George is given two circles, circle O and circle X, as shown. If he wants to
prove that the two circles are similar, what would be the correct second step
in his proof?
Given: The radius of circle O is r, and the radius of circle Xis t.
Prove: Circle Ois similar to circle X.
1.c - 2sr and C'- 2rr' by the definition of circumference.
2.
3. d= 2rand d = 2 by the definition of diameter.
4. d 2r and d ;by the division property of equality.
5.2 and by the substitution property.
d'-2r
6. Circle Ois similar to circle Xbecause all the linear dimensions are in the
same proportion.
(

George Is Given Two Circles, Circle O And Circle X, As Shown. If He Wants Toprove That The Two Circles

Answers

Answer 1

Answer:

B the division one

Step-by-step explanation:

Answer 2

The solution is, : B.) The correct second step for the given proof is;

C/C' = 2πr/2πr' and, C/C' = r/r'

by the division property of equality.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Explanation:

We want to find the correct second step for the given proof.

Recall that from division property of equality, when we have;

a=b and c=d, dividing the equations by each other, the equation will still be equal;

a/c = b/ d

For the given Prove;

statement 1 states that the circumference circle 1 and 2 can be expressed as;

C = 2πr and, C' = 2πr'  

So, for step 2;

Applying the division property of equality, we have;

C/C' = 2πr/2πr'

which then equals,

C/C' = r/r'

Therefore, the correct second step for the given proof is;

C/C' = 2πr/2πr' and, C/C' = r/r'

by the division property of equality.

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Related Questions

WILL GIVE BRAINLEST PLZZ HELP MEEE

Answers

Answer:

2

Step-by-step explanation:

(x,y)

Give the domain and range of a standard square root function.


Answers

Answer:

I think the answer is the second option, x >= 0, y>=0

Step-by-step explanation:

I searched it up and the results said that this was the answer.

a. A bag contains 7 b l u e marbles, 10 g r e e n marbles, and 5 r e d marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a b l u e marble and then a r e d marble

Answers

7 + 10 + 5 = 22 total marbles.

Picking a blue one first would be 7 blue/22 total = 7/22

Picking a red one would be 5 red / 22 total = 5/22

Picking blue first and then red = 7/22 x 5/22 = 35/484

the substitution method.
y = -4x + 15
-4x + 7y = 9

Answers

Answer: {y,x} = {3,3}

Step-by-step explanation:

1] y=-4x+15

[2] -4x+7y=9

Equations Simplified or Rearranged :

[1] y + 4x = 15

[2] 7y - 4x = 9

Graphic Representation of the Equations :

4x + y = 15 -4x + 7y = 9

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = -4x + 15

// Plug this in for variable y in equation [2]

[2] 7•(-4x+15) - 4x = 9

[2] - 32x = -96

// Solve equation [2] for the variable x

[2] 32x = 96

[2] x = 3

// By now we know this much :

y = -4x+15

x = 3

// Use the x value to solve for y

y = -4(3)+15 = 3

Solution :

{y,x} = {3,3}

James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package. If he received $33 dollars of his refund, how many packages of batteries did he buy?

Answers

Answer:

4

Step-by-step explanation:

he should have gotten 45 back

but he only got 33

so the DIFFERENCE is how much he got in batteries, how many packs? well 45−33 = 12   12÷3=4

James bought 4 packages of batteries if James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package

Let he buy x number of packages of batteries.

The cost of packages of batteries = 3x

The linear equation one variable can be framed:

33 + 3x = 45

3x = 45 - 33

3x  = 12

x = 4

Thus, James bought 4 packages of batteries if James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package.

Learn more about the linear equation here:

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Which of the following is equal to 7 1/4

Answers

Answer:

D. [tex]\sqrt[4]{7}[/tex]

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations
since 2010 are given by the functions below:
Cit) 1000 - 500
F(t) = 2500 - 1000
Will their populations ever be equal? If so, when will that happen and what will that population be?
Otherwise, briefly explain why their populations will never be equal.

Answers

Answer:2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations

since 2010 are given by the functions below:

Cit) 1000 - 500

F(t) = 2500 - 1000

Will their populations ever be equal? If so, when will that happen and what will that population be?

Otherwise, briefly explain why their populations will never be equal.

Step-by-step explanation:

Helpppppp meeee please and thank you

Answers

Answer:

Yes, by SAS

Step-by-step explanation:

A mouse has made holes in opposite corners of a rectangular kitchen. The kitchen is 15 feet by 8 feet. If the mouse runs straight from one hole to the other, how far will it run?

Answers

the mouse runs 20 feet

What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?

Answers

Answer:

y - (-1) = -3(x-10)

y+1= -3x+30

y= -3x+30-1

y= -3x+29

The two data sets below show the approximate number of gallons of gasoline Josie and Olivia put into their cars the last 10 times they filled their gas tanks. A dot plot titled josie's Gasoline (gallons). The number line goes from 8 to 12. There are 2 dots above 8, 2 above 9, 6 above 10, and 0 above 11 and 12. A dot plot titled Olivia's Gasoline (gallons). The number line goes from 8 to 12. There are 0 dots above 8 and 9, 6 above 10, 3 above 11, and 1 above 12. Which measure of variability would most accurately compare the two data sets and why?

Answers

Answer:

c

Step-by-step explanation:

i got it right on edg 2020

Answer:

c

Step-by-step explanation:

show that (0.8a+0.4b)^2=(0.8a-0.4b)^2+1.28ab


please help me solve this asap​

Answers

Step-by-step explanation:

first

(0.8a+0.4b)^2= (0.8a+0.4b) *(0.8a+0.4b)

=

0.64 a^2 + 0.32 ab +0.32ab + 0.16 b^2=

0.64 a^2 + 0.64ab + 0.16 b^2

second

(0.8a-0.4b)^2+1.28ab

= 0.64 a^2 - 0.64ab +0.16 b^2 + 1.28ab

= 0.64 a^2 + 0.64ab + 0.16 b^2

since the first (left parameters ) equals the second(right side parameters)

approved✓✓

Which expression is equal to 5+6+7+8+9?

Answers

18+17 or 18+ (8+9)
I hope this helps...

The neighbor sold 16 cake pops for $1.75 each. How much money did the neighbor collect?

Answers

Answer:

$28

Step-by-step explanation:

$1.75 x 16 = $28

Answer: 10.05

Step-by-step explanation:

shoprite has various brands of laundry detergent. which brand has the lowest price per ounce?​

Answers

The Xtra detergent. Because it is $8.77 and all the rest are higher.

What is this? I don't know and I'm struggling bad please help

Answers

Answer:

steeper

Step-by-step explanation:

y = mx + c where m is the slope and c is the y-intercept.

The slope has been changed from 2 to 4. The higher the slope, the steeper it is. Thus, the slope is steeper now.

Answer:

i'm not sure sorry

Step-by-step explanation:

F(x)=2x^3-2x+1 relativeminimum

Answers

Step-by-step explanation:

F(x) = 2x³ - 3x + 1.

d/dx [2x³ - 3x + 1] = 6x² - 3.

Firstly, we wish to find the stationary points of F(x).

When 6x² - 3 = 0, x = -0.707 or x = 0.707.

Now we use Second Derivative test:

d/dx [6x² - 3] = 12x.

Since 12(-0.707) < 0, x = -0.707 is a relative maximum point.

Since 12(0.707) > 0, x = 0.707 is a relative minimum point.

Hence x = 0.707. To find the exact point you can substitute the value of x back into the equation 2x³ - 3x +1.

for the figure shown below, find the value of the variable and the measure of the angles.

x is
measure angle P
measure angle Q
measure angle R​

Answers

Answer:

All triangles has a total angle of 180. So x+38+2x+18+x=180

Solve for x: 4x+56=180 so 4x=124, x=31

Can someone help me

Answers

Answer:

1) The distance between points is: [tex]\sqrt{290}[/tex]

Option B is correct option.

2) The distance between points is: [tex]\sqrt{10}[/tex]

Option A is correct option.

Step-by-step explanation:

Find the distance between points

Question 1

(8,-5),(-3,8)

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=8, y_1=-5,x_2=-3,y_2=8[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-3-8)^2+(8-(-5))^2}\\Distance=\sqrt{(-11)^2+(8+5)^2}\\Distance=\sqrt{(-11)^2+(13)^2}\\Distance=\sqrt{121+169}\\Distance=\sqrt{290}[/tex]

So, the distance between points is: [tex]\sqrt{290}[/tex]

Option B is correct option.

Question 2

(-1,6),(-4,-7)

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=-1, y_1=6,x_2=-4,y_2=-7[/tex]

Putting values and finding distance

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-4-(-1))^2+(-7+6)^2}\\Distance=\sqrt{(-4+1)^2+(-1)^2}\\Distance=\sqrt{(-3)^2+(-1)^2}\\Distance=\sqrt{9+1}\\Distance=\sqrt{10}[/tex]

So, the distance between points is: [tex]\sqrt{10}[/tex]

Option A is correct option.

Alexandra spends 1/3 of her daysleeping and 3/8 of her day at work. What fraction of Alexandra’s day is occupied by sleep or work?

Answers

Answer:

17/24

Step-by-step explanation:

Change the denominators to match

8/24 + 9/24 = 17/24

Is 2.3 + (-2.4) positive number

Answers

Answer:

2.3 + (-2.4) = -.1

Step-by-step explanation:

adding a negative like this is the same 2.3 - 2.4 and subtracting 2.4 from 2.3.

What is 52114 divided by 47

Answers

Answer:

1108.808511

Step-by-step explanation:

Answer:11108.80

Step-by-step explanation:

Find the acute angle between the lines. 5x ? y = 2, 6x + y = 6

Answers

Answer:

Acute angle Ф = 20.77° (Approx)

Step-by-step explanation:

Given:

5x - y = 2

6x + y = 6

Find:

Acute angle

Computation:

5x - y = 2

6x + y = 6

So,

y = 5x - 2.....eq1

y = -6x + 6......eq2

Slop line y = mx + c

On comparison

m1 = 5 , m2 = -6

So,

TanФ = I(m1-m2)/(1+m1m2)I

TanФ = I(5+6)/(1-30)I

TanФ = 11/29

Ф = 20.77° (Approx)

Acute angle Ф = 20.77° (Approx)

Evaluate the expression: (–2)2 + (–4)2 + (18 – 23).
A. –19
B. 19
C. –17
D. 3

Answers

Answer:

c

Step-by-step explanation:

(–2)2 + (–4)2 + (18 – 23) = -4-8-5= -17

Find the opposite of each integer. 0=​

Answers

Answer:

The opposite of 0 is 0

The answer is 0
Hope that helped

5/4+5/4=_ × 1/4 plz help me​

Answers

Answer:

10/4

Step-by-step explanation:

hurry plz Im running out of time


what is 753 and 251 round to hundredth

15 points

Answers

Answer:I am pretty sure its 800

Step-by-step explanation:

Answer:

753 rounds to 753 because it is already rounded. 251 stays the same to because it cant round any further. I hope I have helped :)

the curved sulace of the pillar at the rate of 12,50 per m.
Curved surface area of a right circular cylinder is 44 m. If the radius of the base of the
cylinder is 0.7 m, find its height,​

Answers

Answer:

The height of cylinder is 10 meters.

Step-by-step explanation:

Given

Curved Surface Area = 44m^2

Radius = r = 0.7 m

The curved surface area of a cylinder is given by:

[tex]CSA = 2\pi rh[/tex]

Putting the values we get

Pi can be taken as 22/7 or 3.14

We are taking 22/7 for the question

[tex]44 = 2 * \frac{22}{7} * 0.7 *h\\44 * \frac{7}{22} = 1.4h\\14 = 1.4h\\h=\frac{14}{1.4}\\h=10 m[/tex]

Hence,

The height of cylinder is 10 meters.

what are all of the ratios that are equivalent to 1/2

Answers

Answer:

there are infinte number of ratios that are equivaent to 1/2

Step-by-step explanation:

2/4, 3/6, 4/8, 5/10, 6/12 ...

Answer:

2/4, 3/6, 4/8, 5/10, 6/12

Step-by-step explanation:

Just multiply the denominator and numerator!!

For example:

1/2 =2/4

1x2=2

2x2=4

Three out of eight students wore white shoes what percent of students did wore white shoes

Answers

Answer:

37.5 percent wore white shoes

Step-by-step explanation:

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