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 X is r'. Prove: Circle O is similar to circle X.

Answer:

[tex] = 15 {x}^{2} + x - 2 \\ [/tex]

Step-by-step explanation:

[tex](3x - 1) \times (5x + 2) \\ 3x(5x + 2 ) - 1(5x + 2) \\ 15 {x}^{2} + 6x - 5x - 2 \\ = 15 {x}^{2} + x - 2[/tex]

hope this helps

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Given:

To find out:

Find the area ?

Solution:

Area = ( 3x - 1 ) × ( 5x + 2 )

= 3x ( 5x + 2 ) - 1 ( 5x + 2 )

= 15x² + 6x - 5x - 2

= 15x² + x - 2

Thus, the area is 15x² + x - 2 .

Answer:

Option (2).

Step-by-step explanation:

From the figure attached,

Since there is a common difference in each successive term and previous term of y,

[tex]y_{2}-y_{1}=-9-(-6)[/tex]

           = -3

[tex]y_{3}-y_{2}=-12-(-9)[/tex]

           = -3

Therefore, this data represents a linear equation.

Now we choose two points from the table given.

Let the points are (0, -6) and (1, -9)

Slope of this line 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{-9+6}{1-0}[/tex] = -3

Y-intercept 'b' = -6

Equation of the line will be,

y = -3x - 6

Option (2) will be the answer.

Answers:

Look at the attached picture

Hope it will help you

Good luck on your assignment....

Answer:

7000 mg = 7 g

18500 g = 18.5 kg

22 g = 22000 mg

4.7 kg = 4700 g

8.3 kg = 8300 g

135000 mg = 135 g

Step-by-step explanation:

First we need to use some important conversion rates so I will write them for below

1 Milligram (mg) = 0.001 Grams (g)

1 Gram (g) = 0.001 Kilogram (Kg)

1 Gram (g) = 1000 Milligrams (mg)

1 Kilogram (Kg) = 1000 Grams (g)

Using the above conversion rates we can solve these questions

Question 1

7000 mg = ? g

Using the information at the top 1 Milligram (mg) = 0.001 Grams (g) so,

0.001 × 7000 = 7 grams

Question 2

18500 g = ? kg

Using the information at the top 1 Gram (g) = 0.001 Kilogram (Kg) so,

18500 ÷ 1000 = 18.5 kg

Question 3

22 g = ? mg

Using the information at the top 1 Gram (g) = 1000 Milligrams (mg) so,

22 × 1000 = 22000 mg

Question 4

4.7 kg = ? g

Using the information at the top 1 Kilogram (Kg) = 1000 Grams (g) so,

4.7 × 1000 = 4700 g

Question 5

8.3 kg = ? g

Using the information at the top 1 Kilogram (Kg) = 1000 Grams (g) so,

8.3 × 1000 = 8300 g

Question 6

135000 mg = ? g

Using the information at the top 1 Milligram (mg) = 0.001 Grams (g) so,

0.001 × 135000 = 135 grams

Answer:

x=3

Step-by-step explanation:

3^x = 27

Rewrite 27 as 3^3

3^x = 3^3

The bases are the same so the exponents are the same

x=3

Answer:

Step-by-step explanation:

1) first, lets rationalize the denominator by eliminating [tex]1+\frac{1}{\sqrt{2} }[/tex]

so multiply [tex]\frac{1}{1+\frac{1}{\sqrt{2} } }[/tex]  with the conjugate, [tex]1-\frac{1}{\sqrt{2} }[/tex]

we multiply with the conjugate (opposite) since we can take the conjugate and the original term in the form of (a+b)(a-b)= a^2-b^2, which would allow us to get rid of the square root:

so

(1+1/[tex]\sqrt{2}[/tex])(1-[tex]\frac{1}{\sqrt{2} }[/tex])=(1)^2-([tex]\frac{1}{\sqrt{2} }[/tex])^2

hence we are left with:

1-1/2= 0.5

0.5 is the denominator:

since conjugate is multiplied to both numerator and denominator:

for the numerator (1)([tex]1-\frac{1}{\sqrt{2} }[/tex])

is: 1-[tex]\frac{1}{\sqrt{2} }[/tex]

hence, [tex]\frac{1-\frac{1}{\sqrt{2} } }{0.5}[/tex]

so[tex]1-\frac{1}{\sqrt{2} }[/tex]

is 0.292893

so

0.292893/0.5= 0.058579

and 2-sqrt(2)= 0.058579

hence they both are equal

hope this helps!

Answer:

y-13

Step-by-step explanation:

y-3/3+12

because of order of ops you do 3/3 first

y-1+12

1+12 is 13 so

y-13

Answer:

y[tex]\leq[/tex][tex]\frac{1}{3}[/tex]x-4; B

Step-by-step explanation:

The blue is in the y-values where it is more directed towards the negative y- values.

y=mx+b

[tex]\frac{1}{3}[/tex] slope= because rise is 1 and 3 runs and to find slope it is [tex]\frac{rise}{run}[/tex]

-4 is the "b" in y=mx+b where b represents the y-intercept and looking at the graph, the line intercepts at -4  

Answer:

14.285% or 14.3% if rounded to the nearest one decimal place.

Step-by-step explanation:

4 ÷28 × 100

Answer:

1/20

Step-by-step explanation:

Take the # of blonde males and divide it by the total number of customers.

You get 5/100.

Now Simplify to get 1/20

Answer:

The length of one part is 8 feet and the longer part is 17 feet.

Step-by-step explanation:

While the longer part is 1 foot more than twice the shorter part which means that l2=2x+1 l 2 = 2 x + 1

hope this helps

Hi!

So the first thing to do is to combine the common terms on each side.

On the left side, 13 and 2a cannot be put together because 2 has a multiplier that 13 does not.

On the right side, however, there are two numbers with the multiplier a. Add those together!

3a + 2a = 5a.

13 + 2a = 5a - 14

Now we want to isolate a to one side. Let's do the right side.

To do this, we have to subract 2a from both sides to get a on only one side.

13 + 2a - 2a = 5a - 2a - 14.

Subract.

13 = 3a - 14.

We have to do the same for the 14 on the right side. Instead, since the number is being subracted from 3a, we have to add it to both sides.

13 + 14 = 3a + 14 - 14.

27 = 3a

a = 9.

Answer:

tanθ = [tex]\frac{8}{15}[/tex]

Step-by-step explanation:

By applying tangent rule in the given right triangle ROE,

tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tanθ = [tex]\frac{RO}{OE}[/tex]

tanθ = [tex]\frac{8}{15}[/tex]

Therefore, answer will be tanθ = [tex]\frac{8}{15}[/tex]

Answer:

1)

C. − 1

D. 2

2)

A. Distribute 4 to the quantity ( x+1).

B. Add − 8 to each side of the equation.

D. Multiply each side of the equation by 2

E. Subtract 12 from each side of the equation.

3)

[tex]f(x)=(r-x-s)^2+(r+s)[/tex]

4) The population of the city in the year 2000 was 50000. The population is decreases by 0.95 each year

Step-by-step explanation:

a) Given an equation:

ax² + bx + c = 0

The equation would have imaginary solutions if b² - 4ac is negative. That is:

b² - 4ac < 0

Given an equation: 3x²+2kx+2=0

a) If k = -5

a= 3, b = 2k = 2 × -5 = -10, c= 2

b² - 4ac = (-10)² - 4(3)(2) = 76 > 0

It would not produce imaginary solutions

b) If k = -3

a= 3, b = 2k = 2 × -3 = -6, c= 2

b² - 4ac = (-6)² - 4(3)(2) = 12 > 0

It would not produce imaginary solutions

c) If k = -1

a= 3, b = 2k = 2 × -1 = -2, c= 2

b² - 4ac = (-1)² - 4(3)(2) = -23 < 0

It would produce imaginary solutions

d) If k = 2

a= 3, b = 2k = 2 × 2 = 4, c= 2

b² - 4ac = (4)² - 4(3)(2) = -8 <0

It would  produce imaginary solutions

e) If k = 3

a= 3, b = 2k = 2 × 3 = 6, c= 2

b² - 4ac = (6)² - 4(3)(2) = 12 > 0

It would not produce imaginary solutions

f) If k = -5

a= 3, b = 2k = 2 × 4 = 8, c= 2

b² - 4ac = (8)² - 4(3)(2) = 40 > 0

It would not produce imaginary solutions

2)

A. Distribute 4 to the quantity ( x+1). to get:

1/2 x+12=8+4x+4

B. Add − 8 to each side of the equation. to get:

1/2 x+4=4( x+1)

C. Distribute 12 to the quantity ( x+1). This is not correct

D. Multiply each side of the equation by 2. to get:

x + 24 = 16 + 8(x +1)

F. Add together the 8 and the 4 on the right side of the equation. This is not correct

G. Multiply the left side of the equation by 2 to eliminate the fraction. This is not correct

3)

[tex]f(x)=x^2-2(r-s)x+(r-s)^2+(r+s)\\f(x)=x^2-2rx+2sx+r^2+s^2-2rs+r+s\\f(x)=x^2+r^2+s^2-2rs-2rx+2sx+r+s=(r-x-s)^2+(r+s)\\f(x)=(r-x-s)^2+(r+s)[/tex]

4) P( x )=50,000 ( 0.95 )^x, where x represents the number of years after the year 2000

At the year 2000, x = 0 therefore

[tex]P(x)=50000(0.95)^x=50000(0.95)^0=50000[/tex]

Since 0.95 is less than 1, it represent a population decay. 0.95 is the common ratio

The population is decreases by 0.95 each year

Answer:

Correct option: first one

Step-by-step explanation:

If we reflect the triangle RST over the x-axis, the y-coordinate of each point will have the sign switched, so the point S would be in (1, -5), the point R would be in (1, -1) and the point T would be in (4, -1)

Then, if we translate the resulting points 2 units to the left, we would have:

S = (-1, -5) -> matches point C

R = (-1, -1) -> matches point A

T = (2, -1) -> matches point B

So the triangles are congruent, and we can map from triangle RST to triangle ACB with a reflection over the x-axis and a translation of 2 units to the left.

Correct option: first one

Answer: 78 %

Step-by-step explanation:

Sales - cost = profit

712-400 = 312

As a percentage 312/400 * 100= 78

Answer:

78%

Step-by-step explanation:

712 -400 = 312

312/400 x 100 = 78

Answer:

good luck

Step-by-step explanation:

Answer:

-[tex]\frac{7}{2}[/tex] or -3[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

1/2 ÷ -1/7

1/2 × -7

-7/2

Answer:

h=2

Step-by-step explanation:

8+h/10=1

multiply the 1 by 10

8+h=10

subtract 8 from 10

h=2

If the statement is true, the value of h = 2.

What is a statement?

Mathematical statement - a statement of a mathematical relation math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement equation - a mathematical statement that two expressions are equal.

What is true statement?

Students understand that an equation is a statement of equality between two expressions. When values are substituted for the variables in an equation, the equation is either true or false. Students find values to assign to the variables in equations that make the equations true statements.

Given,

(8+h)=10

given, the equation is true statement.

Therefore, 8+h = 10

h = 10 - 8

h = 2

To know more about true statement, visit:

https://brainly.com/question/17309546

#SPJ2

Answer:

-The Relationship:

Both [tex]\angle 2[/tex] and the [tex]18\textdegree[/tex] angle are supplementary.

The measure of [tex]\angle 2[/tex]:

[tex]\angle 2 = 162\textdegree[/tex]

Step-by-step explanation:

-The relationship about both [tex]\angle 2[/tex] and the [tex]18\textdegree[/tex] angle, is that they are supplementary, which they both add up to [tex]180\textdegree[/tex].

-To find the measure of [tex]\angle 2[/tex], you need to subtract [tex]18[/tex] from [tex]180[/tex] to get the actual angle measurement of [tex]\angle 2[/tex]:

Finding the measure of [tex]\angle 2[/tex]:

[tex]180 - 18 = 162[/tex]

[tex]\angle 2 = 162\textdegree[/tex]

So, now you have the measure of [tex]\angle 2[/tex] .

Answer:

The answer is 24

Step-by-step explanation:

What you can do is add all of the numbers (31 + 33 + 35 + 37 + 39)

[tex]31 + 33 + 35 + 37 + 39=175[/tex]

Then subtract 199 by 175

[tex]199-175=24[/tex]

To check add them all together

[tex]31 + 33 + 35 + 37 + 39+24=199[/tex]

Hope this helps

Answer:

B

Step-by-step explanation:

The right answer is 6.

Please see the attached picture for full solution.

Hope it helps...

Good luck on your assignment

Answer:

i believe the answer is 6

Step-by-step explanation:

comment if u want an explanation cus i cba to write one for no reason

Answer:

Step-by-step explanation:

I used the formula

V=πr^2h

Hope this helps! (brainliest pls?)

Answer:

C 36+ w= 3w+4; 16 pounds

Step-by-step explanation:

jason weighs 36

jason's sister weighs w

together they weigh 36+w

Then ,We can model the statement:

“together he and his sister weigh four pounds more than three times the weight of his sister”.

like this :

36+ w= 3w+4

Answer:

can u please add the statements.

Step-by-step explanation:

Answer:

10*5 = 7x

Step-by-step explanation:

We can solve using cross products

10*5 = 7x

50 = 7x

divide each side by 7

50/7 =7x/7

50/7 =x

Answer:

The answer for this question is Quadrant III

Hey!!!!

(-3,12) lies in Quadrant II.

please see the attached picture.

Hope it helps...

Good luck on your assignment...

Stay safe..

Answer: Oysx-1

Step-by-step explanation:

I did same thing and got it right.

Answer:

the answer is C since you want to reflex it on the y axis