Find an equation of the plane through the given point and parallel to the given plane. origin 3x - y + 3z = 4

For the given similar triangle the value of x will be 9 inches.

It is required by law to demonstrate that two triangles are identical in shape, although size is not a requirement. The comparable angles are congruent and the ratio of the respective sides is in the same proportions.

It is given that, the unknown side is x, from the observation it is obtained that the two triangles are similar

The derived formula is, because the sides of the similar triangles are all equal in ratio.

8/6=12/x

x=12×6 / 8

x=9 inches

Thus, for the given similar triangle the value of x will be 9 inches.

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-c + 1 > 2

-c > 2-1   Move 1 to subtract.

-c > 1

c < -1      When the coefficient is negative, moving the negative to another side as changing the sign of Inequality to opposite.

Thus, the answer is c < -1

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Explanation:

Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y

y = measure of arc CDF

Adding the three arcs forms a full circle of 360 degrees

(arc CBH)+(arc FGH)+(arc CDF) = 360

170+64+y = 360

y+234 = 360

y = 360-234

y = 126

arc CDF = 126 degrees

Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.

inscribed angle = (arc measure)/2

x = (arc CDF)/2

x = 126/2

x = 63

Answer:

rewrite the fromula 126

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{1}{5}\) ∠ 7x

\(\frac{1/5}{7}\) ∠ x

1/35 ∠x

x ≥ \(\frac{1}{35}\)

Answer:

can you show me a better picture your problems are cut off

Step-by-step explanation:

Answer:

range = 13

Step-by-step explanation:

The range is the difference between the largest value and the smallest value

largest value = 15 and smallest value = 2 , then

range = 15 - 2 = 13

Answer:

120,000

Step-by-step explanation:

If the grinch steals 20 presents from all 6,000 houses , then just multiply 6,000 by 20 to get 120,000 presents.

the probability that the animal selected is not a chicken is 4/5 or 0.8, which is the answer.

There are a total of 6 + 4 + 10 = 20 animals on Giovanna's farm.

The probability of selecting a chicken randomly is 4/20 = 1/5, since there are 4 chickens out of 20 animals.

Therefore, the probability of not selecting a chicken is the complement of this probability, which is:

1 - 1/5 = 4/5

what is probability?

Probability is a measure of the likelihood that an event will occur. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

For example, if you flip a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1/2, because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

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The cost of the stock for the investor would be calculated as follows:

Cost of 1 share = $98.93
Number of shares purchased = 500

Total cost of the stock = Cost per share x Number of shares
Total cost of the stock = $98.93 x 500
Total cost of the stock = $49,465

The broker charges 2% of the cost of the stock, so the broker's fee would be calculated as:

Broker's fee = 2% x Total cost of the stock
Broker's fee = 2% x $49,465
Broker's fee = $989.30

Therefore, the total cost of the stock for the investor including the broker's fee would be:

Total cost of the stock + Broker's fee = $49,465 + $989.30
Total cost of the stock + Broker's fee = $50,454.30

So the cost of the stock for the investor including the broker's fee is $50,454.30.

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The probability of getting a shape with at least four sides, then tails will be 1/12.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The spinner below is spun once, then a coin is tossed.

Then the probability of getting a shape with at least four sides, then tails will be

For spinner

Favorable event = 5

Total event = 6

For a coin

Favorable event = 1

Total event = 2

P = 5/6 x 1/2

P = 5/12

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer: 397,825  390,000   350,000

Step-by-step explanation: Numbers must be above 350,000 because it was rounded up to 400,000.

Answer:216

Step-by-step explanation:

because 200 times 8 percent = 16 so then you add 16 too 200 and get 216.

The length of the CD is 15.354 cm

As we know that a perpendicular bisector divides a line segment into 2 equal halves and makes a right angle with the line.

Here, the CD is the perpendicular bisector of AB.

Now from the above definition, we can classify that

AD = BD = 9/2 cm

= 4.5 cm

Also,

ΔACD is a right-angled triangle

According to the Pythagoras theorem for any right-angled triangle

length² + base² = hypotenuse²

In the given triangle,

length = CD

Base = AD

hypotenuse = AC

Hence we get

CD² + 4.5² = 16²

or, CD² + 20.25 = 256

or, CD² = 235.75

or, CD = √235.75

or, CD = 15.354

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Complete Question

(image Attached)

The task requires analyzing a list of departments and performing several tasks related to relationship codes, activity relationship diagrams, reason codes, a worksheet, and a dimensionless block diagram.

We need to consider the number of departments. Since we have 7 departments listed, the number of relationship codes can be calculated using the formula: (n * (n-1)) / 2, where n is the number of departments.

Substituting the value of n = 7, we get:

Relationship Codes = (7 * (7-1)) / 2

= (7 * 6) / 2

= 42 / 2

= 21

Therefore, there will be 21 relationship codes in the chart.

Create an activity relationship diagram:

An activity relationship diagram visually represents the relationships between departments. Here is a basic diagram representing the given departments:

Receiving --+

           +-- Assembly & Shipping -- Offices

Fabrication--+

           +-- Painting -- Stores

Restrooms & Lockers

Populate the diagram with codes for all the relationships:

To populate the diagram with codes, we can assign a unique code to each relationship. Here's an example of assigning codes to the relationships in the diagram:

Receiving (R) --+

               +-- Assembly & Shipping (AS) -- Offices (O)

Fabrication (F)--+

               +-- Painting (P) -- Stores (S)

Restrooms & Lockers (RL)

What is the percentage of codes in each category? Does it follow the standard percentages?

To determine the percentage of codes in each category, we need to count the number of codes in each category and calculate the percentage relative to the total number of codes (21).

In this case, we have the following categories and their respective codes:

Production: R, F, AS, P (4 codes)

Administration: O, S (2 codes)

Support: RL (1 code)

Percentage of Production codes = (4 / 21) * 100 ≈ 19.05%

Percentage of Administration codes = (2 / 21) * 100 ≈ 9.52%

Percentage of Support codes = (1 / 21) * 100 ≈ 4.76%

These percentages do not necessarily follow any standard percentages. The distribution of codes among categories can vary depending on the specific organization or context.

Provide at least 3 reason codes for the chart:

Reason codes are used to provide explanations or justifications for the relationships depicted in the chart. Here are three example reason codes for the given chart:

R01: Receiving department receives raw materials and supplies from external sources.

AS01: Assembly & Shipping department assembles products and prepares them for shipment.

O01: Offices department provides administrative support and management functions for the organization.

Create a worksheet to assist in the creation of the dimensionless block diagram:

Here's an example of a worksheet that can assist in creating the dimensionless block diagram:

Relationship Code From Department To Department

R Receiving Fabrication

F Fabrication Painting

AS Assembly & Shipping Offices

P Painting Stores

RL Restrooms & Lockers -

O Offices -

S Stores -

This worksheet lists the relationship codes along with the corresponding "From" and "To" departments.

Create a dimensionless block diagram for your data B. Show the flow through the dimensionless block diagram:

A dimensionless block diagram represents the flow of activities or information between different departments. Here's an example of a dimensionless block diagram based on the given data:

Receiving --> Fabrication --> Painting --> Stores

                  |

                  v

        Assembly & Shipping --> Offices

                  |

                  v

       Restrooms & Lockers

The arrows indicate the flow of activities or information from one department to another.

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The calculated length of the segment EF is (c) 5

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

The trapezoid

The length of segment EF can be calculated using

EF = 1/2 * Sum of BC and AD

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

EF = 1/2 * (3.3 + 6.7)

Evaluate

EF = 5

Hence, the length of segment EF is (c) 5

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Answer:

97^4)^2

=33232930569601

Step-by-step explanation:

a. 7^16

=33232930569601

b. 7^6

=7*7*7*7*7*7

=7^6

=117649

c.7^2

7.7= 49

d.7^8

=7*7*7*7*7*7*7*7

=7^8

=5764801

________

\( \: \)

5x - 10 = 20

5x = 20 + 10

5x = 30

x = 30 ÷ 5

x = 6✔

Answer:

B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle

We cannot determine which account has a greater principal from the information given, but we know that your account has a greater balance than your sister's account after 10 years.

To determine which account has a greater principal, we need to know the initial investment of each account. However, we have not been provided with this information in the problem. The equation for the balance of each account is given, but we cannot determine the initial investment from these equations.

To determine which account has a greater balance after 10 years, we can use the given equation for the balance of the account:

A = 3800e^0.07t

We can substitute t = 10 into this equation to find the balance after 10 years for each account:

- For your account: A = 3800e^(0.07*10) = 9146.81 dollars

- For your sister's account: A = 2000e^(0.08*10) = 4892.21 dollars

Therefore, your account has a greater balance after 10 years, with a balance of approximately 9146.81 dollars compared to your sister's account with a balance of approximately 4892.21 dollars.

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Answer:

10000

Step-by-step explanation:

Do 10x10x10x10 in a calculator

Answer: 10^4= 10,000

Step-by-step explanation:

10^4= 10*10*10*10= 10,000

Lisa should start swimming at an angle of 30 degrees (relative to the north) from her starting position on the west shore of Mighty Lake.

To determine the optimal course for Lisa to start swimming, we can visualize the problem and analyze the distances involved.

Since Lisa wants to swim across the lake first and then walk along the opposite shoreline, we can consider the path as a right triangle. The width of the lake is the base of the triangle, and the distance Lisa wants to walk along the opposite shoreline is the height of the triangle.

Let's label the starting point on the west shore as A, the point where Lisa wants to reach on the opposite shore as B, and the point where Lisa finishes swimming and starts walking along the opposite shoreline as C. The distance from A to B is 1 mile, and the distance from A to C is 1 mile.

Since Lisa can walk twice as fast as she can swim, the speed ratio between walking and swimming is 2:1. This means that for every mile Lisa swims, she can walk two miles. Therefore, the distance from C to B should be twice the distance from A to C.

To find the optimal course for Lisa to start swimming, we need to determine the angle at which she should swim, considering the right triangle formed by points A, B, and C.

Let's assume that the angle between the base and the hypotenuse (angle BAC) is θ.

Since Lisa wants to reach point B by swimming across the lake first, the distance BC should be twice the distance AC. Using trigonometry, we can express this relationship as:

BC = 2 × AC

Using the sine function, we have:

sin(θ) = AC / BC

Rearranging the equation, we get:

AC = BC × sin(θ)

Substituting the known values, we have:

1 mile = (2 × AC) × sin(θ)

Simplifying, we have:

sin(θ) = 1 / (2 × AC)

Since AC = 1 mile, the equation becomes:

sin(θ) = 1 / (2 × 1)

sin(θ) = 1/2

To find the angle θ, we can take the inverse sine (arcsine) of both sides:

θ = arcsin(1/2)

Using a calculator, the arcsine of 1/2 is approximately 30 degrees.

Therefore, Lisa should start swimming at an angle of 30 degrees (relative to the north) from her starting position on the west shore of Mighty Lake.

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Answer:

The vertex of the graph is at (-4,1) and thus leading  the axis of symmetry be at x=-4.

Step-by-step explanation:

Answer: 6 inches

Step-by-step explanation:

The shovel is 8 inches

The shell is 2 inches

8 - 2 = 6

= 4

-3y + 7 = -5

-7 -7

0. -12

-3y = -12

÷ 3. ÷ 3

y = 4