hey cool kids can any of you be the geniuses you are and help a hommie out >:) anyways here is the question besties


Rick is driving to his uncle's house in Greensville, which is 120 miles from Rick's town. After covering x miles, Rick sees a sign stating that Greensville is 20 miles away. Which equation, when solved, will give the value of x?

A.

x + 120 = 20

B.

x × 120 = 20

C.

x + 20 = 120

D.

x × 20 = 120



so you think you can tell me lol :,).

Answers

Answer 1

Answer:

C

Step-by-step explanation:

That is because when you take 20 to the other side it will be x= 120 -20

x=100 miles

final answer C


Related Questions

what is the best estimate for this sum?14 27responsesthe sum will be close to 14.the sum will be close to , 1 fourth, .the sum will be close to 12.the sum will be close to , 1 half, .the sum will be close to 1.

Answers

The best estimate for this sum 14 + 27  is the sum will be close to 14.

Estimation is basically rounding off of numbers to the nearest one. ten or hundred place.

The best estimate for this sum

= The sum of 14 + 27 = 41

The difference between 14 and 41 is 27.

The difference between 12 and 41 is 29.

The difference between 1/4 and 41 is greater than  27.

The difference between 1/2 and 41 is also greater than 27.

So best estimate for this sum 14 + 27  will be the sum will be close to 14.

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PLEASE HELP ITS URGENT!!!!!!​

PLEASE HELP ITS URGENT!!!!!!

Answers

Answer:

LCD-3x(x+2)

Final answer- x2-4x+4/ 3x2+6x

Step-by-step explanation:

okay so LCD is 3*x*(x+2)

= 3x(x+2)

so multiyling the fist expresion by x+2 and the second by x we get

2x+4+ x2-6x/ 3x(x+2)

= so

x2-4x+4/3x(x+2)

x2-4x+4/ 3x2+6x

if my answer helps please mark as brainliest.

FILL THE BLANK.Two rays with a common end point form an _____​

Answers

Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

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please helpp thank youu

Rebecca sends advertisement emails to try to send mobile phone packages
today she sent 150 emails.

-result of email.........-frequency
not opened................86
opened, no sale.......38
opened, sale made.26

a) Write down the relative frequency that an email was not opened
b) For the rest of the week Rebecca sends 900 emails. using the results in the table, how many sales does she expect to make during the rest of the week

thank you :D

Answers

a) The relative frequency that an email was not opened is 86/150 = 0.573 or 57.3%.

b) Rebecca can expect to make (26/64) * 900 = 368.75 sales during the rest of the week.












An \( \bar{X} \) chart is used to track a process with binary outcome variables. True or False
The reasons for holding inventory include all the following EXCEPT Multiple Choice it serves as a buffer

Answers

The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.

An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.

Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.

Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.

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Discuss the downsizing process in your own words and provide an
example.

Answers

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Please answer number 9.
I've drawn the dimensions, I just need help with labeling.

Please answer number 9.I've drawn the dimensions, I just need help with labeling.

Answers

The polygon which on rotated gives the given cylinder is a rectangle with dimensions 10 inches × 9 inches.

Given a cylinder with the diameter of the base 18 inches and the height of the cylinder 10 inches.

This cylinder is formed by rotating some polygon around YZ.

The polygon must be a rectangle which has the height or the length equal to the height of the cylinder.

So length = 10 inches

The width of the rectangle will be half of the diameter.

Width = 18/2 = 9 inches

Hence the rotated polygon is a rectangle with length 10 inches and width 9 inches.

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define row matrix with examples?

Answers

Answer:

There are two elements arranged in a single row and two columns in the matrix, hence it is an example of a row matrix. Example 3: A Row matrix of the order 1 x 3, is: A = [ 1 3 8 ] 1 × 3. In the above example, there are three elements in the matrix arranged in a single row and three columns.

Step-by-step explanation:

HOPE IT HELPS U BTW HAVE A GOOD DAY :D

True or False: The GCF of 36x^2y and 48xy
is 6xy.

Answers

I’m pretty sure it’s false because 6xy only goes into 48xy and not the rest of the equation
I think it is FALSE

I need help please with 6, 7 and 8

I need help please with 6, 7 and 8

Answers

6. Solution for |2x-3| = |x| are x = 1,3

7. Solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8. Number of computer meets in the condition = 6

Average:

                Average of given number is given by sum of all numbers divided by total number of numbers.

6.  |2x-3| = |x|

Case I :

            when x<0

            |2x-3| = |x|

           -(2x-3) = -x

           -2x + 3 = -x

             2x - x = 3

            x = 3 ( Not possible as x<0 )

           No solution in this case.

Case II :

            when   0< x< 3/2

              |2x-3| = |x|

            -(2x -3) = x

            -2x + 3 = x

             2x +x = 3

             3x = 3

              x =1 (Valid solution)

Case III :

             when x>3/2

             |2x-3| = |x|

             2x-3 = x

             2x -x =3

              x = 3 (Valid solution)

Thus solution for |2x-3| = |x| are x = 1,3

7.

          8 + |4v - 7| ≥ 17

               |4v - 7|  ≥ 17 -8

                |4v - 7| ≥ 9

      ⇒   4v - 7 ≥ 9

            4v ≥ 9+7

             v ≥  4

and,

         4v - 7 ≤ - 9

         4v ≤  -2

          v ≤ -1/2

     Thus solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8.

       We know,

                  Average of quantity =  sum of quantity / Number of quantity

    For the given question,

        Sum of price of all computer =  $ (890+650+ 660+450+        725+750+370+670+650+825)

                                   = $ 6640

  and       Number of computer = 10

Average price of computer = $ 6640/10

                                          = $ 664

      Absolute deviation is  $100

So i can pay price between

                                          ($ 664 - $100) to ($ 664 + $100)

                                         that is $564 to  $764

Number of computer meets in this condition = 6

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Imagine your friend posts a fake photo online and says that it’s a harmless joke. Do you agree or disagree that posting fake photos is harmless? Write an essay explaining your position, using examples from the text for support

Answers

Answer:

I disagree because depending on the photo depends on the impact. If the photo is mocking someone it is not harmless.

Step-by-step explanation:

Let the random process Y(t) be A sin(wet + 0) where is uniformally distributed between 0 and #/4. Show if this process is WSS

Answers

The random process Y(t) is not wide-sense stationary (WSS) because the phase term, ϕ, is uniformly distributed between 0 and π/4. In a WSS process, the statistical properties, such as mean and autocorrelation, should be independent of time.

To determine if the random process Y(t) is wide-sense stationary (WSS), we need to examine its statistical properties. A WSS process has two main characteristics: time-invariance and finite second-order moments.

Let's analyze the given process: Y(t) = A sin(wet + ϕ), where A is the amplitude, ω is the angular frequency, et is the time, and ϕ is uniformly distributed between 0 and π/4.

1. Time-Invariance: A WSS process should exhibit statistical properties that are independent of time. In this case, the phase term ϕ is uniformly distributed between 0 and π/4. As time progresses, the phase term ϕ changes randomly, leading to time-dependent variations in the process Y(t). Therefore, the process is not time-invariant and does not satisfy the first condition for WSS.

2. Finite Second-Order Moments: A WSS process should have finite mean and autocorrelation functions. Let's examine the mean and autocorrelation of Y(t):

Mean: E[Y(t)] = E[A sin(wet + ϕ)] = A E[sin(wet + ϕ)]

Since ϕ is uniformly distributed between 0 and π/4, its expected value is E[ϕ] = (0 + π/4) / 2 = π/8.

E[Y(t)] = A E[sin(wet + ϕ)] = A E[sin(wet + π/8)]

The expected value of sin(wet + π/8) is not zero, and it varies with time. Therefore, the mean of Y(t) is time-dependent, violating the WSS condition.

Autocorrelation: R_Y(t1, t2) = E[Y(t1)Y(t2)] = E[A sin(wet1 + ϕ)A sin(wet2 + ϕ)]

Expanding this expression and taking expectations, we have:

R_Y(t1, t2) = A^2 E[sin(wet1 + ϕ)sin(wet2 + ϕ)]

The product of two sine terms can be expanded using trigonometric identities. The resulting expression will involve cosines and sines of the sum and difference of the angles. Since ϕ is uniformly distributed, these trigonometric terms will also vary with time, making the autocorrelation function time-dependent.

Hence, we can conclude that the random process Y(t) is not wide-sense stationary (WSS) due to the time-dependent phase term ϕ, which violates the time-invariance property required for WSS processes.

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The woods behind Adam's house were 12 miles wide and 25 miles long. What is the area and perimeter
of the woods?

Answers

Answer: Perimeter = 74

Step-by-step explanation:

Estimate the sum of 462+526+856

Answers

So first round them to the nearest hundred so it’ll be 500+500+900. Then add them together to get 1900

Answer: 1844 because you just simply add 462+526+856=1844.

chelsey needs 18 3/4 grams of chemical x for a science project she found 5 1/2 grams in one container and 11 1/4 grams in another container how much more does she need​

Answers

Answer: C=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5 1/2 + 11 1/4 = 16 3/4

18 3/4 - 16 3/4 = 2

This got deleted for some reason, but I need help. No links pls.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.

g(x) = f(x) + 4

A.
The graph of function f is shifted up 4 units.
B.
The graph of function f is compressed vertically toward the x-axis by a factor of 4.
C.
The graph of function f is stretched vertically away from the x-axis by a factor of 4.
D.
The graph of function f is shifted down 4 units.

Answers

Answer:

A

Step-by-step explanation:

The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units

A typical person begins to lose consciousness if subjected to accelerations greater than about 5 g(49.0 m/s^2) for more than a few seconds. Suppose a 3.00×10^4−kg manned spaceship's engine has an exhaust speed of 2.50×10^3 m/s. What maximum burn rate ∣ΔM/Δt∣ could the engine reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness?

Answers

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Pleasure help mee !!???

Pleasure help mee !!???

Answers

Answer:

28. Just divide 1876 by 67.

Step-by-step explanation:

Answer:

28 I believe

Step-by-step explanation:

Solve the following expression when
x = 7 and y = 2
(y + 2) · (x + 4 – 5)

Answers

Answer:

24

Step-by-step explanation:

4 x 6 = 24

Two less than the quotient of a number and 8 is 1/4.Find the number

Answers

For the given problem:

Let the number = x

Two less than the quotient of a number and 8 is 1/4

so, we can write the following expression:

\(\frac{x}{8}-2=\frac{1}{4}\)

Now, solve the equation to find (x)

Multiplying by (8) to eliminate the denominators:

\(\begin{gathered} 8\cdot(\frac{x}{8}-2)=8\cdot\frac{1}{4} \\ \\ 8\cdot\frac{x}{8}-8\cdot2=\frac{8}{4} \\ x-16=2 \end{gathered}\)

Add (6) to both sides:

\(\begin{gathered} x-16+16=2+16 \\ x=18 \end{gathered}\)

So, the answer will be the number is 18

What’s the answer and how do I find it?

Whats the answer and how do I find it?

Answers

Answer:

\( \dfrac{3a^2 + 3b}{a^2 - b^2} \)

Step-by-step explanation:

You can try factoring the numerator and denominator.

\( \dfrac{3a^2 + 3b}{a^2 - b^2} = \dfrac{3(a^2 + b)}{(a + b)(a - b)} \)

Nothing cancels out, so the expression is simplified as given.

Answer: \( \dfrac{3a^2 + 3b}{a^2 - b^2} \)

12.5% of a number is 25, find the number

Answers

Answer:

200

Step-by-step explanation:

Let's call the number x :
12.5% of x = 25

Changing 12.5% into decimal would be 0.125

Now we have the equation :

0.125x = 25

Divide both sides by 0.125 to make x the subject :

x = 25 ÷ 0.125

x = 200

To check we can substitute this value into the question :

12.5% of 200 = 25

Hope this helped and have a good day

how many Hershey kisses can be made with 200 gallons of liquid chocolate? estimate, analyze and explain your answer

Answers

Answer: To estimate how many Hershey's Kisses can be made with 200 gallons of liquid chocolate, we need to make a number of assumptions and estimates based on the available information.

First, we need to determine how much liquid chocolate is required to make a single Hershey's Kiss. This information is not readily available, but we can estimate based on the weight of a single Kiss and the density of chocolate. According to Hershey's website, a single Hershey's Kiss weighs about 4.5 grams. The density of chocolate varies depending on the type of chocolate and the specific recipe, but we can assume a density of around 1.2 grams per milliliter.

To convert 200 gallons to milliliters, we can use the conversion factor 1 gallon = 3785.41 milliliters. So:

200 gallons x 3785.41 milliliters/gallon = 757,082 milliliters

Assuming a density of 1.2 grams per milliliter, 757,082 milliliters of liquid chocolate would weigh:

757,082 milliliters x 1.2 grams/milliliter = 908,498 grams

Dividing this total weight of chocolate by the weight of a single Hershey's Kiss (4.5 grams) gives an estimate of the total number of Kisses that could be made with 200 gallons of liquid chocolate:

908,498 grams ÷ 4.5 grams/Kiss ≈ 201,778 Kisses

Of course, this is a rough estimate that makes a number of assumptions and simplifications. In reality, the actual number of Hershey's Kisses that could be made with 200 gallons of liquid chocolate would depend on a variety of factors, including the specific recipe and production process, as well as the size and shape of the Kisses themselves. However, this estimate provides a reasonable starting point for further analysis and exploration.

Step-by-step explanation:

when we roll a pair of balanced dice, what are the probabilities of getting 2, 3, or 12

Answers

The probabilities of getting 2, 3, or 12 when rolling a pair of balanced dice are as follows:

Probability of getting 2: 1/36 or approximately 0.0278

Probability of getting 3: 2/36 or approximately 0.0556

Probability of getting 12: 1/36 or approximately 0.0278

To calculate the probabilities, we need to determine the number of favorable outcomes (rolling the desired sum) and the total number of possible outcomes (all the different combinations when rolling two dice).

For each possible outcome, the sum of the numbers on the two dice ranges from 2 to 12. Here's the breakdown:

To get a sum of 2, there is only one favorable outcome: rolling a 1 on both dice (1 + 1). The total number of possible outcomes is 6 * 6 = 36 since each die has 6 sides. Therefore, the probability of getting 2 is 1/36.

To get a sum of 3, there are two favorable outcomes: rolling a 1 and 2, or rolling a 2 and 1 (1 + 2 or 2 + 1). The probability is 2/36.

To get a sum of 12, there is only one favorable outcome: rolling a 6 on both dice (6 + 6). Again, the probability is 1/36.

When rolling a pair of balanced dice, the probabilities of getting 2, 3, or 12 are 1/36, 2/36, and 1/36, respectively.

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solve for a: 2(2a+3)-6=5a+2

Answers

Answer: a = -2

4a + 6 - 6 = 5a + 2

4a = 5a + 2

Subtract 5a from both sides

-a = 2

A = -2

Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?

Answers

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Solve for x.
21 + 3x = -15

Answers

The answer to this question is x=-12

Answer:

21+3x=-15

-21 -21

3x=-36

÷3 ÷3

x=-12

x=-12

calculate the partial derivatives ∂∂∂u∂t and ∂∂∂t∂u using implicit differentiation of (−)2ln(−)=ln(2)(tu−v)2ln(w−uv)=ln(2) at (,,,)=(1,1,2,4).

Answers

Therefore, at the given point (1, 1, 2, 4), ∂u/∂t = (ln(2) / 2) × ∂t/∂u, and ∂t/∂u cannot be determined from the given equation.

To calculate the partial derivatives ∂u/∂t and ∂t/∂u using implicit differentiation of the given equation, we'll differentiate both sides of the equation with respect to the variables involved, treating the other variables as constants.

Let's break it down step by step:

Given equation: (-2ln(-x) = ln(2)(tx - v) × 2ln(w - uv) = ln(2)

We'll differentiate both sides of the equation with respect to u and t, treating x, v, and w as constants.

Differentiating with respect to u:

Differentiate the left-hand side:

d/dt (-2ln(-x)) = d/dt (ln(2)(tx - v))

-2(1/(-x)) × (-1) × dx/du = ln(2)(t × du/dt - 0) [using chain rule]

Simplifying the left-hand side:

2(1/x) × dx/du = ln(2)t × du/dt

Differentiating with respect to t:

2ln(w - uv) × d/dt (w - uv) = 0 × d/dt (ln(2))

2ln(w - uv) × (dw/dt - u × dv/dt) = 0

Since the second term on the right-hand side is zero, we can simplify the equation further:

2ln(w - uv) × dw/dt = 0

Now, we substitute the given values (1, 1, 2, 4) into the equations to find the partial derivatives at that point.

At (1, 1, 2, 4):

-2(1/(-1)) × dx/du = ln(2)(1 × du/dt - 0)

2 × dx/du = ln(2) × du/dt

dx/du = (ln(2) / 2) × du/dt

2ln(w - uv) × dw/dt = 0

Since the derivative is zero, it doesn't provide any information about ∂t/∂u.

Therefore, at the given point (1, 1, 2, 4):

∂u/∂t = (ln(2) / 2) × ∂t/∂u

∂t/∂u cannot be determined from the given equation.

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Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram

Answers

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Find the value of a and b

Find the value of a and b

Answers

Answer:

a = 133 degrees

b = 78 degrees

Step-by-step explanation:

the top and bottom lines are parallel.

the two sidelines are lines that intercept the top and bottom lines.

as they intercept parallel lines, they actually must have the same angles with them.

so, the 47 degrees inner angle at the bottom line, must be also somewhere at the interception point with the top line. and right, it must be now mirrored the outward angle at the top line. and that means a (the inward angle at the top line) is also the outward angle at the bottom line.

the sum of inward and outward angles at a point must always be 180 degrees.

so, the outward angle of 47 = the inward angle a =

= 180 - 47 = 133 degrees.

similar in the other side.

102 is the inward angle.

the outward angle of that is 180 - 102 = 78 degrees.

and that is also the inward angle b.

b = 78 degrees

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