Triangle A'B'C' is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows the correct relationship between AABC
and A'B'C'?

Triangle A'B'C' Is Formed By A Reflection Over X = 1 And Dilation By A Scale Factor Of 2 From The Origin.

Answers

Answer 1

Answer:

[tex]\frac{AB}{A"B"}=\frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]k = 2[/tex] --- scale factor

Required

Relationship between ABC and A"B"C"

[tex]k = 2[/tex] implies that the sides of A"B"C" are bigger than ABC

i.e.

[tex]A"B" = 2AB[/tex]

[tex]A"C" = 2AC[/tex]

[tex]B"C" = 2BC[/tex]

In [tex]A"B" = 2AB[/tex]

Divide both sides by A"B"

[tex]1 = \frac{2AB}{A"B"}[/tex]

Divide both sides by 2

[tex]\frac{1}{2} = \frac{AB}{A"B"}[/tex]

Rewrite as:

[tex]\frac{AB}{A"B"}=\frac{1}{2}[/tex]

(a) is correct


Related Questions

A die is rolled 5 times and a 5 or 6 is considered a success. Find the peobability of no success

Answers

Answer:

0.1317 = 13.17% probability of no successes.

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either there is a success, or there is not. The probability of a success on a toss is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A die is rolled 5 times.

This means that [tex]n = 5[/tex]

5 or 6 is considered a success.

2 out of 6 sides are successes, so:

[tex]p = \frac{2}{6} = 0.3333[/tex]

Find the probability of no success:

This is P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.3333)^{0}.(0.6667)^{5} = 0.1317[/tex]

0.1317 = 13.17% probability of no successes.

a cargo shiip usually travels at the speed of 24 km/h for its usual 55 km trip. This time bad weather forced the ship to slow down to 18 km/h for the first hour. What should the ships speed be for the rest of the trip in order to arrive on time.

Answers

Answer:

27km/h

Step-by-step explanation:

Which of the following best describes the relationship between angle a and angle bin the image below?

Answers

They are adjacent angles.

HELP!! Image inculded

Answers

Answer:

B.

[tex] \frac{ - 3}{ {x}^{2} - 5x + 6 }[/tex]

hope it helps

4. How many square feet of carpet are
needed?
The floor plan below shows the Green family's
basement
28 ft.
12 ft.
121
6 ft.
5 ft.
5 ft.
11 ft.
11 ft.

Answers

Answer:

Step-by-step explanation:

It is a  28×12 rectangle, minus a 5×6 cutout.

area of 28×12 rectangle = 336 ft²

area of 5×6 cutout = 30 ft²

area of carpet = 336-30 = 330 ft²

Paragraph to write to my girl?????

Answers

Answer:

You make me feel like I can do anything and I am so happy to be with you. Thank you for being the wonderful, amazing person that you are. You surprise me every day and you warm my heart every night. I am the person I am today because you've loved me and helped me, love.


Determine the domain of the function graphed above.

Answers

Answer:

the domain of given f is (-2,4)

B. Urhrherhrhhejjrheheheueiejebe

Rohit thinks of a 4 digit number. The digit in the one’s place is 3 more than the digit in the ten’s place, but 5 less than the digit in the thousand’s place. The value of the hundred’s place is 600. The digit in thousand’s place is the greatest odd number. What is the number Rohit is thinking of?

Answers

Answer:

9614

Step-by-step explanation:

Generic number with 4 digit

1000t + 100h + 10y + x

x = 3 + y

x = m - 5

h = 6

m = 9

if we substitute the value we have:

x = 9 - 5 = 4

4 = 3 + y

y = 1

Final number

9614

2. Determine the number of all possible diagonals drawn for polygon having a. 7 sides b. 10 sides c. n - sides​

Answers

Answer:

the number of diagonals can be found by n *n minus 3 by 2

a) the number of all possible diagonals drawn for having 7 side = 14 diagonals

b) the number of all possible diagonals drawn for having 10 side=35 diagonals

what is the distance in the image below?

Answers

The distance is:

5 + 3 = 8 units

Since the segment is completely horizontal we need not to use formula for computing the length of a segment in 2D euclidean space.

Instead we can simplify the problem to a single dimension, only considering the x-coordinates of the endpoints of the segment.

The x-coordinates are -5 and 3.

Subtracting and applying absolute value yields the answer,

[tex]\mathrm{abs}(-5-3)=\boxed{8}[/tex].

Hope this helps.

the good construction slithers 3/9 kilometers in 3/6 hours . wat is it's speed in terms of kilometers per hour ? ​

Answers

Answer:

The speed in terms of kilometers per hour is 0.666 km / h.

Step-by-step explanation:

Given that the good construction slithers 3/9 kilometers in 3/6 hours, to determine what is it's speed in terms of kilometers per hour, the following calculation must be performed:

3/9 = 0.333 km

3/6 = 0.5 hours

0.666 km / h

Therefore, the speed in terms of kilometers per hour is 0.666 km / h.

indicate the following pairs of lines are coinciding, parallel ,perpendicular or neither

Answers

1: coinciding
2: neither, they intersect but they are not parallel, perpendicular, or coinciding
3: perpendicular

Can someone just check my answers please? Please let me know which questions are wrong. Thank you for your time.

Answers

Answers:

1 liter of acid4 liters of water

You got the first question correct, but the second one is wrong. The two values must add up to 5.

===================================================

Explanation:

We're told that 20% of this solution is acid. We have 5 liters total, so

20% of 5 = 0.20*5 = 1

Meaning there's 1 liter of pure acid in this solution.

The remaining 5-1 = 4 liters of the solution is water

Or you could note that if 20% is pure acid, then the remaining 80% is water

80% of 5 = 0.80*5 = 4

------------------

Another approach is to realize that 20% is the same as the fraction 1/5

So if 1/5 of the mix is pure acid, and we have 5 liters of the solution, then we must have 1 liter of pure acid

(1 liter of pure acid)/(5 liters of solution) = 1/5 = 20% acid solution

Answer:

I think they all look pretty good for the most part

Hello
Kb here just need help finding out this question I love this app thanks for all the help !

Answers

Answer:  1yd

Step-by-step explanation:well its basiclly 2-1!

How would I draw the reflection over the line y=2x+5?

Answers

Answer:

Step-by-step explanation:

from the given illustration at the right the law of sines cannot be used since

Answers

Answer:

D. No angle opposite the sides is given

Step-by-step explanation:

Given

See attachment for triangle

Required

Why the law of sines cannot be used

From the attached image of a triangle, we can see that all sides are given while none of the angles are given.

Since none of the angles are given, then law of sines doesn't apply

HELPPPPPPP PLEASEEEEEEE

Answers

Answer:

150 dollars. if I am wrong correct me

Answer:

C and D

Step-by-step explanation:

15 to 30 galons at $9.95 to $21.00

the minimum amount can be found by calculating the minimum amount sold at a minimum price 15*9.95 = $149.25

the maximum amount can be found by calculating the maximum amount sold at a maximum price 30*21 = $630

there are 2 choices that are between 149.25 and 630, C, and D

una fuerza constante F de magnitud igual a 3lb se aplica al bloque que se muestra en la figura. F tiene la misma dirección que el vector a= 3i + 4j. determine el trabajo realizado en la dirección de movimiento si el bloque se mueve de P1 (3, 1) a P2 (9, 3). Suponga que la distancia se mide en pies.

Answers

Uh is that Spanish? Bc I can’t speak Spanish

Find the circumference of a circle in terms of u with a radius of 10 ft.
100n ft
10 ft
5 ft
62.87 ft
20 ft

Answers

Answer:

[tex]2 \times \frac{22}{7} \times 10 = 62.87 [/tex]

The sum of four consecutive integers is equal to three times the smallest number. What is the sum of the four integers?

Answers

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Let the four consecutive integers be x, (x + 1), (x + 2) & (x + 3)

Smallest integer = x

According to the given condition:

[tex]x + (x + 1) + (x + 2) + (x + 3) = 3x \\ \\ 4x + 6 = 3x \\ \\ 4x - 3x = - 6 \\ \\ x = - 6 \\ \\ Sum\: of\: the\:integers \\=4x + 6 = 4( - 6) + 6 \\ \\ = - 24 + 6 \\ \\ = - 18[/tex]

A cylindrical jug that carries 2ℓ of water when it is filled to the brim has a base surface with a diameter of 8cm. What is the length of the jug in cm, rounded to two decimal places?

Answers

Answer:

39.79 cm

Step-by-step explanation:

a few things to make sure :

1 liter = 1 dm³ (a cube of 10cm length of edges) =

= 10×10×10 = 1000 cm³

the volume of a cylinder is

base area × height (or length, as it is called in this question).

and the base area is a circle

area = pi×r²

and r (radius) is half of the diameter.

so, we know r = diameter/2 = 4cm

and the volume is 2 liter = 2 dm³ = 2000 cm³

so, we have

2000 = pi×r² × length = pi×4² × length = pi×16 × length

length = 2000 / (pi × 16) cm = 125 / pi cm =

= 39.79 cm

Convert 45 minutes to seconds. There are seconds in 45 minutes (Simplify your answer.) how many seconds are in 45 minutes

Answers

answer:2700sec

Step-by-step explanation:

if 60 sec=min

therefore;60×45

TZ is a midsegment, which of the following statements CANNOT be true

Answers

Answer:

Option C: QT < TR

Step-by-step explanation:

From the triangle, we can see that UX bisects RS into two equal parts and so it is a perpendicular bisector.

TZ Is a mid segment and it means that T bisects QR into 2 equal parts as well as QS into 2 equal parts.

Thus;

QT = QR

And QZ = SZ

So Option C is not correct because QT = QR

Anyone know this question?

Answers

‘All of these’

F(x) is the same as saying y

Let me know

Question 4*
4. Sam's goal is to exercise for 400 minutes each
week. This week, he reached 128% of his goal.
How many minutes did he exercise?

Answers

Answer: Get at least 150 minutes of moderate aerobic activity or 75 minutes of vigorous aerobic activity a week, or a combination of moderate and vigorous activity. The guidelines suggest that you spread out this exercise during the course of a week. Greater amounts of exercise will provide even greater health benefit.

Step-by-step explanation:

If Sam reached 128% of his goal to exercise each week, he would have exercised for 512 minutes.

How many minutes did Sam exercise this week?

Given the parameters:

Sam's goal is to exercise for 400 minutes each week.

This week, he reached 128% of his goal.

The number of minutes =?

To determine how many minutes Sam exercised this week, we simply calculate 128% of his goal.

Number of minutes = 128% × Sam's goal of exercise

Number of minutes = 128% × 400 minutes

Note that: 128% = 128/100

Number of minutes = 128/100 × 400 minutes

Number of minutes = 128 × 4 minutes

Number of minutes = 512 minutes

Therefore, Sam exercised for 512 minutes this week.

Learn more about Percentages here: https://brainly.com/question/14103344

#SPJ3

someone help me translate this word phrase into a mathematical expression xd .. pleash help :3

15 multiplied by -9 first, then 7 subtracted from that total

Answers

Answer:

15 multiplied by -9 first, then 7 subtracted from that total{15(-9)}-7

hope it helps...stay safe healthy and happy.

Answer:

15x(-9)-7

Step-by-step explanation:

it has been translated

please help please help​

Answers

Answer:

1. 3

2. D

3. KE

4. B

5. A

Step-by-step explanation:

those should be your answers

Answer:

1. 3

2. D

3. E and K

4. B

5. A

negative integers lie on the negative side of the number line(usually having a minus sign in front of them)

positive ones lie on the positive side( usually have no signs in front of them)


Work out the surface area of this sphere.
Give your answer to 1 decimal place.
Spheres
Surface area =
4tr?
6 cm

Answers

Answer:

452.2 cm

Step-by-step explanation:

A = 4πr²

A = 4 (3.14) (6)²

A = 4 (3.14) (36)

A = 452.16

A = 452.2 cm (nearest tenth)

if a plane can travel 500 miles per hour with wind and 400 miles per hour against the wind find the speed of the plane with out a wind and speed of the wind.​

Answers

Answer: hello there here is your answer:

Still air speed:450 mph.

Step-by-step explanation:

500-450=450-400=50 mph

Still air speed:450 mph. Wind speed:50 mph..

hope this help have a good day

What is the product (4.42 x 103)(5 x 10^) written in
scientific notation?

Answers

Answer:

2.2763 x 10 to the power of 4

for some reason it doesn't let me put in the explanation

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