A triangle with vertices at A(20, -30), B(10.-15), and C(5,-20) has been dilated with a center of dilation at the origin.
The image of B, point B', has the coordinates (2, -3). What is the scale factor of the dilation?
10
o
5
е
10

Answers

Answer 1

Answer:

scale factor = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Consider the ratio of corresponding coordinates of the image to original, that is

scale factor = [tex]\frac{2}{10}[/tex] = [tex]\frac{-3}{-15}[/tex] = [tex]\frac{1}{5}[/tex]


Related Questions

Simplify (x4y)3. help

Answers

Answer:

the answer would be. 12xy

Answer:

12xy

step-by-step explanation:

Write and solve an equation using the descriptions below.
The sum of 4 and three times a number is 19

Answers

Answer:

5

Step-by-step explanation:

Let x be that number.

4 + 3 × x = 19

4 + 3x = 19

Add -4 on both sides.

4 + 3x - 4 = 19 - 4

3x = 15

Divide both sides by 3.

(3x)/3 = 15/3

x = 5

Answer:

4+3x=19 so, x=5

19-4= 15, 15/3=5 or 5*3=15, 19-15=4.

good luck

50 POINTS TIMED!! Which of the following shows the graph of y = 4x + 3? On a coordinate plane, an exponential function starts at y = 3 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly in quadrant 2. On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly into quadrant 1. On a coordinate plane, an exponential function starts at y = negative 3 in quadrant 3 and then increases rapidly into quadrant 1.

Answers

Answer:

1st Graph

Step-by-step explanation:

Parent Graph of Exponentials: f(x) = a(b)^x + d

Since we are only modifying the base exponent and d (vertical movement), we should see that if we are only moving up and down, that graph 1 is the best choice.

Alternatively, we could graph the equation and choose the best fit:

Answer:

Step-by-step explanation:

 f(x) = a(b)^x + d

Consider the graph of the linear function h(x) = –6 + h(x) equals negative 6 plus StartFraction 2 Over 3 EndFraction x. x. Which quadrant will the graph not go through and why?

Answers

Answer:

2nd quadrant.

Step-by-step explanation:

The given function is

[tex]h(x)=-6+\dfrac{2}{3}x[/tex]

We need to find the quadrant from which the graph of function is not passing.

At x=0,

[tex]h(0)=-6+\dfrac{2}{3}(0)=-6[/tex]

So, y-intercept is (0,-6).

At h(x)=0,

[tex]0=-6+\dfrac{2}{3}x[/tex]

[tex]6=\dfrac{2}{3}x[/tex]

[tex]18=2x[/tex]

[tex]9=x[/tex]

So, x-intercept is (9,0).

It means the graph intersect negative side of y-axis and positive side of x-axis. When we join these two points, we get the graph is not passing through the 2nd quadrant.

Therefore, the required quadrant is 2nd quadrant.

Answer:

Quarderant 2

Step-by-step explanation:

Brainliest, please?

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).

Answers

Answer:

Step-by-step explanation:

R is between (-3) & (-4)

So, R = - 3.5

Answer:

Step-by-step explanation:

R= -3.5

Quinn makes 6 free throws, and Sam makes 3 free throws. what is the ratio?

Answers

Answer:

6:3

Step-by-step explanation:

the ratio of Quinn's throws to Sam's throws would be 6:3

Answer:

2:1

Ratio of Quinn's free throws to Sam's free throws

PLEASE HURRYYYYYYYYYY!!!!!!!!


In OD, AB = CB and marc CE - 52. Find mZBCE. (See picture)

Answers

Answer:

A. 109

Step-by-step explanation:

We know that since AB = CB, then ΔABC is isosceles.

Since AC, one of the sides of ΔABC, is on the diameter of circle D, by definition, we know that ΔABC is also a right triangle. Thus, if ΔABC is an isosceles right triangle, then ∠BAC = ∠BCA = 45°.

Draw a line connecting D to B so that we now have isosceles triangle BDC. Since arc BC is 52°, by definition of central angles, ∠BDC is also equal to 52°. Then, ∠DBC = ∠DCB = (180 - 52)/2 = 64°.

∠BCE = ∠DCB + ∠BCA

∠BCE = 64 + 45 = 109°

The answer is thus A.

~ an aesthetics lover

*ANSWER ASAP PLS* Lucy is covering a box with fabric for a craft festival. If the box is an 8-inch cube, how much fabric does she need? a.)252 sq.in. b.)384 sq.in. c.)240 sq.in.

Answers

Answer: b) 384 sq. in.

Step-by-step explanation:

Surface area of cube = 6a^2

= 6 (8)^2

= 6 x 64

= 384 sq. in.

b. 384

The area of one square on the cube is 8*8=64
There are 6 faces, so 6*64=384

Pls answer 17 and 18 I will give brainist

Answers

Answers:

17. B18. B

Step-by-step explanation:

17. We need to understand what an indirect proof is. In an indirect proof, you prove a statement by showing that the negation of the statement is false.

The "then" part of the conditional is the "to prove" statement.

In an indirect proof, we assume the opposite of what we want to prove, this is also called proof by contradiction.

So if we need to prove angle A is not an obtuse angle, we will assume it is and then use the proof format to show that angle A cannot be obtuse.

The answer is B: Assume angle A is an obtuse angle

18. This question is asking us to use an indirect proof again. The "then" part of the statement is "KL > JK" and is the "to prove" statement.

We need the opposite of this, which would be assuming that KL < JK.

The answer is B: Assume that KL < JKI'm always happy to help :)
17 and 18 are both B hope this helped

The number 99 is increased to 104. What is the percentage by which the number was increased, to the nearest tenth of a percent?

Answers

Answer:

5.1

Step-by-step explanation:

I think im not shure

Answer:

5.05050505....% so about 5.1%

Step-by-step explanation:

Hope this helps!

Which distribution is positively skewed?​

Answers

Answer:

D

Step-by-step explanation:

not positive but i think it would be D

Option C is the distributions are positively skewed.

Since, A distribution that is positively skewed would have the following highlights:

More points on the left, if represented on a dot plot

Tall bars on the left, if represented on a histogram

Whisker on the left, if represented on a box plot

The above means that none of the distributions are positively skewed.

This is so because:

A is negatively skewed because the whisker is at the right

B and C are symmetrical because there are tall bars at the middle

D is positively skewed because the whisker is at the left.

Hence, Option D is the distributions are positively skewed.

Read more about skewness at:

brainly.com/question/24309209

#SPJ2

Trying to find the missing segment to the triangle in the attached image.

Answers

Answer:

36 units.

Step-by-step explanation:

we will use concept of basic proportionality theorem,

it states that , when a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

In a triangle ABC

If  DE is  parallel to BC

D is a point on line AB and E is  point on AC, then

by basic proportionality theorem)

AD/DB = AE/EC

_____________________________________

in the problem  given one side has a parallel line drawn to it

Hence we can use basic proportionality theorem in it

20/30 = 24/?

2/3 = 24/?

=> ? = 24*3/2 = 36

Hence, missing segment value is 36 units.

P(A) = .20 P(B) = .25 P(A and B) = .10 What is P(B given A)

Answers

P(B given A) = P(A and B) / P(A)

P(B given A) = 0.10 / 0.20

P(B given A) = 0.50

HELP ASAP!!!
Describe the shape of the data distribution

Answers

Answer:

negatively skewed

Step-by-step explanation:

This is because the median is on the right hand side

Can you find the missing segment to the triangle in the image

Answers

x/4 = 7/2
2x = 4•7
2x = 28
28/2 = 14
x = 14

(80 pts, pls help!) Using the following sample space: {(G,G), (B,G), (B,G), (B,B)} define the random variable for picking an outcome of green.

Answers

Answer:

X = 1, 2.

Step-by-step explanation:

In the sample space, the most greens you can get are 2. The only other thing with green would be one green in the pair. So, the random variable for picking an outcome of green would be X = 1, 2.

Hope this helps!

Question 19 of 25
2 Points
If a circle is inscribed in a square, which of the following must be true? Check
all that apply.
A. Each vertex of the square lies inside the circle.
B. The circle is tangent to each side of the square.
o C. The square is circumscribed about the circle.
O D. Each vertex of the square lies outside the circle.
O E. The circle is congruent to the square.
SUBMIT

Answers

Answer:

Correct Answers: D,C,B

Step-by-step explanation:

I took the test and got these as the right answers Hope this helped if not I tried

ols help and hurry ASAP Find m4+ 1/m4 , if m− 1/m =3.

Answers

Answer: 257/16

Step-by-step explanation:

You are given the algebraic expression: m^4+ 1/m^4

if m− 1/m = 3

Solve for m by cross multiplying

m - 1 = 3m

Collect the likes terms

3m - m = -1

2m = -1

m = -1/2

Substitutes m into the algebraic expression above.

(- 1/2)^4 + 1/(- 1/2)^4

Open the bracket

1/16 + 1/(1/16)

1/6 + 16

16(1/16) or 257/16

describe the cross-section of the rectangular prism

trapezoid
rectangle
triangle
hexagon

Answers

Answer:

The cross-section of the rectangular prism is a:

rectangle

Step-by-step explanation:

When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.

Figure JUMP is a parallelogram. Which of these is congruent to UM?
A. JP
B. UJ
C. MP
D. UP​

Answers

it would be JP which is A
it’s option A. So it’s JP

Determine the slope of the lines parallel and perpendicular to -4x+3y=11

Answers

Answer:

parallel = 4/3

perpendicular =-3/4

Step-by-step explanation:

Solve for y

-4x+3y=11

Add 4x to each side

3y = 4x+11

Divide by 3

y = 4/3 x +11/3

This is in the form y = mx+b where m is the slope

m =4/3

The parallel line has the same slope

parallel slope is 4/3

The perpendicular line has a negative reciprocal slope

m = -(1 /4/3) = - 3/4

Answer:

[tex]\frac{4}{3}[/tex] and - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 4x + 3y = 11 ( add 4x to both sides )

3y = 4x + 11 ( divide all terms by 3 )

y = [tex]\frac{4}{3}[/tex] x + [tex]\frac{11}{3}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

slope of parallel line = [tex]\frac{4}{3}[/tex]

Give a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{3} }[/tex] = - [tex]\frac{3}{4}[/tex]

Can you help me fill in the blanks

Answers

Answer:

Here is the full proof:

AB || DE  Given

∠B = ∠D  Alternate interior angles theorem

∠A = ∠E   ↑

C is the midpoint of BD Given

BC = CD Definition of midpoint

ΔCBA ≅ ΔBDE    SAA

AC = CE   CPCTC

C is the midpoint of AE  Converse of definition of midpoint

A group of friends decide to buy bulk chocolate from a candy store. If some friends each want 15/13 kilograms of chocolate of the 30 kilograms purchased, then how many people can get a share of chocolate?

Answers

Answer:

Se elas quererem 15, duas pessoas. Mas, se quiserem 13, 2,3076923077

Step-by-step explanation:

30 dividido pra 2 dá 15.

How many integers lie between:
-1.25 and 2.6

Answers

Answer:

4

Step-by-step explanation:

An integer is a number that is not a decimal or a fraction.

The integers that lie between -1.25 and 2.6 are -1, 0, 1, and 2. They are all numbers with no decimal or fraction.

So, there would be 4 numbers that lie between -1.25 and 2.6.

Answer:

1

Step-by-step explanation:

PLEASE HELP! DUE BY MIDNIGHT!

Answers

Answer:

it's over already? or what?

Question 3(Multiple Choice Worth 1 points)

(06.02 LC)


A scatter plot is shown below:


Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 10 at increments of 1 on the y axis. Scatter plot shows ordered pairs 1, 9.1 and 2, 8 and 3, 7.6 and 4, 6.1 and 5, 5 and 6, 4 and 7,4 and 8, 3 and 9, 2.5 and 10, 1.


Which two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot?


(4.5, 10) and (10, 6.5)

(0, 9.8) and (10, 1.2)

(0, 4) and (5, 0)

(0, 6) and (7, 0)

Answers

Answer:

(0,9.8) and (10,1.2)

Step-by-step explanation:

it makes the best line

The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).

Option B is the correct answer.

What is a scatterplot?

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

To determine which two ordered pairs can be joined to draw the most accurate line of best fit for the scatter plot, we need to look for pairs of points that are representative of the overall trend in the data.

We can plot the given points and visually inspect the scatter plot to find the line of best fit.

 10|         o

   |             o

 9 |          o

   |          o

 8 |       o

   |       o

 7 |     o

   |    o

 6 |  o

   |o

 5 |o

   |            o

 4 |       o        o

   |                o

 3 |         o

   |             o

 2 |           o

   |                o

 1 |                o

   |____________________________

     0  1  2  3  4  5  6  7  8  9 10

From the scatter plot, we can see that there is a general downward trend from left to right and that the points are somewhat scattered around this trend.

One possible way to draw the line of best fit is to connect the points (0, 9.8) and (10, 1.2).

This line represents the overall trend in the data and passes close to many of the given points.

Therefore,

The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).

Learn more about scatterplots here:

https://brainly.com/question/7219025

#SPJ3

i need help i cant do this somebody plz A crew of highway workers paved 15 mile in 18 hour. If they work at the same rate, how much will they pave in one hour?

Answers

All you have to do is divide by 18 to find the speed at which they work per hour since they worked 18 hours. Your answer would be 15miles/18hours= 0.83miles per hour

Suppose you roll a number cube. What is the theoretical probability of rolling a 5?

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 possible outcomes when you roll a die

1,2,3,4,5,6

P(5) = number of outcomes with a 5/ total outcomes

        =1/6

Michael Can skateboard 100 feet in 5.4 seconds how fast can Michael skateboard in miles per hour?

Answers

It is equivalent to 12.63 MPH Roughly :)

John cut a paper square with a perimeter of 18 inches into two rectangles. The perimeter of one of the rectangles is 10 inches. What is the perimeter of the second rectangle?

Answers

Answer:

17 inches

Step-by-step explanation:

The original square had sides of 4.5 (18/4)

To get a perimeter of 10, we know that two sides would already equal 9 (4.5+4.5).  That means we only have 1 inch for the other two sides, so they are each 1/2 inch.

That leaves the second rectangle with a length and width of 4.5 and 4.

2(4.5) + 2(4) =

9+8=

17

Answer:

17 in

Step-by-step explanation:

2(4.5) + 2(4)

=9+8

=17

Hope this helps!

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Their complexions too differing so much from ours, their long hair, and the language they spoke, (which was very different from any I had ever heard) united to confirm me in this belief. What were some of the differences Equiano observed between himself and the crew on the slave ship? Identify the parts (include: terms, coefficients, variables andconstants) of the following expression and translate it into averbal expression:2(3x - 2y) + 7 Aspen Ski Resorts has 100 employees, each working 40 hours per week and earning $20 an hour. Although the company does not pay any health or ree tirement benefits, one of the perks of working at Aspen is that employees are allowed freskiing on their days off. Federal income taxes are withheld at 15% and state income taxes at At the beginning of 2016, EZ Tech Company's Accounts Receivable balance was $140,000, and the balance in Allowance for Doubtful Accounts was $2,350 (Cr.). EZ Tech's sales in 2016 were $1,050,000, 80% of which were on credit. 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