-by-step explanation:

I havenot understand queation

if you sold 60 cups of lemonade , how many cups of orange drink did you sell

Answers

Answer: 0, I think, hope this helps

Step-by-step explanation:

Answer:

you sold 40 cups of orange drink.

Step-by-step explanation:

60*2=120 (the cups of lemonade, multiplied by the cost equals how much you earned from lemonade.)

240-120=120 (how much you earned total, minus 120, how much you earned from lemonade, equals the remainder, how much total you earned for the oragne drinks. )

120/3=40 (the amount you earned for the orange drinks, divided by three, how much you earned for each, which equals 40. and equation would be

240=2x+3y

240=2(60)+3y

240=120+3y

240-120=120-120+3y

120=3y

120/3=3y/3

40=y

Hope this helps!

The US dollar can be exchanged for other types of currency in the world the exchange rate is always changing suppose one eruro is equivalent to two dollars
HELP DUE TODAY! PLS HELPP



1. 2. 5. 10. Euro

2. ? ? ? US dollars

Answers

Answer:

$2, $4, $10, $20

Step-by-step explanation:

1*2=2

2*2=4

5*2=10

10*2=20

What is the x and y intercept of 2.5x+8y=240 please show your work.

Answers

Answer:

The x and y intercept are (96,30)

Step-by-step explanation:

8y=240-2.5x

y=240/8-2.5x/8

y=30-0.3125x

The y intercept=30

The x intercept=96 thus 30=0.3125x,x=30/0.3125

Lucía makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can make 3 braided key chains. PART A Use a model to represent the relationship between the feet of cotton cord and the number of key chains. PART B Use the model to explain how to find the number of feet of cotton cord Lucia needs to make 5 key chains.​

Answers

Lucía needs 13.33 feet of cotton.

Since Lucía makes braided key chains out of cotton cord, and for every 8 feet of cotton cord she has, she can make 3 braided key chains, to represent the relationship between the feet of cotton cord and the number of key chains and find the number of feet of cotton cord Lucia needs to make 5 key chains, the following calculations must be performed, through a cross multiplication:

8CC = 3KC 3 = 8 5 = X 5 x 8/3 = X 40/3 = X 13.33 = X

Therefore, Lucía needs 13.33 feet of cotton.

Learn more in https://brainly.com/question/13019339

If y = 132 when x =11, what is the value of y when x = 17?

Answers

Answer:

204

Step-by-step explanation:

The answer is 138!
Hope this helps

Solve for X: square root 2x power of 2 +5 = 2

A. plus and minus 1

B. square root 2

C. plus and minus 2

D. no solution​

Answers

I think the answer is D

What is the iterative rule for the following sequence?
4, 4/5, 4/25, 4/125, ...

A.) an=4•(1/5)^n-1
B.) an=4•(1/5)^n
C.) an=1/5•4^n-1
D.) an=1/5•4^n

Answers

Answer:

A.) 4 * (1/5)^(n-1)

Step-by-step explanation:

a1 = 4 * (1/5)^(1-1) = 4* (1/5)^0 = 4*1 = 4

a2 = 4 * (1/5)^(2-1) = 4 * (1/5)^1 = 4 * 1/5 = 4/5

a3 = 4 * (1/5)^(3-1) = 4 * (1/5)^2 = 4 * 1/25 = 4/25

a4 = 4 * (1/5)^(4-1) = 4 * (1/5)^3 = 4 * 1/125 = 4/125

a5 = 4 * (1/5)^(5-1) = 4 * (1/5)^4 = 4 * 1/625 = 4/625

. . .

The required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.

Given sequence,
4, 4/5, 4/25, 4/125, ...

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
The given sequence is 4, 4/5, 4/25, 4/125, ...

Common ratio among the proceeding terms,
r = 4/5/4
r = 1/5
The required general term can be described as [tex]a_n=4*(1/5)^{n-1}[/tex].

Thus, the required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.

Learn more about geometric progression here: https://brainly.com/question/4853032

#SPJ5


I am confused if someone could explain this it would be greatly appreciated

Answers

the question is asking for a point at which the two values would intersect, so i think that it is looking for a solution. in this case, i would solve the equations: y=0.15x+19 and y=0.19x.
the point of intersection for these equations is (475, 90.25). you are looking for the x value, so the answer would be 425 minutes of calling for the two plans’ costs to be equal.

Help please thank you!

Answers

The photo below has the answer

Can someone help me please ?

Answers

Answer:

=

Step-by-step explanation:

1. The square root of 4 is 2 because [tex]2^2[/tex] = 4.

2. The cube root of 8 is 2 because [tex]2^3 = 2* 2 * 2[/tex] = 8.

3. 2 and 2 are equal.

Therefore, the correct symbol is =.

write 47% as a fraction is simplest form.

Answers

Answer:

47/100

Step-by-step explanation:

47 = 0.47 = 47/100

you roll a standard die. you win $12 if you roll a six, $6 if you roll a one, and $0 if you roll anything else. what is the expected value of a single roll?

Answers

Answer:

$0

Step-by-step explanation:

      The chance of winning money is 2/6 -> 1/3, and sense 2/3 is larger than 1/3, we can conclude the expected value of a single roll is $0.

(I may be doing this problem wrong as I don't have context for what you're currently working on, but I hope this helps. Have a nice day!)

Answer:

1 dollar

Step-by-step explanation:

Because if u roll a six it gives you six dollars so how many rolls you roll you get that amount of money. :)

I hope im right :D

After a 25% discount the price of a T shirt was $12 what was the price before the discount?

Answers

Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.

Step-by-step explanation:G

Answer:

$16

Step-by-step explanation:

25% is equal to 1/4.

1/4 of 16 is 4.

so if you subtract 4 from 16, it equals 12.

have a lovely day <3

8h-2>3h+2
solve for h

Answers

Answer:

h >4/5

Step-by-step explanation:

8h-2>3h+2

Subtract 3h from each side

8h-3h-2>3h-3h+2

5h-2> 2

Add 2 to each side

5h-2+2> 2+2

5h >4

Divide by 5

5h/5 >4/5

h >4/5

Answer:

H can be any number larger than 4/5, i'm pretty sure

Step-by-step explanation:

8h-2>3h+2

8h-3h>2+2

5h>4

h>4/5

What is the sum of the 3rd
prime number and the 2nd
square number?

Answers

Step-by-step explanation:

First 3 Prime Numbers are

2 , 3 , 5

Therefore, Sum of the square of these numbers will be

2^2 + 3^2 + 5^2

= 4 + 9 + 25

= 38

Hence the answer is 38

Hello there!

The third prime number is

[tex]5.[/tex]

The second square number is 4. Add them together and get 9 as your answer.

Now, what is a prime number? It's a number that has only 2 factors (1 and itself)

If you multiply a number times itself, you get a square number.

Hope this helps you!

~Just an emotional teen who listens to her favourite songs

[tex]Silent Nature[/tex]

answer question 7, please with steps

Answers

Answer:

Angles FVE, FVD, and EVD have V as a vertex

Step-by-step explanation:

If V is the vertex of an angle, it's the point of that angle. So, it wants every angle you can make where V is the point of it.

Answer:

All angles in question 7 have v as a vertex

Step-by-step explanation:

Vertex just means corner, so if v is the corner in the Angle then it has v as a vertex

100 points for right answer

Answers

Answer:

x=6

Step-by-step explanation:

Step 1: Cross-multiply.

x−3  / 5 = 6 /10

(x−3)*(10)=(6)*(5)

10x−30=30

Step 2: Add 30 to both sides.

10x−30+30=30+30

10x=60

Step 3: Divide both sides by 10.

10x 10 = 60  10

Answer:

hope it helps you................

There are 28 students in a class. 13 of the students are boys. Two students from the class are chosen at random. a) If the first person chosen is a boy, what is the probability that the second chosen is also a boy? Answer in fraction

Answers

Using the probability concept, it is found that there is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, supposing that the first person chosen is a boy:

There will be 27 students.Of those, 12 are going to be boys.

Hence:

[tex]p = \frac{12}{27} = \frac{4}{9}[/tex]

There is a [tex]\frac{4}{9}[/tex] probability that the second chosen is also a boy.

To learn more about the probability concept, you can take a look at https://brainly.com/question/25967684

Graph the linear equation.
3x - 2y = 6

Answers

Answer:

2x -2y -6 =0. ........

Multiply out and simplify:
3(X-3) + 2(x-5)

Answers

Answer:

5x-19

Step-by-step explanation:

distribute first

3x-9+2x-10

add like terms

5x-19

5x-19 is your answer

PLEASE HELP ME WITH GEOMETRY 15 POINTS

Answers

X=15 because you divide 2 on both sides and get x and 15

*HELP*
Which of the following best describes aspect ratio?
Group of answer choices

A computing error caused by switching two adjacent digits.

An average resulting from the multiplication of each component by a factor reflecting its importance.

An indicator, sign or measure of something.

The ratio of the width to the height of a television screen.

Answers

Answer:  

: a ratio of one dimension to another: such as. a : the ratio of span to mean chord of an airfoil. b : the ratio of the width of a television or motion-picture image to its height.

Step-by-step explanation:

If A : B = 5 : 8 and B : C = 4: 3, A : B : C =??​

Answers

Answer:

A:B:C = 5:8:6

Step-by-step explanation:

You don't have to change A, you only have to change B and C in the second ratio given. First, B is 8 and secondly, B is 4. You can multiply 4 in the second ratio and make it 8, but, remember, always do the same change to the other side too. So, if you change the 4 to 8 by multiplying by 2, multiply 3, which is C, by 2 too. Then, you get B:C as 8:6. Lastly, you get the final answer as 5:8:6.

Can someone help me with number 5 :((

Answers

the answer is 83
a10=11+(10-1)8

mat.................................................

Answers

Answer: it should be B.

Step-by-step explanation:

Answer:

The answer is B. please let me know if I'm wrong.

Have a nice day/night!

Step-by-step explanation:

~King from 7 deadly sins~

Help please guys is this right?

Answers

Answer: Correct, are you dragging the line across?

find the missing side lengths. leave your answers as radicals in simplest form.
u=?
v=?
WILL MARK BRAINLIEST ANSWER​

Answers

Answer:

v = 1

u = 2

Step-by-step explanation:

Given is a special right triangle with angle measures as follows:

90-60-30

The side lengths would be :

2x- x[tex]\sqrt{3}[/tex]-x

in the image it shows that the second side length (the one that sees angle measure 60) is [tex]\sqrt{3}[/tex] from this we can conclude x = 1 so:

v = 1 and

u = 2

SOMEONE PLEASE HELP AND SHOW WORK i will give you brainliest!
Katy invests a total of $26,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 8% loss in the same time period. At the end of one year, the total amount of money gained was $985.00. How much was invested into each account?

Answers

Answer:

Step-by-step explanation:

0.15x-0.08(26,500-x)=98.00

15x-212000+8x=98,500

23x+212000=98,500+212000

23x/23= 310500/23

x = 13500 (was invested in the account that gained 15% )

26500-13500=13000 (was invested in the account that lost 8%.)

Find the value of x.

No links please!

Answers

Answer:

Step-by-step explanation:

tan(26)=42/x hence x=42/tan(26)=86.113

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