I need help with 18-27

Answer:

y=10°

Step-by-step explanation:

Here,

→(3x+18)°=(5x-4)°

→18°+4°=5x-3x

→22°=2x

→x=11°

Also,

3(4y+3)°+5x-4°=180°[The sum of the linear pair is 180°]

12y+9°+5x-4°=180°

12y+5°+5×11°=180°

12y+5°+55°=180°

12y=180°-60°

12y=120°

y=120°/12

y=10°

Opposite angles are equal

Now

linear pairs are supplementary

Answer:

4979

Step-by-step explanation:

When f(x) = 20

Then

5x + 10 = 20

Therefore

5x=20-10=10

x = 10 / 5 = 2

x= 2

Answer:

1.75=5n or 5n=1.75

Step-by-step explanation:

There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75

Answer:

5n=1.75

Step-by-step explanation:

the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.

here, we have assumed that  1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle

The equation in slope-intercept form is given as:

y = mx + c

m = slope

c = y-intercept

The equation in slope-intercept form is y = 75x + 150

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

We have,

Hourly charges = $75

One-time fee = c

Total charges for 5 hours = $525

We can say that the one-time fee is:

525 = 5 x 75 + c

525 = 375 + c

c = 525 - 375

c = 150

Now,

The equation in the point-slope form:

y = 75x + 150

Where,

y = total charge

x = number of hours

150 = one-time fee

Thus,

The equation in slope-intercept form is y = 75x + 150

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1

Answer: y=10

Step-by-step explanation:

5y-8=42

5y= 50

y= 50/5

y= 10

Answer:

y=8x and y=x+3

Step-by-step explanation:

To begin, we can establish that both of these questions are linear, which means the graph of both will be a straight line.

To represent a linear equation, we need to identify the slope.

This can be done with the formula:

m=y2-y1/x2-x1

where (x1, y1) and (x2, y2) are both points that are given and m is our slope.

Afterward, we can plug this into point-slope form which is:

(y-y1)=m(x-x1)

where (x1, y1) is any given point.

We can then simplify that into slope-intercept form which looks like:

y=mx+b

Find the slope:

I will be using points (2, 16) and (3, 24) and plugging that into the slope formula above.

m=24-16/3-2

m=8/1

m=8

I then will plug it into point-slope form and convert it into slope-intercept form:

y-16=8(x-2)

y-16=8x-16

y=8x

Find the slope:

I will be using points (2, 5) and (4, 7) and plugging that into the slope formula above.

m=7-5/4-2

m=2/2

m=1

I then will plug it into point-slope form and convert it into slope-intercept form:

y-5=1(x-2)

y-5=x-2

y=x+3

Learn more at these related links:

https://brainly.com/question/28028709

https://brainly.com/question/16911650

Answer:

x = 20 degrees

y = 128 degrees

Step-by-step explanation:

First, lets solve for x:

3x-8 = 2x + 12

x = 20 degrees

Let's check our work:

60 - 8 = 40 + 12

52 = 52

Now, lets solve for y:

360 - 104 = 256

Why 360? Because 360 degrees = full circle

256/2 = 128 degrees

y = 128 degrees

Why divided by 2? Because there are 2 parts that are equal (y)

Hope this helps! Sorry for the late answer!

--Applepi101

The triangle is a scalene triangle.

The measures of the three angles of a triangle are x, x+10, and 2x-6. What type of triangle must it be? The sum of the measures of the three angles in a triangle is 180 degrees, which means that:

   x + x + 10 + 2x - 6 = 180

This simplifies to,

   4x + 4 = 180,

   or 4x = 176, or x = 44

Once we have found x, we can now find the measures of the three angles of the triangle: the first angle is x, which is 44°, the second angle is x+10, which is 54°; and the third angle is 2x-6; which is 82°. A scalene triangle is a triangle with all sides and angles of unequal lengths. Since none of the angles has the same measure, the triangle is scalene. The correct answer is option C. Scalene Triangle.

Learn more about types of triangle: https://brainly.com/question/1058720

#SPJ11

Answer:

It would take 10 years for the given sum of money be doubled at the given simple interest rate.

Step-by-step explanation:

A 10% interest would be added to the the principal amount after each year. So  the interest would reach 100% i.e. equal to the principal amount in 10 years.

Answer:

This means you can find the length of one side by square rooting the area, since Area=side x side anyways.Therefore, the length of a side is the sq. root (144 ft. ^2)=12 ft

Step-by-step explanation:

Answer:

p=50

Step-by-step explanation:

39 add 11

Answer & Step-by-step explanation:

The domain of a set of points refers to the input, also known as the x values. To find the domain, record all the x values given (x,y):

\(domain={-2,0,3,5}\)

:Done

**The range is the output, aka the y values.

Answer:

G

Step-by-step explanation:

you just see the place value of the number you are multiplying by and you you put the place value. For example ( 3× 0.01)   is going to be ( 0.03) if it makes it easier just take the 3 and substitute it for the 1.

Hope this helped  : )

Answer:

Option B

Step-by-step explanation:

Set 1:

med: 76, Range: 50-65= 15IQR: 77-73= 4

find the median, range, and IQRfor each data set.

Set 2:

med: 60, Range: 68-55= 13,IQR: 63-59= 4

76- 60 =16

find the difference of the medians 16 is 4 times 4

so the difference of the medians is 4 times the IQR

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

hope it helps...

have a great day!!

Answer:

a. y = 0

b. x = 0

c. y = x

d. y = -x

Step-by-step explanation:

a. Since it is a horizontal line, its gradient does not change so its gradient shall remain as 0. Thus, y = 0x which is basically y = 0.

b. Since it is a vertical line, it is impossible to define its gradient or y-intercept but its x-intercept would always be at 0 so x = 0.

c. Since it is a line that is gradually getting higher across the x-axis, its gradient would be 1. It's y-intercept is 0 so the equation of this line would be y = 1x + 0, which is basically y = x. (We don't write 1x, but rather just x, putting zeros behind an equation is redundant)

d. Since it is a line that is gradually getting lower across the x-axis, its gradient would be -1. It's y-intercept is also 0 so the equation of this line would be y = -1x + 0, which is basically y = -x ((We don't write -1x, but rather just -x, putting zeros behind an equation is redundant)

The data value that corresponds to the 46th percentile is 10.

To find the data value that corresponds to the 46th percentile, we need to arrange the given data in ascending order and then identify the value at the desired percentile.

Arranging the data in ascending order:

7, 12, 14, 16, 19, 19, 19, 25, 25, 27, 28, 28, 34, 37, 38, 40, 53, 69, 92, 115, 200

Since we have 21 data values, the 46th percentile corresponds to the (46/100) * 21 = 9.66th value.

To find the corresponding data value, we round up the decimal value to the nearest whole number, which is 10.

for more questions on percentile

https://brainly.com/question/30705745

#SPJ8

Answer:

-9z²

Step-by-step explanation:

-(3z)²

-(3z * 3z)

-(9z)

-9z²

Best of Luck!

No, it is not a valid discrete probability distribution because the probabilities do not add up to 1.

What is discrete probability distribution?

Events with countable or finite outcomes are counted in a discrete probability distribution. Contrasting with continuous distributions, which allow results to fall anywhere along a continuum, are discrete distributions.

We are given a table which shows the probabilities at different values of x.

It is clear that all the probabilities are between 0 and 1.

The sum of the probabilities is:

0.111 + 0.214 + 0.312 + 0.163 + 0.159 = 0.959

Since, the probabilities do not add up to 1, so it is not a valid discrete probability distribution.

Hence, Option D is the correct solution.

Learn more about  discrete probability distribution from the given link

https://brainly.com/question/17145091

#SPJ1

A Markov chain model, also known as a Markov process or simply a Markov model, is a mathematical framework used to describe and analyze systems that evolve over time.

To create a Markov chain model for a rat wandering through the maze, we need to consider the different states the rat can be in and the probabilities of transitioning between these states.

In this maze, the rat can be in different rooms. Let's say there are three rooms: A, B, and the center room (C). The center room is an absorbing state, which means that once the rat enters this room, it will stay there and not move to any other room.

To create the Markov chain, we need to define the transition probabilities between the different rooms. Since the rat is equally likely to leave its current room through any of the doorways, the transition probabilities for each room will be 1/3.

Here is an example of the transition probabilities:

1. From room A:
  - Probability of transitioning to room B: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room A: 1/3

2. From room B:
  - Probability of transitioning to room A: 1/3
  - Probability of transitioning to the center room C: 1/3
  - Probability of staying in room B: 1/3

3. From the center room C:
  - Probability of staying in room C: 1

Once the transition probabilities are defined, we can represent the Markov chain using a transition matrix. In this case, the transition matrix will be a 3x3 matrix, where each row represents the current room and each column represents the next possible room. The values in the matrix will correspond to the transition probabilities.

Transition matrix:
```
| 1/3   1/3   1/3 |
| 1/3   1/3   1/3 |
|   0     0     1   |
```

Note that the last row of the matrix represents the absorbing state (center room C), where the probability of transitioning to any other room is 0, and the probability of staying in the center room is 1.

By using this Markov chain model, we can analyze the rat's behavior and calculate probabilities of different events, such as the number of periods it takes for the rat to reach the center room or the probability of the rat being in a specific room after a certain number of periods.

To know more about Markov chain model, visit:

https://brainly.com/question/30465344

#SPJ11

Answer:

1. 4x3<7×3

12×2<21×2

24×4<42×4

96×9<168×9

864<1512

2. 11+3>-2+3

14+3>1+3

17_4>4-4

13>0

3. -2/leg-2

-18/leg-18

4. -4<8

0<2

Answer:

4

Step-by-step explanation:

2/9 + 2/9 + 2/9 + 2/9 =  8/9

That the equation of the line is y = 7x - 50.

The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).

In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.

Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).

Simplifying, we find that the equation of the line is y = 7x - 50.

Learn more about equation of the line here :

https://brainly.com/question/29774095

#SPJ4

Answer:

Step-by-step explanation:

1).

Answer:

x = 15.8

Step-by-step explanation: