triangle abc was dilated from the orgin by a scale factor of 2 to create triangle A’B’C’ which statement explains why the triangles are similar ?

Answers

Answer 1

Answer:ABC was dilated from the origin by a scale factor of 2 to create Delta A'B'C' . Which statement explains why the triangles are similar? Dilations preserve side length; therefore, the corresponding sides of Delta ABC and Delta A'B'C' are congruent.

Step-by-step explanation:Googel


Related Questions

For what values of k

Answers

If y = cos(kt), then its first two derivatives are

y' = -k sin(kt)

y'' = -k² cos(kt)

Substituting y and y'' into 49y'' = -16y gives

-49k² cos(kt) = -15 cos(kt)

⇒   49k² = 15

⇒   k² = 15/49

⇒   k = ±√15/7

Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.

A buyer of a new sedan can custom order the car by choosing from 5
different exterior colors, 3 different interior colors, 2 sound systems, 3
motor designs, and either manual or automatic transmission. How many
choices does the buyer have? /(10 pts)

Answers

Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this question:

The options are independent.There are 5 different exterior colors, hence [tex]n_1 = 5[/tex].There are 3 different interior colors, hence [tex]n_2 = 3[/tex].There are 2 sound systems, hence [tex]n_3 = 2[/tex].There are 3 motor designs, hence [tex]n_4 = 3[/tex].There are 2 transmission options, hence [tex]n_5 = 2[/tex].

Then:

[tex]N = 5 \times 3 \times 2 \times 3 \times 2 = 180[/tex]

The buyer has 180 choices.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/25799621

Car A travels 115 miles on 5 gallons of gas. Car B 126 miles on 6 gallons of gas. How can you find which car gets better gas mileage?

Answers

5 gallons of gas is better than thanks

How do you solve radical word problems

Answers

Answer:

1) Isolate the radical symbol on one side of the equation

2) Square both sides of the equation to eliminate the radical symbol

3) Solve the equation that comes out after the squaring process

4) Check your answers with the original equation to avoid extraneous values

Step-by-step explanation:

Which of the following shows the prime factorization of 200 using exponential notation?​

Answers

Answer:

As we use prime factorization for 200, we get 2 × 2 × 2 × 5 × 5 = 200.

A line with a slope of 1 passes through the point (5, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=1x-8

Step-by-step explanation:

Lets do the same thing we did last time

-3=1(5)+?

-3=5+?

The y intercept is -8

CHECK:

-3=1(5)+-8

-3=5+-8

-3=-3

Answer:

y=x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1(x-5)

y+3=x-5

y=x-5-3

y=x-8

Evan made a tower from 32 building blocks. Aisha made a tower using 5 times as many blocks. How many blocks did Aisha use to make her tower?

Answers

Answer:

160

Step-by-step explanation:

32×5 is 60 hope that helps

Ali caught a fish that weighed 9 1/2 lb. Lisa caught a fish that weighed 5 3/4 lb. How much more did Ali’s fish weigh?

Answers

Answer: the answer is 3 3/4

9.5-5.75=3.75. brainliest please!!!

Help help help help help please please

Answers

Answer:

Angle 8

Step-by-step explanation:

Refer to the attached picture

Evaluate the given expression for x = 4.
x? + 5x - 8

Answers

Answer:

16

Step-by-step explanation:

[tex]x = 4 \\ 4 + 5(4) - 8 = 16[/tex]

There is a line that includes the point (1,6) and has a slope of 4. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=4x+2

Step-by-step explanation:

So we start with the slope, which is bad.

But I have an idea

lets write it as

y=4x+? and since x=1 and y=6

6=4+?

Therefore, the y, intercept must be two

Answer:

y=4x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-6=4(x-1)

y=4x-4+6

y=4x+2

A cart is slowing down at a rate of 2t + 60 centimeters per second per
second (where t is the time in seconds).
By how many centimeters per second does does the cart slow
down between seconds 5 and 15?

Answers

The cart slows that at the rate of 20cm/s between 5 and 15secs

Given the rate function expressed as:

r(t) = 2t + 60

If the time is t = 5

r(5) = 2(5) + 60

r(5) = 70cm/s

If the time is t = 15

r(15) = 2(15) + 60

r(15) = 90cm/s

Taking the difference in rate;

Difference = 90cm.s - 70cm/s

Difference = 20cm/s

Hence the cart slows that at the rate of 20cm/s between 5 and 15secs

Learn more on rate of functions here:

https://brainly.com/question/13516577

The sum of 7/8 of a number and 20 is 34 at minimum

Answers

Answer:

7/8x ≥ 14

Step-by-step explanation:

(sum means addition in case you forgot)

You would start by writing 7/8x + 20 ≥ 34

You would then subtract 20 from both sides to isolate the variable x.

You would then have 7/8x ≥  14

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 59 kilograms. A
delivery of large boxes and 4 small boxes has a total weight of 149 kilograms. How much does each type of box weigh?
a

Answers

See the picture attached

A
B
(7y+9)
If
2yº
04
с
What’s m

Answers

Answer:

acute angles A and C are 38°obtuse angles B and D are 142°

Step-by-step explanation:

We assume the figure is a parallelogram, so the sum of the marked angles is 180°.

  2y +(7y +9) = 180

  9y +9 = 180 . . . . . . . simplify

  y +1 = 20 . . . . . . . . . divide by 9

  y = 19

m∠BCD = 2y° = 38°

m∠ABC = (7y+9)° = (7·19 +9)° = 142°

What is (are) the x-value(s) that solve the system of equations y = x and y = 2x – 1?

Answers

Answer:

y=1                 x=1

y = 2x – 1

replace y with x

x=2x-1

x-2x =  - 1

-x = -1

x= 1

y=x =1

What is the solution to -4|-2x + 6|= -24?
O x=0
O x=0 or x = -6
O x= 0 or x = 6
O no solution

Answers

Answer:

x=0 or x=6

Step-by-step explanation:

-4|-2x+6| = -24

|-2x+6| = 6

-2x+6 = 6

-2x = 0

x = 0

-2x+6 = -6

-2x = -12

x = 6

Therefore, x=0 or x=6

A polynomial function has a zero at x = 1 with a multiplicity of 3 and a zero at x = -2 with a multiplicity of 1. The y – intercept for the function is (0, -8). Write an equation for this polynomial.

Answers

Answer:

  f(x) = 4(x -1)^3·(x +2)

Step-by-step explanation:

Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.

  f(x) = a(x -1)^3·(x +2)

  f(0) = a(-1)^3·2 = -2a = -8   ⇒   a = 4

The factored form of the equation is ...

  f(x) = 4(x -1)^3·(x +2)

Carter has a rope that is 6 meters long. He cuts the rope in half. Then he cuts one of the halves into pieces that are 1-third meter each.

Answers

He would have 4 pieces of rope

You would have 9, 1/3 meter pieces. ??

In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as
77.2 years for men and 85 years for women. Calculate how much longer, on average, U.S. women live than men in
seconds.
Express your answer in seconds.

Answers

Answer:

7.8

Step-by-step explanation:

subtract 85 - 77.2

if SOMEONE MAKE 4 SMOOTHIES WITH A RATION OF 2;3 WHAT IS AN EQUIVALENT RATIO

Answers

Answer:

8 smoothies: 4:6

2 smoothies: 1:1.5, etc.

Please help me in this 4th grader question, i was sick over the weekend

Answers

Answer:

[tex] = 825 - 657 \\ = 168answer.[/tex]

Step-by-step explanation:

MARK ME AS A BRAINLIST PLZ

Answer:

825 - 657 = 168

This is the answer, hope it helps you!!

1. There are 2 hiking trails in Watkins Park. The Spicebush Trail is 2.7 miles and the Loop Trail is 1.7 miles. If you hiked both trails, how many miles would you walk?

2. On your hike, you brought 1.7 pounds of almond trail mix and 1.4 pounds of cashew trail mix. How much trail mix do you have all together?

3. At the end of the hike you still had 2 pounds of trail mix left. How much trail mix did you at on the hike?

4. Solve these decimal addition and subtraction problems with your base-10 blocks or a number line:

5.3 + 7.4



2.45 + 3.95



2.5 – 1.3



4.12 – 2.80

Answers

1. Add 2.7 and 1.7 together to discover the total amount

2.7 + 1.7 = 4.4

You would walk 4.4 miles if you walked both trials.  

2. Add the amounts of both trail mixes together

1.7 + 1.4 = 3.1

There were 3.1 pounds of trail mix brought on the hiking trip

3. Subtract answer from 2 by 2 and recieve the answer for this question

3.1 - 2 = 1.1

There were 1.1 pounds of trail mix eaten on this hiking trip

4. Answers:

12.7

6.40

1.2

1.32

what is (3×100)+(1×110)+(4×11,000) in decimal form

Answers

It is 44,410 thanks

Which of the following is described below?
This object goes forever in opposite
directions. It is infinitely skinny, as it is a
set of points that are all lined up.
A. Point
B. Line
C. Ray
D. Segment

Answers

Answer:

B. line

Step-by-step explanation:

A line would fit this description best. A ray wouldnt work because it goes on infinitely in one direction. A point wouldnt work because it is a dot that marks a location, and a segment is bound by 2 points, and cannot go on forever.

The given description would be best fitting to a "line", which is the correct answer would be an option (B).

What is the line?

A Line is formed by a set of points traveling in a straight line but in opposite directions. It has no breadth, no depth (curvature), and no termination, which implies 'it will not finish,' hence it moves in a straight line in opposing directions indefinitely.

This object goes forever in opposite directions. It is infinitely skinny, as it is a set of points that are all lined up.

This description would be best suited to a line.

A ray would not operate since it extends in one direction indefinitely. A point would not work since it is a dot that indicates a position, but a segment is constrained by two points and cannot continue indefinitely.

Hence, the correct answer would be an option (B).

Learn more about the Slope of the Line here:

brainly.com/question/14511992

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Betty had 1 1/4 hours to finish a test. She was nervous and it took her 1/2 an hour to calm down. How much time did she have left to finish the test? Express the answer as a mixed number.

Answers

Answer:

Betty had 45 minutes to take her test in mixed number form it is

Step-by-step explanation:

1 hour

1/4 an hour = 15 minutes

1/2 an hour is 30 minutes

1 hr 15- 30= 45

45= 3/4 of and hour remaining to test

3n + 6n -4 = 2n + 2 + 5n​

Answers

Answer:

3n +6n-4=2n+2+5n

9n-4=7n+2

9n-7n=2+4

2n=6

n=6÷2

n=3

Find the perimeter of the rectangle

Answers

Answer:

70

Step-by-step explanation:

Find the perimeter of the rectangle

add the lengths of the rectangle's four sides

24 + 11 + 24 + 11 = 70

Can somebody please find the value of x for me

Answers

Use midpoint theorem :- The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also 'half of the length of the third side'.

So,

2x = ½ (x + 9)

2x = ½(x) + ½(9)

2x - ½x = 9/2

3/2x = 9/2

x = 9/3

x = 3

____

Hope it helps ⚜

Need help with math problem 5 stars and good rating if do

Answers

Answer:

Bottom right

Explanation:

visualize both triangle connected to the middle rectangle, and that's a triangular prism

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