How are pairs of alternate interior angles related to one another? How are pairs of alternate exterior angles related to one another? Describe the relationship between these pairs using geometric terms.

Answers

Answer 1

Answer:

Each pair of alternate interior angles is congruent, and each pair of alternate exterior angles is congruent.

Step-by-step explanation:

Answer 2

Pairs of alternate interior angles are congruent angles located inside two lines when a transversal intersects them. Similarly, pairs of alternate exterior angles are congruent angles located outside the two lines when a transversal intersects them.

Relationships between pairs of alternate interior angles and pairs of alternate exterior angles

The relationships are:

Pairs of Alternate Interior Angles:

Location: Inside the two lines.

Formation: Formed when a transversal intersects the two lines.

Relationship: Alternate interior angles are congruent, meaning they have the same measure.

Pairs of Alternate Exterior Angles:

Location: Outside the two lines.

Formation: Formed when a transversal intersects the two lines.

Relationship: Alternate exterior angles are congruent, meaning they have the same measure.

In both cases, the congruence of these angle pairs is a result of the intersecting lines and the transversal creating specific geometric relationships.

Learn more on alternate angles here https://brainly.com/question/26167358

#SPJ2


Related Questions

Solve 3(y-2)=6(y-1)-3y

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

1. First you want to distribute what is inside the parenthesis. You would want to do 3 × y + 3 × -2 = 6 × y + 6 × -1 -3y.

2. Now that the equation has been distributed, you want to simplify it. 3 × y is equal to 3y, and 3 × -2 is equal to -6. So, 3y + -6 = 6 × y + 6 × -1 -3y.

3. Now you want to simplify the right side of the equation. So, 6 times y is equal to 6y, and 6 × -1 is equal to -6. Now the new equation is 3y + -6 =6y + -6-3y.

4. Also in an equation, if there is a + and - sign together like this +-, it would equal to -. So, 3y + -6 = 6y + -6-3y, is equal to 3y - 6 = 6y -6-3y.

5. Now you want to combine like terms on the right side of the equation. 3y - 6 = 3y -6 because 6y-3y is equal to 3y.

6. Now the rest of the equation has to be combined using like terms. Start by moving the -3y fromthe right side of the equation to the 3y on the left side of the equation. -3y plus 3y is equal to zero so it cancels out. The 3y on the left side plus another 3y is equal to 6y.

7. Now the equation is 6y - 6 = 6y - 6

8. You can add 6 to the -6 on both sides of the equation which would cancel out on both sides leaving you with an equation of 6y = 6y.

9. Divide both sides by 6 to get y = y.

10. This equation means that all real numbers are solutions to this equation. In other words, no matter what real number you use in this equation, it would come out to be true. For example, if y = 3, 3 = 3, so the equation is true.

Been here for hours please help me

Answers

The unit rate is $60.20 ÷ 5.  Solve that (that's what goes in the 1 hour box) and then multiply it by each number of hours. If you want to comment with your answer I can tell you if it's right. :)

A rectangular garden is fenced on all sides with 234 feet of fencing. The garden is 5 feet longer than it is wide. Find the length and width of the garden.

Answers

Answer:

The width in only one side is 56ft and in both it is 112ft. The length in only one side is 61ft and in both sides it is 122ft.

Step-by-step explanation:

1/3,4/5,4/9,0.6
order each set of number from least to greatest

Answers

Answer:

1/3 , 4/9, 4/5, .6

Step-by-step explanation:

1/3 = .3333... 4/5 = .8 4/9 = .4444... .6

Answer:

1\3 4\9  4\5, 0.6

Step-by-step explanation:

Which of the following does not have only one solution.
a. x+3 = 7
b. 7x = 4x + 2
c. (x+3)(x - 2) = 0
d. -3= 2x – 5

Answers

Answer:

A. x+3=7

[tex]a. \: x + 3 = 7 \\ or \: x = 7 - 3 \\ or \: x = 4[/tex]

Thank you ☺️☺️

A toy has various shaped objects that a child can push through matching holes. The area of the square hole is square centimeters. The volume of a​ cube-shaped block is cubic centimeters. a. Which edge length can be​ found? Explain. b. Will the block fit in the square​ hole? Explain.

Answers

Answer:

a. We can find edge length of the cube-shaped bock. b. No, it will not

Step-by-step explanation:

Here is the complete question

A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 18 square centimeters. The volume of a​ cube-shaped block is 729 cubic centimeters. a. Which edge length can be​ found? Explain. b. Will the block fit in the square​ hole? Explain.

Solution

a.

Since the volume of the cube 729 cm³ is a perfect cube of 9 cm and the area of the square hole which is 18 cm² is not a perfect square, the edge length of the cube-shaped block is easily found.

b. Since the edge length of the block is 9 cm, the area of one of its faces is (9 cm)² = 81 cm² which is greater than the area of the square hole which is 18 cm². Since their dimensions are not the same, the cube-shaped block will not fit into the square hole.

What is the term used to describe the portion of the fraction occupied by the
1 in the fraction below?
1/2
O A. Divisor
B. Factor
O C. Dominator
O D. Denominator
E. Numerator
SUBMIT
PREVIOUS

Answers

FActor is the answer!!!!!

need geometry help asap please

Answers

Answer:

x = 20

Step-by-step explanation:

You're in luck I take H geometry.

What I'm going to do is this. 4x - 18 and 3x + 2 are alternate interior angles so they equal the same, so use this equation.

4x -18 = 3x + 2 (add 18 on both sides)

4x = 3x + 20 (minus 3x on both sides)

x = 20

plug in

4(20) - 18 = 3(20) + 2

80 - 18 = 60 + 2

62 = 62

yoooo can someone help meeee thanks In advance

Answers

Answer:

The slope of F = 5.

Not 100% sure.

Please answer as soon as possible! Brainliest and lots of points! Please give good details and make sense! Thanks! (See attachment for question)

Answers

Answer:

no because they did not multiply the whole numbers and just multiplied the powers

Step-by-step explanation:

Solve this system of equations
9-36=13
Sa+60=41
2a4b-c-5

Answers

Answer:

-27=13

a=19/a

a=2b−c/2−5/2

Step-by-step explanation:

carlos read 40 pages of a book in 50 minutes. how many pages should he be able to read in 80 minutes​

Answers

Answer:

70

Step-by-step explanation

How does the graph of y = ax2 + c compare to the graph of y
ax2

Answers

Answer:

[tex]y = a {x}^{2} + c \\ y = a {x}^{2} \\ \\ y = a {x}^{2} + c \: \: \: is \: translated \: along \: the \: y \: axis\: for \: c[/tex]

which of the following number is negative chose all that apply ​

Answers

Answer: B,C,D,E

Step-by-step explanation:

B. A - 2 would be lower than one because 2 is bigger than A.

C. Negative B is a negative, obviously.

D. B has to be at least negative 2, and A is only about 1.5, so added together, these numbers will be negative.

E. Same thing as last time pretty much.

find the slopes of the linear equations

Answers

Answer:

m is the slope.

b is the y intercept.

slope intercept is in the form: y = mx + b.

y - 4 = 3 (x - 2) [m = 3] [slope is 3]

y = 3/4x - 7 [m = 3/4] [slope is 3/4]

y + 8 = -6 (x - 1) [m = -6] [slope is -6]

y = -5x + 10 [m = -5] [slope is -5]

4x + 5y = 20 [m = -4/5] [slope is -4/5]

Explanation:

For all of these equations, make sure they are all in slope intercept form by isolating y completely, and getting it on the left side of the equation.

y - 4 = 3 (x - 2) → y - 4 = 3x - 6 → y = 3x - 2 → y = mx + b.y = 3/4x - 7 → y = mx + by + 8 = -6 (x - 1) → y + 8 = -6x + 1 →. y = -6x - 7 → y = mx + by = -5x + 10 → y = mx + b4x + 5y = 20 → 5y = -4x + 20 → y = -4/5x + 4 → y = mx + b

Which value claims that 3.657 is a rational number

Answers

Step-by-step explanation:

It is rational because you can write it as 3 657/1000 which is a fraction. It also is not repeating with no pattern which also means it is rational.

!!TIMED!!PLEASE HELP

Answers

Answer:

y=3x+1

Step-by-step explanation:

Since the number is going up by three but I could be wrong

Answer: y=3x+3
Steps

Please and thx lol lll

Answers

the answer would be 16

Answer:

16

Step-by-step explanation:

took me 5m

Can someone help me please ​

Answers

Answer:

the answer is 2 hope this help

Step-by-step explanation:

how do you do this ??​

Answers

Answer:

Step-by-step explanation:

There are my notes for that stuff. I hope you understand cause I'm having trouble with it too. Just ask any questions if you still need help maybe i can help.

i need help
pls help me

Answers

Answer:

c 1234

Step-by-step explanation:

the relationship among integers, natural numbers, rational numbers, and whole numbers?

Answers

Answer:

Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.

Find f(-5) if f(x) = |x + 1|.
A)6
B)5
C)4

Answers

The answer would be C)5

1.2 × 10e4− 1.5 × 10e3− 2.2 × 10e2 in scientific notation

Answers

Answer: 4.5×10^9

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. The sign of the exponent will depend on the direction you are moving the decimal.

4.5

×10

9

That answer is correct, I checked:)

1. If x+ 2 = 7, then x=5.
Converse:
Inverse:
Contrapositive:

Answers

Answer:

Converse: if 5=x then x+2=7

Inverse: if x+2 doesnt = 7 then x isnt 5

Contrapositive: if x doesnt equal five then x plus two doesnt equal seven

Step-by-step explanation:

We just did this last week :)

what they said is right :) lol gj hope u passed it so good job!

Bridget went fishing with her dad. Bridget Bridget caught the first fish of the day, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish.
Bridget's dad caught four fish. the first fish he caught weighed 2 more than 3 times a weight of the first fish caught that day. one fish weighed 4/5 in the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last one weighed 1/2 the weight of the first caught that day.

if all the fish Bridget caught have the same total weight as the fish her dad caught, then the first fish Bridget caught weighed ____ ounces in the first fish her dad caught weighed ____ ounces.​

Answers

Answer:

Bridget's first fish =f = 5 ounces

Bridget's dad first fish weighs 17 ounces

Step-by-step explanation:

Solution:

Bridget's fishes:

f ounces

2f ounces

3f+2 ounces

1/2f ounces

3/5f ounces

Total= f +2f + (3f+2) + 1/2f +3/5f

=3f + 3f + 2 + 5f+6f/10

=6f + 2 + 11f/10

=60f+11f/10 +2

=71/10f +2

Bridget's dad fishes

3f+2

4/5f

2f+4

1/2f

Total =(3f+2) + (2f+4) + 4/5f +1/2f

=3f+2+2f+4 + 8f+5f/10

=5f + 6 + 13/10f

= 50f+13f/10 + 6

=63/10f +6

Equate the total weight

71/10f +2=63/10f +6

Collect like terms

71/10f - 63/10f =6-2

71f-63f/10 = 4

8f/10=4

Cross product

8f=40

Divide both sides by 8

f=5

Bridget's first fish =f = 5 ounces

Bridget's dad first fish = 3f +2

=3(5)+2

=15+2

=17 ounces

Bridget's dad first fish weighs 17 ounces

Waterco is filling barrels with waste water at the rate of 8 quarts per hour. The recycling facility picks up 150 barrels on each trip, and each barrel holds 15 quarts of wastewater. How many days are between each pick up? Show your work to receive full credit. Round answer to the tenths place 

Answers

Answer:

11.7 days

Step-by-step explanation:

Given that:

Filling rate = 8 quarts per hour

150 barrels picked up per trip

One barrel = 15 quarts of waste water

Barrel picked up per trip = 150 barrels

Number of quarts per barrel = 15 quarts

Total quantity of waste water = (150 * 15) = 2250 quarts

Filling rate = 8 quarts per hour

Time taken = quantity / rate

Time taken in days = 2250 quarts /(8*24) = 11.72

11.7 days

You read 9.75 pages in your science book and 24.5 pages of a play for English class
It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?

Answers

Answer: 1. You have to multiply 9.75x1.2= 11.7

2.You have to multiply 24.5x0.8= 20.4

3. Add the to products 11.7+20.4= 32.1

4. Answer is- 31.3 minutes

Step-by-step explanation: Hopefully this helped a lot ;D

Solve for x 6x-18-3x<27-2x

Answers

Answer:

x=9

Step-by-step explanation: here^

Question 4(Multiple Choice Worth 3 points)
(03.01)
Which of the sums below can be expressed as 8(2 + 7)?
O2 +56
O 10 + 15
O 16 + 7
O 16 + 56

Answers

Answer:

16+56

Step-by-step explanation:

8(2 + 7)

=8*2+8*7

16+56

8(2+7)=
8(9)=
72

the only answer that equals the same as 72 in the choices is the last one..

16+56=
72
Other Questions
Evanders dad bought a box of 8 fruit bars for $2.10. What is the price of two fruit bars? Explain your mathematical thinking. o Which of the these items contains carbon?WARM UP ___ you tell him about it when you ___ him?Did / seeDoes / sawWill / seeDo / will see Read the problem in the box below. Make a list to help you find the correctanswerEudora's grandfather has decided to move to adesert island. In his new place, he will only haveroom for 2 of his 4 favorite jazz records. The 4records are by Ben Webster, Miles Davis,Cannonball Adderley, and Lester Young. Howmany combinations of 2 records, in any order, canhe make?O A. 12 combinationsB. 8 combinationsO C. 6 combinationsOD. 10 combinations how should we honor history? should we celebrate columbus day? why or why not? remember to cute textual evidence to back up your thoughts which ordered pair would be a solution to the equation y = 2x -9? In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this? Sam deposits $1,000 in his savings account which will earn 2.5% interest. How much interest will Sam have earned after 2 years? * Which sequence of transformations does not map a figure onto a congruent figure? Explain.A. Rotation of 180 about the origin, reflection across the x-axis, horizontaltranslation (x, y) (x + 4, y)B. Reflection across the y-axis, combined translation (x, y) (x -5, y + 2)C. Rotation of 180 about the origin, reflection across the y-axis, dilation(x, y) (2x, 2y)D. Counterclockwise rotation of 90 about the origin, reflection across they-axis, combined translation (x, y) (x -11, y - 12) how can you get rid of depression Una fiesta muy ruidosa Fill in the blanks ActivityLATEDUE October 30th 8:00 AMInstructionsMartn y Luisa han organizado una fiesta muy ruidosa (noisy) en su casa y un vecino ha llamado a la polica. El polica les aconseja lo que deben hacer para evitar ms problemas. Reescribe los consejos cambiando las palabras subrayadas por los pronombres de complemento directo e indirecto correctos.incorrectTraten amablemente a la polica.You Answered traten la amablemente. tratenIncorrect or extra word laIncorrect or extra word amablementeIncorrect or extra word .Incorrect or extra punctuation Missing word .incorrectTienen que pedirle perdn a su vecino.You Answered lo tienen que pedir. Missing word lo tienen que pedirIncorrect or extra word .Incorrect or extra punctuation Missing word .correctNo pueden contratar a un grupo musical sin permiso.You Answered No lo pueden contratar sin permiso. No loIncorrect or extra word pueden contratarIncorrect or extra word sin permiso .Incorrect or extra punctuation .incorrectTienen que poner la msica muy baja.You Answered Tienen que poner la muy baja. Tienen que ponerIncorrect or extra word laIncorrect or extra word muy baja .Incorrect or extra punctuation .No deben servirles bebidas alcohlicas a los menores de edad.You Answered No deben servirse las. No debenIncorrect or extra word servirseIncorrect or extra word lasIncorrect or extra word .Incorrect or extra punctuation Missing word Missing word .incorrectNo pueden organizar fiestas nunca ms.You Answered No pueden organizar las nunca mas. No pueden organizarIncorrect or extra word lasIncorrect or extra word nunca maIncorrect accent or capitalizations .Incorrect or extra punctuation . Your friend, Teresa Enrollada, always has difficult problems. When she tells you about a problem, you ask her how she is going to resolve it. Write your questions using an indirect object pronoun.Modelo:La profesora est enojada y quiere hablar conmigo. (hablar?)Le vas a hablar?o: Vas a hablarle?1. Mis amigos quieren copiar mi tarea. (ensear / tarea?)Enter Text2. Mi exnovio necesita 300 dlares. (dar / dinero?)Enter Text3. Tengo que hacerte una pregunta importante. (hacer / pregunta?)Enter Text4. Mi nuevo amigo de Internet quera una foto de m. (ofrecer / foto?)Enter Text5. Este amigo de Internet quiere mandarnos una foto a nosotros dos. (mandar / foto?)Enter Text What are side effects to marijuana use?A) Increased focus increased appetiteB) Slowed reaction time, decreased appetiteC) Slowed reaction time, increased appetiteD) Increased focus, increased motivation If 1.8 1016 electrons enter a light bulb in 3 milliseconds, what is the magnitude of the electron current at that point in the circuit? True or False The Blockade runners smuggled in supplies for the south during the Union Blockaded of the Southern Ports. According to A Quilt of a Country, how is the United States similar to a quilt? Burning 1 kg of coal releases about 3 million joules of energy. If you could use all of the chemical energy to lift another kilogram of coal, how high could you lift it? any luck of help? I'll brainlist uu promise . I really need it for correction :) Which of the following cases would the Court most likely grant a writ of certiorari? A.A case from the 13th circuit court in which the lower appellate court misapplied a maritime law.B.A case from an international tribunal in which the defendant, who was accused of terrorism in Malaysia, is of both American and Canadian citizenship.C.A case sent directly up from a district court in which the defendant, who was accused of murder, charges that the district court judge did not properly instruct the jury.D.A case involving an Indiana politician who violated Indiana law while in office. PLEASE PLEASE help me