explain the Alternate Exterior Angles Theorem

Answer:

It will take him 13 Months to save up $12 a month to buy the shoes.

Hope this helps

Step-by-step explanation:

The probability of finding oil (to 1 decimal) is 0.7.

Probability is a statistic that is used to show the possibility or chance that a certain event will occur. Probabilities can be expressed as fractions from 0 to 1, in contrast to percentages from 0% to 100%. The four main types of probability that mathematicians study are axiomatic, classic, empirical, and subjective. Given that the terms potential and probability are interchangeable, you could define probability as the probability that a particular event will take place.

To determine probability the  Preliminary geologic  , we obtain,

P(oil)=0.3+0.4

P(oil)=0.7.

To know more about probabilities visit:

https://brainly.com/question/30034780

#SPJ1

Answer: (x,y)=(1,-10)

Step-by-step explanation:

y=-7x-3

5x+4y=-35

substitute the value of y

5x+4(-7x-3)=-35

solve the equation

x=1

substitute the value of x

y=-7 x 1-3

solve the equation

y=-10

A possible solution is

(x,y)=(1,-10)

Check the solution

-10=-7 x 1-3

5 x 1+4 x (-10)=-35

simplify

-10=-10

-35=-35

The ordered pair is a solution

(x,y)=(1,-10)

Answer:

127.5

Step-by-step explanation:

you arrange the numbers from least to greatest then divide by 2 If the amount of numbers you have are iuneven add 1 to it for example the first 9 prime numbers. 9 isn't and even number so you add 1 then divide by

Out of the given fractions, 9/20, 14/35, and 1/16 are terminating decimals, while 1/35 is a non-terminating decimal.A terminating decimal is a decimal number that ends or terminates after a finite number of digits.

In other words, the decimal representation of the fraction does not go on forever.

To determine if a fraction is a terminating decimal, we need to convert it into a decimal by dividing the numerator by the denominator. If the result is a finite decimal, then the fraction is a terminating decimal; otherwise, it is a non-terminating decimal.

Now, let's apply this method to the fractions given in the question:

9/20: To convert 9/20 into a decimal, we divide 9 by 20, which gives 0.45. Since the decimal terminates after two digits, 9/20 is a terminating decimal.

1/35: To convert 1/35 into a decimal, we divide 1 by 35, which gives 0.02857142857... The decimal goes on forever, so 1/35 is a non-terminating decimal.

14/35: To convert 14/35 into a decimal, we divide 14 by 35, which gives 0.4. Since the decimal terminates after one digit, 14/35 is a terminating decimal.

1/16: To convert 1/16 into a decimal, we divide 1 by 16, which gives 0.0625. Since the decimal terminates after four digits, 1/16 is a terminating decimal.

In summary, out of the given fractions, 9/20, 14/35, and 1/16 are terminating decimals, while 1/35 is a non-terminating decimal.

Find out more about terminating decimal

brainly.com/question/29765582

#SPJ4

There are approximately 29.53 inches in 75 centimeters.

Conversion factor for centimeters to inches is

1 inch = 2.54 centimeters.

To convert 75 cm to inches, you can divide 75 by 2.54:

75 cm ÷ 2.54 = 29.52756 inches

Rounding this to the nearest hundredth gives approximately 29.53 inches. Therefore, there are approximately 29.53 inches in 75 cm.

A conversion factor is a mathematical expression that expresses the relationship between two units of measurement. It is used to convert measurements between units.

Conversion factors are commonly used to convert measurements between different units of measurement in math, science, and engineering. They are a useful tool for performing calculations and comparing data in various units.

For more question on Conversion factor click on

https://brainly.com/question/97386

#SPJ4

Answer:

blank=9

Step-by-step explanation:

The function that satisfies the differential equation y′ = -2 with initial condition y(0) = -8 is y = -2x - 8.

To solve the differential equation y′ = -2 with initial condition y(0) = -8, we need to find the function y(x) that satisfies both the differential equation and the initial condition.

We can start by integrating both sides of the differential equation with respect to x:

∫y′ dx = ∫(-2) dx

y = -2x + C

where C is a constant of integration.

To find the value of C, we can use the initial condition y(0) = -8:

y(0) = -2(0) + C = C = -8

So the solution to the differential equation with initial condition is:

y = -2x - 8

Therefore, the function that satisfies the differential equation y′ = -2 with initial condition y(0) = -8 is y = -2x - 8.

For such more question on equation:

https://brainly.com/question/29283461

#SPJ4

Answer: -19

Step-by-step explanation: 5 x 3 = 15

9 x 4 = 36

15 - 36 = -21

-21 + 2 = -19

Step-by-step explanation:

10x - 2x = 8x

18x - (7 + 4x) = 18x - 7 - 4x = 14x - 7

= 7(2x - 1)

please pick whatever you think your teacher prefers.

Answer:

35 degrees

Step-by-step explanation:

The direction "North" is parallel to itself, because of the reflexive property of parallel lines. Using the alternate interior angles theorem, the measure of x + 25 must be equal to 60 degrees. 60 - 25 = 35

Answer:

x = 35°

Step-by-step explanation:

The angle made by the directional line from wharf to Shell Cove relative to North is 60° at the point of departure from the wharf

The angle that this same line makes at the point of arrival at Shell Cove must be 60° relative to North since the two North directions are perpendicular and the line connecting the wharf and shell cove is a transversal intersecting these lines

This is because of the property that when two parallel lines are intersected by a transversal, the alternate interior angles must be the same

The angle made by this transversal at Shell Cove = x + 25 degrees

Since (x + 25)° = 60°

x = 60° - 25°

x = 35°

The cost for children meal is $14 and the cost for adult meal is $40.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Let cost of adult meal = a

Let cost of child meal = c

Lorenzo plans to have 98 adults and 77 children attend, so the total projected cost of her meals is $4998.This will be:

98a + 77c = 4998 ...... (1)

Ruth has 71 adults and 91 children on her guest list, so he will pay the caterer $4114. This will be;

71a + 91c = 4114 ......    (2)

Multiply (1) by 71 and (2) by 98

6958a + 5467c = 354858      (3)

6958a + 8918c = 403172         (4)

subtract (3) from (4)

3451 c = 48314

c = 14

The cost of children meal is $14.

From equation (1),

98a + 77c = 4998

98a + 77(14) = 4998

98a + 1078 = 4998

Collect like terms

98a = 4998 - 1078

98a = 3920

a = 40

Adult meals is $40.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

The major axis of the given ellipse is on the y-axis.

Step-by-step explanation:

The general equation of an ellipse is:

[tex]\boxed{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1}[/tex]

where (h, k) is the center.

The major axis is the longest diameter of an ellipse, and the minor axis is the shortest diameter of an ellipse.

If a > b the ellipse is horizontal, a is the major radius (parallel to the x-axis), and b is the minor radius (parallel to the y-axis).

If b > a the ellipse is vertical, b is the major radius (parallel to the y-axis), and a is the minor radius (parallel to the x-axis).

The given equation is:

[tex]\dfrac{x^2}{49}+\dfrac{y^2}{81}=1[/tex]

Therefore:

As b > a, the ellipse is vertical.

The major axis is 18 units in length and is parallel to the y-axis.

The minor axis is 14 units in length and is parallel to the x-axis.

Both axes pass through the center of the ellipse.

As the center of the ellipse is the origin, the major axis is on the y-axis and the minor axis is on the x-axis.

Answer:

4x=>-74

Step-by-step explanation:

x+23=>18

4(x+23)=>18

4x+92=>18

collect like terms

4x=>18-92

4x=>-74

Answer is 4 (x + 23 ) ≥ 18

Step by step

4 times the sum of a number and 23

4(x + 23)

Is at least 18

≥ 18

Your inequality

4 (x + 23 ) ≥ 18

to solve, distribute

4x + 92 ≥ 18

subtract 92 from both sides

4x + 92 - 92 ≥ 18 - 92

simplify

4x ≥ -74

divide both sides by 4 to solve for x

4/4 x ≥ -74/4

x ≥ 18.5

18.5 is equal to or greater than 18 so problem solved

** We used ≥ in this inequality which means at least (equal to) this number or greater

The slope of the line tangent to the parabola's y-intercepty = [tex](x+2)^2-4[/tex] is 4.

We must first get the parabola's y-intercept in order to determine the slope of the line tangent to it.

We enter x=0 into the equation to obtain the y-intercept:

[tex]y = (x + 2)^2 - 4[/tex]

[tex]y = (0 + 2)^2 - 4[/tex]

y = 4 - 4

y = 0

Hence, the parabola's y-intercept is (0, 0).

The derivative of the parabola's equation must then be determined.

[tex]y = (x + 2)^2 - 4\\y = x^2 + 4x + 4 - 4\\y = x^2 + 4x[/tex]

dy/dx = 2x + 4

By adding x=0 to the derivative, we can now get the slope of the tangent line to the y-intercept:

dy/dx = 2x + 4

dy/dx = 2(0) + 4

dy/dx = 4

Hence, the slope of the line tangent to the parabola's y-intercepty = [tex](x+2)^2-4[/tex] is 4.

For similar question on slope,

https://brainly.com/question/24907633

#SPJ4

Answer:

to show how much rainfall there is between months in different regions

If the points lie on a straight line passing through the origin, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.

What is proportion ?

Proportion refers to the relationship or comparison between two or more quantities or values. It is typically expressed as a ratio or fraction that compares the part to the whole or the amount of one thing to the amount of another thing.

The two correct methods that Enid can use to test her claim are:

She could calculate the ratio change in calories burned to change in miles jogged for two data points and compare the results to the same ratio with two other data points.

This method involves calculating the ratio of the change in calories burned to the change in distance jogged for two pairs of data points, and then comparing the results to see if they are the same. If they are the same, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.

She could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points.

This method involves graphing the data points on a coordinate plane and checking if they form a straight line that passes through the origin (0, 0).

Therefore, If the points lie on a straight line passing through the origin, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.

To learn more about Proportion from given link.

https://brainly.com/question/29774220

#SPJ1

The Big data characteristic which this mainly involve include the following: B. variety.

In Computer technology, Big data can be defined as large (huge) collections of data that are typically difficult for users to process, analyze, and manage through the use of conventional data tools or traditional database methods and tools.

In Computer technology, big data comprises five Vs and these include the following:

In conclusion, we can infer and logically deduce that variety is the characteristics of that this scenario describe because the team gathers the fans' personalized video clips, tweets, texts, and other posts to the team website.

Read more on Big data here: brainly.com/question/14273643

#SPJ1

Complete Question:

The Mayberry mustangs, a minor league baseball team, recently upgraded their ability to collect data from their fans in order to draw people to their website. the team gathers the fans' tweets, texts, personalized video clips, and other posts to the team website. then they include them in a humorous mashup before each game. Which big data characteristic does this mainly involve? multiple choice question?

Volume

Variety

Veracity

Value

The rate of growth of the minimum wage in New York State from 1966 to 2015 is approximately 6.41%.

To determine the rate of growth of the minimum wage in New York State from 1966 to 2015, we can use the following formula:

rate of growth = ((final value / initial value)^(1/number of years) - 1) * 100%

where the initial value is the minimum wage in 1966, the final value is the minimum wage in 2015, and the number of years is the difference between the two years.

Plugging in the values, we get:

rate of growth = [tex](($8.75 / $1.25)^{1/(2015-1966)) - 1} * 100%[/tex]

= [tex]((7)^{1/49) - 1} * 100%[/tex]

=[tex](1.0641 - 1) * 100%[/tex]

= 6.41%

Therefore, the rate of growth of the minimum wage in New York State from 1966 to 2015 is approximately 6.41%.

Learn more about rate of growth here https://brainly.com/question/28026065

#SPJ4

The possible outcomes for flipping a two-sided tile once are:

Toss 1 Toss 2 Toss 3

Black Black Black

Black Black White

Black White White

Black White Black

White White White

White White Black

White Black Black

White Black White

If we flip the tile three times, the sample space will consist of all possible outcomes of the three flips.

Each flip is independent, so the total number of possible outcomes is the product of the number of outcomes for each flip, which is 2.

Therefore, the sample space for flipping the tile three times is:

BBB,

BBW,

BWB,

BWW,

WBB,

WBW,

WWB,

WWW

Where

B = the black side facing up, and

W = the white side facing up.

Learn more about Possible outcome at:

https://brainly.com/question/30241901

#SPJ1

The blueberry muffins made by baker on monday is 40% of the total muffins made by the baker .

A quantity or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. In order to determine the percentage of a number, divide it by its sum and then multiply the result by 100. The proportion thus refers to a component per 100. The word percent indicates a percentage of 100. The word "percent" denotes "per 100." The letter "%" stands for it.

Now in the given question,

Total number of muffins baker made = 90

Blueberry Muffins made by baker on monday = 36

Prcentage of blueberry muffins out of total muffins  [tex]=\frac{36*100}{90} = 40 %[/tex]

So , the Blueberry Muffins were 40% of the total muffins baker made.

Learn more about percentage , visit:

https://brainly.com/question/13450942

#SPJ1

To convert tablespoons to cups divide the number of tablespoons by 16.

Converting tablespoons to cups involves a simple mathematical calculation. There are 16 tablespoons in a cup, so to convert tablespoons to cups, you need to divide the number of tablespoons by 16.

Here's the formula:

Cups = Tablespoons ÷ 16

Alternatively, you can use a conversion chart to convert tablespoons to cups. Here's a quick reference chart that shows common conversions:

1 tablespoon = 1/16 cup

2 tablespoons = 1/8 cup

4 tablespoons = 1/4 cup

8 tablespoons = 1/2 cup

16 tablespoons = 1 cup

Therefore, the steps to convert the tablespoons to cups has been explained

Learn more about conversion here

brainly.com/question/28930523

#SPJ4

Answer:Well lets look at the arithmetic of this. Logically we know that all 42 animals have at least 2 feet each so 42 x 2 =84 that means the remaining feet cannot belong to the chickens and therefore 114–84= 30 remaining feet belong to the cows, therefore you divide 30/2 = 15 cows who have 4 legs each, 60 legs in total. 42–15 = 27 chickens who have 2 legs each, 54 legs in total. This adds up to the total of legs of 114, 60 + 54. Therefore out of a total of 42 animals, 15 are cows and 27 are chickens.

Step-by-step explanation:

The value of x is given as follows:

x = 9.

Similar triangles are triangles that share these two features presented as follows:

Similar triangles have congruent angle measures, and the angles of 3x + 15º and 42º are congruent, hence the value of x is obtained as follows:

3x + 15 = 42

3x = 27

x = 9.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Answer:

the angle measures 59.9°, and its supplementary angle measures 180° - 59.9° = 120.1°.

Step-by-step explanation:

Let x be the measure of the angle we are trying to find.

By definition of supplementary angles, we know that the angle's supplementary angle measures 180° - x.

We are also given that the angle measures 120.2° less than its supplementary angle. This can be written as:

x = (180° - x) - 120.2°

Simplifying the equation, we get:

x = 59.9°

Therefore, the angle measures 59.9°, and its supplementary angle measures 180° - 59.9° = 120.1°.

You'd would like to convert a set of raw scores into such a set of z-scores so you can compare scores from different distributions, as well as to create a distribution besides a mean of 0 and a standard deviation of 1.

What is the purpose of converting raw scores to z-scores?

We could indeed convert scores obtained to z-scores to determine where those scores fall inside the distribution. Assume we receive a 68 on an exam.

Why is it critical to convert raw marks to z-scores in multiple regression?

Standardizing raw data by converting it to z-scores has the clear benefits: Recognize in which a piece of evidence falls within a distribution. Contrast evaluation from different variables.

To know more about variables click here

brainly.com/question/2466865

#SPJ4

The equation for the calculation of the score will be 6-x , where x is the number of birdies (negetive score).

Lets suppose the number of birdies that have been scored is "x" . And since birdie is a negetive score, everytime we score a birdie, we need to reduce 1 from the standing score i.e. to say the total number of birdies is needed to be subustracted from the current score.

Score = Initial Score - Number of birdies

Since the initial score here, as per mentioned is 6 over par , so we need to substract the number of birdies from 6 in order to get actual score.

Therefore, in accordance with the current situation, the equation to calculate the score will be 6-x.

Learn more about linear equation :

https://brainly.com/question/29739212

#SPJ4

She practiced with a rate/speed of 17 min/day.

What is the definition of speed?

The following is the definition of speed:

The rate at which the position of an item changes in any direction.

The ratio of distance travelled to time spent travelling is described as speed. Speed is a scalar number since it has just one direction and no magnitude.

Formula for Speed

The speed formula is as follows:

s=d/t

Where,

s denotes the speed in metres per second, d the distance travelled in metres, and t the time in seconds.

Now,

Given Total time she practiced=595 minutes

Total time she practiced=5 weeks=5*7

=35 days

then rate at which she practiced per day=595/35

=17 min/day

hence,

           Brianna practiced with a rate of 17 min/day.

To know more about speed visit the link

https://brainly.com/question/7359669?referrer=searchResults

#SPJ1

Answer:

Therefore, adding 10 to the numerator is the better option if we want to increase the value of 46/224.

Step-by-step explanation:

To find which option will give a larger final number, we should calculate both the possibilities and compare them ,

Firstly,add 10 to the numerator

Now,

The new rational number will be,

(46 + 10) / 224

= 56 / 224

= 7 / 28

2ndly,

Add 10 to the denominator

The new rational number will be,

46 / (224 + 10)

= 46 / 234

After comparing these two rational numbers and converting them to decimals or simplify them ,

7 / 28

= 0.25

46 / 234

= 0.196581...

Since 0.25 is larger than 0.196581...,

Now,adding 10 to the numerator will result in a larger final number.

Therefore, adding 10 to the numerator is the better option if we want to increase the value of 46/224.

The equivalent value of 5 ft 7 in cm is 170.18 centimeters

In today's world, measurements play a crucial role in almost everything we do. Whether it's measuring ingredients for a recipe or calculating distances for a road trip, we rely on accurate measurements to ensure success. And as we live in a globalized world, it's important to be able to convert measurements from one unit to another. In this article, we will discuss how to convert the height of 5 feet 7 inches into centimeters.

To convert 5 feet 7 inches into centimeters, we need to first understand the conversion factor between feet and centimeters. 1 foot is equal to 30.48 centimeters. Therefore, to convert 5 feet into centimeters, we can multiply 5 by 30.48, which gives us 152.4 centimeters.

Now, we need to convert the 7 inches into centimeters. 1 inch is equal to 2.54 centimeters.

To convert 7 inches into centimeters, we can multiply 7 by 2.54, which gives us 17.78 centimeters.

Finally, to get the total height in centimeters, we can add the two values we obtained in the previous steps. Therefore, the height of 5 feet 7 inches is equal to

=> (152.4 + 17.78) = 170.18 centimeters

To know more about measurement here.

https://brainly.com/question/4725561

#SPJ4