Given m||n, find the value of x.
(7x-1)º
(9x+5)º

Answer:

x=65°

Step-by-step explanation:

Solution Given:

let the point having angle 115° be e.

and point having side containing a and c be f.

we have

∡bec+115°= 180° being linear pair

∡bec=180°-115°=65°

again

∡bec= ∡afc=65° being corresponding angle

again

∡afc=x°=65° being corresponding angle

The inequality that represents the graph is option D: 13x - 3y - 14 < 0.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The x-intercept is a = 1.077

The y-intercept is b = -4.677

The equation of line having x-intercept a and y-intercept b is -

x/a + y/b = 1

The equation of line having x-intercept 1.077 and y-intercept -4.677 is -

x/1.077 + y/-4.677 = 1

y/-4.677 = 1 - x/1.077

y = (1 - x/1.077)-4.677

y = -4.677 + 4.677x/1.077

y = -4.677 + 4.342x

Multiply both sides by 3 -

3y = 3(-4.677 + 4.342x)

3y = -14.031 + 13.026x

Now, the line 3y = -14.031 + 13.026x divide the xy-plane in two regions and the region given in the graph is satisfied by the origin.

Also, the line 3y = 14.031 + 13.026x is dotted and not dark ,therefore, the points on the line are not included in the shaded region.

Therefore, the inequality that represents the shaded region is -

0 > - 3y - 14.031 + 13.026x ≈ 13x - 3y - 14 < 0

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According to Eltis, the Atlantic economy became more beneficial to slavery as a result of the rising demand for commodities that could be produced at a low cost by slaves, such as sugar, coffee, tobacco, and cotton textiles.

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Answer: 2 would be on the 3rd number on the number line, 1 would be before that, and negative one is 1 below 0 means it would be the one in between -2 and 0. Have a nice day ;)

Answer:

581 divided by 8 should be 72 with a remainder of 5

Step-by-step explanation:

to check if i was correct i did 72 times 8 plus 5 and got 581

The table is given as,

Z- Score     -0.299

Q₁                  36.47

Q₂                  38.45

Q₃                  41.2

IQR               4.25

Lower fourth   30.375

Upper fourth       47.375

An illustration of a standardised score is the z-score. A z-score calculates how far a data point deviates from the distribution's mean by standard deviation.

Given:

Sample Data = 31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7, 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3

(a) The value of z-score is calculated as follows,

μ =[tex]\sum_{i=1}^n X_i[/tex]/ n = 933.1 /24 = 38.88

σ = 3.61

z = X - μ / σ  

  = 37.8 - 38.88/3.61

  = −  0.299

Therefore, the value of z-score is -0.299.

(b) Quartile:

Recalling the values: 31.5, 36, 37.8 ,38.5, 40.1 ,42.2, 34.2 ,36.2, 38.1, 38.7, 40.6 ,42.5, 34.7, 37.3 ,38.2, 39.5 ,41.4, 43.4, 35.6, 37.6 ,38.4 ,39.6 ,41.7, 49.3

Q₁ = ( n+1/4)th value

= (24+1/4)th value

= 6.25th value  

=  36.2 + 0.25 x ( 37.3 −  36.2 )  

= 36.47

and, M = ( n+1/2)th value

= (24+1/2)th value

= (24+1/4)th value

=  12.5 t h

= 38.4 + 38.5/2

= 38.45

Q₃ = 3( n+1/4)th value

= 3(24+1/4)th value

= 18.75 t h  v a l u e

= 40.6 + 0.75 x ( 41.4  −  40.6 )  

= 41.2

(c) Interquartile​ range =  Q ₃ −  Q ₁  

= 41.2  −  36.47  

= 4.25

Therefore, the IQR value is measure of spread of data, and here the value of IQR = 4.25.

(d) Lower fences =  Q₁− 1.5 ( I Q R )  

                            =  36.75 −  1.5  ( 4.25 )  

                            =   30.375  

Upper fences = Q ₃+1.5

                       =  41 + 1.5( 4.25 )  

                       = 47.375

Hence, there is outliers since observations are not less than 30.375 and greater than 47.375.

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The mean of the histogram is 904.8

The mean of the histogram is calculated as

Mean = Sum of the product of carrying load and frequency/Sum of frequency

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

Mean = (870 * 5 + 890 * 7 + 910 * 8 + 930 * 4 + 950 * 3)/(5 + 7 + 8 + 4 + 3)

Evaluate

Mean = 904.8

Hence, the mean is 904.8

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The value of [tex]log_35 \times log_{25}9[/tex] is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]log_35 \times log_{25}9[/tex]

[tex]log_ab = \frac{logb}{loga}[/tex]

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

[tex]logm^n = n~logm[/tex]

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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A coterminal angle is an angle that has the same initial point as another angle but has a different measure.

A coterminal angle is an angle that has a different measure in degrees from another angle but the same initial point and direction. It is an angle that is similar to another angle in orientation but may be different in size. Coterminal angles are significant in trigonometry and have numerous uses in physics, engineering, and mathematics.

Angles are frequently measured in degrees in mathematics, and they can have a value between 0 and 360. It's crucial to remember that different measures might be assigned to the same angle based on the starting and finishing points. For instance, a 90-degree angle is one that begins at the positive x-axis and ends at the positive y-axis. Additionally, the same angle can be expressed as 450 degrees, -90 degrees, and so forth. These angles are all regarded as coterminal angles.

According to question:

1. Find a coterminal angle between 0 and 360:

a) -330 degrees: 330 + 360 = 690, or -330 + 360 * 2 = 360

b) -4350 degrees: 4350 + 360 * 12 = 180

c) 640 degrees: 640

d) -4420 degrees: 4420 + 360 * 12 = 280

2. Find a coterminal angle between 0 and 27:

a) 35TC: 35TC modulo 27 = 35 % 27 = 8

b) 12 MARX: not a valid angle

c) 18 degrees: 18

d) 14 34: not a valid angle

e) 13 x 1ST: not a valid angle

3. Find a positive and a negative coterminal angle for each given angle:

a) 257 degrees: 257, -103

b) 15 74: 74, 15 + 360 = 375, -285

c) 36 degrees: 36, -324

d) 12 degrees: 12, -348

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The surface area of the pyramid that has these measures is given as 300 inches square

The surface area of a square pyramid is the sum of the area of the base and the areas of the lateral faces.

The area of the base of the square pyramid is given by the formula for the area of a square:

A = s^2, where s is the length of one side of the square.

In this case, each side of the base measures 10 inches, so the area of the base is:

A = 10^2 = 100 square inches.

The lateral faces of the pyramid are triangles, and the surface area of each lateral face can be found using the formula:

A = (1/2)bh, where b is the length of the base and h is the height.

In this case, the height of each lateral face is 10 inches, and the base is a side of the square base, which measures 10 inches.

So the surface area of each lateral face is:

A = (1/2)(10)(10) = 50 square inches.

Since there are 4 lateral faces on a square pyramid, the total surface area of the lateral faces is 4 * 50 = 200 square inches.

Finally, the surface area of the pyramid is the sum of the surface area of the base and the lateral faces:

A = 100 + 200 = 300 square inches.

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Answer:

180 hope this helps!

Step-by-step explanation:

Answer: $50

Step-by-step explanation:

Let's denote the amount of money Gabriella had before buying the cake as "a". Then we can write an equation to find "a":

a - $25.52 = $24.48

Adding $25.52 to both sides:

a = $25.52 + $24.48

So,

a = $50

Therefore, Gabriella had $50 before buying the cake.

The slope of the linear relationship is equal to: A. negative five halves.

In Mathematics, the slope of a linear relationship can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following slope and data points on the line:

Substituting the given data points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (-2 - 3)/(2 - 0)

Slope, m = -5/2

Note: -5/2 is negative five halves.

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Answer: The Answer is A. -5/2

Step-by-step explanation: I took the test.

On solving the provided question, we can say that equation for Quinn  = > 625 + 12x and equation for Ryan =>  627 - 10x.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Quinn has $625 in his retirement account, and Ryan has $627

Quinn is adding $12 per day

equation for Quinn  = > 625 + 12x, x is no. of days

Ryan is contributing $10 per day

equation for Ryan =>  627 - 10x, x is no. of days

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An inverse variation function with a small value for k. Therefore, option C is  the correct answer.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The association between x and y can be classified in two ways, as follows:

Direct proportional: when the input x increases, the output y also increases.

Inverse proportional: when the input x increases, the output y decreases.

For this problem, we need an inverse proportional function, that has the following format:

y = k/x.

The lower the value of k, the lower the value of y when x goes to infinity.

Therefore, option C is  the correct answer.

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Answer:

Step-by-step explanation:

12.

1+|-11|=12

lol

The journal entry for the issuing of 1, 000 shares of common stock as payment for legal fees is:

Date               Account title                                  Debit                 Credit

July 1              Organizational expenses           $ 25, 000

                      Common stock                                                   $ 25, 000

The first thing to do is to find the par value of the common stock that was exchanged. This amount is :

= 1, 000 x 25

= $ 25, 000

This amount will be debited to organizational expenses because expenses are debited when incurred. This same amount is to be credited to common stock to show that the attorney is now a shareholder in the firm.

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The question is:

Jul. 1. Issued 1,000 shares of common stock at par to an attorney in payment of legal fees for organizing the corporation.

Answer:

Below

Step-by-step explanation:

Each pound has two 8 oz servings     so three pounds is 6 servings

6 x 544 =3264 cal

Answer:

3x²+9x²-6x and add this

4x²+12x-8

Kindly, find the solution on the attachment.

Answer: First, calculate the total value of the shares after the price fall to $80:

value = 200 shares * $80/share = $16,000

Then, calculate the amount of money borrowed:

borrowed = $14,000 / (1 - margin requirement)

= $14,000 / (1 - 0.20)

= $14,000 / 0.80

= $17,500

Finally, calculate the percentage return on investment:

return = (value - borrowed) / borrowed * 100%

= ($16,000 - $17,500) / $17,500 * 100%

= -6.06%

The return on investment is -6.06%, meaning that the investment lost 6.06% of its value.

Step-by-step explanation:

Based on each given parallelogram, the correct answers are:

Let's try to solve each parallelogram problems

1. In paralellogram, each parallel sides have equal lengths; then:

x // 9; then x = 9

y // 15; then y = 15

2.  In paralellogram, each parallel sides have equal lengths; then:

m + 1 // 5; then m + 1 = 5

m = 4

n // 10; then n = 10

3.  In paralellogram, each parallel sides have equal lengths; then:

z - 8 // 20; then z - 8 = 20

z = 28

Opposite angles share the same size; then:

d - 21 = 105

d = 126

4. Uncomplete screenshot

5. In parallelogram, adjacent angles is supplementary to each other; then:

∠A + ∠B = 180°

51 + ∠B = 180°

∠B = 129°

6. In parallelogram, adjacent angles is supplementary to each other; then:

∠M + ∠N = 180°

95 + ∠N = 180°

∠N = 85°

In the given parallelogram LMNQ, the length of MP is 8.2 and PN is 7. Angle ∠MQN is 29° and ∠MLQ is 100°.

7. LM can be calculated by focusing on triangle MLQ. Under the Sinus Law, we can find that:

LM / sin LQM = MQ / sin MLQ

MQ is one of the parallelogram diagonal. MP is the mid point, then MQ is twice of MP.

MQ = 2(8.2) = 16.4

∠MLQ = 100°

∠LQN = 180° - 100°

∠LQN = 80°

∠LQN = ∠LQM + ∠MQN

80° = ∠LQM + 29°

∠LQM = 51°

LM / sin 51 = 16.4 / sin 100

LM / 0.78 = 16.4 / 0.98

LM = 12.9 = 13

8. LQ is parallel with MN; then they share the same length.

LQ = MN

MN can be calculated by focusing on triangle QMN. Under the Sinus Law:

MN / sin MQN = MQ / sin MNQ

∠MNQ is the opposite angle of ∠LMQ, then ∠MNQ = ∠LMQ = 100

MN / sin 29 = 16.4 / sin 100

MN = 8.07

9. LP = PN = 7

10. MQ = 2 x MP

MQ = 2(8.2)

MQ = 16.4

11. ∠LMN = ∠LQN = 80°

12. ∠NQL = 80°

13. ∠MNQ = ∠MLQ = 100°

14. ∠LMQ is the alternate interior angle of ∠MQN; then ∠LMQ = ∠MQN = 29°

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The mean of the combined group can be calculated as follows:

   Calculate the total sum of test scores of both classes:

   Class 1: 36 students * 73.1 mean = 2631.6

   Class 2: 28 students * 67.4 mean = 1888.32

   Total: 2631.6 + 1888.32 = 4519.92

   Calculate the total number of students:

   Total students = 36 + 28 = 64

   Divide the total sum of test scores by the number of students to find the mean:

   Mean = 4519.92 / 64 = 70.9375.

Therefore, the mean of the combined group of 64 students is 70.9375.

The difference between the percentage of Americans who want to be rich and the percentage of Europeans who want to be rich, according to our 95% confidence level, is between (-0.078, -0.101).

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability. 

Given In a random sample of 80 Americans, 36 wished that they were rich. In a random sample of 90 Europeans, 49 wished that they were rich.

Let p₁ = probability of Americans wanting to rich

p₂ = probability of Europeans wanting to rich

p₁ = 36/80 = 0.45

p₂ = 49/90 = 0.54

so CI = (p₁ - p₂) ± z₁(p₁p₂/n₁ + p₁p₂/n₂)

CI = (0.45 - 0.54) ± 1.96(0.0236)(0.243)

CI  = -0.09 ± 0.0112

(-0.078, -0.101)

Hence the difference of the two proportions is between (-0.078, -0.101).

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Answer:

24

Step-by-step explanation:

If there are 6 pitchers on the Sluggers and they make up 25% or 1/4th of the team, you can just add 6 (1/4th) to itself to 3 more times to gett 100% or 4/4ths.

6+6+6+6 (or 6×4) is 24.

The better option to choose is MVR 20 per kg

A parcel can be sent by a freighter at a cost of MVR 20 per kg . The same parcel can be sent by cargo boat at a cost of MVR 280 per parcel .

The weight of the parcel is 13 kg. Let's find the better options as follows:

Therefore, let's convert

Hence, the cost of using cargo boat is  MVR 280 per parcel.

Recall

1 parcel = 13 kg

This means the cargo ship cost MVR 280 for 13 kilograms of the goods.

Therefore, the better option is the cost of MVR 20 per kg .

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The first question is about algebra with two variables. To calculate the algebra, sum up all the same variable and count the value.

We have an mathematical expression: (5y + 2)(y - 3).

Find the equivalent value!

The equivalent value is

= (5y + 2)(y - 3)

= 5y² + (-15y) + 2y - 6

= 5y² - 13y - 6

The expression of (5y + 2)(y - 3) is equivalent to 5y² - 13y - 6.

The second question is about length in coordinate plane. The following is the formula for the length in coordinate plane.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

A line segment with endpoints (-6, 2) and (3, 1).

Find the length!

From the endpoints, we have

The length is

d = √[(3 - (-6))² + (1 - 2)²]

d = √[9² + (-1)²]

d = √[81 + 1]

d = √82

Hence,

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The equations that represent each line are, respectively:

According to Euclidean geometry, we can generate any line from two distinct points on a plane. Herein we find two tables and two Cartesian representations of the lines, of which we must construct the corresponding line equations, whose definition is shown below:

y = m · x + b

Where:

The slope can be found by secant line formula:

m = Δy / Δx

Now we proceed to determine each equation of the line:

Case 1

Slope

m = [- 34 - (- 10)] / (13 - 5)

m = - 24 / 8

m = - 3

Intercept

b = y - m · x

b = - 10 - (- 3) · 5

b = - 10 + 15

b = 5

Equation of the line

y = - 3 · x + 5

Case 2

Slope

m = [- 3 - (- 11)] / [1 - (- 7)]

m = 8 / 8

m = 1

Intercept

b = y - m · x

b = 3 - 1 · 7

b = 3 - 7

b = - 4

Equation of the line

y = x - 4

Case 3

Slope

m = [0 - (- 1)] / (0.5 - 0)

m = 2

Intercept

b = y - m · x

b = - 1 - 2 · 0

b = - 1

Equation of the line

y = 2 · x - 1

Case 4

Slope

m = [0 - (- 4)] / (5 - 0)

m = 4 / 5

Intercept

b = y - m · x

b = - 4 - (4 / 5) · 0

b = - 4

Equation of the line

y = (4 / 5) · x - 4

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Answer: The space inside a figure -- Area

The sum of all sides in a figure -- Perimeter

The distance vertically in a triangle -- Height

The distance horizontally in a triangle -- Base

Answer:

B) False

In most job, you will get paid on a weekly basis, usually on a Friday.

Step-by-step explanation:

Hope it helps! =D

According to statistics, Land O' Lake's 2021 average annual household income was given at $84,146. Thus, the correct answer is Option B which indicates that the amount is approximately $84,000.

Average Annual Household Income is the average amount of money earned annually by a household, calculated by dividing the total household income by the number of households. It provides a measure of the economic well-being of a particular group or population.

Average Annual Household Income is useful because it provides a broad overview of the economic well-being of a population and can be used to compare the standard of living across different regions, demographic groups, and over time. It is an important indicator of the economy's health and the distribution of wealth.

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