What is the reason for step 5?

What Is The Reason For Step 5?

Answers

Answer 1

Answer: Alternate Interior Angles Theorem (choice B)

If you have two parallel lines, and cut them with a third line, then you'll form two pairs of alternate interior angles. Alternate interior angles are angles that that are on the inside of the parallel "train tracks", but they are on opposite sides of the transversal line.


Related Questions

Brian needs 10 quarts of Dr. Pepper. He can buy containers with 6 ounces of Dr. Pepper in them. How many containers does he need to buy to have 10 quarts.

Answers

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1 quart = 32 ounces

10 x 32 = 320 ounces needed

320 ÷ 6 = 53.33  

Since he can't buy half of a container he would need to purchase 54 containers.

Final answer:

To fulfill a need for 10 quarts of Dr. Pepper using 6-ounce containers, Brian must buy 54 containers, after converting quarts to ounces and dividing by the container size.

Explanation:

Brian needs 10 quarts of Dr. Pepper. He is considering buying containers that hold 6 ounces each. To determine how many containers he needs, we must convert quarts to ounces because the volume of the drink given in two different units. There are 32 ounces in 1 quart.

Therefore, 10 quarts is equivalent to 320 ounces (10 quarts x 32 ounces/quart). Since each container holds 6 ounces, Brian needs 320 ÷ 6 containers. Dividing 320 by 6 gives approximately 53.33. Since Brian cannot buy a fraction of a container, he will need to purchase 54 containers of Dr. Pepper to meet his requirement of 10 quarts.

What is the initial y-value of the linear function whose graph includes the points (-5, 0) and (6, -22)?

Answers

initial of those two points? its always the leftmost one, or whichever has the lowest x value
Final answer:

The initial y-value (or y-intercept) of the linear function that includes the points (-5, 0) and (6, -22) is -10.

Explanation:

The student is asking about the initial y-value of a linear function, which is also known as the y-intercept. This is the value of y when the line crosses the y-axis (where x=0). To find this, we first find the slope of the line using the formula: slope = (y2 - y1) / (x2 - x1) = (-22 - 0) / (6 - (-5)) = -22 / 11 = -2. Then we use the point-slope form of a linear equation to find the y-intercept 'b': y - y1 = m*(x - x1), substituting one of the points and the found slope: 0 - (-2)*(-5) = b gives us b = -10. This implies that the initial y-value of the linear function is -10.

Learn more about Initial y-value here:

https://brainly.com/question/33247383

#SPJ11

a number x is greater then 25.8 write the word sentence as an inequality

Answers

Answer:

x> 25.8

Step-by-step explanation:

A number x is greater then 25.8 write the word sentence as an inequality

x> 25.8

To represent the statement 'a number x is greater than 25.8' as an inequality, we write it as 'x > 25.8'.

The number = x

The number greater than = 25.8

If a number x is greater than 25.8, we can represent this relationship using an inequality symbol.

Based on the meaning of inequality symbols, the correct way to write this statement is:

x > 25.8

This inequality reads as "x is greater than 25.8", thus directly answers the given question by converting the word sentence into a mathematical inequality.

a rectangular box has a height of 7 centimeters and a volume of 336 cubic centimeters. The length of the box is three times the width.

Write an equation describing this situation and find the length and width of the box.

Answers

Volume = LxWXH

Volume= 336
Height=7
Width= w
Length=3w

336= 7•w•3w
336=21w^2
16=w^2
W= 4

Width=4 cm
Length=3(4)= 12 cm


The length and width of a box is required.

The equation describing the situation is [tex]V=3W^2H[/tex]

Length of the box is 12 cm and width of the box is 4 cm.

h = The height of the box = 7 cm

V = Volume of the box = [tex]336\ \text{cm}^3[/tex]

Length of the box is three times the width.

[tex]L=3W[/tex]

Volume of a cuboidal box is given by

[tex]V=LWH\\\Rightarrow V=(3W)WH\\\Rightarrow V=3W^2H[/tex]

The equation describing the situation is [tex]V=3W^2H[/tex]

Solving the equation

[tex]W=\sqrt{\dfrac{V}{3H}}\\\Rightarrow W=\sqrt{\dfrac{336}{3\times 7}}\\\Rightarrow W=\sqrt{16}=4[/tex]

[tex]L=3W=3\times 4\\\Rightarrow L=12[/tex]

Length of the box is 12 cm and width of the box is 4 cm.

Learn more:

https://brainly.com/question/23952628

https://brainly.com/question/13771570

Two sides of a triangle measure 9 cm and 23 cm. Which could be the measure of the third side of the triangle?

Answers

Hello,


Let's be x the length of the 3 side (9,x,23) ==>x>0


Using inequality triangular:


9<x+23==>x>9-23==>x>-14 (done)

x<9+23==>x<32

23<x+9==>x>14


SO 14<x<32



Answer:

[tex]14<x<32[/tex]

Step-by-step explanation:

Let x be the third side of triangle.

We have been given that two sides of a triangle measure 9 cm and 23 cm. We are asked to find the measure of third side of triangle.

We will use triangle inequality theorem to solve our given problem.

Triangle inequality theorem states that sum of two sides of a triangle must be greater than third side of triangle.

Using triangle inequality theorem, we will get:

(1) [tex]x+9>23[/tex]

[tex]x+9-9>23-9[/tex]

[tex]x>14[/tex]

(2) [tex]9+23>x[/tex]

[tex]32>x[/tex]

(3) [tex]x+23>9[/tex]

[tex]x+23-23>9-23[/tex]

[tex]x>-14[/tex] (Not applicable as length cannot be negative).

Therefore, the measure of third side of triangle would be [tex]14<x<32[/tex].

The perimeter of a rectangular deck is 4 times its width. If the deck's perimeter is 30 feet, what is the deck's area?

Answers

Answer:

i think it is 120

Step-by-step explanation:

4 multiplied by 30 is 120

3/8 divided by 5 can you plz help me

Answers

When you divide a fraction you always multiply the reciprocal of number you divide. So then what you are doing is 3/8*5 which is 15/8.

Hope this helps! <3

Answer:3/4


Step-by-step explanation:

3/8 ÷ 5


Can someone please help me with these

Answers

i think it will be B and then the second will be C

Answer:


Step-by-step explanation:

4)

30 is 60% of 50


5)

Amount Saved (Discount): $

350


Sale / Discounted Price: $

650


help me understand this please

Answers

Basically, geometry screws with your mind. It's tough, but you have to imagine these triangles set up next to each other, or use your finger to trace to the different points, that way you can situate yourself.

So, there are three triangles, ΔCAD, ΔBCD, and ΔBAC. and they're all similar. this would be the answer to your first question. (If you need help finding them, use the methods I mentioned earlier :))

Now, to figure out the proportions, look at which sides are the same (not literally, but size wise. Like, the hypotenuse is always the 2nd longest, the bottom is the longest, and the side is the shortest.

CD and BD go together because #1 the letters go from the top tip of the Δ to the bottom where they meet the bottom side. Now, as for AD, that's the hypotenuse. So, you find another hypotenuse from the other two triangles. (The other two are AC and CB).

the last one heey put that CA and BA are proportionate. CA and BA happen to both be bottoms of Δ's. then they put AC. AC is both a hypotenuse and a bottom, so you have a variety of sides you could go with. (hypotenuses:AD, CD, bottoms:AB, and CB)

I hope this helps!

4x-y=6 and 3x+2y=21 Solve by elimination

Answers

Answer:

x=3,y=6

Step-by-step explanation:

4x-y =6

3x+2y = 21

To use elimination we will multiply the first equation by 2

2(4x-y) =6*2

8x -2y =12

We will add this equation to the second equation to eliminate y

8x -2y =12

3x+2y = 21

-----------------

11x = 33

Divide each side by 11

11x/11 = 33/11

x =3

We still need to solve for y

3x+2y = 21

Substituting x=3

3*3+2y = 21

9+2y =21

Subtract 9 from each side

9-9+2y = 21-9

2y = 12

2y/2 = 12/2

y =6


The area of a rectangular pool deck is 168 ft². The length is 14 ft. What is the width of the pool deck?

Answers

Answer:

12 ft

Step-by-step explanation:

First of all, the formula of calculating the area of a rectangle is: w* l  = a So, in this equation ? * 14 = 168You then "do the equation backwards": 168/14 = ?You calculate and get 12

Which inequality represents this sentence?

Five plus four is less than ten plus two.


5+4 < 10+2

10+2 < 5+4

5+4 ≤ 10+2

5+4 > 10+2

Answers

Below is the answer:-
[tex]5 + 4 < 10 + 2[/tex]

Answer:

5+4<10+2

Step-by-step explanation:

Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?

Answers

Answer:

it would be 800 because 2.8% of 800 is 22.40 and that is your answer.

hope i helped :)

Answer:

$800.

Step-by-step explanation:

We have been given that Gene's deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. We are asked to find the amount of original deposit.

To find the original amount of deposit, we use simple interest formula:

[tex]I=Prt[/tex], where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert our given interest rate in decimal form.

[tex]2.8\%=\frac{2.8}{100}=0.028[/tex]

Upon substituting our given values in above formula, we will get:

[tex]\$22.40=P*0.028*1[/tex]

[tex]\$22.40=P*0.028[/tex]

[tex]\frac{\$22.40}{0.028}=\frac{P*0.028}{0.028}[/tex]

[tex]\$800=P[/tex]

Therefore, the amount of original deposit was $800.

Please somebody help me

Answers

Answer:

Corresponding: 1 and 5, 2 and 6, 3 and 7, 4 and 8

Alternate Exterior Angles: 1 and 8, 2 and 7

Alternate Interior Angles: 3 and 6, 4 and 5

Step-by-step explanation:

Searching up the definitions could really help you understand what kinds of angles there are.

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

Alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.

The corresponding angles are the ones at the same location at each intersection.

the actual value of the population that the parameter tries to estimate is called the statistic

true or false

this is for data analysis

Answers

The statement is false; a parameter is the actual value in the population, while a statistic is the estimate derived from a sample. It's crucial to differentiate between the two when discussing data analysis and inferential statistics.

The statement in question is false. The actual value of the population that the parameter tries to estimate is not called the statistic; it is indeed called a parameter. Parameters are the true values within a population. On the other hand, a statistic is an estimate of a population parameter and is derived from a sample that is intended to be representative of the population.

For instance, consider the population parameter of average corn yield in an area. This parameter is estimated with a sample average, which is the statistic. The sample average serves as a best estimate but is distinct from the true average yield for all farms in the target area, exhibiting variability from sample to sample.

The work of data analysis and inferential statistics involves using sample statistics to make inferences about population parameters. Understanding the difference between the two is crucial, and it involves acknowledging the concept of sampling error that arises due to discrepancies between the parameter and the statistic used to estimate it.

Jessica has driven exactly 90% of the distance to her friends home. Which statement about this trip could be true?
A. Jessica has driven exactly 40 miles out of a total of 360 miles.
B. Jessica has driven exactly 270 miles out of a total of 360 miles
C. Jessica has driven exactly 360 miles out of a total of 400 miles
D. Jessica has driven exactly 396 miles out a total 490 miles

Answers

Answer:

The answer is C) Jessica has driven exactly 360 miles out of a total of 400 miles

Step-by-step explanation:

Since 90% is equal to 0.9 of 1

And you need to figure out what statement is true

You would take the largest number from each answer choice and multiply it by 0.9

For Example: In answer choice A), it says Jessica has driven exactly 40 miles out of a total of 360 miles.

So you would multiply 360 by 0.9

Which gives you 324

Which is not 40

Therefore it is wrong

Answer:

c

Step-by-step explanation:

How do you graph y=2x-1

Answers

Answer:

y is the vertical axis. x is the horizontal axis. Replace any value in x to get your y value. The value you input as x is your x value. God this sounds confusing. I'd graph it for you but i don't know how to do that on Brainly.

Step-by-step explanation:


Step-by-step explanation:

For each value of x you will have a y value

Step 1: Make a Chart with values

X |       1             2       3    

Y |

Step 2: Substitute the x values in the y function

y= 2(1) - 1

y=2-1

y=1

Step 3: Fill the Chart with the obtained values

X |       1             2       3    

Y |      1

Step 4: Plot the points as coordinates (x, y) i.e (1,1)

Step 5: Connect the points

Step 6: Be happy, you just learn how to plot. You can follow this proccedure for any kind of function.

The area of this triangle is
56
c
m
2
and the height is 7 cm. Find the base.

Choose the correct answer from the selection below.

Answers

Answer:

Base = 16 cm


Step-by-step explanation:

Area of triangle is given by:

Area of Triangle = [tex]\frac{1}{2}bh[/tex]

Where [tex]b[/tex] is the base and [tex]h[/tex] is the height.


The problem says that area is 56 ([tex]A=56[/tex]) and height is 7 ([tex]h=7[/tex])

Plugging in the values we can solve for base:

[tex]A=\frac{1}{2}bh\\56=\frac{1}{2}b(7)\\56=\frac{7}{2}b\\b=\frac{56}{\frac{7}{2}}=56*\frac{2}{7}=16[/tex]

Hence, the base of the triangle is 16 cm

In a school election, Violet received 156 votes. She got 60% of all the votes. How many total votes were cast? Which equation CANNOT be used to answer this question?

a. 0.6 times 156 = x
b. 156 = 0.6x
c. 156/0.6 = x
d. 156/x = 60/100

Answers

Answer:

1) Total votes = 260

2) option (a) CANNOT be used to answer this question

================================================

Step-by-step explanation:

Part (A)

let all the votes = x

Violet received 156 votes which equal to 60% of all the votes

∴ 156 = 60% of x

60% = 60/100 = 0.6

∴156 = 0.6 x ⇒ x = 156/0.6 = 260 votes

Part (B) :

options (b), (c) and (d) can be used to answer this question because they will give the same result of part (A)

While option (a) CANNOT be used to answer this question.

Check the following

a. 0.6 times 156 = x   ⇒  x = 93.6

b. 156 = 0.6x              ⇒ x = 260

c. 156/0.6 = x             ⇒ x = 260

d. 156/x = 60/100      ⇒ x = 260

which of the following are equal to the rational expression below? x^2+x-6/x^2-2x-15

Answers

Hello from MrBillDoesMath!

Answer:

(x-2)/(x-5)


Discussion:

Factor the numerator and denominator:

x^2 + x - 6 = (x+3)(x-2)

x^2-2x-15 =  (x+3)(x-5)

So  

( x^2 + x - 6) / x^2-2x-15  =   ( (x+3)(x-2) ) / ( (x+3)(x-5) )

Cancelling the (x+3) term in numerator and denominator gives

(x-2)/(x-5)


Regards,  

MrB


(x-2)/(x-5)

A rational expression can have:

any number of vertical asymptotes,only 0 or 1 horizontal asymptote,only 0 or 1 oblique (slanted) asymptoteWhat are the steps in solving rational expressions?

Solve rational equations.Check for extraneous solutions.Solve application problems involving rational equations.

Factor the numerator and denominator:

x^2 + x - 6 = (x+3)(x-2)

x^2-2x-15 =  (x+3)(x-5)

So  

( x^2 + x - 6) / x^2-2x-15  

= ( (x+3)(x-2) ) / ( (x+3)(x-5) )

Cancelling the (x+3) term in numerator and denominator gives

(x-2)/(x-5)

Learn more about rational expression here https://brainly.com/question/19585906

#SPJ2

What is the value of this expression 8/15 divided by
(0.35)

Answers

Answer:

1 12/21 or 32/21

Step-by-step explanation:

Okay, it may seem a little complex but you will have to break it down bit by bit. So, if you are dividing a fraction by a decimal I would turn the decimal into a fraction, in this case turn 0.35 into a fraction. You get it? I'm a seventh grader and I get stuck on these too! So, 0.35 as a fraction is 7/20. Next you divide 8/15 by 7/20. Not trying to get you confused but in my math class this is the same thing as multiplying by the reciprocal of the second fraction. So, what is 8/15 divided by 7/20 or 8/15 times 20/7? I will do the multiplying way so lets do the numerators first. 8 times 20 is 160. For the denominators, 15 times 7 is 105. Your final fraction is 160/105. Lastly you have to simplify it. It turns into a mixed number and your final answer is 1 12/21 or simplified is 32/21. Hope this helped! :-)

Final answer:

To find the value of the expression 8/15 divided by 0.35, multiply the first fraction by the reciprocal of the second fraction. Simplify the resulting fraction to get the final answer.

Explanation:

To find the value of the expression 8/15 divided by 0.35, we need to divide 8/15 by 0.35.

We can represent 0.35 as a fraction by dividing it by 1. So, 0.35 is equal to 35/100 or 7/20.

Now, let's divide 8/15 by 7/20.

When we divide fractions, we multiply the first fraction by the reciprocal of the second fraction.The reciprocal of 7/20 is 20/7. So, we can rewrite the expression as (8/15) * (20/7).Multiplying these fractions, we get (8 * 20) / (15 * 7).Simplifying further, we have 160/105.

Therefore, the value of the expression 8/15 divided by 0.35 is 160/105.

What is the value of h(-2)

Answers

Answer:

C

Step-by-step explanation:

Just took the test. Good luck


Name a fraction that is equivalent to 1/2.

Answers

Answer:

2/4

Step-by-step explanation:


A fraction that is equivalent to [tex]\frac{1}{2}[/tex] is [tex]\frac{14}{28}[/tex]

These fractions have the same value. Although the numerators and denominators of these fractions look different, their fractional values are the same.

What food resources can be harvested from the ocean?


Select the three correct answers.



oysters


cranberries


shrimp


fish
(oops sorry for wrong topic dont know how to edit the topic sorry)

Answers

Answer: Oysters, Shrimp and Fish


Which best describes the relationship between the successive terms in the sequence shown?

9, –1, –11, –21, …

The common difference is –10. 

The common difference is 10. 

The common ratio is –9.

The common ratio is 9.

Answers

Answer:

The common difference would be -10.


Step-by-step explanation: If it were +10 then it would be: 9, 19, 29, 39

If it had a common ratio of -9 then it would be: 9, -81, 729, -6561

It it had a common ratio of 9, then it would be: 9, 81, 729, 6561



Answer:

A

Step-by-step explanation:

What is the 15th term of the sequence an =-3n+50

Answers

Answer:

a15 = -5

Step-by-step explanation:

Let n=15 for the 15th term

a15 = -3*15 +50

a15 = -45+50

a15 = -5

Final answer:

To find the 15th term of the sequence an = -3n + 50, replace n with 15 in the given formula. The calculation becomes -3(15) +50 which simplifies to -45 + 50, finally giving the result 5. Therefore, the 15th term of the sequence is 5.

Explanation:

In mathematics, determining the nth term of a sequence involves applying the sequence formula, and substituting the specific term number, denoted as n, into the formula. For instance, consider the sequence an = -3n + 50. To find the 15th term (a15), one substitutes n = 15 into the formula: a15 = -3(15) + 50. Simplifying, a15 = -45 + 50, resulting in a15 = 5. This process showcases how a specific term in the sequence can be calculated systematically, providing a precise value for the 15th term. The formula an = -3n + 50 encapsulates the underlying pattern, allowing for the determination of any term within the sequence.

Learn more about Sequence here:

https://brainly.com/question/30262438

#SPJ3

There are three numbers for the combination to the store’s safe. The first number is 14.The other two numbers can be multiplied together to give a product of 24.What are all the possibilities of the other two numbers?Write your answers as multiplication number sentence, and then list all the possible combinations to the safe.

Answers

1, 24; 2, 12; 3, 8; 4, 6. mix and match for the codes but that's like 100+ combinations and I don't have that kind of time sorry

What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f(4x)? A) stretched vertically B) compressed vertically C) stretched horizontally D) compressed horizontally

Answers

Answer:

D) compressed horizontally

Step-by-step explanation:

he graph of the function f(x) = |x|

 f(x) is changed to f(4x)

When we multiply some number with f(x) outside , then there will be a vertical stretch or compression on the graph

When we multiply some number with x  inside f(x), then there will be a horizontal stretch or compression on the graph

Here 4 is multiplied with x  inside f(x)

If the number is greater than 0 and less than 1 , then its a horizontal stretch

If the number is greater than 1 then it is a horizontal compression

Here 4 is greater than 1, so there will be a horizontal compression by a factor 1/4


Answer:

the correct answer is c i just got it wrong

Step-by-step explanation:

2> -2-c.



how would I graph this?

Answers

Answer:

-4< c

Step-by-step explanation:

2> -2-c

Add 2 to each side

2+2> -2+2-c.

4 > -c

Divide each side by -1.  Remember that dividing by -1 will flip the inequality.

4/-1  < -c/-1

-4< c

A game requires you to roll a dice and flip a coin. How many possible outcomes are there?

Answers

12


6 possible outcomes for each side of the coin

Answer:

The total amount of possible outcomes is 12.

Step-by-step explanation:

1.) 1-h

2.) 1-t

3.) 2-h

4.) 2-t

5.) 3-h

6.) 3-t

7.) 4-h

8.) 4-t

9.) 5-h

10.) 5-t

11.) 6-h

12.) 6-t

Hope this helps!! (:

Other Questions
Name the false cognate.Se ofrecen clases de msica e instrumentos musicales.Clases de piano, guitarra, violn, trompeta, saxfono y flauta.El profesor es msico profesional. Tambin es artista de radio y televisin.Las clases son veinte dlares y se ofrecen en los meses de junio y julio.Ven con tu mejor ropa y sers un artista con xito en la carpeta roja! What change occurs to the mass of an object when an unbalanced force is applied to it? A. The mass increases. B. The mass decreases. C. The mass remains the same. D. The mass reduces to zero. E. The mass changes by an indeterminate amount. What are the mean, median, mode, and range of the set of data?28, 31, 25, 22, 24, 32, 33, 25, 29, 23, 25 Which of the following did not help slaves keep their African culture alive?A. DrumsB. BanjosC. BooksD. Supporting each other Use inverse operations to solve the equation. -5x=65 As an estimation we are told 5 miles is 8 km. Convert 34.5 km to miles. What is the junction between a nerve cell and another cell called: axon,synapse, dendrite,none of the above Your town is considering building a nuclear power plant. Describe at least two advantages and two disadvantages of this project. Based on these factors would you recommend that they continue with the project or consider other options? What does Mr Lindner symbolize in A Raisin in the Sun What are the 2 types of cellular respiration and what makes them different Which is the MOST accurate definition of a clause? A) A clause is any group of two or more words. B) A clause is a group of words with a subject and a verb. C) A clause is a group of words with a subject and a verb that can stand alone. D) A clause is a group of words with a subject and a verb that cannot stand alone. What is the quotient of the complex number 4-3i divided by its conjugate? ANSWERS: A. 24/25 + 7/25iB. 24/25 - 7/25iC. 7/25- 24/25iD. 7/25 + 25/25iNeed an answer ASAP Read the excerpt relating to Reverend John Wilson from Chapter 3 of The Scarlet Letter. The voice which had called her attention was that of the revered and famous John Wilson, the eldest clergyman of Boston, a great scholar, like most of his contemporaries in the profession, and withal a man of kind and genial spirit. This last attribute, however, had been less carefully developed than his intellectual gifts, and was, in truth, rather a matter of shame than self-congratulation with him. What does the excerpt reveal about Reverend John Wilson? Jessica's mom works in a high-stress job. She and most of her coworkers smoke. It will be difficult for Jessica's mom to quit smoking because A. she will have to breathe secondhand smoke. B. she uses cigarettes as a life skill for stress. C. she may have little support from her coworkers. D. smoking cigarettes leads to using other drugs of abuse. A sample of air with a volume of 2.20m3 at a pressure of 105 KPa and a temperature of 30c is cooled to 10c and the pressure is reduced to 75.0 KPa.What is the new volume?6.91.342.5643.02.88 Which matter exists in the plasma state?A.SunB.flourC.water vaporD.carbon dioxide the graph of y=x2+11x+24 One integer is 9 less than 5 times another. Their product is 18. Find the integers. true or false?The Chesapeake Bay Watershed drains water into the Pacific Ocean. Simplify 7/9 3/4 2/7 Steam Workshop Downloader