What is the sum of the measures of the exterior angles of any convex polygon

Answers

Answer 1

Answer:

360 degrees is sum of the measures of the exterior angles of any convex polygon.

Step-by-step explanation:

Convex Polygon:

A convex polygon is a polygon with all its interior angle less than 180 degrees.Thus, all the vertices of the polygon will be away from the interior of the polygon.If all the angles are not less than 180 degrees then it becomes concave polygon.Example: Triangle is a convex polygon with three sides.

Exterior angle sum Property:

If we extend the side of the polygon, then the angle formed by the extended side and polygon side is an exterior angle.The sum of all the exterior angles if a convex polygon is 360 degrees.If this convex polygon is a regular polygon, then the sum is 360 degrees and each exterior angle is equal to [tex]\frac{360}{n}[/tex], where n is the number of sides in regular polygon.

Answer 2

The sum of the measures of the exterior angles of any convex

polygon is 360°.

What is a Convex polygon?

This is the polygon that is the boundary of a convex set and has

all the interior angles to be less than 180°.

The interior angles is 180(n-2) degrees and each exterior angle

is supplementary to its interior angle thereby resulting in the

sum of the exterior angles to be 360°.

Read more about Convex polygon here https://brainly.com/question/520645

Related Questions

The number of bacteria in a petri dishes 524 and growing at a rate of 7% every month how many bacteria will be there in seven months

Answers

If something is growing at a rate of 7% a month, that means you take the original amount and multiply it by 0.07 and then add it to the original amount.

Luckily, there is a quick way of doing this. Just take the original amount and multiply it by 1.07. Since there are a total of 7 months, we must multiply the original amount by 1.07 seven times.

So our answer is:

524 * 1.07^7 =

841.429 bacteria

7% = 0.07

since it is growing add that to 1 = 1.07

now that is to the power of length of time 1.07^7

now multiply

524 x 1.07^7 = 841.429 ( round answer as needed)

What is the value of x?

A. 68°
B. 62°
C. 112°
D. 124°

please show your work

Answers

Very simple:
As the sides that subtend the angle x are of equal lengths and are joined to form a triangle, we know the only other angle (the blank one) is going to also be 56° and since angles in a triangle always add up to 180°, we just have to do:
180 - (2 × 56) = 68°

The results of a study indicate that the mean weight of adult skunks in an area is between 4.3 kg and 4.9 kg. What is the study’s margin of error?

Answers

Since we are given the range of the area, the margin of error can be calculated by firstly calculating the difference of the range and dividing by 2. This is expressed in this formula:

Margin of error = ± (Upper range – Lower range) / 2

Margin of error = ± (4.9 kg – 4.3 kg) /2

Margin of error = ± 0.3 kg

PLZ HELP ME! NEED THE ANSWER AS SOON AS POSSIBLE! WILL REWARD THE BRAINLIEST: The table below shows the distance y, in miles, traveled by a truck in x hours: Time (x) (hours) 1 2 3 4 Distance (y) (miles) 50 100 150 200 Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the truck. [Choose the value of the correlation coefficient from 1, 0.8, 0.5, 0.02.] (4 points) Part B: What is the value of the slope of the graph of distance versus time between 3 and 4 hours, and what does the slope represent? (3 points) Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Answers

You are given a set of data regarding the truck with the distance y, in miles, traveled by a truck in x hours:
Time (x) (hours) 1 2 3 4
Distance (y) (miles) 50 100 150 200

I used excel to plot this data and get an equation and the value of r to anwer the following questions.

Part A: The most likely value of the correlation coefficient of the data in the graph is 1, meaning that the distance travelled by the truck and the time it takes to travel is directly related or directly proportional.

Part B: From the graph, i got an equation y = 50x with a slope of 50.

Part C: The table presented above is a correlation because both variables are directly related and forms a straight line rising to the right.

Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

Answers

find th midopint

the mindpoint of 2 points (x1,y1) and (x2,y2) is
((x1+x2)/2,(y1+y2)/2)

so midpoint is ((4+2)/2,(1-5)/2)=(6/2,-4/2)=(3,-2)

now find the slope of the line
it is perpendicular to the line with (4,1) and (2,-5)
find the slope of th eline passing through (4,1) and (2,-5)
slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
so the slope between (4,1) and (2,-5) is
(-5-1)/(2-4)=-6/-2=3

perpendicular lines have slopes tha tmuliplty to get -1
3 times what=-1
what=-1/3

so what is the equation of a line that passes through the point (3,-2) and has a slope of -1/3

the equation of a line that has a slope of m and passes through (x1,y1) is
y-y1=m(x-x1)
so
y-(-2)=-1/3(x-3)
y+2=-1/3(x-3)
if we want slope intercept form
y+2=-1/3x+1
y=-1/3x-1

if we want standard form
1/3x+y=-1
x+3y=-3

Answer:

The correct answer is x+3y=-3

Step-by-step explanation:

My fist step to solving this question would be to find the mid-point of the given line. The mid point of (4,1) and (2,-5) is (3,-2). The mid point is where the perpendicular bisector connects or bisects the given segment. My second step would be to graph the two given points and to connect them, forming a line. This way, I would know the slope of the line and then I would be able to find the slope of the perpendicular bisector, since the slope for perpendicular lines is the opposite reciprocal of the given line. In doing this, I discovered that the slope of the segment with the given endpoints is 3 which means that the slope of the perpendicular bisector will be x. So, so far we've got a point of intersection and a slope which is all we need to formulate the equation of the line that we are looking for.

In the end, our answer will be x+3y=-3.

Given: QR = 59; RT = 59 Prove: QR = RT StatementsReason 1. QR = 59; RT = 591. Given 2. 59 = RT2. Symmetric Property of Equality 3. QR = RT3. Which property listed below is the final reason in the proof.

Answers

Statement 3 is QR=RT. This can be validified by the reason of Transitive Property of Equality. This property is applied when the situation is if a=c and b=c, then a=b. The same is true for QR=59 and RT=59, then QR=RT.

Answer:

By using transitive property

QR=RT

Step-by-step explanation:

Given

QR=59

RT=59

To prove that QR=RT

1. Statement QR=59; RT=59

Reason : Given in the question.

2. Statement: 59=RT

Reason: By using symmetric property of equality .

Symmteric property is that property of equality

ab=bc

Then ,

bc=ac

3. Statement: QR=RT

Reason: By using transitive property of equality.

Transitive property : If ac=bc

and bc=ca

Then , ab=ca

Hence proved.

Find the standard form of the equation of the parabola with a focus at (-8, 0) and a directrix at x = 8

Answers

The best thing to do when finding conic equations from the focus and directrix is to sketch a little graph. When you do this, you can easily identify the vertex right in the middle and can determine if the parabola is vertical or horizontal since it must wrap around the focus. This way you know whether the x or the y is squared. When you sketch the focus and directrix, you will see the vertex is at (0,0) and the parabola is sideways, so the y is squared. now remember your formula is y^2=4px where p is the distance from the vertex to the focus, or you could write x=1/(4p)y^2. Now from 0 to -8 is -8 so that means 4p=-32. This gives you y^2=-32x or x=-1/32y^2. Thsi type of question will also be on your module exam and then the final exam so be sure to practice some:)

Answer:

x = -1/32 * y^2

Step-by-step explanation:

How to draw exactly two planes intersect the third plane does not intersect the other two?

Answers

Lay two of the planes exactly on top of each other (this makes them intersect an infinite number of times) and then lay one plane parallel above or below the other two.

The function $f$ satisfies \[f(x) + f(2x + y) + 5 x y = f(3x - y) + 2x^2 + 1\]for all real numbers $x$, $y$. determine the value of $f(10)$.

Answers

The value of f(10) is -47.

John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70. Which inequality will tell him at least how many more points he needs to pass the class

A. 72 + 78 + 70 + x < 289
B. 72 + 78 + 70 + x ≤ 289
C. 72 + 78 + 70 + x ≥ 289
D. 72 + 78 + 70 + x > 289

Answers

Since the sum of scores must be at least 289:

72+78+70+x ≥ 289

Answer:

C. [tex]72+78+70+x\geq 289[/tex]

Step-by-step explanation:

Let x represent the number of points John needs to pass the class.

We have been that John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70.

After scoring x points on John's total score would be [tex]72+78+70+x[/tex].

Since John needs at least 289 test points to pass his math class, so the total number of points should be greater than or equal to 289.

We can represent this information in an inequality as:

[tex]72+78+70+x\geq 289[/tex]

Therefore, the inequality [tex]72+78+70+x\geq 289[/tex] represents the number of more points John needs to pass the class.

given g(x)=Squareroot x-4 and h(x)=2x-8, what are the restriction on the domain of gofh?

x>?

Answers

[tex]g(f(x)) = \sqrt{(2x - 8) - 4}[/tex]
[tex] = \sqrt{2x - 12}[/tex]

Now, there's a restriction inside the square root
Thus, 2x - 12 ≥ 0
2x ≥ 12
x ≥ 6

The domain of the (goh)(x) will be [6, ∞).

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The functions are given below.

g(x) = √(x - 4) and h(x) = 2x - 8

Then the function f of g (x) will be

(goh)(x) = g(h(x))

(goh)(x) = √((2x - 8) - 4)

(goh)(x) = √(2x - 12)

Then the domain of the (goh)(x) will be

We know that the value under the square root should be greater than zero.

2x - 12 ≥ 0

2x ≥ 12

x ≥ 6

The domain of the (goh)(x) will be [6, ∞).

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

A certain forest covers an area of
4000
km2
. Suppose that each year this area decreases by
5.25%
. What will the area be after
14
years?

Answers

A = P(1-r)^t

A = 4000(1-0.0525)^14

A = 4000(0.9475)^14

A = 4000(0.9475)^14

A = 4000(0.470012124)

A = 1880.048

the answer is roughly 1880 square km

Answer:

Step-by-step explanation:

Thast 6% I don’t know why it’s tuping my answers different ?? I need help for this one

how much money will you have if you started with $1000 and put it in an account that earned 5% every year for 15 years

Answers

The interest equation is A = P(1 + r)^t. We can plug in the known information to get A = 1,000(1 + 0.05)^15. Next, we can add the 1 and the 0.05 to get A = 1,000(1.05)^15. Finally, we can take 1.05 to the power of 15 and multiply by 1,000 to get an answer of $2,078.93.

Hope this helps!

A certain kind of bacteria growing on your kitchen counter doubles every 30 mins.. Assuming that you start with only one bacterium, how many bacteria could be present at the end of 180 mins.

Answers

What you can do is start with the key details in it... the main ones are that the bacteria grows every 30 minutes, you start with 1 bacteria, and the end time is 180 minutes. Basically you know that 3 goes into 18 6 times so 30 goes into 180 6 times which means that if you started with 1 bacteria you will end up with 7. Understand?

[tex]\bf \textit{Periodic Exponential Growth}\\\\ A=I(1 + r)^{\frac{t}{p}}\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &1\\ r=rate\to 100\%\to \frac{100}{100}\to &1.00\\ t=\textit{elapsed time}\to &180\\ p=period\to &30 \end{cases} \\\\\\ A=1(1 + 1)^{\frac{180}{30}}[/tex]

What is the sign of the product (−4)(6)(9)(3)?

A) Positive, because the products (−4)(6) and (9)(3) are negative and the product of two negative numbers is positive
B) Positive, because the products (−4)(6) and (9)(3) are positive and the product of two positive numbers is positive
C) Negative, because the product (−4)(6) is negative and the product (9)(3) is positive, and the product of a negative number and a positive number is negative
D) Negative, because the product (−4)(6) is negative and the product (9)(3) is negative, and the product of two negative numbers is a negative number

Answers

The answer is C because (-4)(6)= -24
(9)(3)= 27
The answer is -648 so it can't be A or B.
It cannot be D because it says the product of two negative numbers is a negative number. Also, (9)(3) is positive 27, not negative. Therefore, C is the correct answer.

Hello,

The correct answer is C) Negative, because the product (-4)(6) is negative and the product (9)(3) is positive, and the product of a negative number and a positive number is negative.

Hope this helps!!!!

Write the following fractions as decimals 2/10,3/100

Answers

2/10 or 1/2 = .5 you would divide 2 by 2 and 10 divided by 2 (whatever you multiply or divide by on the top you must do on the bottom)
2/10=.50
3/100=.03 (divide 3 by 10=.03)

Answers:

A. .2

B. .03

C. .093

D. .1456

Have a blessed day ☺️

If you take a certain number and add a zero to the right of it and subtract the result from 143, you'll get the tripled imagined number. What is the imagined number?

Answers

the imagined number is 522

Final answer:

To find the imagined number, we need to follow the given steps: add a zero to the original number, subtract it from 143, and set the result equal to the tripled imagined number.

Explanation:

To find the imagined number in this question, we need to follow the given steps. Let's assume the original number is x. Adding a zero to the right of it gives us 10x. Subtracting this result from 143 gives us 143 - 10x. According to the question, this result is equal to the tripled imagined number, so we have 143 - 10x = 3x. To solve for x, we can rearrange the equation as 143 = 13x, and then divide both sides by 13. Therefore, the imagined number, x, is 11.

Based on its degree, what kind of polynomial is this? h(x)=-x^2+2x-5

Answers

It is a quadratic polynomial. The reason it is a quadratic is because it has a degree of 2.

it is quadratic because it is 2 degrees

The graphs of f(x) = 10x and its translation, g(x), are shown.

What is the equation of g(x)?
g(x) = 10x – 3
g(x) = 10x + 3
g(x) = 10x – 3
g(x) = 10x + 3

Answers

Answer:

The equation for the function g(x) is:

[tex]g(x)=(10)^{x-3}[/tex]

Step-by-step explanation:

We are given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

[tex]f(x)=(10)^x[/tex]

Now, we are asked to find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through (3,1),(4,10) , (5,100) and so on.

This means that the equation or the expression for the function g(x) is given by:

[tex]g(x)=(10)^{x-3}[/tex]

( Since, when x=3 we have:

[tex]g(x)=(10)^{3-3}=10^0=1[/tex]

when x=4 we have:

[tex]g(x)=(10)^{4-3}\\\\g(x)=(10)^{1}\\\\g(x)=10[/tex]

and so on)

Answer:

(x)=(10)^(x-3)

Step-by-step explanation:

Just did it on edge 2020 :) Hope i helped!!

One more than 16 times the population density of New Mexico equals the population density of Texas to the nearest whole number , what is New Mexico's populations density ?

Answers

1+16n=t

let n represent the population density of New Mexico

Final answer:

To solve for New Mexico's population density, we represent the given condition in a mathematical equation: '1 + 16x = y', where 'x' is the population density of New Mexico and 'y' is the Texas population density. We solve for 'x' by rearranging the equation to: 'x = (y - 1) / 16'. The specific population density of New Mexico can be calculated when the density of Texas is known.

Explanation:

The seemingly complicated question is basically one about algebra. It can be expressed as: '1 + 16x = y', where 'x' is the population density of New Mexico and 'y' is the population density of Texas. To find 'x' (New Mexico's population density) given the value for 'y', we need to rearrange the equation by subtracting 1 from both sides to get '16x = y - 1', and then divide both sides by 16 to solve for 'x': 'x = (y - 1) / 16'.

Without specific population density values for Texas ('y'), we cannot compute an actual numeric value for New Mexico's population density. However, we can use this equation to perform the necessary calculations once we know the population density (per square mile, for instance) of Texas.

This focuses on math skills including algebra and application of formulas, important aspects of high school math curriculum.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ12

Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?

Answers

When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to

210*0.05= 10.5 g salt

The rest of the amount, determined by difference, is the amount of solvent which is water.

water = 210-10.5 = 199.5 g salt

To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant.

Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%

Factor completely 16a^3b^7 + 2a^6 b4 − 22a ^4 b^5.

2(8a3b7 + a6b4 − 11a4b5)
2a3b4(8b3 + a3 − 11ab)
a3b4(16b3 + 2a3 − 22ab)
8b3 + a3 − 11ab

Answers

factor out 2a^3 from the epression
so it would become 2a^3b(8b^6 + a^3 * 4 - 11ab^4)
then you would use the communitive property to re order the terms
so your answer is 2a^3b * (8b^6 + 4a^3 - 11ab^4)

Answer:

2a3b4(8b3 + a3 − 11ab)

an air traffic controller spots two planes at the same altitude flying toward each other. Their flight paths form a right angle at point p. One plane is 150 miles from point P and is moving at 450 miles per hour. The other plane is 200 miles from point P and is moving at 450 miles per hour. What is the distance s between the planes as a function of time t?

Answers

The problem states that the paths of the two planes form a right triangle, therefore this means that the distance between the two is the hypotenuse. Given that information, we can use the hypotenuse formula for finding the distance formula:

c^2 = a^2 + b^2 ---> 1

Where c is the hypotenuse, in this case the distance between the two planes.

First let us find the value of a. We know that one plane is 150 miles from point P and this distance is decreasing by a rate of 450 miles per hour, therefore a is:

a = 150 – 450 t ---> 2

We also know that the other plane is 200 miles away and this distance decreases by a rate of 450 miles per hour also, therefore b is:

b = 200 – 450 t ---> 3

Substituting equations 2 and 3 to 1:

c^2 = (150 - 450 t)^2 + (200 – 450 t)^2

c^2 = 22500 – 135000t + 202500t^2 + 40000 – 180000t + + 202500t^2

c^2 = 405,000 t^2 – 315,000 t + 62,500 (ANSWER)

Let h = (v0^2)/4.9 sin(theta)cos(theta) model the horizontal distance in meters traveled by a projectile? If the initial velocity is 52 meters/second, which equation would you use to find the angle needed to travel 200 meters?
A) 275.92sin(2Theta)=200
B) 551.84sin(2Theta)=200
C) 200sin(2 Theta)=200
D)10.61sin(2THeta)=100

Answers

The horizontal distance traveled by the projectile is given as
[tex]d= \frac{V_{0}^{2}}{4.9} sin\theta cos\theta[/tex]
where
V₀ = initial velocity, m/s

Note that
sin(2θ) = 2sinθ cosθ

Therefore, the horizontal distance traveled is
[tex]d= \frac{V_{0}^{2}}{4.9} ( \frac{sin(2\theta)}{2} )= \frac{V_{0}^{2}}{9.8} sin(2\theta)[/tex]

Because V₀ = 52 m/s, in order to travel a horizontal distance of 200 m, the correct equation to determine θ is
(52²/9.8) sin(2θ) = 200
or
275.92 sin(2θ) = 200

Answer: A

Answer:

A) 275.92sin(2Theta)=200

a p e x

what is the resulting number when you add 4 tens and 3826

Answers

The answer will br 3866. Because 4 tens is equal to 40 ones, you would have to add 3826 and 40. The answer will be 3866.

Which number is the largest? 1.2 × 104, 4.5 × 10−3, 3.8 × 103, 7.5 × 103

1.2 × 104
4.5 × 10−3
3.8 × 103
7.5 × 103

Answers

1.2 x 10^4 = 12,000
4.5 x 10^-3 = 4.5 x 1/(10^3) = 4.5/1000 = 0.0045
3.8 x 10^3 = 3,000
7.5 x 10^3 = 7,000

largest is 1.2 x 10^4

Answer: 1.2 x 10^4

Step-by-step explanation:

pls hit thanks and rate!

Given triangle JKL.

Write the coordinates of vertex J and its reflection J' across the y-axis.

Answers

The coordinates of J are (-5, -2).

When reflected across the y-axis, the y-coordinate remains unchanged. The x-coordinate changes to 5.
Therefore the reflected coordinates of J are (5, -2).
The reflected image is shown in red color in the picture below.

Answer:
After reflection across the y-axis, J' has coordinates (5, -2).

Answer:

(5, -2) = J'(-5, -2) = J

Step-by-step explanation:

Please help me!! I really need it (:

Answers

it is a linear equation

if you take the negative of x and subtract 1 you get Y

so the answer is A

The cartesian coordinate system can be used to describe three dimensional space using three axes insyead of two. what are the labels

Answers

The most basic Cartesian plane is that which is only consists of two (2) axes. These axes are the x and y - axis. This divides the plane in four equal sections, called quadrants. The Cartesian plane that is divided in three axes has the axes which are to be labelled, x-, y-, and z-.

A hospital gives a survey to all surgical patients asking them to rate the quality of their hospital experience. One month after surgery, the hospital contacts the patients again to ask if there were any complications from the surgery. Last year, the results of the surveys showed that of the patients who had a poor hospital experience, 23% had post-surgical complications. What conclusion can be drawn from this study?

Answers

Solutions:

As given in the question , patients who had a poor hospital experience, 23% had post-surgical complications.

Option (C) appears the right choice from my point of view which is c) Most patients who have a poor hospital experience also have post-surgical complications.

The reason being , that the patients who suffer from these complications have experienced badly in the last hospital where they were diagnosed or cured.

Answer:

a) Some patients who have a poor hospital experience also have post-surgical complications.

Step-by-step explanation:

Given is :

Last year, the results of the surveys showed that of the patients who had a poor hospital experience, 23% had post-surgical complications.

The conclusion that can be drawn from this study is - Some patients who have a poor hospital experience also have post-surgical complications.

If we turn the percentage in figures, we can see that almost 2.3 person or 2 patients out of 10 patients have a poor hospital experience and also have post-surgical complications.

So, this is a low value that is why the correct answer is Some patients who have a poor hospital experience also have post-surgical complications.

Other Questions

Rescorla applies a cognitive perspective in explaining classical conditioning. he focuses on the extent to which the cs __________ the us. interferes with Determining which people will enter what occupation is a function of education referred to as ________. the perimeter of a trapezoid is 39a-7. Three sides have the following lengths: 9a, 5a-1, and 17a-6. What is the length of the fourth side In 2009, Florida suffered more __________ fatalities in traffic collisions than any other state except California.A. pedestrianB. bicyclistC. childD. None of the above What tool would be used to determine which network port attaches to a specific office jack? This chart shows the total average monthly cost of medical insurance benefits for employees working in the private sector in march 2006. for single coverage, the cost is $322.77, and for family coverage, it is $889.26. if an employee makes $10 per hour (after withholdings) and has to pay the full cost of single coverage medical insurance, about how many hours will he or she have to work each month simply to pay for the cost of the medical insurance Which element(s) is being reduced in the redox reaction below? 6 nh4clo4 (s) + 10 al(s) 5 al2o3 (g) + 6 hcl (g) + 3 n2 (g) + 9 h2o (g) n and al h cl o? What is the name of the point in the sky directly overhead? In the 1800s, France constructed a large gift to the United States to celebrate 100 years of U.S. independence. This landmark serves as a symbol of freedom to people around the world. Which of the following is the correct name and location of this landmark? Statue of Liberty in San FranciscoGolden Gate Bridge in San FranciscoStatue of Liberty in New York HarborGolden Gate Bridge in New York Harbor Which of the following occurs during photosynthesis? A.CO2 is used to produce water B.CO2 is absorbed by mitochondria C.CO2 and H2O are converted to carbohydrates D.CO2 and H20 are combined into carbonic acid Which of these rocks are formed by erosion and deposition? Select the two correct answers.A.Basalt B.Granite C.Limestone D.Sandstone E.Marble Cory knows how to use spreadsheet software to create reports that his managers find useful. this ability indicates cory's In order to induce electrical energy into a conductor or generator, what three factors must be present? What is the rounding or compatible numberof 256+321 a cutting board is scratched and chipped. what should the food handler do Justin is evaluating the expression 12.5 + 3.8x, when x is 7.9 What kind of precipitation pattern helps govern the climate of the swahili coast? In eighteenth-century england, what were the first mechanized cotton-spinning machines powered by? The first home video game product built on a microprocessor was a home version of the popular coin-operated pong game from ________________'s atari. What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2? Steam Workshop Downloader