A dilation with center O and scale factor r takes A to A' and B to B'. a) Explain how to find the center O b) If AB=6 mm and A'B'= 15mm, calculate the scale factor r. c) Apply the Dilation theorem

Answers

Answer 1

Answer:

A.) Extending the line of multiple of scale factor r on two corresponding vertex

B.) Scale factor r = 2.5

C.) A'B'/AB = 5/2

Step-by-step explanation:

A.) To find the centre O, take a corresponding vertex of the two shapes. Draw a line passing through the the vertex and extending beyond the initial one. The length of the line must be multiplied by the scale factor r

The center of a dilation is a fixed point in the plane in which all points are expanded or contracted.

B.)  If AB=6 mm and A'B'= 15mm,

The scale factor r = 15/6 = 5/2 = 2.5

C.) A'B'/AB = 5/2


Related Questions

Can you help me please

Answers

Answer:

372.6

3Step-by-step explanation:

(5 + 61) - (12 + 71)

Answers

Answer:

-17

Step-by-step explanation:

(5+61)-(12+71)

(66)-(83)

-17

Answer:

-17

Step-by-step explanation:

Look at the attachment

Please help picture included!!

Use the circle to answer the question.
The formula to find the circumference of a circle is C = 2xr. Use 3. 14 for a.
4 in.
What is the approximate circumference of the circle?
A. 6.3 in.
B. 9.1 in.
C. 12.6 in.
D. 25 in.
E. 50.2 in.
o

Answers

I think the answer is C

Which line segment is a diameter of T?

Answers

Answer:

[tex] \overline{UZ}[/tex]

Step-by-step explanation:

[tex] \overline{UZ}[/tex] is passing through the center of the circle with center T. Therefore [tex] \overline{UZ}[/tex] is the diameter

Answer:

Line UZ

Step-by-step explanation:

This is Beacause Line UZ passes thru T which is the center of the circle.

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Hope it Helps, Pls Mark as Brainliest!!


What is the area of the figure?

PLS HELP ME THIS IS DUE TMR !

Answers

Answer:

53 in^2

Step-by-step explanation:

We can find the area of the large rectangle, without the piece missing

A = l*w

A = 7*8 = 56

Now find the area of the piece that is missing

A = l*w

A = 1*3 =3

Take the large rectangle and subtract the piece that is missing

56-3

53

m = 0.25k + 5
OLinear Function
O NON-linear Function

Answers

Answer:

OLinear Function

Step-by-step explanation:

In general ,A linear function has the form y = ax + b

so ,the function :

m = 0.25k + 5  is linear .

We just changed

m to y

x to k

a to 0.25

b to 5

Mary delivers 32 newspapers to her customers in 25 minutes. These deliveries represent 64% of her customers.

How many customers does Mary have?

16

20

50

57

Answers

So the right answer is 50

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer: 50,

Step-by-step explanation:

64/100x = 32

X = 32 /0.64

Solve for x.

-30 = 5(x+1)​

Answers

Answer:

−30=5(x+1)

Step 1: Simplify both sides of the equation.

−30=5(x+1)

−30=(5)(x)+(5)(1)(Distribute)

−30=5x+5

Step 2: Flip the equation.

5x+5=−30

Step 3: Subtract 5 from both sides.

5x+5−5=−30−5

5x=−35

Step 4: Divide both sides by 5.

5x5=−355

x=−7

Answer:

x=−7

Answer:

x = -7

Step-by-step explanation:

Since this problem has the distributive property, we can simplify the problem.

-30 = 5x + 5

Now we have to subtract 5 from both sides because of the +5.

-35 = 5x

To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.

-7 = x

x = -7

simplify the following expression 2[(7-3)^4 divided by 8] SHOW YOUR WORK!
someone pls help

Answers

Answer:

64

Step-by-step explanation:

2(7-3)^4 divided by 8

2(4)^4 divided by 8

2(256) divided by 8

512 divided by 8

64

Answer:

64

Step-by-step explanation:

2[(7-3)^4 divided by 8]

2[4^4 divided by 8]

2[256 ÷ 8]

2(32)

64

1 Beverly investe $18,000n an account that pays 5% annual simple interest. Beverly win
not make any additional deposits or withdrawals. How much interest Will Beverly earn on
her investment at the end of 5 years​

Answers

Answer:

She'll earn $4973.07 coming to an amount of $22,973.07

Step-by-step explanation:

Help please

0.3 [. ] 0.4
What is the decimal
<,> or =

Answers

The answer to that is

What is the area of the shaded sector of the circle?
162n square units
27n square units
81n square units
9n square units

Answers

Answer:

area if sector= teeta. ×πr²

360

120°. ×22×9×9

360. 7

3×1782

7

5346

Answer:

B). 27 units^2

Step-by-step explanation:

2022

find: (6m^5+3-m^3-4m)-m^5+2m^3-4m+6)

PLEASE HURRY!

Answers

Answer:

The answer is 7m5 - 3m3 - 3

Answer: 7m^5-3m^3+0m-3

Step-by-step explanation:

I just did the problem and got the correct answer. Note that this answer only applies to this exact question the correct answer to the equation is 7m^5-3m^3-3.

How do we find the area of this shape?

Answers

What you have to do is find the area of the whole rectangle, then subtract of the empty parts:

50*48-0.5(50-41)(48)-6.5(pi(5/2)^2)-1.5pi(4^2)-pi(5^2)-pi=1899.293mm^2

Explanation:

The first subtraction is the area of the triangle.  The rest are the combined areas of the circles and semicircles (semicircles are just half the area of a circle)

Answer:

1899.293mm^2


There are 33 children in the class. 22 of the
children are girls. What fraction of the class are
girls?

Answers

Answer:

2/3 of the class are girls.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

hope this helps

URGENT PLEASE HELP
Points j and k, plotted on the coordinate grid, are 2 vertices of rectangle j,k,l,m. Rectangle j,k,l,m has an area of 7 square units. Point j is located at (2,1) and point k is located at (-5,1) each vertex of the rectangle is located at a point that had integer coordinates. Which could be another vertex of the rectangle?
A: (-5,0)
B: (-5,2)
C: (1,1)
D: (2,-6)
E: (2,0)
F: (9,1)
G: (2,2)

Answers

Answer:

16 square unitsStep-by-step

Step-by-step explanation:

What is the value of the expression when n = 3?
-2n(5+n - 8 -3n)

Answers

Answer:

54

Step-by-step explanation:

Answer:54

Step-by-step explanation:

-2(3)(5+3 - 8 -3(3)=54

Hope I helped:D

Use the order of operations to evaluate the expression. 4 × ( 3 4 − 1 2 ) + 3 × 6 A. 19 B. 20 1 2 C. 24 D. 33

Answers

Answer:

106

Step-by-step explanation:

4 × ( 3 4 − 1 2 ) + 3 × 6

PEMDAS

Parentheses first

4 × ( 22 ) + 3 × 6

Multiply next

88 +18

Add

106

Answer:

the answer is: A. 19

Step-by-step explanation:

I think he or she was trying his or her best or they might not understand favorite and rate for them

Look at the pic in the corner it’s math

Answers

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.

Which of the following is not an identity?
O A. 2cos2x-1 = 1 - 2sin2x
O B. secx cscx(tanx + cotx) = sec2x + csc2x
O C. 2sin?x- sinx = 1
D. sin2x + tan2x + cos2x = secax

Answers

Answer:

C. 2 sin^2x-sinx=1

Step-by-step explanation:

a p e c

2sin^2 - x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.

Out of Four options are given, which of them is not an identity is to be determined.

What is identity?

An identity is the common case formula that helps to solve mathematics.

1)

[tex]2cos^2x-1 = 1 - 2 sin^2x\\ \\cos2x =cos2x[/tex]

It is also a perfect identity.

2)

[tex]secx cscx(tanx+ cotx) = sec^2x + csc^2x\\\\\\sec x cscx (sinx/cos x + cosx/sinx) = sec^2 + csc^2x\\\\secx cscx (sin^x+cox^2x/cosxsinx) = sec^2x +csc^2x[/tex]

     It is also not an identity.

3) 2sin^2-X- Sinx=1

It's not an identity cause it is form of equation and contain -x.

4)

[tex]sin^2x+ tan^2x + cos^2x = sec^2x\\ sin^2x + cos^2x = sec^2x -tan^2x = 1[/tex]

It is a perfect identity.

Thus, 2sin^2- x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.

Learn more about identity here:

brainly.com/question/6971003

#SPJ5

I really need help and I would greatly appreciate it

Answers

Answer:

a.  15.78

3/19 × 100% = 15.78

    b. 7

12-5 = 7

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

  c. 8

because 8 divides the age group making half the people younger than this age and half are older

2 . a - highest point is 8.7

     c . georgina did better then half of the other gymnists which can be seen because the highest point is 8.7 where there are many who 7.7

mark brainliest pls

Your watch stops at 4 PM on Monday. How many hours and minutes would it be off at 5:30 PM. Tuesday?

Answers

Answer:

25 1/2

Step-by-step explanation:

Answer:

1530 minutes

Step-by-step explanation:

1440 =24 × 60

90= 1.5×60

1440+90=1530

Please help with this

Answers

Answer:

B

Step-by-step explanation:

I used the quadratic formula

Answer:

B

Step-by-step explanation:

Given

(x + 5)² = 48 ( take the square root of both sides )

x + 5 = ± [tex]\sqrt{48}[/tex] = ± [tex]\sqrt{16(3)}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( subtract 5 from both sides )

x = - 5 ± 4[tex]\sqrt{3}[/tex] → B

On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0). Which statement is true regarding the functions on the graph? f(2) = g(2) f(0) = g(0) f(2) = g(0) f(0) = g(2)

Answers

Answer:

a

Step-by-step explanation:

because the lines crossover at to and in the parentheses so the x is it which makes a right.

The statement that is true regarding the functions on the graph is that  f(2) = g(2).

What is a graph functions?

Graphing functions is known to be the drawing of any curve that shows the function that can be seen on the coordinate plane.

Note that If a curve (graph) stands for a function, then all the point on the curve is one that satisfies the equation of the function.

Note that  the linear function Since the x - axis starts with 2 it is also true to say that the y axis will also have a positive value and as such, The statement that is true regarding the functions on the graph is that  f(2) = g(2).

Learn more about graph functions from

https://brainly.com/question/4025726

#SPJ9

Kim's furniture store is offering a 40% discount on all its armchairs. Using a proportion, find the discount of the price of an armchair that originally cost $489.00. A. $489.40 B. $190.71 C. $195.60 D. $293.40

Answers

Answer:

Your answer is C.

Step-by-step explanation:

[tex]\frac{40}{100} = .4[/tex]

To find the the discount, you need to multiply the original price by the percentage.

[tex]489 *.4 = 195.6[/tex]

The discount of the chair would be [tex]195.6[/tex]

Use the Means-Extremes Property to solve for x. 57 =9x x =

Answers

Answer:

x = 12.6

Step-by-step explanation:

When you have one fraction equated to another one, the means-extremes property allows you to cross multiply, as follows:

[tex]\frac{a}{b} = \frac{c}{d} [/tex]

can be rewritten as:

a*d = c*b

For this case:

[tex]\frac{5}{7} = \frac{9}{x} [/tex]

5*x = 7*9

x = 63/5

x = 12.6

What is the solution to the inequality |X-4 <3?
0 -7 O 1 X<-7 or x<-1
O x> 1 or x<7

Answers

Answer:

|X - 4| < 3 is equivalent to 1 < X < 7.

Step-by-step explanation:

Given

|X - 4| < 3

Required

Solution of the inequality

The options are not properly presented. However, I'll solve the question without considering the options.

To simplify the given inequality, it's worth knowing that the absolute function of any inequality returns the positive form of any value it takes (whether negative or positive).

Since, we've understood that the absolute can take negative of positive, the above inequality can take the following form

-3 < X - 4 < 3

Add 4 through

4 - 3 < X - 4 + 4 < 3 + 4

1 < X < 7.

Hence, |X - 4| < 3 is equivalent to 1 < X < 7.

Can someone please help me? Find the number of square units in base and height for the three triangles.

Answers

Answer:

A:

10

For the rest it got confusing sorry : /

Step-by-step explanation:

Ben makes $39,600 a year. What the maximum amount he can afford for a mortgage each month ?

Answers

Answer:825

Step-by-step explanation:

The population of browns burg is 25000. In ten years, it is expected to grow by 8.5%. How many people will live there in ten years?

Answers

25000 x 1.085 = 27125

27125 people will live in Browns burg in ten years.
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