Please answer correctly !! Will mark brainliest !!!!!!!!!

We are given the following information

Line EF intersects line AB and line CD

GH ≅ IH

m∠EGB = 50° and m∠DIG = 115°

We are asked to explain that why line AB is parallel is line CD.

As you can see, corresponding angles are equal so, m∠GHI = m∠EGB = 50°

We know that angles on a straight line equal 180°

Therefore, in triangle GHI, angle H equals 50, angle I equals 65 and angle G equals 65

Angles in a triangle equals 180

Therefore, lines AB and CD are parallel

Answer:

These are the answers according to serials.

Answer:

345

Step-by-step explanation:

The velocity of a car over five hours is given by:

\(\displaystyle v(t)=60\ln(t+1),\, 0 \leq t \leq 5\)

And we want to find the total distance traveled from t = 0 to t = 5.

Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from t = 0 to t = 5, our limits of integration are t = 0 and t = 5. Hence:

\(\displaystyle D=\int_0^5 |\underbrace{60\ln(t+1)}_{v(t)}|\, dt\)

Since v(t) ≥ 0 for all t in the interval [1, 5], we can remove the absolute value. Use a calculator:

\(\displaystyle D=60\left(6\ln(6)-5)=345.0334...\approx 345\)

Answer: x=45

Step-by-step explanation:

60/120=x/90

1/2=x/90

Given that you know that x is gonna be half 90.

So 45. Then plug it in

60/120=45/90

1/2=1/2

Or do it like

60 = x

120 90

5400=120x

Then divide 120 by 5400

5400÷120=45

The coordinates of the images after the translation are K' (-4, 6).

To find the image coordinates of K', we need to translate the coordinates of K 6 units up.

This can be done by adding 6 to the y-coordinate of K.

So, the y-coordinate of K' will be:

y-coordinate of K' = y-coordinate of K + 6

= 0 + 6

= 6

To find the x-coordinate of K', we just need to keep the x-coordinate of K the same, since the translation is only in the vertical direction.

Therefore, the image coordinates of K' are (-4, 6).

So, the correct answer is C. K′(−4, 6).

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The rocket will reach the maximum height in 1.5 seconds, and the maximum height of the rocket is 35.96 ft.

Parabolic function is a function of the form f(x) = ax² + bx + c. It is a quadratic expression in the second degree in x.

Given that, a toy rocket is shot vertically into the air from a launching pad 3 feet above the ground with initial velocity of 48 ft/sec and the function is given by, h(t) = -16t²+48t+3

h(t) = -16t²+48t+3

= 3 feet

= 48 ft/sec

We find the vertex of the function,

Vertex = -b/2a = -48/-32 = 1.5

= 1.5 seconds

= (c-b²)/4a = (3-2304)/4*(-16) = 2301/64 = 35.96 ft

Hence, The rocket will reach the maximum height in 1.5 seconds, and the maximum height of the rocket is 35.96 ft.

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Answer:

33.3%

Step-by-step explanation:

Take the original price and subtract the new price

36-24=12

Divide this by the original price

12/36 = 1/3 = .33333repeating

Multiply by 100 % to get to percent form

.3333 repeating * 100%

33.3333%

Round to the nearest tenth

33.3%

Answer:  -2

Explanation: The coefficient is the number to the left of the variable.

Another example would be that 10xy has the coefficient 10.

Something like x^2 has coefficient 1 because x^2 = 1x^2.

Answer:

i think its b

Step-by-step explanation:

Answer:

x=4.5  

Step-by-step explanation:

2 [x-3]-5=7

2x - 3 - 5 =7

2x - -2 =7

7+2=9

9/2=4.5

i may be wrong <3

these are the whole statements: Cosine function has a 24-period period. The cosine function's midline has the equation y = 19.25. The cosine function has a 15.25 amplitude.

A mathematical equation, such as 6 x 4 = 12 x 2, states that two amounts and values are equal. two. Countable noun. A scenario known as an equation means that two or more components must be taken into account in order to comprehend or understand the overall situation.

Midline = (34.5 Plus 4) / 2 (34.5 + 4) = 19.25 Maximum value plus Minimum value

As a result, the following equation represents the data's model for the midline of a cosine function:

y = 19.25

The biggest deviation from the function's midline is its amplitude in the cosine function. The maximum amount of v(x) was 34.5 cm/s, and the minimum is 4 cm/s, according to the data provided. The cosine function used to model the data has the following amplitude:

Amplitude is calculated as (highest value – minimum values) / 2 (or 34.5 - 4) / 2 (or 15.25).

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Answer:

32/33

Step-by-step explanation:

We first need to find out how many square yards are vacuumed every one minute.

Let's set up a chart:

yards        minutes

8/11      -->    3/4

y          -->     1

Here, y is the number of yards it takes to vacuum in one minute. Next, we can use cross-multiplication to find out y.

1. Multiply 1 by 8/11 to get... 8/11

2. Multiply 3/4 by y to get... 3/4y

3. Equate them: 8/11 = 3/4y

4. Divide both sides of the equation by 3/4 OR multiply both sides of the equation by 4/3 to isolate y, the variable

5. This gives us 32/33 = y

Answer:

Step-by-step explanation:\(\frac{2^{5} }{7^{5} }\)

The given equation is:

The equation will have distinct roots if:

Solve for zero to get:

Answer:

Stationery section will be 4 feet wide.

Step-by-step explanation:

Total area of bookstore = 288 sq ft

Area to be devoted to stationery = \(\frac{1}6\) of total area = \(\frac{1}{6} \times 288 = 48\ sq\ ft\)

Length of stationery section = 12 ft

To find:

Width of stationery section = ?

Solution:

First of all, let us have a look at the area of rectangle:

\(A = Length \times Width\)

Here, we are given the length for stationery section and area of stationery section has been calculated above.

And we have to find the Width of stationery section.

So, let us put the two values to find the third value.

\(\Rightarrow 48 = 12 \times Width\\\Rightarrow Width = \dfrac{48}{12}\\\Rightarrow \bold{Width = 4\ ft}\)

So, the answer is:

Stationery section will be 4 feet wide.

Answer:b=2A/h. Hope this helps!

Step-by-step explanation:

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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Answer:

The right answer is: Option C: x+5

Step-by-step explanation:

Let m1 be the miles Lukas drove on Saturday and Let m2 be the miles he drove on Sunday

\(m_1 = 4x-5\\m_2 = 3x-10\)

The difference can be found out by subtracting m2 from m1

minus sign will be distributed into the bracket and alike terms will be added or subtracted according to sign.

\(m_1 - m_2 = 4x-5 - (3x-10)\\= 4x-5-3x+10\\= x+5\)

The difference of miles driven is: x+5

Hence,

The right answer is: Option C: x+5

By using power properties, the expression y⁸ · y³ · x⁰ · x⁻² is equivalent to the expressions 1 / (x² · y⁵) and x⁻² · y⁻⁵. (Correct choices: C, D)

In this question we have a power function with two variables and which has to be simplified by using power properties. The detailed procedure is shown below:

By using power properties, the expression y⁸ · y³ · x⁰ · x⁻² is equivalent to the expressions 1 / (x² · y⁵) and x⁻² · y⁻⁵. (Correct choices: C, D)

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Answer:

a 20 X 40 X x

b just a guess but 2 centimeters

c 1600 or 800 depending on what x is

The measure of validity based on showing a substantial correlation between selection test scores and job performance scores is known as criterion-related validity.

Criterion-related validity is a type of validity that examines the relationship between scores on a selection test and an external criterion, which is typically job performance in this case. The purpose is to determine how well the test predicts or correlates with an individual's ability to perform successfully in a specific job or role.

To establish criterion-related validity, data is collected from individuals who have taken the selection test and their subsequent job performance is measured. By analyzing the correlation between test scores and job performance scores, researchers can determine the extent to which the test accurately predicts future job performance.

If there is a substantial positive correlation between selection test scores and job performance scores, it indicates that the test is valid and can effectively differentiate between individuals who are likely to perform well in the job and those who are not. This provides evidence that the test is a useful tool for selecting candidates who have the potential to succeed in the specific job or role.

In summary, criterion-related validity is demonstrated when there is a significant correlation between selection test scores and job performance scores, indicating the test's ability to predict future job success.

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Answer:

10

Step-by-step explanation:

acellus

The period of the given graph is 10.

Use the concept of a period of function defined as:

One full wave is set up in a medium for the length of time it takes a particle of that medium to complete one vibration or one wave period.

In the given wave,

X-axis represents time

The Y- axis represents the amplitude of the curve

As we can see,

The first peak of this graph is located at x = 1 and the second peak is at,

x = 13

Since the period is the time interval between two consecutive peaks in a graph.

In this case, the time interval is 10.

Hence,

The period of the given graph is 10.

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Answer:

559

Step-by-step explanation:

532*.05

26.6

aout 27 people attended the other team's game

532+27 = 559

in this case, we are assuming that the series \(cn xn\)and \(dn xn\) are both convergent, and thus their product series (cn dn)xn will also converge within a radius of 5.

The radius of convergence for the series \((cn dn)xn\) can be determined by considering the product of the radii of convergence for the individual series \(cn xn\)and \(dn xn\). In this case, the series \(cn xn\)has a radius of convergence of 5 and the series dn xn has a radius of convergence of 6.

To find the radius of convergence for the product series (cn dn)xn, we take the minimum of the two radii. In other words, we choose the smaller radius between 5 and 6.

Therefore, the radius of convergence for the series\((cn dn)xn\) is 5, since it is the smaller of the two radii.

It's important to note that the product of two convergent power series may not always converge.

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Answer:

100

4

1500

22

Step-by-step explanation:

1 meter ⇒ 100 centimeters

Answer:

1 m = 100 cm

4 m = 400 cm

15 m = 1500 cm

22 m = 2200 cm

Step-by-step explanation:

Every Meter is 100 Centimeters

Answer:

1/81

Step-by-step explanation:

P(H,H,H,H)=16/81

fourth root of 16/81= 2/3

so the probability of getting tails would be 1/3

probability of getting 4 tails would be:

P(T,T,T,T)=(1/3)^4

=1/81

The probability of getting 4 tails when the coin is thrown 4 times is 1/81

We have:

P(Head 4 times) = 16/81

This means that:

P(Head)^4 =  16/81

Take the 4th root of both sides

P(head) = 2/3

The probability of a tail is calculated as:

P(tail) = 1 - P(Head)

This gives

P(tail) = 1 - 2/3

P(tail) = 1/3

When thrown 4 times, we have:

P(tail)^4 = (1/3)^4

P(tail) = 1/81

Hence, the probability of getting 4 tails when the coin is thrown 4 times is 1/81

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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