given the parallel lines cut by. a transversal , determine the value of x . please help due in 30 minutes

9514 1404 393

Answer:

  10√5

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

  m = √(20×25) = √500 = √100 × √5

  m = 10√5

The geometric mean of 20 and 25 is 10√5.

1, 140 °

2, 40°

3, 100 °

4, 100°

5, 40°

6, 90 °

7, 120 °

8, 130 °

Step-by-step explanation:

1, BOA IS EQUAL TO FOH = 140°

2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°

3, BOA° + GOF° =40° + 60° = 100 °

4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°

5, COD = HOG =40 °

6, EOD= AOG = 90°

7, AOD = GOE + COD = 100° + 40 ° = 140°

8, BOG = 140 °

The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873

Let X shows the number of messages received per hour. The pdf of X is

\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)

Therefore, the probability that 5 messages are received in a single hour is

\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)

(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is

\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)

(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is

\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)

Learn more about probability

brainly.com/question/30034780

#SPJ4

Answer:

16

Step-by-step explanation:

When you square a square root (√1^2) it just cancels out. :)

There are 1,320 ways to give the first three prizes in the race.

What is meant by ways?

Ways often refers to the number of possible arrangements or permutations of a set of objects or events. It can also refer to the number of possible outcomes or solutions to a problem.

According to the given information

The first prize can be given to any of the 12 students. After the first prize has been awarded, there are 11 students left who can be awarded the second prize. Finally, there are 10 students left who can be awarded the third prize. So, the number of ways to award the first three prizes is:

12 x 11 x 10 = 1,320

Therefore, there are 1,320 ways to give the first three prizes in the race.

To know more about ways visit:

brainly.com/question/11823283

#SPJ1

A rating of 6 is not a good description of the center of this data set because the data is skewed to the right, with more students rating the importance of reducing pollution as 7, 8, 9, or 10.

A rating of 6 is not a good description of the center of this data set because the dot plot is skewed to the right. There are more dots to the right of 6 than to the left, indicating that there are more students who rated the importance of reducing pollution as 7, 8, 9, or 10 than those who rated it as 2, 3, 4, 5, or 6.

The center of a data set is typically measured by its mean, median, or mode. In this case, the median would be a better measure of the center than the mean or mode because the dot plot is skewed. The median would be the middle value when the data set is ordered from smallest to largest.

If we order the data set from smallest to largest, we get

2, 3, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10

The median of this data set is 9, which is higher than 6. Therefore, a rating of 6 is not a good description of the center of this data set.

Learn more about dot plot here

brainly.com/question/15970621

#SPJ4

Answer:

4  7/25 is the answer

Explanation:

60 divided by 14 = 4.28

4.28 = 4  7/25

Answer:

Let's denote the total cost as C and the number of hours as h. The equation to model this relationship can be written as:

C = 5 + 0.25(h - 2)

The first part, 5, represents the flat rate for 2 hours or less. The second part, 0.25(h - 2), represents the additional hours beyond 2 hours, where each hour costs $0.25.

To calculate the cost of parking for 10 hours, we can substitute h = 10 into the equation:

C = 5 + 0.25(10 - 2)

C = 5 + 0.25(8)

C = 5 + 2

C = $7.00

Therefore, you would have to pay $7.00 to park for 10 hours.

To find out how many hours $10 will buy, we can set the equation equal to $10 and solve for h:

10 = 5 + 0.25(h - 2)

0.25(h - 2) = 10 - 5

0.25(h - 2) = 5

h - 2 = 5 / 0.25

h - 2 = 20

h = 20 + 2

h = 22

Therefore, $10 will buy you 22 hours of parking

Step-by-step explanation:

a square has the same perimeter as a 5cm by 7cm rectangle. which of the following area of the square

Answer:

At sea level, the altimeter would read 0 feet. Any positive readings on the altimeter would indicate she is above sea level. Any negative readings on the altimeter would indicate she is below sea level.

Step-by-step explanation: PLATO

Answer:

Step-by-step explanation:

1) x + 65 = 90

           x = 90 -65

           x = 25

2) x + 51 = 180    {Linear Pair}

         x = 180 - 51

         x = 129

3)  y = 107    {Vertically opposite angles are equal}

    x + 107 = 180   {linear pair}

             x = 180 - 107

             x = 73

z = x    {Vertically opposite angles are equal}

z = 73

4) If sum of two angles is 180,, then they are called supplementary.

one angle = 13

It's supplement = 180 - 13

                         = 167

5)  If sum of two angles is 90, then they are called complementary.

one angle = 38

It's complement = 90 - 38

                         = 52

6) ∠1 + ∠2 = 180

5x + 9 + 3x +11 = 180  {Combine like terms}

 8x + 20  = 180

            8x = 180 -20

            8x = 160

              x= 160/8

x = 20

∠1 = 5x + 9

   = 5*20 +9

   = 100+9

    = 109

∠2 = 3x +11

    = 3*20 +11

   = 60 +11

   = 71

7) Vertically opposite angles are equal

            ∠2 = ∠2 1

  20x - 14  = 17x + 1

20x - 17x -14 = 1

         3x - 14 = 1

               3x =1 +14

              3x = 15

                x = 15/3

               x = 5

∠2 = 20x - 14

     = 20*5 - 14

    = 100 - 14

   =  86

8) ∠K + ∠L = 90

3x +3 + 10x - 4 = 90   {Combine like terms}

            13x  -1 = 90

                 13x = 90 + 1    

                     x = 91/13

                     x = 7

∠K = 3x + 3

    = 3*7 + 3

    = 21 +3

    = 24

∠L =  10x - 4

    = 10*7 -4

    = 70 - 4

    =   66

Given relation between height and time is:

Now put the value of h=85 ft in given relation:

Solving it for t:

The probability that their two sons will both have hemophilia is 0%.

Hemophilia is a sex-linked recessive disorder, which means that it is passed from mother to son. Since the woman does not have the disorder, she does not carry the gene for it and therefore her sons would not be affected by the disorder.

However, her daughters could be carriers of the disorder and could pass it on to their sons.

In order for a son to be affected by hemophilia, his mother must carry the gene for the disorder and the father must also have the gene. If the father does not have the gene, then the son will not have hemophilia.

To learn more about Hemophilia link is here

brainly.com/question/18916729

#SPJ4

Answer:

See Explanation

Step-by-step explanation:

Note: This question is more of an opinion. The answers I will provide will be base on my personal encounters with the given quantities.

Solving (1): Estimates of the given quantities

To make estimates, you employ the use of measuring device of each quantity.

For instance:

Time ----- Clock

Angle ---- Protractor

Temperature ---- Thermometer

Rate ---- This solely depend on the rate that is being measured (e.g. speedometer for speed)

Solving (2): Estimate and Actual measurement

In my case, the answer is yes because I have mastered the use of each device.

Solving (3): Difficulties

Some of the difficulties that may be encountered when taking estimates are:

- Using the wrong tools

The absence of the right measuring devices or alternate devices will definitely not give an accurate result

(e.g it will be difficult to measure an angle with a ruler)

- Unstable environments

Stable environments give accurate results.

(e.g It may be difficult to measure the speed of a car when it does not move at a constant speed; In this case, you may opt for the instantaneous speed)

- Poorly calibrated or un-calibrated devices

When a device is not calibrated properly, the device will give wrong measurements.

Answer:

30

Step-by-step explanation:

70 x3 =210

210 divided by 7=30

Answer:

yo creo que es 13. lo siento si esta incorecto.

Answer:

2.5 cups

Step-by-step explanation:

\(\frac{2}{12} =\frac{x}{15}\) (x is the amount of cups of zucchini you will need to feed 15 people)

This proportion is showing that 2 cups of zucchini can feed 12 people, and we will use it to find how much zucchini we will need to feed 15 people.

Cross multiply

30 = 12x

divide both sides by 12 to isolate x

\(\frac{30}{12}\) = x

2.5 = x

That is your answer

- Kan Academy Advance

Answer:

11

Step-by-step explanation:

f(4)=3(4)-1

f(4)=12-1

f(4)=11

Answer:

No because 42% of 78 is 32.76

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option C, MN/LK||MN, is the additional piece of information required to demonstrate that ΔLKN ~ΔKNM by the SAS similarity theorem.

The SAS (Side-Angle-Side) similarity theorem: what is it?

According to the SAS (Side-Angle-Side) similarity theorem, two triangles are similar if they have two pairs of corresponding sides that are in proportion and the included angles are congruent.

In this example, we know that ΔLKN and ΔKNM share the angle at vertex K, and we also know that LN/MN and LK/KN are in proportion.

To clarify that MN is parallel to LK and forms a transversal with LN, we must first prove that MN/LK||MN.

To prove that the included angles between the matching sides are congruent, which is necessary for the triangles to be similar, this information is required.

Consequently, in order to demonstrate that ΔLKN~ΔKNM according to the SAS similarity theorem, option C is the correct additional piece of information.

To know more about similar triangles, visit:

brainly.com/question/10677678

#SPJ9

1. The slope of the water table between the two wells can be calculated by determining the difference in water table levels and dividing it by the distance between the wells. 2. The slope of Deer Creek can be determined by calculating the difference in elevation between its source and the valley floor and dividing it by the length of the creek. 3. To determine the ground measurements corresponding to 3.5 inches on the map, we need to use the map's scale. The scale of 1:24000 means that 1 inch on the map represents 24000 inches on the ground.

1. To calculate the slope of the water table between the wells, we subtract the water table level at one well (100 feet) from the level at the other well (300 feet), resulting in a difference of 200 feet. Since the wells are half a mile apart (2640 feet), we divide the difference in water table levels by the distance between the wells, giving us a slope of approximately 0.076 ft/mi.

2. The slope of Deer Creek can be determined by subtracting the elevation of its source (2700 meters) from the elevation at the valley floor (1290 meters), resulting in a difference of 1410 meters. Since the creek flows for 8 kilometers, we divide the elevation difference by the length of the creek, giving us a slope of approximately 176.25 m/km or 0.176 m/m.

3. To determine the ground measurements corresponding to 3.5 inches on the map, we use the scale of 1:24000. Since 1 inch on the map represents 24000 inches on the ground, 3.5 inches on the map would represent 84000 inches on the ground, which is approximately 7000 feet or 1.32 miles.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ11

The bug changes direction at t = 4. This can be answered by the concept of velocity.

To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.

To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.

Therefore, the bug changes direction at t = 4.

To learn more about velocity here:

brainly.com/question/18084516#

#SPJ11

In the study conducted by John Darley and Bibb Latané, the number of people present in the room with the participant served as an independent variable, as it was manipulated by the researchers to observe its effects on helping behavior.

Specifically, the researchers examined how the presence of other people in the room would affect whether or not the participant would choose to help in a given situation. By changing the number of people present in the room, the researchers were able to measure the effects of diffusion of responsibility on helping behavior.

Diffusion of responsibility is a phenomenon in which individuals are less likely to help a victim when they are in the presence of other people, as they assume that someone else will take responsibility. Therefore, the number of people present in the room was an important variable in the study, as it allowed the researchers to measure how the presence of others affected helping behavior.

know more about researchers here

https://brainly.com/question/24174276#

#SPJ11

The graph of the relationship has an equation of m = 3.75k and it is is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The constant of proportionality is 3.75 grams/liter

This means that

k = 3.75

As a general rule

A proportional relationship is represented as

y = kx

In this case, we use

m = kv

Where

Using the above as a guide, we have the following:

m = 3.75k

So, the equation of the relationship is m = 3.75k

The graph of the relationship m = 3.75k is added as an attachment

Read more about proportional relationship at

https://brainly.com/question/28651666

#SPJ1

The static int "determineresult" takes two parameters, one integer and one double reference as input parameters.

Static int determineresult is a method signature in C# programming language.

The method "determineresult" has two parameters:

The first parameter is an integer named "value1". This parameter is passed by value, which means that the method creates a copy of the value1 variable and works with that copy within the method.

The second parameter is a reference to a double named " value2 ". This parameter is passed by reference, which means that the method works directly with the value2 variable outside the method. Any changes made to value2 within the method will be reflected in the original value2 variable.

Learn more about programming language  here

brainly.com/question/23959041

#SPJ4

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

For more questions like  SQL Server click the link below:

https://brainly.com/question/30036127

#SPJ4

Answer:

4

Step-by-step explanation:

\( \huge \sqrt[4]{256} = \sqrt[4]{ {4}^{4} } = 4 \)

Answer:

oxygen

Step-by-step explanation:

we breath it every day

Answer:

=5

Step-by-step explanation:

6-2=5