Find the measure of angle DCF=
help me please :)) ty​

Step-by-step explanation:

79 degrees plus X would make 180 degrees, because these two angles make up a straight angle.

So, 79 + X = 180

    -79          -79

         X=101 degrees.

Y is 79 degrees because it is an alternate interior angle to the other 79 degree angle.

Z is 101 degrees because X and Z are corresponding angles, which means they are equal.

If Z is 101 degrees, Y must be 79 degrees because Y and X make up a straight angle.

Answer:

X is 101 degrees. Y is 79 degrees. Z is 101 degrees.

Hope this helped! :)

Answer:

Maria sold 89 candy bars.

Answer:

47.43

Step-by-step explanation:

To find 51% of the number 93, multiply the latter by 0.51:

0.51(93) = 47.43

Answer:

47.43

Step-by-step explanation:

51% of 93

\(\frac{51}{100}\times \frac{93}{1}\)

\(=\frac{4743}{100\times \:1}\)

\(=\frac{4743}{100}\)

Answer:

The answer is A. t = 0.4n

Step-by-step explanation:

See how on the graph, when n is 2, t is around 1? We just plug in 2 into n into the equation, t=0.4n. 0.4 times 2 is 0.8, so t=0.8. 0.8 is around 1, so a is right. If we tried the same thing with one of the other choices, like B. t=2.5n, then plugging in 2 into n would give us 2 times 2.5, which is 5. 5 is nowhere around 1, making it wrong.

The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).

Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.

By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.

The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.

Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.

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Answer:

66666699999

Step-by-step explanation:

The probability of having an "ideal" family of one boy and one girl when planning to have two children is 1/4 or 0.25. This is because there are four equally likely possibilities for the gender of the two children, and only one of those possibilities results in having one boy and one girl.

Assuming that the probability of having a boy or a girl is equal and independent of previous outcomes, the probability of having a boy and a girl in a family of two children is 1/4 or 0.25.

This is because there are four equally likely possibilities for the gender of the two children: boy-boy, boy-girl, girl-boy, and girl-girl. Only one of these outcomes, boy-girl, results in the couple having their "ideal" family of one boy and one girl.

Therefore, the probability of having their ideal family is 1/4 or 0.25.

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c =

a

sin(α)

= 51.13963

b = √c2 - a2

= √51.1396257719972 - 82

= √2551.2613240999

= 50.51001

∠β = 90° - ∠α

= 81° = 1.41372 rad = 9/20π

area =

a × b

2

=

8 × 50.5100121174

2

= 202.04005

perimeter = a + b + c

= 8 + 50.5100121174 + 51.139625771997

= 109.64964

inradius =

a × b

a + b + c

=

404.0800969392

109.6496378894

= 3.68519

circumradius =

c

2

=

51.139625771997

2

= 25.56981

To maximize revenue, the hardware store must sell 10²³ bolts.

P= 120 - 24x

The revenue generated by selling xx thousand bolts is given by the product of the price per bolt and the number of bolts sold:

Revenue = p * x

Substituting the value of p from the equation, we have:

Revenue = (120 - 24x) * x

To find the value of x that maximizes revenue, we need to differentiate the revenue function with respect to x and set it equal to zero:

d(Revenue)/dx = 0

Differentiating the equation and solving for x, we get:

120 - 48x = 0

48x = 120

x = 120/48

x = 10²⁵/4 = 2.5 * 10²⁴

Since the question asks for the number of bolts to be sold in thousands, we divide x by 1000:

Number of bolts = (2.5 * 10²⁴) / 10³ = 2.5 * 10²¹

Therefore, the hardware store must sell 10²³ bolts (2.5 * 10²¹ in thousands) to maximize revenue.

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Answer:

Step-by-step explanation:

A) The simplest form would be \(h(x) = log_2(x^7) - 4\).

B) The solution for the non-linear equations would be \(x=2^{(8/3)}\).

What is a logarithmic function?

A logarithmic function is a type of mathematical function that represents the inverse of an exponential function. The logarithmic function maps the power of a given number (the base) to the corresponding exponent.

A: If h(x) = f(x) + g(x), then we can substitute f(x) and g(x) with their definitions:

\(h(x) = log_2(x) + 2 + log_2(x^3) - 6\)

Using logarithmic properties, we can simplify the expression:

\(h(x) = log_2(x * x^3) + 2 + log_2(x^3) - 6\\\\h(x) = log_2((x * x^3) * (x^3)) + 2 - 6\\\\h(x) = log_2(x^7) + 2 - 6\\\\h(x) = log_2(x^7) - 4\)

So,\(h(x) = log_2(x^7) - 4\) in simplest form.

B: To determine the solution to the system of non-linear equations, we need to find the values of x that make both f(x) = g(x).

Setting f(x) = g(x):

\(log_2(x) + 2 = log_2(x^3) - 6\)

Expanding and rearranging the terms:

\(log_2(x) + 2 = log_2(x^3) - 6\\\\log_2(x) + 2 + 6 = log_2(x^3)\\\\8 = log_2(x^3)\)

Using the logarithmic property of exponents:

\(2^8 = x^3\)

Taking the cube root of both sides:

\(x = 2^{(8/3)}\)

This is the solution to the system of non-linear equations. Note that the cube root can have three values, so this is only one of the possible solutions.

Hence,

A) The simplest form would be \(h(x) = log_2(x^7) - 4\).

B) The solution for the non-linear equations would be \(x=2^{(8/3)}\).

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Answer:

It's B.

Step-by-step explanation:

Answer:

p = g - 50

Step-by-step explanation:

profit = income - expenses

income = 1 * g = g

expenses = $50

p = g - 50

If g = 50, then

p = 50 - 50 = 0

If she sells 50 glasses of lemonade, she breaks even. That means she makes no profit, but also she loses nothing.

If she sells more than 50 glasses, then she makes a profit.

Answer:

50 is the answer

Step-by-step explanation:

LM = √(8² + 6²) = √(64 + 36) = √100 = 10 yd

Area = 2 × (1/2) × 6 × 8 = 48 yd²

Answer:

hi

Step-by-step explanation:

Review the standard and expanded forms of circle equations, and solve problems concerning them. ... Practice set 3: Using the expanded equation of circles ... y+105x2+y2+18x+14y(x2+18x)+(y2+14y)(x2+18x+81)+(y2+14y+49)(x+9)2+(y+7)2(x ... I could move the centre, but I'm lost as to how the radius should be adjusted.

Answer:

y - 3 = -4(x + 1).

Step-by-step explanation:

First,  calculate the slope (m) using the formula:

y - y1 = m(x - x1),

m = (y2 - y1) / (x2 - x1),

where (x1, y1) = (-1, 3)

(x2, y2) = (2, -9):

m = (-9 - 3) / (2 - (-1))

= (-12) / (3)

= -4.

Now substitute the values into the point-slope formula:

y - 3 = -4(x - (-1))

y - 3 = -4(x + 1).

The smallest possible values for "a" and "b" that satisfy these conditions are when a = 1 and b = 3. This is because 1 is the smallest factor of 15, and 3 is the smallest multiple of 3.

What is integers?

The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.

Let's call the two unknown numbers as "a" and "b"

Since "a" is a factor of 15, the possible values for "a" are 1, 3, 5, and 15.

Since "b" is a multiple of 3, the possible values for "b" are 3, 6, 9, 12, 15, and so on.

The smallest possible values for "a" and "b" that satisfy these conditions are when a = 1 and b = 3. This is because 1 is the smallest factor of 15, and 3 is the smallest multiple of 3.

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Answer:

Step-by-step explanation:

First, you need to graph all given points in the table, that way you will be able to determine the end behavior.

Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.

So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.

Therefore, the right answer is the last choice.

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

Just took the test!!!

Answer:

third option is correct

Step-by-step explanation:

hope this helps

A circle is a curve sketched out by a point moving in a plane. The area of the circular paper is more than the area of the square.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The arc length of radius 6 inches is equal to,

Length of the Arc of a quarter = 2πr×(1/4) = 2×π×6×0.25 =0.9448 inches

The area of the circular paper = πr² = π×6×6 = 113.097²

The area of the square with a side of 6 inches = 36 in²

Therefore, the area of the circular paper is more than the area of the square.

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Answer:

Identify angle C. It is the angle whose measure you know.

Identify a and b as the sides that are not across from angle C.

Substitute the values into the Law of Cosines.

Solve the equation for the missing side.

Step-by-step explanation:

For a right triangle, use the Pythagorean Theorem. For an isosceles triangle, use the area formula for an isosceles. If you know some of the angles and other side lengths, use the law of cosines or the law of sines.

In order to prove the triangles are similar, you have to use SAS, SSS and AA rule.

In triangle, the similarity theorem states that if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Here we have to find the 3 shortcuts to prove the triangles are similar.

According to the similarity theorem, here we have triangle that is similar to other if two pairs of angles are congruent (AA) or if two pairs of sides are proportional and the included angles are congruent whereas if three pairs of sides are proportional (SSS).

Here we must know that the term similarity and congruent are similar terms.

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The demand for NOVA education is considered inelastic as the decrease in enrollment was smaller than the increase in tuition.

To determine whether NOVA education is elastic or inelastic, we can examine the change in enrollment relative to the change in tuition. In this case, when the tuition increased from $200 per credit to $250 per credit, the enrollment declined from 50,000 to 40,000. If the percentage change in enrollment is greater than the percentage change in tuition, the demand for education is considered elastic. This indicates that the quantity demanded is sensitive to changes in price. Conversely, if the percentage change in enrollment is less than the percentage change in tuition, the demand is considered inelastic, meaning that the quantity demanded is not highly responsive to price changes.

Calculating the percentage change in tuition: (250 - 200) / 200 * 100% = 25%

Calculating the percentage change in enrollment: (40,000 - 50,000) / 50,000 * 100% = -20%

Since the percentage change in enrollment (-20%) is less than the percentage change in tuition (25%), we can conclude that NOVA education is inelastic. The decrease in enrollment suggests that the demand for education at NOVA is not highly sensitive to changes in tuition.

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$$minimum_-value_-y=-20$$To graph properly, we must observe the maximum and minimum values of our variables x and y.

First we need to know if our values in x and y are even, odd or both:

For the case of x: the points can be either even or odd, and the separation between them is not uniform, which is why the increment of the x-axis must be 1.

For the case of y: the points are all even, so the increment of the y-axis can be 2

Now to know where the maximum and minimum values of x and y should be, we will take as a reference the value of the increase of the axes and we will multiply it by 2 and we will add it to the maximum value and we will subtract it from the minimum value in both axes. As follows:

• Minimum x-value : 0

• Maximum x-value : 27

• Increment for x-axis : 1

• Minimum y-value : -24

• Maximum y-value : 30

• Increment for y-axis : 2

The correct equation that can be used to show how energy is conserved during the pair production is option B: hf = 2mc^2 + mv^2

This equation accounts for the conservation of energy in the process. The left side represents the energy of the high-energy gamma ray photon, which is given by the product of its frequency (f) and Planck's constant (h). The right side represents the sum of the rest masses of the electron and positron (2mc^2), as they are created as particle-antiparticle pairs, and the kinetic energy of the particles represented by the term mv^2, where m is the mass and v is the speed of the particles. By equating the energy of the initial photon to the combined energy of the produced particles, energy conservation is maintained.

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