Find the value of x that makes m || n

Two horizontal parallel lines labeled m and n are intersected by a transverse line. The interior adjacent angles on the same side of the transverse line is labeled x degrees and 73 degrees

Answer:

\(\frac{1}{12}\)

Step-by-step explanation:

A full circle consists of 360°, so we can write the fraction of this arc as \(\frac{30}{360}\), which can be simplified to \(\frac{1}{12}\) by dividing the numerator and denominator by 30.

**This content involves simplifying fractions and knowledge on the angle sum of a circle which you may wish to revise. I'm always happy to help!

This is a contradiction, which means that there is no solution for the given equation. Therefore, the correct answer is option C, "No solution".

There is only one solution for the given equation.

5 - 3x = 4 + x + 2 - 4x

Simplifying the equation, we get:

5 - 3x = 6 - 3x

Subtracting 6 from both sides, we get:

-1 - 3x = -3x

Adding 3x to both sides, we get:

-1 = 0

A linear equation is an equation that can be written in the form y = mx + b, where y and x are variables, m is the slope, and b is the y-intercept. It represents a straight line on a graph. Linear equations can be used to model a variety of real-world situations, such as the relationship between temperature and time, or the cost of producing a certain quantity of goods.

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We can see that both sides are equal, which means that the equation has infinitely many solutions.

Therefore, the answer is: D. Infinitely many solutions is correct.

To solve for the number of solutions of 5 - 3x = 4 + x + 2 -4x,

we first simplify the equation by combining like terms:

Combine like terms on both sides of the equation:

5 - 3x = 6 - 3x

Compare the coefficients of the x terms:

-3x = -3x

Since both sides of the equation have the same coefficients for the x terms, there are infinitely many solutions.

Therefore, the answer is: D. Infinitely many solutions is correct.

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Answer:

3x-40=2x=10

Step-by-step explanation:

3x-2x=10+40

x=50

150-40=110

100+10=110

<ceb=180-110=70

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

The formula that you must used to determine the circumference of a circle is C = \(\pi\)d

First things first, substitute your diameter into the formula provided above,

C = \(\pi\)(3.14)(4)

Next you've substituted the diameter into the formula, you may calculate it.

C = \(\pi\)(3.14)(4) = 12.57

Finally, it has been determined that the answer to your question is 12.57

a) The icosahedron has 20 vertices and 38 edges. b)The Schläfli symbol {n, k} represents a regular tiling or polytope. c)For regular tilings, the condition 1/n + 1/k < 1/2 means that the sum of the reciprocals of the numbers of sides meeting at each vertex and each edge is less than half.

d) The possible angles can be calculated using Angle = (n-2) * 180° / n

e) The number of regular tilings in different geometries is determined by the conditions that need to be satisfied for regular polygons or polyhedra.

(a) The icosahedron has 20 triangular faces, with 5 triangles at each vertex. To determine the number of vertices, we can divide the total number of triangles by the number of triangles at each vertex. Similarly, to find the number of edges, we can use the relationship between the number of faces, vertices, and edges in a polyhedron, which is given by Euler's formula: F + V - E = 2.

Number of vertices:

Each vertex is shared by 5 triangles, and there are 20 triangular faces. So, the number of vertices can be calculated as V = F * k / n, where F is the number of faces (20) and k/n is the number of triangles at each vertex (5). Thus, V = 20 * 5 / 5 = 20 vertices.

Number of edges:

Using Euler's formula, we can rearrange it as E = F + V - 2. Substituting the known values, we get E = 20 + 20 - 2 = 38 edges.

Therefore, the icosahedron has 20 vertices and 38 edges.

(b) The Schläfli symbol {n, k} represents a regular tiling or polytope. The symbol consists of two numbers, n and k, which indicate the number of sides (edges or faces) meeting at each vertex and the number of edges (in two dimensions) or faces (in three dimensions) meeting at each edge, respectively.

(c) For regular tilings, the condition 1/n + 1/k < 1/2 means that the sum of the reciprocals of the numbers of sides meeting at each vertex and each edge is less than half. This condition ensures that the tiling can form a regular polygon or polyhedron. If the sum exceeds half, then the angles of the polygons or polyhedra become too large, preventing a regular tiling.

For the condition 1/n + 1/k = 1/2, this represents a specific case known as semiregular tilings or Archimedean tilings. In these tilings, the polygons or polyhedra have different numbers of sides meeting at each vertex or edge, but the angles remain regular.

When 1/n + 1/k > 1/2, the angles of the polygons or polyhedra become too small to form a regular tiling. In this case, the tiling would not be possible.

(d) In hyperbolic geometry, the angles of a regular n-gon can vary depending on the hyperbolic curvature. The possible angles can be calculated using the formula:

Angle = (n-2) * 180° / n

In Euclidean geometry, the angles of a regular n-gon are equal to (n-2) * 180° / n, but in hyperbolic geometry, the angles can be greater or smaller, depending on the hyperbolic curvature.

(e) The number of regular tilings in different geometries is determined by the conditions that need to be satisfied for regular polygons or polyhedra. In Euclidean geometry, there are only three regular tilings: the equilateral triangle, the square, and the regular hexagon. In spherical geometry, there are five regular tilings: the equilateral triangle, the square, the regular pentagon, the regular hexagon, and the regular dodecagon. This limitation arises from the nature of the sphere and the constraints on the angles and arrangements of polygons on its surface.

However, in hyperbolic geometry, there are infinitely many regular tilings possible. The hyperbolic space allows for a wide range of curvatures, allowing for various arrangements and sizes of polygons that can tile the space regularly. The flexibility of hyperbolic geometry results in a rich variety of regular tilings compared to the more constrained Euclidean and spherical geometries.

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Answer:

a = 43°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

a + 8 + 2a + 43 = 180

3a + 51 = 180 ( subtract 51 from both sides )

3a = 129 ( divide both sides by 3 )

a = 43

Answer:

400 ft.

Step-by-step explanation:

4×100=400

This shows that when you multiply the radius of 4 by 100 ft. you gett a height of 400 which means the the height of the tank is 400 ft.

Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

Answer:

alot

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio of adults being 5:3 means that you should first divide the audience into 8 sections. You get 18. Now, you can multiply 18 by 5 to find out how many adults there are, since 5 means quantity of adults.

There are 90 adults

Answer:

C. 9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

Answer:

Verticle     x=128°

Step-by-step explanation:

A vertical angle is each of the pairs of opposite angles made by two intersecting lines.

And vertical angles are congruent so x = 128° as well!

Hope this helps!

When saving money for a future time when you will be too old to work, the concept of exponential growth becomes crucial.

By investing money, it has the potential to grow exponentially over time due to the compounding effect.

The initial investment, along with any accumulated interest or returns, becomes the new principal, which continues to generate further growth. As time passes, the investment grows faster and faster, propelled by compounding.

This exponential growth is particularly advantageous for long-term retirement planning, as it allows for the accumulation of significant wealth over many years.

Starting early and consistently contributing to investments can harness the power of exponential growth, helping to secure a financially stable future during retirement.

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The price-earnings ratio of the stock is 16.6. P/E ratios can vary widely across industries, so it's important to compare a stock's P/E ratio to other companies in the same industry.

The price-earnings ratio (P/E ratio) is calculated by dividing the stock price by the earnings per share (EPS). In this case, the EPS is $2.50 and the stock price is $41.50. So, the P/E ratio is:
P/E ratio = Stock price / EPS
P/E ratio = $41.50 / $2.50
P/E ratio = 16.6
Therefore, the price-earnings ratio of the stock is 16.6.

The price-earnings ratio is an important metric used by investors to evaluate the value of a stock. It reflects the amount that investors are willing to pay for each dollar of earnings generated by the company. A high P/E ratio may indicate that investors have high expectations for the company's future earnings growth, while a low P/E ratio may indicate that investors have lower expectations. In the case of National Advertising, the company had earnings of $2.50 per share last year and its stock price was $41.50 as of yesterday's close. By dividing the stock price by the EPS, we can calculate the P/E ratio, which is 16.6. This means that investors are willing to pay $16.60 for every dollar of earnings generated by the company. It's important to note that the P/E ratio should not be used in isolation when evaluating a stock. Other factors, such as the company's growth prospects, financial health, and industry trends, should also be taken into account.

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the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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Carla's biking rate is approximately 13.67 miles per hour for the first 3 hours and 13.29 miles per hour for the entire 7 hours.

To find Carla's biking rate, we need to use the formula:
rate = distance / time

Using the information given in the question, we can calculate the rate for each time interval:

For the first 3 hours:
distance = 41 miles
time = 3 hours
rate = distance / time
rate = 41 miles / 3 hours
rate = 13.67 miles per hour

For the entire 7 hours:
distance = 93 miles
time = 7 hours
rate = distance / time
rate = 93 miles / 7 hours
rate = 13.29 miles per hour

Therefore, Carla's biking rate is approximately 13.67 miles per hour for the first 3 hours and 13.29 miles per hour for the entire 7 hours.

To find Carla's biking rate, we can set up an equation using the distance formula: distance = rate × time.

From the information given, we know:
1. After 3 hours, she is 41 miles away.
2. After 7 hours, she is 93 miles away.

Let's use "r" for Carla's biking rate.

For the first situation:
Distance1 = r × 3 hours
41 miles = 3r

For the second situation:
Distance2 = r × 7 hours
93 miles = 7r

Now, we can subtract the first equation from the second equation to find the distance she traveled between the 3rd and 7th hours:
93 - 41 = 7r - 3r
52 miles = 4r

Next, we will solve for "r" by dividing both sides by 4:
52 miles / 4 = r
13 miles/hour = r

So, Carla's biking rate is 13 miles per hour.

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Answer:

266,250$

Step-by-step explanation:

Answer: B)

Could you please merk me as "Brainliest"

Answer:

4?

Step-by-step explanation:

The number of pheasants in 2012 was 1832. The number of pheasants in 2016 was 422. The minimum viable density is 100 pheasants per hectare.

So, we need to find out the year in which the population will fall below 100 pheasants per hectare.

First, we need to find out the rate of decline per year which can be calculated as follows: Rate of decline per year = (1832 - 422) / (2016 - 2012)= 1410 / 4= 352.5 per yearNow, let the number of pheasants per hectare be y after t years from 2012.

Then, y = 1832 - 352.5t (as we know the rate of decline per year)We need to find the year in which the population will fall below 100 pheasants per hectare. So, we need to solve the equation:1832 - 352.5t = 100⇒ 352.5t = 1732⇒ t = 1732 / 352.5⇒ t = 4.91 Therefore, the population will fall below the minimum viable density of 100 pheasants per hectare after 4.91 years from 2012, which is around 2017 or 2018.

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Answer:

a.2×1= 2 + 3×1=3 +4×2=8 now we have to put this ans and the ans is 13.

b. 5×1×2=10 + 3×1×2=6+ 7×2×2=28 now also we have to put this ans and this ans is 13

Answer:

RS || PQ and QR || SP                                   given

angle PSQ congruent to angle RQS           alternate interior angles theorem

angle PQS congruent to angle RSQ           alternate interior angles theorem

QS congruent to QS                                     reflexive property

Triangle PSQ congruent to triangle RSQ   ASA congruence

RS congruent PQ and QR congruent          CPCTC      

to SP

a) To determine the molar flux of species A at the surface of the sphere, we can use Fick's first law of diffusion. According to Fick's first law, the molar flux (J) of a species is equal to the product of its diffusivity (D) and the concentration gradient (∇c).

In this case, species A diffuses radially outwards from the sphere, so the concentration gradient can be expressed as ∇c = (c - XAO)/ro, where c is the total molar concentration and XAO is the mole fraction of species A at the surface of the sphere.
Therefore, the molar flux of species A at the surface of the sphere (JAO) can be calculated as:
JAO = -DAB * ∇c
   = -DAB * (c - XAO)/ro

b) If the distance at which the mole fraction of species A is considered to be effectively zero is located at 100ro instead of 10ro, there would be a significant change in the molar flux of species A.

The molar flux is directly proportional to the concentration gradient. In this case, the concentration gradient (∇c) is given by (c - XAO)/ro. If the mole fraction of A at 100ro is effectively zero, then XA100ro = 0. Therefore, the concentration gradient at 100ro (∇c100ro) would be (c - 0)/100ro = c/100ro.

Comparing this with the original concentration gradient (∇c = (c - XAO)/ro), we can see that the concentration gradient at 100ro (∇c100ro) is much smaller than the original concentration gradient (∇c). As a result, the molar flux at the surface of the sphere (JAO) would be significantly smaller if the distance at which the mole fraction is considered to be effectively zero is located at 100ro instead of 10ro.

In conclusion, changing the distance at which the mole fraction is considered to be effectively zero from 10ro to 100ro would result in a large decrease in the molar flux of species A at the surface of the sphere. This is because the concentration gradient would be much smaller, leading to a lower rate of diffusion.

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The evaluated probability of randomly choosing a  participant dreams in black and white or color is 0.13, under the condition that the given Students are passing from psychology surveyed 200 of their fellow students regarding their dreams.

Probability means the possible chances of an event occurring in a particular time frame. It is a considered a branch of mathematics that deals with the occurrence of a random event.

The value is presented from zero to one. Probability has been induced in math to predict how prone are the events going to occur. The meaning of probability is basically the express  something that is likely to happen.

Black Probability = 4/200=0.02

White Probability = 12/200=0.06

Probability of all other color = 10/200=0.05

So, probability of randomly choosing a participant dreams in black and white or color =0.02+0.06+0.05=0.13

Therefore, the probability of randomly selecting participant dreams in black and white or color = 0.13

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The complete question is

Students majoring in psychology surveyed 200 of their fellow students about their dreams. The results of the survey are shown in the Venn diagram. Let B be the event that the participant dreams in black and white and let C be the event that the participant dreams in color.

What is the probability that a randomly selected participant dreams in black and white or color?

Answer:

Step-by-step explanation:

i think 45 because a square could be broken up into 4s

Answer:

\(90^{\circ}\)

Step-by-step explanation:

Take any square and try rotating it.

Answer:

67760000000

Step-by-step explanation:

The points x ≤ 1 2/3 and x<-3/4 has plotted in the number line

A number line is a visual representation of the real number system. It is a straight line on which numbers are marked at equal intervals, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero

The line represents the set of all real numbers, with negative numbers to the left of zero and positive numbers to the right. The point marked with a circle (o) represents the value of x that satisfies both conditions, which is x ≤ 1 2/3 and x < -3/4. Since -3/4 is less than 1 2/3, any value of x that satisfies x ≤ 1 2/3 must also satisfy x < -3/4, so the two conditions are equivalent in this case.

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If two angles are complementary, then they cannot be congruent. This statement is true. Complementary angles are two angles whose sum is 90°. They do not have to be equal in measure.

On the other hand, congruent angles are angles with equal measure.What are complementary angles?Two angles are said to be complementary when they add up to 90 degrees. This means that the sum of the measures of these angles is 90 degrees.

The measures of complementary angles need not be equal.What are congruent angles? Congruent angles are two or more angles with the same measure. In other words, they have the same angle measurement.

Hence, if two angles are congruent, it means they are exactly equal in measure. If two angles are complementary, they cannot be congruent.

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Rounding a number means changing its value to a number that is closer to a certain level of precision or a certain place value. When we round a number, we usually specify the level of precision or place value that we want the rounded number to have. For example, we might want to round a number to the nearest whole number, to the nearest tenth, or the nearest thousandth.

The process of rounding involves looking at the digit in the place value that we want to round to and using the digit to the right of it to determine whether to round up or down.

Rules of Rounding:

The place values to the right of the decimal point, or the right of one's place in number, are called decimal places. The decimal places are numbered starting from the tenth place, which is one place to the right of the decimal point. The next place to the right is the hundredth place, followed by the thousandth place, and so on.

The third place to the right of zero is the thousandth place. When rounding to the nearest thousandth we have to look at the fourth decimal place to see whether it must be rounded up or down. The fourth digit is an 8 which is greater than 5. So we must round the thousandth place up.

This gives us 0.143, rounded to the nearest thousandth.