please please help me

Answer:

4:3 i think

Step-by-step explanation:

He changes the oil in his car 4 times each year. There are 12 months in one year. He changes the oil every 12 months. Divide 12 by 4. Zane changes the oil in his car every three months.

Rounding this to the nearest foot, we get an estimate of 3 feet for the radius of the circle.

A circle is a two-dimensional geometric shape that consists of all the points that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius, and the distance across the circle through the center is called the diameter. The circumference of a circle is the distance around the circle, and it is equal to 2π times the radius or π times the diameter. Circles are important in many areas of mathematics and physics, and they have many practical applications in everyday life, such as in wheels, gears, and round containers.

by the question.

To estimate the radius of the circle, we need to use the formula for the area of a sector, which is:

Area of sector = (θ/360) x π x\(r^{2}\)

where θ is the central angle of the sector, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14.

Let's call the radius of the circle "x" for now, and set up an equation using the given information:

51.3 = (120/360) x π x \(x^{2}\)

Simplifying this equation, we get:

\(x^{2}\) = (51.3 x 360)/(120 x π)

x^2 ≈ 10.95

x ≈ √10.95

x ≈ 3.31

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The equation of a line that is parallel to the line 2x - 5y = 10 and passes through the point (-5, 1) is B. 2x - 5y = -5.

To find the equation of a line that is parallel to the line 2x - 5y = 10, we need to determine the slope of the given line first. The equation is in the form of Ax + By = C, where A = 2, B = -5, and C = 10.

To find the slope, we can rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope.

2x - 5y = 10

-5y = -2x + 10

y = (2/5)x - 2

From this equation, we can see that the slope of the given line is 2/5.

A line that is parallel to this line will have the same slope. Therefore, the equation of the parallel line can be determined using the point-slope form (y - y1 = m(x - x1)), where (x1, y1) represents the coordinates of the given point (-5, 1).

Using the slope of 2/5 and the point (-5, 1), we can now check the options to see which ones satisfy the conditions:

A. y = -x - 1: This equation has a slope of -1, not 2/5. It is not parallel to the given line.

B. 2x - 5y = -5: This equation has the same slope of 2/5 and passes through the point (-5, 1). It satisfies the conditions and is parallel to the given line.

C. y = -x - 3: This equation has a slope of -1, not 2/5. It is not parallel to the given line.

D. 2x - 5y = -15y: This equation has a slope of 2/20, which simplifies to 1/10. It is not parallel to the given line.

E. -1 = -(x - 5): This equation does not represent a line. It is not a valid option.

Therefore, the equation of a line that is parallel to the line 2x - 5y = 10 and passes through the point (-5, 1) is B. 2x - 5y = -5.

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a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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Answer:

braiiiiiiiiinlllllllyyyyyyyyest

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

when doing synthethic divison the cofeccient on the denominator has to be 1 (and also has to be raised to the first degree)

Answer:

(3/2, 0, 1)

Step-by-step explanation:

From 2x+y=3 we have => y=3-2x

From 2y-4z=-4 we have -4z=-2y-4 => z=1/2y+1 => z=1/2 (3-2x) +1 => z=5/2-x

Plug in y & z to find x

2x−y+3z=6 => 2x+(3-2x)+3(5/2-x)=6 => 2x+3-2x+15/2-3x=6 => 21/2-3x =6 => x=3/2

plug in x to find y

2x+y=3 => 2(1.5) + y =3 => y=0

plug in y to find z

2y -4z =-4 => 2(0)-4z=-4 => -4z=-4 => z=1

Answer:

(2/4)X

Step-by-step explanation:

There are 18 deluxe rooms in the hotel.

To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.

The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:

Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)

= 100% - (55% + 30%)

= 100% - 85%

= 15%

So, 15% of the total rooms in the hotel are deluxe rooms.

To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:

Number of deluxe rooms = 15% of 120 rooms

= (15/100) * 120

= 0.15 * 120

= 18

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Step-by-step explanation:

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

Answer: True

Step-by-step explanation:

Correlation coefficients examine the relationship between variables.

They help in determining the strength and direction of the association between two continuous variables, making it easier to understand and interpret their connection.

Correlation coefficients are statistical measures used to examine the relationship between two or more variables. The correlation coefficient quantifies the degree to which the variables are related or associated with each other.

A positive correlation coefficient indicates that when one variable increases, the other variable also tends to increase, while a negative correlation coefficient indicates that when one variable increases, the other variable tends to decrease.

A correlation coefficient of zero indicates no relationship between the variables.

Correlation coefficients are often used in research studies to examine the strength and direction of the relationship between two variables.

For example, in a study examining the relationship between exercise and weight loss, a correlation coefficient could be calculated to determine how strongly exercise and weight loss are related.

It is important to note that correlation does not imply causation, and a strong correlation between two variables does not necessarily mean that one variable causes the other.

Correlation coefficients are simply used to describe the relationship between two variables and to identify patterns in the data.

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Answer:

  Both are correct with respect to the final purchase price.

  Lisa is correct, in terms of appropriate accounting procedure

Step-by-step explanation:

The total amount paid by Lisa's method and by Ross's method will be the same. The multiplication factors in each case are (1-0.15) = 0.85 and (1 +0.08) =  1.08. The commutative property of multiplication tells you the product is the same, regardless of the order in which the factors are applied.

The order of application of tax and discount does not matter for the final price.

__

As a practical matter, Lisa is correct. The store will owe sales tax to the government based on the net sales of the store. If the cash register records the sale as $495, then extra accounting steps are required so the store can avoid paying tax on that amount. However, if the cash register records the sale as 15% less than $495, the tax paid to the government is easily justified.

__

The attachment shows the intermediate computed values in both cases. The final value is the same.

The amount of the loan Cher took out to buy the motorcycle is $9839.

Here, we have,

To find the amount of the loan, we need to calculate Cher's total assets and then subtract her total liabilities (debts).

Given:

Value of motorcycle = $11,357

Cash = $605

Savings account = $1,811

Net worth =$3,934

Total assets = Value of motorcycle + Cash + Savings account

Total assets = $11,357 + $605 + $1,811

Total assets = $13,773

To find the amount of the loan, we subtract the total assets from the net worth:

Loan amount = Total assets - Net worth

Loan amount = $13,773 -$3,934

Loan amount = $9839

Hence, The amount of the loan Cher took out to buy the motorcycle is $9839.

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Answer:

(-0.5, 0.5)

Step-by-step explanation:

midpoint formula:

[(x₁ + x₂) / 2] , [(y₁ + y₂) / 2]

[(9/2 - 11/2) / 2], [(3/8 + 5/8) / 2]

[(-1) / 2], [(1) / 2]

(-0.5, 0.5)

If P = (X, Y) is a point in the given square, then X and Y are i.i.d random variables each with distribution

\(\displaystyle P(X = x) = \begin{cases}\dfrac14 & \text{if } -2 \le x \le 2 \\ 0 & \text{otherwise}\end{cases}\)

and so the joint density of X and Y is

\(\displaystyle P(X = x, Y = y) = \begin{cases}\dfrac1{16} & \text{if }-2 \le x \le 2 \text{ and } -2 \le y \le 2 \\ 0 &\text{otherwise}\end{cases}\)

We want to find P(X² + Y² ≤ 1). Points that satisfy this inequality lie in the set

R = {(x, y) : -1 ≤ x ≤ 1 and -√(1 - x²) ≤ y ≤ √(1 - x²)}

but we can more easily describe the region in polar coordinates by setting

x = r cos(t) and y = r sin(t)

so that the set R is identical to

R' = {(r, t) : 0 ≤ r ≤ 1 and 0 ≤ t ≤ 2π}

Integrate the joint density over R' :

\(\displaystyle P(X^2 + Y^2 \le 1) = \iint_R \frac1{16} \, dx \, dy\)

\(\displaystyle P(X^2 + Y^2 \le 1) = \iint_{R'} \frac r{16} \, dr \, dt\)

\(\displaystyle P(X^2 + Y^2 \le 1) = \int_0^{2\pi} \int_0^1 \frac r{16} \, dr \, dt\)

\(\displaystyle P(X^2 + Y^2 \le 1) = \int_0^{2\pi} \frac{1^2 - 0^2}{32} \, dt\)

\(\displaystyle P(X^2 + Y^2 \le 1) = \frac1{32} \int_0^{2\pi} dt\)

\(\displaystyle P(X^2 + Y^2 \le 1) = \frac{2\pi-0}{32}\)

\(\displaystyle P(X^2 + Y^2 \le 1) = \boxed{\frac{\pi}{16}}\)

The dependent variable in the regression analysis that will be conducted is the salary offered (W) to university graduates.

It is considered the dependent variable because it is the variable that is predicted or explained by the Grade Point Average (G), which is the independent variable. The regression analysis will help to determine how much the salary offered varies with changes in the Grade Point Average, and the mathematical equation derived from the analysis will be used to predict the salary offered based on a given Grade Point Average.

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Main Answer:The circumstances under which the shape of the sampling distribution of pn is approximately normal.

Supporting Question and Answer:

What is the Central Limit Theorem and how does it relate to the shape of the sampling distribution of pn?

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean (or sum) approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. This theorem is applicable to the sampling distribution of pn (proportion) because the proportion can be considered as the sample mean of a binary variable (success or failure). As the sample size increases, the Central Limit Theorem ensures that the sampling distribution of pn becomes more approximately normal, making it a useful approximation for making inferences about the population proportion.

Body of the Solution:The shape of the sampling distribution of pn (proportion) is approximately normal under certain circumstances. These circumstances are related to the properties of the population being sampled and the sample size. Here are the key factors:

1.Large sample size: The sampling distribution of pn tends to become more approximately normal as the sample size increases. This is known as the Central Limit Theorem. As the sample size grows larger, the distribution of sample proportions approaches a normal distribution regardless of the shape of the population distribution.

2.Random sampling: The sample should be selected randomly from the population to ensure that each member of the population has an equal chance of being included in the sample. Random sampling helps to ensure that the sample is representative of the population.

3.Independence assumption: The sampled observations should be independent of each other. This means that the selection of one observation should not influence the selection or behavior of other observations. Independence is crucial to ensure that the sampling distribution accurately reflects the population distribution.

4.Adequate population size: If the population size is sufficiently large,

relative to the sample size, the shape of the sampling distribution of pn is approximately normal. In practice, if the population is at least 10 times larger than the sample size, this condition is considered to be met.

5.Binomial distribution approximation: The shape of the sampling distribution of pn is also approximately normal when the underlying population distribution follows a binomial distribution. The binomial distribution is characterized by a fixed number of trials and two possible outcomes (success or failure) for each trial.

Final Answer: These circumstances increase the likelihood of the sampling distribution of pn being approximately normal, it does not guarantee it in all cases. In practice, checking the normality of the sampling distribution can be done using statistical tests or graphical methods, such as a histogram or a normal probability plot.  

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The circumstances under which the shape of the sampling distribution of pn is approximately normal.

The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean (or sum) approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. This theorem is applicable to the sampling distribution of pn (proportion) because the proportion can be considered as the sample mean of a binary variable (success or failure). As the sample size increases, the Central Limit Theorem ensures that the sampling distribution of pn becomes more approximately normal, making it a useful approximation for making inferences about the population proportion.

The shape of the sampling distribution of pn (proportion) is approximately normal under certain circumstances. These circumstances are related to the properties of the population being sampled and the sample size. Here are the key factors:

1.Large sample size: The sampling distribution of pn tends to become more approximately normal as the sample size increases. This is known as the Central Limit Theorem. As the sample size grows larger, the distribution of sample proportions approaches a normal distribution regardless of the shape of the population distribution.

2.Random sampling: The sample should be selected randomly from the population to ensure that each member of the population has an equal chance of being included in the sample. Random sampling helps to ensure that the sample is representative of the population.

3.Independence assumption: The sampled observations should be independent of each other. This means that the selection of one observation should not influence the selection or behavior of other observations. Independence is crucial to ensure that the sampling distribution accurately reflects the population distribution.

4.Adequate population size: If the population size is sufficiently large,

relative to the sample size, the shape of the sampling distribution of pn is approximately normal. In practice, if the population is at least 10 times larger than the sample size, this condition is considered to be met.

5.Binomial distribution approximation: The shape of the sampling distribution of pn is also approximately normal when the underlying population distribution follows a binomial distribution. The binomial distribution is characterized by a fixed number of trials and two possible outcomes (success or failure) for each trial.

These circumstances increase the likelihood of the sampling distribution of pn being approximately normal, it does not guarantee it in all cases. In practice, checking the normality of the sampling distribution can be done using statistical tests or graphical methods, such as a histogram or a normal probability plot.  

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

The answer is 4 dogs

Step-by-step explanation:

Let the number of dogs be x

=>The number of cats = 2x

=> The number of parrots = 3x

2x + 3x = 20

=>5x = 20

=>5x ÷ 5 = 20 ÷ 5

=>x = 4

They could have the maximum number of dogs is 4 dogs.

The given is,

An animal shelter has a total of 20 cats, dogs, and parrots.

There are at least twice as many cats as dogs and at least 3 times as many parrots as dogs.

A maximum is a unique number for a given set of data. This number can be repeated, but there is only one maximum for a data set.

Let the number of dogs be x

The number of cats = 2x

The number of parrots = 3x

2x + 3x = 20

5x = 20

5x / 5 = 20 / 5

x = 4

Therefore the are 4 dogs.

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Regarding following equations the value of x is 3/7, CB is 75/7, and BD is 44/7.

Given that B is between C and D, we can establish the following relationship: CB + BD = CD.

Substituting the given values, we have:

4x + 9 + 3x + 5 = 17

Combining like terms, we get:

7x + 14 = 17

Subtracting 14 from both sides:

7x = 3

Dividing both sides by 7:

x = 3/7

Now that we have found the value of x, we can substitute it back into the equation to find the lengths of CB and BD.

CB = 4x + 9 = 4(3/7) + 9 = 12/7 + 63/7 = 75/7

BD = 3x + 5 = 3(3/7) + 5 = 9/7 + 35/7 = 44/7

Therefore, the value of x is 3/7, CB is 75/7, and BD is 44/7.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

The withdrawal of $170 can be represented as -$170.

Since withdrawal results in a deduction of the money from the total amount, Hence, it will be represented as a negative value.

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Avery write an explicit equation is  t(n)=19+(n-1)*(-2)=21-2n and a  Collin write a recursive equation is t(n+1)=t(n)/6-10/3.

What is explicit equation & recursive equation?

A closed-form expression or a mathematical expression expressed in terms of a limited set of well-known functions are examples of explicit formulas. the mathematical formula expressed analytically, using a limited or infinite number of well-known functions.

A recursive function is one that generates a series of phrases by repeating or using its own prior term as input. The arithmetic-geometric sequence, which has words with a common difference between them, is typically the basis on which we learn about this function.

To write an explicit equation, we can use the given recursive equation and find the value of the first term, t(1).

Substituting n=1 into t(n+1)=t(n)−2

gives t(2)=t(1)−2.

We know that t(2)=19, so t(1)=19+2=21.

Thus, the explicit equation for the sequence is t(n)=19+(n-1)*(-2)=21-2n. This is an arithmetic sequence.

To write a recursive equation, we can use the explicit equation that Avery wrote, t(n)=6n+8.

Rearranging this equation gives n=(t(n)-8)/6.

Substituting this expression into the recursive equation t(n+1)=t(n)−2 gives t(n+1)=(t(n)-8)/6−2.

Expanding t(n) on the right-hand side and simplifying gives t(n+1)=t(n)/6-10/3.

A explicit equation is  t(n)=19+(n-1)*(-2)=21-2n and a recursive equation is t(n+1)=t(n)/6-10/3.

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Minimum value = 3, Q1 = 4, Median = 6, Q3 = 10.5, Maximum value = 15.

Minimum value = 3

To find Q1 (the first quartile):

Arrange the data in ascending order: 3, 4, 4, 6, 6, 8, 9, 12, 15

Find the median of the lower half of the data: 3, 4, 4, 6, 6 → median = 4

Q1 is the median of the lower half of the data: Q1 = 4

Median (second quartile) = 6

To find Q3 (the third quartile):

Arrange the data in ascending order: 3, 4, 4, 6, 6, 8, 9, 12, 15

Find the median of the upper half of the data: 8, 9, 12, 15 → median = 10.5

Q3 is the median of the upper half of the data: Q3 = 10.5

Maximum value = 15

Therefore, the statistical measures for the given data set are:

Minimum value = 3, Q1 = 4, Median = 6, Q3 = 10.5, Maximum value = 15.

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The given question is incomplete, the complete question is:

Answer the statistical measures for the following set of data.3,4,4,6,6,8,9,12,15. Fill in the blanks. Minimum value =  , Q₁ =  , Median = , Q₃ = and maximum value =  of the given data set.

Answer:

10x-22

Step-by-step explanation:

((x+2)(x-1))-((x-4)(x-5))

(x^2-x-2)-(x^2-9x+20)

     x^2 + x - 2

+  (-x^2+9x-20)

_______________

       10x-22

Answer:

12

Step-by-step explanation:

2 + 3 + 7 pathways = 12 :)

Answer:

11

Step-by-step explanation:

a

Step-by-step explanation:

x + 149° = 180° {Being linear pair }

x = 180° - 149°

x = 31°

Hope it will help :)❤

Answer:

180-149 = 31

that's right