Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3

The value of x using the concept of supplementary angles is; 26

Supplementary angles are defined as two angles that add up to 180 degrees.

For example, If a and b are supplementary angles then, it means that;

a + b = 180°

In this question, we are given that ∠1 ​ and ∠2 are supplementary. Thus;

If m∠1 = 124° and m∠2 = (2x + 4)°, then we have;

124° + (2x + 4)° = 180°

180 - 124 = 2x + 4

2x = 180 - 124 - 4

2x = 52

x = 52/2

x = 26

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Answer:

x=10

Step-by-step explanation:

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope of a line is m = \(\frac{y2-y1}{x2-x1}\) , where

Let us use these rules to answer the question

∵ The linear equation is y = -2x + 7

→ By comparing it with the form of the linear equation above

∴ m = -2

∵ m is the slope of the line represented by the given equation

∴ The slope of the line given by the linear equation is -2

From the given figure

∵ The line passes through points (6, 0) and (0, 6)

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = \(\frac{6-0}{0-6}=\frac{6}{-6}\)

∴ m = -1

∵ m is the slope of the line shown in the graph

∴ The slope of the line shown in the graph is -1

Answer:

2y + 19 over 7

Step-by-step explanation:

Steps Using Substitution

7x−3у=−12−2x+3y=−3

Consider the first equation. Add 2x to both sides.

7x−3у+2x=−12+3y

Combine 7x and 2x to get 9x.

9x−3у=−12+3y

Subtract 3y from both sides.

9x−3у−3y=−12

Add 3у to both sides.

9x−3y=−12+3у

Consider the second equation. Add 12 to both sides.

−2x+3y=−3+12

Add −3 and 12 to get 9.

−2x+3y=9

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

9x−3y=3у−12,−2x+3y=9

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

9x−3y=3у−12

Add 3y to both sides of the equation.

9x=3y+3у−12

Divide both sides by 9.

x=1 over 9​(3y+3у−12)

Multiply 91​ times −12+3y+3у.

x=1 over 3​y+3у−4​

Substitute 3−4+y+у​ for x in the other equation, −2x+3y=9.

−2(31​y+3у−4​)+3y=9

Multiply −2 times 3−4+y+у​.

−32​y+38−2у​+3y=9

Add −2y over 3​ to 3y.

7 over 3​y+38−2у​=9

Subtract 8−2у​ over 3 from both sides of the equation.

37​y=32у+19​

Divide both sides of the equation by 37​, which is the same as multiplying both sides by the reciprocal of the fraction.

y=72у+19​

Substitute 719+2у​ for y in x=31​y+3у−4​. Because the resulting equation contains only one variable, you can solve for x directly.

x=31​×(72у+19​)+3у−4​

Multiply 31​ times 719+2у​.

x=212у+19​+3у−4​

Add 3−4+у​ to 2119+2у​.

x=73у−3​

is now solved.

y=72у+19​

Answer:

-7

Step-by-step explanation:

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The interval is  \(-0.0037 < p_1-p_2<-0.0023\)

Step-by-step explanation:

From the question we are told that

   The first  sample size is  \(n _1 = 1068000\)

    The  first sample proportion is \(\r p_1 = 0.089\)

    The  second sample  size is  \(n_2 = 1476000\)

    The  second sample proportion is  \(\r p_2 = 0.092\)

Given that the confidence level is  95% then the level of significance is mathematically evaluated as

             \(\alpha = (100 - 95 )\%\)

              \(\alpha = 0.05\)

Next we obtain the critical value  of  \(\frac{\alpha }{2}\)  from the normal distribution table  

The value is  

               \(Z_{\frac{\alpha }{2} } =z_c= 1.96\)

Generally the 95% confidence interval is mathematically represented as

       \((\r p_1 - \r p_2 ) -z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}} < (p_1 - p_2 ) < (\r p_1 - \r p_2 ) +z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2}}\)

Here  \(\r q_1\) is mathematically evaluated as \(\r q_1 = (1 - \r p_1)= 1-0.089 =0.911\)

and  \(\r q_2\)  is mathematically evaluated as  \(\r q_2 = (1 - \r p_2) = 1- 0.092 = 0.908\)

So

       \((0.089 - 0.092 ) -1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}} < (p_1 - p_2 ) < (0.089 - 0.092 ) +1.96 \sqrt{ \frac{0.089* 0.911 }{1068000} + \frac{0.092* 0.908 }{1476000}}\)

\(-0.0037 < p_1-p_2<-0.0023\)

Answer:

\(y=30\sqrt{2}\)

Step-by-step explanation:

\(In\)Δ\(ABC\)

\(tan45=AB/BC\)

\(1=30/BC\)            \([tan45=1]\)

\(-------\\BC=30 \\-------\)     ⇒   \(OC=30\\\)

\(and\) \(In\) Δ\(ABC\)

\(Cos45=Bc/AC\)  

\(1/\sqrt{2} =x/y\)

\(y=\sqrt{2}*x\)

\(y=30\sqrt{2}\)

------------------

hope it helps....

have a great day!!

Translating the word problem into a symbolic statement:  W = kr³/s.  Find k by letting W = 24, r = 4 and s = 8:

         k·4³

24 = --------            

           8

This reduces to 3 = 4^3*k, or 3 = 64k, or k = 3/64 (the constant of proportionality).

       3r^3

w = ---------

         64

Answer:

i. Minimum is 343 square feet

ii. Maximum is 360 square feet

Step-by-step explanation:

The dimension of the rectangular garden plot is 12 feet by 28.6 feet.

1. The minimum possible area can be determined by;

area of a rectangle = length x width

                               = 28.6 x 12

                               = 343.2

The minimum possible area is about 343 square feet.

2. The maximum value can be determined by;

             28.6 ≅ 30.0 (1 sf)

area of a rectangle = length x width

                                = 30 x 12

                                = 360

The maximum possible area is about 360 square feet.

Answer:

t and u are supplementary as opposite angles of a cyclic quadrilateral.

t = 180 - (81 + 53) = 46

u = 180 - t = 180 - 46 = 134

v and w are equal as opposite angles to equal sides.

v = w = 1/2(180 - u) = 1/2(180 - 134) = 23

Step-by-step explanation:

Answer:

It is not letting me to download!!!

Step-by-step explanation:

Answer:

I don't even understand that?

Step-by-step explanation:

Here is the answer though; ASK your MOM/DAD!?

Answer: C

Step-by-step explanation: i just had that answer

Answer:

C

Step-by-step explanation:

I did the test

Answer:

  x = √65

Step-by-step explanation:

You are given a right triangle with leg lengths 4 and 7, and you are asked for the length of the hypotenuse, x.

The Pythagorean theorem relates the lengths of the sides of a right triangle. It tells you the square of the hypotenuse (x²) is the sum of the squares of the other two sides.

  x² = 4² +7² . . . . . . . . . Pythagorean relation

  x² = 16 +49 = 65 . . . evaluate the expression

  x = √65 . . . . . . . . . . take the square root

Answer:9& 5

Step-by-step explanation:

The option that is extraneous solution of

√-3x-2=x+2 is A. -6.

From the information given, taking square both sides

-3x - 2 = (x + 3)²

On applying identity   = a² + b² + 2ab

Then ,

-3x -2 =  x² + 2² + 2 * 2 *x

-3x -2 =  x² + 4 + 4x.

On adding both sides by 3x

-2 =  x² + 4 + 4x + 3x

-2 =  x² + 4 + 7x

On adding both sides by 2

0 =  x² + 4 + 7x + 2

On switching sides

x² +7x + 6 = 0

On Factoring

x² +6x + x + 6 = 0

x ( x+ 6 ) +1 (x +6 ) = 0

On grouping

( x +1) ( x +6) = 0

x = -1, -6.

An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.

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Complete question

Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6

Answer:

47.647% Increase

Step-by-step explanation:

You need to find the amount it increased by first, so

251-170=81

Then you need to find what percent of 170 that is, so

81/170=0.47647

Finally multiply that by 100 to get the percent:

0.47647×100=47.647%

Answer:

Step-by-step explanation:

Solving this problem is as simple as isolating the term of c from one side of the equation, and then simplifying the equation.

First, add the numbers from left to right.

\(\sf{5c+9c=\boxed{\sf{14c}}\)

I hope this helps! Let me know if you have any questions.

The domain of the function or relation is {6, 9, -4 and 2}

The function is represented by the set of relation or ordered pairs

The ordered pairs in the relation are:

(x, y)  = (6, -3), (9, -3), (-4, 1) and (2, 1)

Remove the y values in the above domain

x = 6, 9, -4 and 2

The x values represent the domain of the function

Hence, the domain of the function or relation is {6, 9, -4 and 2}

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Answer:

a)

The 99% confidence interval for the proportion of all adult Americans who watched streamed programming up to that point in time is (0.5336, 0.5864). This means that we are 99% sure that the true proportion of all adult Americans who watched streamed programming up to that point in time is between these two values.

b)

A sample size of 664 is required.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

A poll reported that 56% of 2348 American adults surveyed said they have watched digitally streamed TV programming on some type of device.

This means that \(\pi = 0.56, n = 2348\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a p-value of \(1 - \frac{0.01}{2} = 2.575\), so \(Z = 2.575\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.56 - 2.575\sqrt{\frac{0.56*0.44}{2348}} = 0.5336\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.56 + 2.575\sqrt{\frac{0.56*0.44}{2348}} = 0.5864\)

The 99% confidence interval for the proportion of all adult Americans who watched streamed programming up to that point in time is (0.5336, 0.5864). This means that we are 99% sure that the true proportion of all adult Americans who watched streamed programming up to that point in time is between these two values.

b. What sample size would be required for the width of a 99% CI to be at most .05 irrespective of the value P?

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

This sample size is given by n, with \(M = 0.05\) and \(\pi = 0.5\).

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 2.575\sqrt{\frac{0.5*0.5}{n}}\)

\(0.05\sqrt{n} = 2.575*0.5\)

Dividing both sides by 0.05.

\(\sqrt{n} = 2.575*10\)

\((\sqrt{n})^2 = (2.575*10)^2\)

\(n = 663.1\)

Rounding up:

A sample size of 664 is required.

Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

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The drop down menu is used to match each situation as below.

1. The rocket reached its maximum  the x-value of the vertex

height in 5 s.

2. ground level                                    the y-intercept

3. The rocket launcher was                the y-value of the point containing

on the ground.                                     the x-intercept on the right

4. The rocket was in the air 10           the x-intercept on the right                                                                                    

5. The maximum height of the           the y-value of the vertex

rocket is 50 ft.

6. the time the rocket was                the x-value of the point containing the

launched                                          y-intercept

The key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.

The vertex is the point the rocket had the maximum and height.

Generally, the curve traces a parabolic path

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Answer:

Step-by-step explanation:

To undo the division of p by 3, one multiplies by the inverse of 1/3. That is, one multiplies by 3.

Then you have ...

  3(p/3) = 3(12)

  p = 36 . . . . . simplify

To check this work, you can substitute 36 for p:

  36/3 = 12 . . . . . true statement

So, the solution process is ...

  multiply both sides of the equation by 3

  substitute 36 for p to check the work

Answer:

Step-by-step explanation:

I took the assignment and it's correct :)

Good luck ;)

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Answer: 3 , 4 and 5 are correct options

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Answer:

B and d hope it helps

Step-by-step explanation:

hope it helps

Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.