Pretend:

How would you solve a problem like this? I need to find the Ext. angle of ∠E

∠A≅∠B≅∠C
∠D≅∠E

∠F=90

Answer:

you add then you multiply the number that you have and then whatever you get thats your answer

Step-by-step explanation:

hopes this help :)

Answer:

480 calories

Step-by-step explanation:

(240/30)=(400/50)=(x/60)

Therefore

(240/30)=(x/60)

8=(x/60)

8*60=x

480=x

Answer: If the prices paid for a model of a new car are approximately normally distributed with a mean of $17,000 and a standard deviation of $500, it means that the majority of the prices paid for the car will fall within a certain range around the mean. Specifically, approximately 68% of the prices paid will be within one standard deviation of the mean, which in this case would be between $16,500 and $17,500. Approximately 95% of the prices paid will be within two standard deviations of the mean, which would be between $16,000 and $18,000. And approximately 99.7% of the prices paid will be within three standard deviations of the mean, which would be between $15,500 and $18,500. This shows that the prices paid for the car are relatively consistent, with only a small percentage falling outside of the range determined by the mean and standard deviation.

Step-by-step explanation:

The ratio between the hour hand and the second hand in a clock is 1:120.

1.1 A clock's ratio between the hour and minute hands can be calculated by looking at how both hands move over a certain amount of time.

In a 12-hour simple clock, the hour hand finishes a full upset (360 degrees) in 12 hours, while the moment hand finishes a full upheaval in an hour. We must compare the angular displacement covered by each hand over the same time period in order to calculate the ratio between the hour and minute hands.

Let's say that after "t" minutes, we want to figure out the ratio.

In 12 hours, the hour hand rotates 360 degrees, or 720 minutes (12 hours x 60 minutes/hour). The hour hand's angular displacement after "t" minutes can therefore be calculated as follows:

Hour hand angular displacement = (360 degrees divided by 720 minutes) x t In a similar fashion, the minute hand rotates 360 degrees every 60 minutes. As a result, the following formula can be used to determine the minute hand's angular displacement after "t" minutes:

Minute hand angular displacement = (360 degrees divided by 60 minutes) x t To determine the ratio, divide the hour hand's angular displacement by the minute hand's angular displacement:

The final formula is: Ratio = (Angular displacement of hour hand) / (Angular displacement of minute hand). By incorporating the respective equations,

The hour hand in a clock is 1:1 because the ratio is equal to ((360 degrees / 720 minutes) x t) / (360 degrees / 60 minutes) x t) = (360 / 720) / (360 / 60) = 1/2.

1.2 A clock's minute hand and second hand's ratio can be determined by taking into account how they move over a given amount of time.

Explanation:

In a clock, the second-hand goes through a full revolution in 60 seconds, while the minute hand goes through a full revolution (360 degrees) in 60 minutes. We must compare their angular displacements over the same time period in order to calculate the ratio between the minute and second hands.

Let's say that after "t" seconds, we want to figure out the ratio.

60 minutes divided by 60 seconds per minute sees the minute hand rotate 360 degrees or 3600 seconds. Therefore, the following formula can be used to determine the minute hand's angular displacement after "t" seconds:

The second hand rotates 360 degrees in 60 seconds, so the minute hand's angular displacement is equal to (360 degrees divided by 3600 seconds) x t. As a result, the following formula can be used to determine the second hand's angular displacement after "t" seconds:

Second hand angular displacement = (360 degrees divided by 60 seconds) x t To determine the ratio, divide the second hand angular displacement by the minute hand:

The final formula is: Ratio = (Angular displacement of minute hand) / (Angular displacement of second hand). By incorporating the respective equations,

((360 degrees / 3600 seconds) x t) / ((360 degrees / 60 seconds) x t) = (360 / 3600) / (360 / 60) = 1/10; consequently, the clock's minute hand to second hand ratio is 1:10.

1.3 A clock's hour hand and second hand's ratio can be determined by taking into account how they move over a given amount of time.

Explanation:

In a clock, the hour hand completes a 360-degree revolution in 12 hours, while the second hand takes 60 seconds to do the same. We must compare their angular displacements over the same time period in order to calculate the ratio between the hour hand and the second hand.

Let's say that after "t" seconds, we want to figure out the ratio.

In 12 hours, the hour hand rotates 360 degrees, or 43,200 seconds (12 hours x 60 minutes/hour x 60 seconds/minute). As a result, the hour hand's angular displacement after "t" seconds can be calculated as follows:

The hour hand's angular displacement is equal to (360 degrees divided by 43,200 seconds) x t. The second hand also rotates 360 degrees in 60 seconds. As a result, the following formula can be used to determine the second hand's angular displacement after "t" seconds:

Second hand angular displacement = (360 degrees divided by 60 seconds) x t To determine the ratio, divide the hour hand's angular displacement by the second hand's angular displacement:

The final formula is: Ratio = (Angular displacement of hour hand) / (Angular displacement of second hand). By incorporating the respective equations,

The hour hand in a clock is 1:120 because the ratio is equal to ((360 degrees / 43,200 seconds) x t) / (360 degrees / 60 seconds) x t) = (360 / 43,200) / (360 / 60) = 1/120.

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Answer:

4 miles

Step-by-step explanation:

4 miles because if if if 58 of mile which is just a half mile basically and she does 7 laps

7 x 0.58=4.06 which is 4 miles

Have a good day :}

Answer: the first one is 1/2 the second one is greater than and the third one is

less than

Step-by-step explanation: The experimental probability is the one that shows up the most and that's 1. The theoretical Probability would be 6/12 but it simplifies to 1/2.

Hope this is right!

Answer:

yes

Step-by-step explanation:

if it ends at 430 he will have 30 min before his appoionment

Answer:

Option C.

Step-by-step explanation:

Ok, first we know that:

Tan(0) = 0

While in the graph, we can see that:

f(0) = -2

Then our function will be something like:

f(x) = tan( k*x) - 2

We also can see that the graph has asymptotes at x = π/2 and at x = -π/2

While the normal tangent equation has the asymptotes at x = pi

So here we have that:

k*(pi/2) = pi

k = pi*(2/pi) = 2

k = 2

then the function is something like:

f(x) = tan(2*x) - 2

If we look at the options, we can see one that is:

tan( 2*(x + π)) - 2

we can rewrite this as:

tan(2*x + 2π) - 2

And remember that the period of a trigonometric function is 2π

This means that:

tan(a + 2π) = tan(a)

Then:

tan(2*x + 2π) - 2 =  tan(2*x) - 2

Which is the function that we found.

Then the correct option is C

Answer:

Step-by-step explanation:

Q1: <B = 150 °

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

8x-10 = 3x+90

5x=100 (subtract 3 from both sides)

x=20   (divide both sides by 5)

x = 20

<B= 3x +90

<B = 3 (20) +90

<B = 60 + 90

<B = 150

Q2: 62

An angles complement (not compliment, haha) is what the number that added to the angle equals 90°.

An angle is 34 more than its complement.

Let x represent the angle.

Let y represent its complement.

x= 34 +(90-x)

y= (90-x)

x + y = 90

34 + (90-x) + (90-x) =90

x= 62

Check the answer.

x= 34 more than complement.

62-34=28

62+28=90

Checked!

Words of encouragement:

Good luck!

Therefore, the equation of the line that is parallel to the given line and passes through the given point is:y = mx−mx₂+y₂Here, m is the slope of the given line, (x₂,y₂) is the given point, and b= \(−mx₂+y₂ \) is the y-intercept of the line.

When writing an equation of a line, we will use the point-slope form y−y₁ = m(x−x₁), where m is the slope of the line and (x₁,y₁) is a point on the line. Then we will rewrite the equation in slope-intercept form y = mx+b, where b is the y-intercept of the line.

Finally, we will substitute the given values into the equation to obtain the desired equation of the line.Let's say we are given a line with slope m and y-intercept b. To write the equation of a line that is parallel to this line and passes through a given point (x₂,y₂),

we will follow these steps:

Step 1: Determine the slope of the line. Since the line is parallel to the given line, it has the same slope as the given line. Therefore, the slope of the line is m.

Step 2: Write the point-slope form of the line. Using the point-slope form y−y₁ = m(x−x₁) and the given point (x₂,y₂), we obtain:y−y₂ = m(x−x₂)

Step 3: Write the equation in slope-intercept form. To do this, we will solve for\( y:y−y₂ = m(x−x₂)y−y₂ = mx−mx₂y = mx−mx₂+y₂\)

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The product of three numbers 2 , 4, 9 will be 72 .

Given,

Absolute values: 2 , 4 , 9

Here 2 can be generated both from 2 and - 2, 4 from 4 and - 4 and 9 from 9 and - 9.

Then, the product of the three numbers is presented below:

|x₁| · |x₂| · |x₃| = 2 · 4 · 9 = 72

The product of the three absolute values is equal to 72.

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Answer:

did you ever solve it ?

Step-by-step explanation:

The acceptable row operation when conducting Gaussian Elimination is;

Multiplying an entire row by four

     Gaussian Elimination is defined as row reduction, is a method used for solving  a system of linear equations.

Now, let us look at the options;

Option A; This option is wrong because multiplying an entire row by zero eliminates the entire equation and as such makes it invalid.

Option B; This statement is not correct because in gaussian eliminiation, we try to make an equation easy to add to another one to eliminate one of the variables. But in this case replacing with reciprocal does not achive that purpose.

Option C; This statement is wrong because we only add or subtract one equation from another and not subtract a number from an equation.

Option D; This statement is correct because it means that by multiplying the entire row by 4, it means we are following the process of trying to make the equation easy to add or subtract from another equation to eliminate one of the variables.

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3,14 × 25² × 100 = 196,250cm³

3,14 × 4/3 × 10³ = 4,186.666

= 196,250 - 4,186.666

= 192.063cm³ (B.)

Answer:

2.25π square inches

Step-by-step explanation:

Area = π\(r^{2}\)

Diameter = 2r

So in this case, radius = 1.5 inches

Plugging that into the area formula produces the answer

Answer:

y = 8/3

Step-by-step explanation:

1. distribute 3(3y + -1)      = 9y - 3

2. distribute -3(2y)       = -6y

so, the equation becomes 9y - 3 - 6y = 5

3. combine 9y and -6y      = 3y

4. add 3 to both sides so the 3 on the left gets canceled out

the equation is now 3y = 8

5. divide 3 on both sides to isolate y

then, you get your answer! hope this helps!

The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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Even though the first student scored 150, the expected average IQ score for the remaining four students is still 100.

Explain average

The average is a statistical measure that represents the central tendency of a set of values. It is calculated by adding up all the values and dividing them by the total number of values. The average provides a single value that represents the typical value in the set and is often used to compare different sets of data or to summarize large amounts of data.

According to the given information

Let X be the random variable representing the IQ score of an individual student. Then, the sample mean of the five students, denoted by Y, can be expressed as:

Y = (X1 + X2 + X3 + X4 + X5) / 5

Given that the first student scored 150, the expected value of the sample mean of the remaining four students, denoted by E(Y|X1=150), can be calculated as follows:

E(Y|X1=150) = E((X2 + X3 + X4 + X5) / 4 | X1 = 150)

Since X1 = 150 is an observed value, we can treat it as a constant and apply the linearity of expectation:

E((X2 + X3 + X4 + X5) / 4 | X1 = 150) = (E(X2 | X1 = 150) + E(X3 | X1 = 150) + E(X4 | X1 = 150) + E(X5 | X1 = 150)) / 4

Now, since the sample is random, the remaining four IQ scores are also independent and identically distributed as X, with the same mean of 100. Therefore, we have:

E(X2 | X1 = 150) = E(X3 | X1 = 150) = E(X4 | X1 = 150) = E(X5 | X1 = 150) = E(X)

Thus, we can simplify the expression as:

E(Y|X1=150) = (4E(X) / 4) = E(X) = 100

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Let G be a group and a be an element of G such that |a| ≤ 5. We need to show that c(a) ≤ c(a3).

To prove this, consider an arbitrary element x in c(a). Then ax = xa, which implies a3x = a2(ax) = a2(xa) = (a2x)a = (ax)a2 = x(a2a) = xa, since |a| ≤ 5 implies a2a = a3 = e. Therefore, x is also in c(a3), which means that c(a) is a subset of c(a3).

Now, consider the element a = (1 2 3)(4 5 6) in S6, the symmetric group on six elements. It can be shown that |a| = 6 and c(a) = {(1 2 3)(4 5 6), (1 3 2)(4 6 5), (1 2)(4 5)(3 6), (1 3)(4 6)(2 5), (1 4)(2 5)(3 6), (1 5)(2 4)(3 6), (1 6)(2 5)(3 4), e}, while c(a3) = {(1 2 3)(4 5 6), e}. Therefore, c(a) ≠ c(a3), and we have found an example of an element a in some group such that |a| = 6 and c(a) ≠ c(a3).

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Answer:

y=3x (squared) -30x+79 and y-intercept is 79

Step-by-step explanation:

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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Answer:

y=60x

Step-by-step explanation:

Answer:

7898955

Step-by-step explanation:

W212W

Answer:  (- 2h + 1) + 2(3h - 4) = 4h -7

Step-by-step explanation:

First, remove unnecessary parentheses

- 2h + 1 + 2(3h - 4)

then distribute 2 through the parentheses

- 2h + 1 + 2(3h - 4) = -2h + 1 + 6h -8

Combine like terms

-2h + 1 + 6h -8 = 4h + 1 - 8

1-8= 7

So the answer is

4h - 7

Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer:  =1890x+216

Hope this helps.

Answer:-14

Step-by-step explanation: -14

5(2+x)=5

or, 10+5x=5

or, 5x= -5

or, x= -1

Hope it helps

Answer: 50

Step-by-step explanation:

Use pythagorean

c²=a²+b²   c is the hypotenuse which is across from the right angle or the longest side

x²=14²+48²

x²=2500

x=√2500

x=50

The length of the movie screen at the local cinema is 37188552  feet.

Let's assume the width of the rectangle movie screen is represented by 'w' feet. According to the given information, the length of the screen is 303030 feet longer than the width. Therefore, the length can be expressed as 'w + 303030' feet.

The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter of the movie screen is 148148148 feet. We can set up the equation as follows:

2(w + (w + 303030)) = 148148148.

Simplifying the equation, we have:

2(2w + 303030) = 148148148.

4w + 606060 = 148148148.

4w = 147542088.

Dividing both sides by 4, we get:

w = 36885522.

Therefore, the width of the screen is 36885522 feet. Since the length is 303030 feet longer than the width, we can calculate the length as:

Length = Width + 303030 = 36885522 + 303030 = 37188552 feet.

Hence, the length of the movie screen is 37188552  feet.

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