Why can you use Linear Pairs and Vertical Angles to prove lines are parallel?

Answers

Answer 1

Answer:

The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;

1) Supplementary linear pairs  and

2) Vertical angles

3) Alternate angles

Given that either;

a) The corresponding angles that form the linear pairs are congruent

b) The corresponding vertically opposite angles are congruent

c) The corresponding alternate angles are congruent, we have;

The two lines are said to be parallel.

Step-by-step explanation:


Related Questions

30 POINTS AND WILL MARK BRAINLY Graph the line that passes through the points (-3,-8) and (2,-3) and determine the equation of the line

Answers

Answer:

y = x - 5 :)

Step-by-step explanation:

use point-slope form to create an equation for this line.

find the slope first by subtracting the y-values from each other, and the x-values from each other.

-3-(-8) = 5                       <- y-value

2-(-3) = 5                        <- x-value

5/5 = 1                            <- slope

plug the slope and one of the points into the point-slope equation.

y - (-3) = 1(x - 2)

y + 3 = x - 2

subtract 3 from both sides.

y = x - 5

graph this by placing a point on -5 on the y-axis, and going up by 1 and right by 1 for the slope of 1.

hope this helped! xoxxo

Step-by-step explanation:

Hey there!

The line passes through points; (-3,-8) and (2,-3).

Now; use formula for double point.

[tex](y - y1) = \frac{y2 - y2}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y + 8) = \frac{ - 3 + 8}{2 + 3} (x + 3)[/tex]

Simplify it.

[tex](y + 8) = \frac{5}{5} (x + 3)[/tex]

[tex]y = x + 3 - 8[/tex]

[tex]y = x - 5[/tex]

Therefore, the equation is y= x-5.

Hope it helps...

More than 400 students are coming to the school's fundraising fair. To raise at least
$1,000, what should the school charge for each ticket?

Answers

Answer:

2.50

Step-by-step explanation:

Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberries less than Ann and Ben together, what is the total number of strawberries the three of them ate?
Answer:

Answers

Answer:

170

Step-by-step explanation:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 + 5 + 7 = 17

since Cindy ate 30, less than Ann and Ben together so, the equation is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70  

total            = 170

some please help!!!!!!!!!!!​

Answers

Answer:

its d you welcome

Step-by-step explanation:

you need -6 times 2 = 12 in absolute value

Answer: 12

Step-by-step explanation:

12/-1=12.000000

The Gonzalez family went to the carnival. Parking costs $12.00. The price for each ride cost $4 each. Their total cost was $52.
write equation and then solve

Answers

Answer:

12+4x=52

x=10

Step-by-step explanation:

the amount of money for each ride times x amount of rides is the 4x part. then -12 from the left and from 52. then divide 40÷4 equalling 10

20POINTS!
HELP ME PLZZ I NEED HELP WITH THIS IT IS DUE TOMORROW !!

Answers

Step-by-step explanation:

The denominators are 2, 3, and 4.  The least common denominator is the least common multiple (LCM) of these numbers.

To find the LCM, first write the prime factorizations.

2 = 2¹

3 = 3¹

4 = 2²

The LCM is therefore 2² × 3 = 12.

Rewrite the fractions with a denominator of 12.

⁷/₄ + ¹/₂ + ⁵/₃ + ¹/₃ + ¹/₄ + ¹/₂

= ²¹/₁₂ + ⁶/₁₂ + ²⁰/₁₂ + ⁴/₁₂ + ³/₁₂ + ⁶/₁₂

Now that the denominators are the same, we can simply add the numerators.

= ⁽²¹⁺⁶⁺²⁰⁺⁴⁺³⁺⁶⁾/₁₂

= ⁶⁰/₁₂

= 5

Factor the following polynomial
a^4 b^3-a^3b^4 +a^2b^5

Answers

Answer:

a^2 b^3 (b^2 - a b + a^2)

Step-by-step explanation:

Factor the following:

a^2 b^5 - a^3 b^4 + a^4 b^3

Hint: | Factor common terms out of a^2 b^5 - a^3 b^4 + a^4 b^3.

Factor a^2 b^3 out of a^2 b^5 - a^3 b^4 + a^4 b^3:

Answer: a^2 b^3 (b^2 - a b + a^2)

what is 4/5 divided by 1/2

Answers

Answer:

Decimal form: 1.6

Fraction Form: 1    6/10

A store sells a certain digital camera model for $108. During a special promotion, the camera is discounted by 30%. What is the discounted price?

Answers

Answer:

$108

30% discount=30/100*(108)

.......(30*108)/100

........3240/100

=$32.4

Discount=$108-$32.4=$75.6

Step-by-step explanation:

Answer:

$32.4

Step-by-step explanation:


please help
solve the following equation
5/7x 14 =

Answers

Answer:

10

Step-by-step explanation:

multiply the numerators or the top numbers 5/7 * 14/1

14*5=70

divide it by the denominator or the bottom number 70/7=10

I Need Help With This Question 4x+10= -26

Answers

Answer:

x = -9

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

kjhghjklkjhgh

7.) What is -10 has a fraction?

Answers

-10/1 is the correct answer
ANSWER : -10/1
Nothing further can be done to this topic

Convert 6 ounces into grams. Round your answer to the nearest whole
number.

Answers

Answer:

170

Step-by-step explanation:

You have to multiply the amount of ounces you want converted by 28.35. Then you have your ounces converted to grams.

If you use this formula then you would have, 170 X 28.35 = 170.1

When you round 170.1 to the nearest whole number you will get 170.

The conversion of 6 ounces into grams is 170 grams.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number.

Multiply the number of ounces you want to be converted by 28.35. Use the conversion.

1 ounces = 28 .35 grams

6 ounces = 6 x 28.35 grams

6 ounces = 170 grams.

Hence, 6 ounces is equal to 170 grams.

To know more about unit conversion follow

https://brainly.com/question/9921605

#SPJ2


What conclusion can you draw from the following statements using the Law of Syllogism?
• If a figure is a square, then it has four sides.
• If a figure has four sides, then it is not a triangle


The potions for the answer is in the photo

Answers

Using the Law of Syllogism, the conclusion that you can draw from the two given premises is: C. If a figure is a square, then it is not a triangle.

The law of Syllogism is a method of deductive reasoning which involves drawing a conclusion from two premises.

Applying this law, there are usually three statements.

The first and second statements are the premises. The first statement is the major premise that connects to the second statement.

The third statement is the conclusion derived from the two premises stated earlier.

For example:

Statement 1: If a, then b (premise)

Statement 2: If b then c (premise)

Statement 3: If a, the c (conclusion)

In the question above, in the same vein, from the first and second statement, we can conclude that:

If a figure is a square, then it is not a triangle, because a square has 4 sides and a triangle doesn't.

Therefore, using the Law of Syllogism, the conclusion that you can draw from the two given premises is: C. If a figure is a square, then it is not a triangle.

Learn more about the Law of Syllogism here:

https://brainly.com/question/1622136

plzzzzzzzz help 30 brainlist

Answers

It is 896 cubic inches

Answer: 896

(1)/(2)12*14*6=504

(1)/(2)8*7*14=392

504+392=896

A teacher divides her class into groups and assigns each group the task of measuring the mass of the same object three times. The teacher already knows that the mass of the object is 25 g. Based on the results each group records, which group makes the most precise measurements of the object? A. Group D: 20.0 g, 25.0 g, 30.0 g B. Group A: 28.5 g, 28.4 g, 28.5 g C. Group C: 32.1 g, 35.0 g, 25.0 g O D. Group B: 25.5 g, 25.0 g, 24.8 g SUBMIT​

Answers

Answer:

I think it would be group B due to the fact that they are the closest to 25 g

Step-by-step explanation:

Answer:

B Group A 28.5 g, 28.4 g, 28.5 g

Step-by-step explanation:

how can i find all parts of this question?​

Answers

Hope this helps!


The root (zeros)
x = 0,3,1
End behavior
Falls to the left and rises to the right
Graph

solve for r. ( geometry )

Answers

Answer:

r i r

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First, distribute. 12r + 16 = -16r - 40

Then get r on one side by adding 16r to both sides then subtracting 16 from both sides.                  28r = -56

Finally, divide by 28 on both sides to get r by itself.

r = -2

Simplify by combining like terms. 3x3 + 9z + 2x3 + 5z + 6x2

Answers

Answer:

5x^3 + 6x^2 + 14z

Step-by-step explanation:

When combining like terms with exponents, you just add them together as long as they have the same exponent. 3x^3 + 2x^3 = 5x^3

9z+5z=14z

6x^2 has no like terms.

You must find the lowest common denominator to perform which math functions?

Answers

Answer:

i think it's fractions

Step-by-step explanation:

GIVING ALOT OF POINTS IF YOU GET IT CORRCET:)

Answers

Answer:

y=1/2x+4

Step-by-step explanation:

Because I took the quiz and got it right  ;)

Answer:

y=1/2x+4 i took the quiz too

tep-by-step explanation:

Plz help I will mark you brainlist plz ​

Answers

I gotchu.

8. -10
9. 1
10. 13
11. 2/5
12. 8
13. -11/7
14. 20
15. -4
16. 12

Solve for x.
7 =
X =

Answers

Answer:

1

Step-by-step explanation:

Emma and Murphy are friends. Murphy's age is six less than twice Emma's age.
a. Write an algebraic expression to represent Murphy's age.
b. If Murphy is 60 years old, how old is Emma?

Answers

Answer:

X=60+6×2

Step-by-step explanation:

Sorry im not great at math but i think that this would be the answer because Murphy is 6 years younger than Emma. It then says TWICE so i assume it means multiply by two. 6×2= 12 so Emma is 12 years older.

What is an equation of the line that passes through the point (6,6) and is parallel to the line 3x-2y=4?

Answers

Answer:

Fraction: y= 3/2x-3

or

Decimal: y= 1.5x-3

Step-by-step explanation:

Turn 3x-2y=4 into y=mx+b form

Subtract 3x from both sides

-2y=4-3x

Divide -2 from both sides

y= -2+3/2x

y= 3/2x-2

Since the line is parallel, use slope 3/2

Put point (6,6) into equation to find b

6=3/2(6) + b

6=9 + b

-3 = b

Put into equation

y= 3/2x-3

Answer:

Step-by-step explanation:

y= 3/2x-3

Find the value of x to the nearest tenth.
х
34°
48

Answers

Answer:

x ≈ 39.8

Step-by-step explanation:

cos∅ = adjacent / hypotenuse

Since we are given a right triangle, we can use trigonometry to help us solve for missing values:

cos34° = x/48

x = 48cos34°

x = 39.7938

x ≈ 39.8

X= 39.79
(39.8 rounded)
Cos= adj/hyp

5 less than a number is equivalent to 1 more than three times the number. the number is​

Answers

Answer:

x = -1

Step-by-step explanation:

5 less than a number is equivalent to 1 more than three times the number

number = x

x - 5 = 3x + 1

now im going to get the numbers and variable on different sides

x - 5 + 5 = x

3x + 1 - 3x = 1

x + 3x = 4x

1 - 5 = -4

4x = -4

lastly im going to divide each side by 4

4x / 4 = x

-4 / 4 = -1

x = -1

A parent pushes a single child on a swing. Suppose two children now sit on the same swing, and the parent pushes with the same force.

According to Newton's Second Law of Motion, what is the result?


A. mass decreases, acceleration increases

B. mass decreases, acceleration decreases

C. mass increases, acceleration increases

D. mass increases, acceleration decreases

Answers

the answer will be D.

Answer:

D

Step-by-step explanation:

According to Newton's second law of motion, mass is inversely proportional to acceleration. As mass increases, acceleration decreases and the opposite.

Solve the following literal equation for x.

ax-b/c=d

Answers

Answer:

x = (d + b/c)/a

or x = d/a + ba/c

Step-by-step explanation:

1. ax - b/c = d

2. ax = d + b/c

3. x = (d + b/c)/a  (can also be written as x = (d + b/c)*1/a)

4. x = d/a + ba/c

Step 1 is given.

In step 2, b/c was added to both sides of the equation. This works because division is ahead of subtraction in the order of operations.

In step 3, both sides were divided by a.

(optional) In step 4, 1/a was multiplied by the values inside the parenthesis as a means to further simplify the equation.

The temperature in Antarctica during the winter can average -42.3 degrees Celsius. During the summer it can average around 11.52 degrees Celsius. What is the difference between the two temperatures?

Answers

Answer:

-30.78!

Step-by-step explanation:

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