If ∆ and ∆ are two triangles such that ∠ ≅ ∠, which of the following
would be sufficient to prove the triangles are similar?

The zoo keeper is 5.5 feet tall.

When the corresponding properties of two or more triangles are compared, and there is a common relations among them, then the triangles are said to be similar. Thus their corresponding sides may be compared in form of ratio.

In the question, the giraffe casts a shadow as given. Then by comparison, the height of the zoo keeper (h) can be determined as follows:

4/ 12 = h/ 16.5

12h = 4*16.5

      = 66

h = 66/ 12

  = 5.5

The zoo keeper is 5.5 feet tall.

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Answer:

Distance = 73 m

Step-by-step explanation:

Given that,

The length of a rectangle = 48 m

The width of a rectangle = 55 m

We need to find the diagonal distance. We can use the Pythagoras theorem to find it.

\(d^2=48^2+55^2\\\\d=\sqrt{5329}\\\\d=73\ m\)

So, the required distance is equal to 73 m.

Answer:

20X=200 because an equation contains LHS and RHS

Answer:

-----------------------------

We see that triangles MNO and MPQ are similar.

Corresponding sides of similar triangles are proportional:

Based on the information provided, it appears that a study will be conducted to compare the mean weights of two populations of raccoons.

To do so, random samples will be selected from each population, and the mean weight of each sample will be calculated. By comparing the mean sample weights of the two populations, researchers can determine whether there is a significant difference in the mean weights between the two groups.

It is important to note that the use of random samples helps to ensure that the results are representative of the entire population and reduces the risk of bias in the study.

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f(x) is continuous for all values of x, as it can be evaluated for any real number, including both rational and irrational numbers.

f(x) is continuous for all values of x. This means that the function can be evaluated for any real number, including both rational and irrational numbers.

For rational numbers, f(x) = 0. This is because rational numbers can be expressed as a fraction, and when a fraction is divided by itself, the result is always 1. We can express this mathematically as f(x) = x/x = 1 * 0 = 0.

For irrational numbers, f(x) = 7. This is because an irrational number cannot be expressed as a fraction, and so when an irrational number is divided by itself, the result is undefined. In this case, we can define f(x) as 7, since it is a constant value that is independent of the value of x. We can express this mathematically as f(x) = x/x = undefined * 7 = 7.

Therefore, f(x) is continuous for all values of x, as it can be evaluated for any real number, including both rational and irrational numbers.

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Answer:

4 x 12

Twelve 4 times is just 12 x 4

hope this helps!

Answer:

False

Step-by-step explanation:

Answer: 17

Step-by-step explanation:

6 1/2= 3/8x

X= 52/3= 17 1/3

Answer:

Since it is not an equation you would combine like terms and the answer would be 3x + (-24)

Step-by-step explanation:

There is no answer technically, you're just simplifying

Answer:

Step-by-step explanation:

you can't solve you don't know what X is so x+ 2x + (-24) is the answer

Answer:

19!!!

Step-by-step explanation:

4th row-15 people

5th - 17

6th - 19

{the series goes in form of odd numbers from 9 adding two as row number increases}

Answer:

19

Step-by-step explanation:

(4) 15 people

(5) 17 people

(6) 19 people

add 2 in each line

The correct response variable is the amount of pain relief.

Given that,

A tall glass of ice water, according to some, can help migraine sufferers find relief. Multiple migraine sufferers will be recruited by researchers to participate in a test. The individual will either take a placebo pill or a common painkiller when they get a migraine. Additionally, only half of each group will take the pill with water; the other half will sip on a small amount of water. The quantity of pain relief is then reported by participants.

To find :  What is the response variable in this experiment.

Explanation :

Response variable or study variable, in general called as dependent variable  is the variable of main focus in study. We want to study the changes in explanatory or independent variables are associated with response variable. Sometimes we want to measure the effect of predictors i.e explanatory variables on response variable.

For example in hand, we want to determine whether the drinking ice water is associated with amount of pain relief. Hence in this study, response variable is the amount of pain relief.

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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The phenomena of hiding distribution characteristics in a system from applications and users is known as distribution transparency. Access transparency, location transparency are some examples.

Distributed databases have the attribute of distribution transparency, which keeps consumers from knowing the internal workings of the distribution.

Thus, access transparency, location transparency are some examples of the (distribution) transparency.

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Using the normal distribution:

(a) 309 minutes after the doors open

(b) 172 minutes after the doors open.

In a normal distribution with mean μ and standard deviation σ, the z-score of a measure X is given by:

Z = ( X - μ ) / σ

It counts the number of standard deviations the value deviates from the mean.

We look at the z-score table after determining the z-score to determine the p-value, which is the percentile of X.

Now, we have

Mean of 3 hours and 48 minutes, therefore:

μ = 3(60) + 48 = 228 minutes

The standard deviation, σ = 52 minutes

(a) The doors open with 94% of the people who come to the Saturday show.

We look 94%, or 0.94, up in the cells of a z table.  The closest we can get to this value is 0.9406, which corresponds to a z score of 1.56:

Z = ( X - μ ) / σ

1.56 = ( X - 228 ) / 52

1.56 × 52 = X - 228

81.12 = X - 228

X = 309.12

X = 309 minutes

(b) We look 14%, or 0.14, up in the cells of a z table.  The closest we can get to this value is 0.1401, which corresponds to a z score of - 1.08:

- 1.08 = ( X - 228 )/ 52

- 1.08 × 52 = X - 228

- 56.16 = X - 228

X = 228 - 56.16

X = 171.84

X = 172 minutes

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Answer: The answer would be y = −4x − 5

Step-by-step explanation: I hope this helps!

Answer:

To find the mean height of the sample, we need to sum up all the values and divide them by the total number of values.

Sum of values = 59+61+62+63+63+64+65+65+66+67+67+67+67+69+73 = 964

Total number of values = 15

Mean height = sum of values / total number of values = 964/15 = 64.2666... ≈ 65.2

Therefore, the mean height, in inches, of this sample is approximately 65.2.

The answer is B.

The integral S/2 sinθ(x) cos²(x) dx is equivalent to the integral (E) Sou du.

To determine the equivalent integral of S/2 sinθ(x) cos²(x) dx, we can use the trigonometric identity:

cos²(x) = (1 + cos(2x))/2

Substituting this into the integral, we have:

S/2 sinθ(x) cos²(x) dx = S/2 sinθ(x) (1 + cos(2x))/2 dx

Now, we can distribute the sinθ(x) term:

= S/4 [sinθ(x) + sinθ(x) cos(2x)] dx

Using the trigonometric identity sinθ(x) cos(2x) = (1/2)sin(2x)sinθ(x), we get:

= S/4 [sinθ(x) + (1/2)sin(2x)sinθ(x)] dx

Factoring out sinθ(x), we have:

= S/4 sinθ(x) [1 + (1/2)sin(2x)] dx

Now, comparing this with the given options, we can see that the equivalent integral is:

(E) S u du

Therefore, the integral S/2 sinθ(x) cos²(x) dx is equivalent to the integral (E) Sou du.

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Answer:

AB/AD = AD/AC

Step-by-step explanation:

From the triangle given, we can get the required expression to calculate CD using the altitude theorem as shown:

AB/CB = CB/DB (Hypotenuse/Adjacent side using the similar triangle ABC and CDB)

AB/AC = AC/AD (Hypotenuse/Opposite side using the similar triangle ABC and ACD)

BD/CD = CD/AD (Adjacent/Opposite side using the similar triangle BCD and ACD)

Hence the odd one out will be option C AB/AD = AD/AC (since there is no altitude CD in the expression)

Answer:

AB/AD = AD/AC

Step-by-step explanation:

Had it on my quiz

The expectation value of the position squared when the particle in the box is in its third excited state is equal to \(\frac{9l^2}{8}\), where l is the length of the box. This is equal to nine-eighths of the length of the box squared.

The expectation value of the position squared when the particle in the box is in its third excited state can be calculated using the formula\(\langle x^2 \rangle = \frac{l^2}{8} \left( 2n^2 + 6n + 3 \right)\),

where n is the quantum number of the state and l is the length of the box. Here, n is 3, so the expectation value is equal to

\(\frac{l^2}{8} \left( 2 \times 3^2 + 6 \times 3 + 3 \right) = \frac{9l^2}{8}\).

This can be written as nine-eighths of the length of the box squared.

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Answer:

Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.

Step-by-step explanation:

Answer:

28>x

Step-by-step explanation:

7>x/4

remove the denominator by multiplying both sides by 4

4×7>x/4×4

28>x

The given statement "The random sample of 500 park users indicated that the average number of visits per month was 4.56. This is a statistic by the city council" is true because it is a numerical measure.

In statistics, a statistic is a numerical measure that summarizes a sample of data. It is used to estimate or infer the characteristics of the population from which the sample was drawn. The value of a statistic is calculated from the sample data and is subject to random variability due to sampling error.

In this case, the Parks and Recreation manager for the city of Detroit has reported that a random sample of 500 park users indicated an average of 4.56 visits per month. This value is calculated from the sample data and represents a statistic, as it is based on a sample and is subject to sampling variability.

The city council should view this value as a statistic and not as a parameter, which is a numerical measure that describes a characteristic of a population.

While the sample statistic can be used to make inferences about the population parameter, it is important to recognize that the sample statistic is subject to random variability and may not perfectly represent the population parameter.

Therefore, the statement that the value of 4.56 visits per month should be viewed as a statistic by the city council is true.

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Answer:

\(-\infty \: < x < \infty\)

or, in interval notation as

\(\left(-\infty \:,\:\infty \:\right)\)

Step-by-step explanation:

The domain of a function \(f(x)\) is the set of all values of \(x\) for which \(f(x)\) is real and defined

The given function is f(x) = x³ + 6x² + 5

There are no undefined points. So the domain is the set of all real numbers that can be expresses as

\(-\infty \: < x < \infty\)

or, in interval notation

\(\left(-\infty \:,\:\infty \:\right)\)

Answer:

23-22i

Step-by-step explanation:

The equivalent expression of (-45 - 22i) + 2(5 - 3i)(5 + 3i) is 23 - 22i

The complex expression is given as:

(-45 - 22i) + 2(5 - 3i)(5 + 3i)

Apply the difference of two squares on the expression

(-45 - 22i) + 2(5^2 - (3i)^2)

Evaluate the squares

(-45 - 22i) + 2(25 + 9)

Expand the bracket

-45 - 22i + 68

Evaluate the like terms

23 - 22i

Hence, the equivalent expression of (-45 - 22i) + 2(5 - 3i)(5 + 3i) is 23 - 22i

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