How do you prove that lines are similar in triangles if it is parallel? (look at photo)

To calculate the mean, variance, and standard deviation of a discrete probability distribution, you need to follow these steps:

1. List the values of the random variable (x) and their corresponding probabilities (p(x)) in a table.

In this case, the values of x are -32, -24, -13, and -7, and the corresponding probabilities are not provided. So, to proceed with the calculation, we need the probabilities associated with each value of x.

Once we have the probabilities, we can move on to calculating the mean, variance, and standard deviation.

Please provide the probabilities for each value of x in order to proceed with the calculation.

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Answer: the slope of the line is B), -1/2

The sampling technique used in each study is as follows: (a) convenience sampling, (b) systematic sampling, and (c) stratified random sampling.

(a) In the first study, where a journalist goes to a campground to ask people about their feelings regarding air pollution, the sampling technique used is convenience sampling. This is evident because the journalist approaches individuals who are readily available and easily accessible at the campground. However, convenience sampling may introduce bias as it does not ensure a representative sample of the population.

(b) In the second study, where every tenth machine part is selected from an assembly line for measurement, the sampling technique used is systematic sampling. Systematic sampling involves selecting every nth element from a population after establishing a sampling interval. In this case, every tenth machine part is selected to ensure a systematic and unbiased approach to quality assurance.

(c) In the third study, where attitudes about smoking are studied at a college and students are divided by class and then randomly sampled from each class for interviews, the sampling technique used is stratified random sampling. Stratified random sampling involves dividing the population into homogeneous subgroups (strata) and then randomly selecting samples from each subgroup. By dividing the students into different class strata and randomly selecting samples from each class, this study aims to ensure representation from each class in the final sample.

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100/299 elephants is equal to 10 gorillas

Given that 23 gorillas = 4 horses, hence:

1 gorilla = (4/23) horses

The amount of horses that is equal to 10 gorillas is:

10 gorillas = (4/23) horses × 10 = (40/23) horses

Also, 5 farmers = 2 horses, hence:

1 horse = (5/2) farmer

The amount of farmers that is equal to (40/23) horses is:

(40/23) horses = (5/2) farmer × (40/23) = 100/23 farmers

Also, 1 elephant= 13 farmers. Hence:

1 farmer = (1/13) elephant

The amount of elephant that is equal to (100/23) farmers is:

(100/23) farmers = (1/13) elephant × (100/23) = 100/299 elephants

Hence 100/299 elephants is equal to 10 gorillas

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According to the information the triangle is formed by the sides of the 3 squares, if you mind the missing side of the triangle formed by the 5inch and 13inch sides you find the side of the third square.

Use the pythagorean

The lenght of a side in the third square could be 12 inches.

Table B correctly represents the ratio of students to adult

Ratio is an ordered pair of numbers x and y, which can written in form x/ y where y is not 0.

For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is 8 :6 Similarly, the ratio of lemons to oranges is 6:8

ratio 48:6= 48/6

= 8

this means that 8 student to 1 adult

in table B all ratio of student to adult is 8:1

therefore only table 2 obeys this ratio

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Step-by-step explanation:

Area of remaining paper

= Area of rectangle - 2 * Area of semicircle

= Area of rectange - Area of circle

= (4in * 8in) - (π * 2in * 2in)

= 32in² - 4πin²

= 19.44in². (A)

Answer:

Simplify the expression.

13 x − 6

hope this helps

15 mile/1 hours cause 60/4

Answer: 42 pages

Because

After rotation the shape 180 degree new coordinates are, (- 1, - 2) , (- 4, - 2) and (- 4, - 4) and the figure is shown in graph.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The shape is shown in figure.

Here, The coordinates of triangles are,

⇒  1, 2) , ( 4,  2) and ( 4,  4).

We know that;

The rule of rotation about 180 degree is,

⇒ (x, y) → (- x, - y)

Thus, The new coordinates are,

⇒ (- 1, - 2) , (- 4, - 2) and (- 4, - 4)

So, The figure after rotate about 180 degree is shown in figure.

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((p ∧ q) ∨ ¬p ∨ ¬q) ∧ τ is logically equivalent to τ.

To prove the logical equivalence ((p ∧ q) ∨ ¬p ∨ ¬q) ∧ τ = τ using logical equivalences, we can break down the expression and apply the properties of logical operators. Here is the step-by-step proof:

((p ∧ q) ∨ ¬p ∨ ¬q) ∧ τ (Given expression)

((p ∧ q) ∨ (¬p ∨ ¬q)) ∧ τ (Associative property of ∨)

((p ∧ q) ∨ (¬q ∨ ¬p)) ∧ τ (Commutative property of ∨)

(p ∧ q) ∨ ((¬q ∨ ¬p) ∧ τ) (Distributive property of ∨ over ∧)

(p ∧ q) ∨ (¬(q ∧ p) ∧ τ) (De Morgan's law: ¬(p ∧ q) ≡ ¬p ∨ ¬q)

(p ∧ q) ∨ (¬(p ∧ q) ∧ τ) (Commutative property of ∧)

(p ∧ q) ∨ (F ∧ τ) (Negation of (p ∧ q))

(p ∧ q) ∨ F (Identity property of ∧)

p ∧ q (Identity property of ∨)

τ (Identity property of ∧)

Therefore, we have proved that ((p ∧ q) ∨ ¬p ∨ ¬q) ∧ τ is logically equivalent to τ.

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Answer:

(13/2, 6)

Step-by-step explanation:

to find the x value in the midpoint you add both xs and divide by 2

5+8= 13

13/2 = x

to find the y value in the midpoint you add both ys and divide by 2

10+2=12

12/2 = 6 =y

Answer:

(6.5,6)

Step-by-step explanation:

1. graph the points

2. make your triangle

3. add numbers to the triangle

4. do you midpoint formula which is m=(x1+x2/2, y1+y2/2)

5. put your numbers in

The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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Answer:

Two times the density of hydrogen   =   18 x 10^-5

Step-by-step explanation: Two times the density of hydrogen   =   18 x 10^-5    is ALMOST 20 x 10^-5    or 2 x 10^-4

SO the first statement is correct.

A is the correct representation, i.e Cory earned $175 to mow 5 lawns

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

A. Cory earned $175 to mow 5 lawns is the correct representation that shows the amount of money Cory earned at the rate of $35 per lawn.

To find the amount of money earned by Cory, we can multiply the number of lawns mowed by the rate per lawn. So, in this case, the amount of money Cory earned for mowing 5 lawns would be:

Amount earned = rate per lawn x number of lawns

Amount earned = $35 x 5

Amount earned = $175

Therefore, A is the correct representation, i.e Cory earned $175 to mow 5 lawns

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Answer:

29.93° F

____________________

The value of the temperature of 272 Kelvin in Fahrenheit is 29.93° F.

To convert Kelvin to Fahrenheit, enter the supplied value into the below k to f formula. The following are the procedures for converting k to f (Kelvin to Fahrenheit):  °F = (K − 273.15) × 1.8 + 32.

Substitute the given value (in K) in the formula:

Then simplify the expression and find the solution.

Then write the final answer in °F.

To determine the temperature in °F when it is in 272° Kelvin

We need to substitute the value of K as 272 in the K to F formula given above.

⇒ °F = (272 − 273.15) × 1.8 + 32

⇒ °F = -1.15 × 1.8 + 32

⇒ °F = -2.07+ 32

⇒ °F = 29.93°

Therefore, the value of 272 K in Fahrenheit is 29.93° F.

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Answer:

\(Day\ 3 = 16237\)

\(Day\ 1 = 16390\)

\(Day\ 2 = 16550\)

Step-by-step explanation:

Given

\(Day\ 1 = 16390\)

\(Day\ 2 = 16550\)

\(Day\ 3 = 16237\)

Required

Order from least to greatest

Comparing 16390, 16550 and 16237.

The order of arrangement from least to greatest is:

16327, 16390 and 16550.

So, we have:

\(Day\ 3 = 16237\)

\(Day\ 1 = 16390\)

\(Day\ 2 = 16550\)

To find the linear acceleration (a) of the point at the end of the rod, you can use the Pythagorean theorem by taking the square root of the sum of the point's tangential acceleration squared and radial acceleration squared.

The linear acceleration (a) of a point at the end of a rod can be decomposed into two components: tangential acceleration and radial acceleration.

Tangential acceleration is the component of acceleration along the tangent to the circular path. It represents how the magnitude of velocity is changing.

Radial acceleration, also known as centripetal acceleration, is the component of acceleration directed towards the center of the circular path. It represents the change in direction of velocity.

According to the Pythagorean theorem, the magnitude of the total acceleration (linear acceleration) can be found by taking the square root of the sum of the squares of tangential acceleration (at) and radial acceleration (ar):

a = √(at^2 + ar^2)

By calculating the tangential and radial accelerations, and then squaring them, you can find their respective magnitudes.

Finally, sum up the squared magnitudes of tangential and radial accelerations, and take the square root to find the linear acceleration (a) of the point at the end of the rod.

This approach allows you to consider both the change in magnitude and direction of velocity, providing a comprehensive understanding of the point's overall acceleration.

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Answer: 70ᴼ

Step-by-step explanation:

The triangles are vertical so their angle measures are congruent.

The angles of a triangle add to equal 180ᴼ.

55 + 55 = 110

180 - 110 = 70

Answer:

2345678io90

Step-by-step explanation:

The graph of the given equation represents a parabola.

To classify the graph of the given equation, let's rewrite it in standard form:
16x² - 8x - 69y = 137
Now, we can analyze the terms in the equation:
1. There is a squared term for x (16x²) and no squared term for y.
2. There is a linear term for x (-8x) but no linear term for y.
Based on these observations, the graph of the given equation represents a parabola.

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Answer:

200/3

Hope this helps!

These are the polynomial equations:

A = x^ (1/4) - ∛x + 4√x - 8x + 16

B = 3x² - 5x⁴ + 2x - 12

C = x³ - 7x² + 9x - 5x⁴ - 20

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

These are the non-polynomial equations:

E = 4/x⁴ + 3/x³ - 2/x² - 1

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

Polynomials are mathematical expressions that only use addition, subtraction, multiplication, and non-negative exponentiation of the variables, along with coefficients (constants that multiply with the variables), coefficients, and constants.

Some of the elements of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign. An equation must always begin with the "=" sign and have terms on both sides.

Let the polynomial equations be represented by the following letters: A, B, C, D, E, and F.

In the equation, we can solve for other values to obtain:

Moreover, a polynomial equation is not an algebraic equation that has a negative exponent or an exponent that is fractional. Thus, negative exponent expressions are not polynomials.

A = x^ (1/4) - ∛x + 4√x - 8x + 16

This polynomial exists.

B = 3x² - 5x⁴ + 2x - 12

This polynomial exists.

C = x³ - 7x² + 9x - 5x⁴ - 20

This polynomial exists.

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

It is a polynomial.

E = 4/x⁴ + 3/x³ - 2/x² - 1

It is not a polynomial.

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

A polynomial is not what it is.

The polynomials are thus resolved.

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Answer:

7r² - 6r + 9

Step-by-step explanation:

Simply combine like terms to find our final polynomial:

8r² - 7r - 9 - r² + r

7r² - 6r + 9

Answer:

7r^2-6r-9

Step-by-step explanation:

8r^2-7r-9-r^2+r

(8r^2-r^2)+(-7r+r)-9

bring to standard form

7r^2-6r-9

Answer:

12,402 plus the cash that you already had.

Step-by-step explanation:

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12402 = 954 x 13

YOU WILL BE RICHHHHH

The two scale degrees shared by the iii chord and the v chord are 2 and 4. Therefore, the correct option is option 2.

1: Determine the scale degrees of each chord

The iii chord consists of scale degrees 3, 5, and 7

The v chord consists of scale degrees 5, 7, and 2 (in some cases notated as 9)

2: Compare the scale degrees to find the shared ones

Both the iii chord and the v chord share scale degrees 2 and 4.

Hence, the two scale degrees which is shared by the iii chord and the v chord are option 2: 2 and 4.

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Answer:

\(\boxed{\sf{-\dfrac{4}{3} }}\)

Step-by-step explanation:

Use the slope formula.

Slope:

\(\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }\)

\(\sf{\dfrac{-4-0}{-2-\left(-5\right)}=\dfrac{-4}{3}=\boxed{\sf{-\dfrac{4}{3} } }\)

Answer:

\(slope=\frac{-4}{3}\)

Step-by-step explanation:

Step 1:  Determine the slope

\(slope=\frac{y_2-y_1}{x_2-x_1}\)

\(slope=\frac{-4-(0)}{-2 -(-5)}\)

\(slope= \frac{-4}{-2 + 5}\)

\(slope=\frac{-4}{3}\)

Answer:  \(slope=\frac{-4}{3}\)

Answer:

Step-by-step explanation:

In point-slope form, our equation would be y - 9 = 2(x - 1). Expanding, we get y - 9 = 2x - 2. Solving for y, we obtain the form of the equation as shown in the problem: y = 2x + 7.

So, the numbers that would go in the blanks would be 2 and 7, respectively.