One December day, two spies decide that they must meet to exchange documents. One is in New York City and the other is in Indianapolis, 700 miles away by train. The spies want to be together for only a brief moment. They consult train schedules and find that there is a stop that will meet their needs.
 
The Midwest Flyer leaves Indianapolis at midnight and arrives in New York City at 2:00 PM, 14 hours later. The Silver Streak leaves New York City at 2:00 AM and arrives in Indianapolis at noon, 10 hours later. How far from each city do the spies plan to rendezvous, and at what time?

Step-by-step explanation:

Angles in the same segment. The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

Picture 1  a° = a°  they are the same

Picture 2  p= 52°  q= 40° Angles in the same segment are equal. if they ask you to calculate you just show both angles p= 52 and q=40.

Picture 3 + 4  Let the obtuse angle MOQ = 2x.  

Using the circle theorem, the angle at the centre is twice   the angle at the circumference.

Therefore picture 4 tells us and proves;

Angle MNQ = x and angle MPQ = x.

Picture 5

A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle.

The second shape is not a cyclic quadrilateral. One corner does not touch the circumference.

Picture 6

The opposite angles in a cyclic quadrilateral add up to 180°.

a + c = 180°

b + d = 180°

Picture 7

Example

Calculate the angles a and b.

The opposite angles in a cyclic quadrilateral add up to 180°.

This is a picture that couldn't be added but has a quadrilateral occupying half the triangle consisting of 3 arcs the middle one was 140 and proved part of one triangle. The x (a) missing angle showed below a = 180-60 = 120 °

So hopefully this will help you remember the format here for quadrilateral shapes within a circle.

b = 180 - 140 = 40°

a = 180 - 60 = 120°

Answer:

( - [tex]\frac{45}{19}[/tex], - 3)

Step-by-step explanation:

Given

19x = 15y and (x, - 3 ), that is y = - 3

Substitute y = - 3 into the equation

19x = 15(- 3) = - 45 ( divide both sides by 19 )

x = - [tex]\frac{45}{19}[/tex]

Answer:0.385

Step-by-step explanation:(3.5*100)*11

(3.5*11)*100

38.5*100 = 0.385

Answer:

10 -

c = 5.1

a = 3.1

11 -

Step-by-step explanation:

10 -

3.7 / 3 = 1.2333    You need this to find how much greater the left side is.

c = 4.1 x 1.2333

a = 2.5 x 1.2333

11 -

y=15

z=

(If two triangles are next to each other with a straight line and one is a right angle, so is the other triangle)

Since they are both right angles, they are 3,4,5 triangles.

The 12 would count as the four since is divides by 4

The y would equal 15 because it is the longest side meaning it has to be the  5. Since we had to divide the 12 by 3 to get the four, we have to multiply the 5 by 3 to get 15.

Now to find z, you will make the equation 15/12=z/5

Answer:

I believe it is c

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

negative times a negative is a positive

In mathematics, a double negative gives a positive result. Therefore, -(-2) equals 2, so the number equivalent to -(-2) is 2.

In Mathematics domain, the double negative rule states that the 'negative of a negative is a positive'. It suggests that if you have two negative signs, one turns the other into a positive. So, -(-2) is equals to +2. In simpler terms, if you have a negative number and you negate it, you get the positive version of that number. Therefore, the number that is equivalent to -(-2) is 2

.

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Answer:

x=7

Step-by-step explanation:

The two lines indicate that it is an isosceles triangle. This means that the bottom two angles and lengths are the same.

To work this out you would first minus 104 from 180, this gives you 76. Then you would multiply 25 by 2, which gives you 50. This is because the angles are the same. Then you would add 50 to 76, which gives you 126. Then you would multiply 9 by 2, which gives you 18. This is because it is an isosceles triangle and the bottom two sides are the same. Then you would divide 126 by 18, which gives  you 7.

1) Minus 104 from 180.

[tex]180-104=76[/tex]

2) Multiply 25 by 2.

[tex]25*2=50[/tex]

3) Add 50 to 76.

[tex]50+76=126[/tex]

4) Multiply 9 by 2.

[tex]9*2=18[/tex]

5) Divide 126 by 18.

[tex]126/18=7[/tex]

6) [tex]x=7[/tex]

Answer Checking:

To check your answer you would work backwards. First you would multiply 7 by 18, which gives you 126. Then you would minus 50 from 126, which gives you 76. Then you would add 104 to 76, which gives you 180.

1) Multiply 7 by 18.

[tex]7*18=126[/tex]

2) Minus 50 from 126.

[tex]126-50=76[/tex]

3) Add 104 to 76.

[tex]104+76=180[/tex]

Because it is a triangle the internal angles all add up to 180. And so if your answer is 180 then the steps are correct.

Answer:

f(1) = 11

Step-by-step explanation:

Given

f(x) = [tex](11)^{x}[/tex]

To evaluate f(1) substitute x = 1 into f(x)

f(1) = [tex](11)^{1}[/tex] = 11

The simplified solution of the function at f(1) = 11.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The given function is,
f(x) = 11ˣ

In order to determine the value of f(1), we have to simply put x = 1 in the function,
f(1) = 11¹

As we know if the degree of any value is 1 than the solution of the expression is always the same as it was,
So,
f(1) = 11

Thus, the simplified solution of the function at f(1) = 11.

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Answer:

20 units

Step-by-step explanation:

Given that:

R T and G J intersect at point H.

As we know, when two chords intersect each other inside a circle, the products of their segments are equal.

So the product of RH and HT = 10*16 = 180 units

<=> the product of GH*HJ = 160 units

<=> HJ = 160 / GH

<=> HJ = 160/8 = 20 units

Answer:

b 20 on edge

Step-by-step explanation:

Answer:

D) No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.

Step-by-step explanation:

Answer:

D) No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.

Step-by-step explanation:

Answer:

Hope it helps

Step-by-step explanation:

The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.

It is the average distance between each data point and the mean.

The mean absolute deviation is given as

[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]

The table is given below.

No high school diploma             High school diploma

             10                                                   19

           9.50                                               15.25

           11.50                                                 14

             13                                                 15.75

The mean of No high school diploma will be given as,

μ₁ = (10 + 9.50 + 11.50 + 13) / 4

μ₁ = 11

Then the mean absolute deviation is calculated as,

(MAD)₁ = (|10 - 11| + |9.5 - 11| + |11.5 - 11| + |13 - 11|) / 4

(MAD)₁ = 1.25

The mean of high school diploma will be given as,

μ₂ = (19 + 15.25 + 14 + 15.75) / 4

μ₂ = 16

Then the mean absolute deviation is calculated as,

(MAD)₂ = (|19 - 16| + |15.25 - 16| + |14 - 16| + |15.75 - 16|) / 4

(MAD)₂ = 1.50

The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.

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The complete question is given below.

Answer:

x = 5, y = 6

Step-by-step explanation:

When you put these values in for x and y, the corresponding sides are congruent, also making the triangles congruent by the Hypotenuse-Leg Theorem.

I hope this helps! ☺

Answer:

B) 0; relatively no correlation.

Step-by-step explanation:

Data tends to not be collinear

The correct statement is,

D)1; strong positive correlation between the monthly temperature averages and the amount of precipitation.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We get;

Based on the general understanding of climate trends, the correct correlation between a city's monthly temperature averages and precipitation totals would be;

⇒ strong positive correlation between the monthly temperature averages and the amount of precipitation.

because in warmer months, the air can hold more moisture, leading to more precipitation. In colder months, there is less moisture in the air, leading to less precipitation.

Thus, as the temperature increases, so does the amount of precipitation, resulting in a strong positive correlation.

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Answer:

137.8

Step-by-step explanation:

X score for value that is greater than 45% of the data values= 156.78.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Mean= 140

Standard Deviation = 18

Now, using z- score

z= (x- B)/ A

So, Z score for value above 45 % of data set = 0.9987 - 0.0668=0.9319

0.9319 = ( x - 140)/ 18

x= 16.7742 + 140

x= 176. 4472

Hence, X score for value that is greater than 45% of the data values is 156.78.

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Answer:

when b=7 cm, h=5 cm, you get the smallest area

Step-by-step explanation:

Answer:

b=7 h=5      35

Step-by-step explanation:

6x7=42

7x5=35

10x4=40

4x9=36

35 is smaller than all the other options! :) hope this helped!

Answer:

6.6 HOURS!

Step-by-step explanation:

Hope this helps!

:D:D:D:D

Step-by-step explanation:

2x² + x - 28

= 2x² + ( 8 - 7)x - 28

= 2x² + 8x - 7x - 28

= 2x ( x + 4) - 7( x + 4)

= (x + 4) (2x - 7)

Hope it will help you :)

Answer:

£33

Step-by-step explanation:

The share ratio is 3 :3:4

So the rational division is 3 + 3 + 4 = 10

Gordon and Malachy share is £77,

[tex] calculting \: total \: amt \: shared \\ \frac{3}{10} + \frac{4}{10} = 77 \\ \frac{3 + 4}{10} = 77 \\ \frac{7}{10} = 77 \\ total \: amt \: = \frac{77 \times 10}{7} = 110[/tex]

Carol's share =

[tex] \frac{3}{10} \times 110 = 33[/tex]

=£33

Final answer:

Gordon and Malachy's combined share corresponds to 7 parts of the ratio. One part is worth £11, and since Caroline's share is 3 parts of the ratio, she receives £33 in total.

Explanation:

The question involves dividing a sum of money according to a given ratio. Since Gordon and Malachy together receive £77, we need to first find out the ratio representing the sum of their parts and then calculate Caroline’s share.

Given the ratio of Gordon, Caroline, and Malachy’s share as 3:3:4, we can see that Gordon and Malachy’s ratio adds up to 3 + 4 = 7 parts. To find the value of one part, we divide the total amount they have (£77) by 7.

£77 divided by 7 parts equals £11 per part. Since Caroline’s share is 3 parts in the ratio, Caroline receives 3 parts times £11 per part, which equals £33. Therefore, Caroline gets £33.

Answers and Step-by-step explanations:

3. When we have congruent triangles, the corresponding sides are the same. Here, we know that ABC is congruent to DEC and since ED and AB are corresponding sides (my assumption), then they are equal. Set them equal:

4y + 2 = 6y - 4

2y = 6

y = 3

Plug this back into the equation for AB:

6 * 3 - 4 = 18 - 4 = 14

So, AB is 14 units.

4. Congruent triangles also have congruent corresponding angles. Here, angles ACB and DEF are congruent, while angles BAC and EDF are congruent. So, set them equal:

3y = 42

and

87 = 5x + 2

Then, y = 42/3 = 14 and x = (87 - 2)/5 = 85/5 = 13.

x = 13, y = 14

Hope this helps!

Answer:

1. x = 31

2. 74

3. 14

4. x = y = 17

Step-by-step explanation:

1. AB = JK

2x + 12 = 4x - 50

2x = 62

x = 31

2. 2(31) + 12 = 74

3. DE = AB

4y + 2 = 6y - 4

2y = 6

y = 3

AB = 6(3) - 4 = 14

4. Angle D = Angle A

5x + 2 = 87

5x = 85

x = 17

Angle C = Angle F

Angle F = 180 - 87 - 42 = 51

3y = 51

y = 17

Answer:

approximately $18,984

Step-by-step explanation:

so 15% multiplied by 5 is 75%

25,000 multiplied by .75 is 18,750

Answer:

It is always recommended to declare a function before its use so that we don't see any surprises when the program is run

Step-by-step explanation:

The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.

To find the difference in cubic centimeters between the areas of the two flying disks, we need to calculate the volumes of the disks and then find the difference between them. The volume of a disk can be calculated using the formula V = (π * r^2 * h) / 3, where r is the radius and h is the height. Since the disks are 2-dimensional, we can assume their height is negligible.

For the disk with a diameter of 12 cm (radius = 6 cm), the volume is (π * 6^2 * 0) / 3 = 0 cm³.

For the disk with a diameter of 24 cm (radius = 12 cm), the volume is (π * 12^2 * 0) / 3 = 144π cm³.

The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.

Answer:

[tex] y=2.5 \sin(\pi t)[/tex]

Step-by-step explanation:

Time period $T$ is 2 sec.

$T=\frac{2\pi}{\omega}$

$\therefore 2=\frac{2\pi}{\omega}$

$\therefore \omega=\pi$

The amplitude is half the distance between highest and lowest points.

Thus, amplitude $A= 2.5$

The equation to the SHM is:

$y=A \sin (\omega t)$

Or,

$\boxed{y=2.5 \sin (\pi t)}$

The equation that models the position of the weight at time t seconds is y = 2.5 sin(πt).

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given that;

Time taken to complete one cycle= 2sec

Distance from lowest to highest point= 5in

Now,

The position of the weight attached to a spring that is oscillating up and down can be modeled by a sinusoidal function of time. Specifically, the equation for the position (in inches) of the weight as a function of time (in seconds) can be written in the form:

y = A sin(ωt + φ) + k

where:

A is the amplitude of the oscillation, which is half the distance between the highest and lowest point. In this case, A = 5/2 = 2.5 in.

ω is the angular frequency of the oscillation, which is related to the period T (the time for one complete cycle) by the formula ω = 2π/T. In this case, T = 2 sec, so ω = 2π/2 = π rad/sec.

φ is the phase shift of the oscillation, which determines the starting position of the weight. Since no specific starting position is given in the problem, we can assume that the weight starts at the highest point, which corresponds to a phase shift of φ = 0.

In this case, k = (5 + (-5))/2 = 0.

Putting all of these values into the equation, we get:

y = 2.5 sin(πt + 0) + 0

Simplifying, we get the final equation for the position of the weight at time t seconds:

y = 2.5 sin(πt)

Therefore, by the equations the answer will be y = 2.5 sin(πt).

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Answer:

A

Step-by-step explanation:

Answer:

6x + 12x + 90 = 180

Step-by-step explanation:

Well 6x plus 12x must equal 90 degrees. 6x plus 12x plus 90 has to equal 180.

Therefore, 6x + 12x + 90 = 180

Because then, if you subtract 90 from both sides, you have that 6x + 12x = 90.

Answer:

Not sure, but I would put A

Step-by-step explanation:

Step-by-step explanation:

[tex] {20x}^{6} \\ = 2 \times 2 \times 5 \times x \times x \times x \times x \times x \times x[/tex]

hey Emma your answer is here

Answer:

From 2012 to 2013 30% of people move for family based reasons so about 12492.6 give or take based on small variation

Step-by-step explanation:

divide 41,642 by 30%