An expression is shown below.

Which expression is an equivalent expression?

Please work it out to show how you got the answer.

Answer:

The angles opposite each other when two lines cross. In the figure, the 1 and 3 are vertically opposite angles and they are always equals. Same goes for angles 2 and 4. The angles in matching corners when two lines are crossed by another line, called the transversal.

Step-by-step explanation:

1. Complementary Angles

Definition

Complementary angles are two positive angles whose sum is 90 degrees.

Examples

For example, complementary angles can be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two acute angles, like ∠MNP and ∠EFG, whose sum is equal to 90 degrees. Both of these graphics represent pairs of complementary angles.

complementary angles example

Complementary Angles Example

2. Supplementary Angles

Definition

Supplementary angles are two positive angles whose sum is 180 degrees.

Examples

For example, supplementary angles may be adjacent, as seen in with ∠ABD and ∠CBD in the image below. Or they can be two angles, like ∠MNP and ∠KLR, whose sum is equal to 180 degrees. Both of these graphics represent pairs of supplementary angles.

supplementary angles example

Supplementary Angles Example

What is important to note is that both complementary and supplementary angles don’t always have to be adjacent angles.

3. Adjacent Angles

Definition

Adjacent angles are two angles in a plane that have a common vertex and a common side but no common interior points.

Examples

Angles 1 and 2 are adjacent angles because they share a common side.

adjacent angles examples

Adjacent Angles Examples

And as Math is Fun so nicely points out, a straightforward way to remember Complementary and Supplementary measures is to think:

C is for Corner of a Right Angle (90 degrees)

S is for Straight Angle (180 degrees)

Now it’s time to talk about my two favorite angle-pair relationships: Linear Pair and Vertical Angles.

4. Linear Pair

Definition

A linear pair is precisely what its name indicates. It is a pair of angles sitting on a line! In fact, a linear pair forms supplementary angles.

Why?

Because, we know that the measure of a straight angle is 180 degrees, so a linear pair of angles must also add up to 180 degrees.

Examples

∠ABD and ∠CBD form a linear pair and are also supplementary angles, where ∠1 + ∠2 = 180 degrees.

linear pair example

Linear Pair Example

5. Vertical Angles

Definition

Vertical angles are two nonadjacent angles formed by two intersecting lines or opposite rays.

Huh?

Think of the letter X. These two intersecting lines form two sets of vertical angles (opposite angles). And more importantly, these vertical angles are congruent.

Examples

In the accompanying graphic, we see two intersecting lines, where ∠1 and ∠3 are vertical angles and are congruent. And ∠2 and ∠4 are vertical angles and are also congruent.

vertical angles examples

Vertical Angles Examples

Together we are going to use our knowledge of Angle Addition, Adjacent Angles, Complementary and Supplementary Angles, as well as Linear Pair and Vertical Angles to find the values of unknown measures.

Angle Relationships – Lesson & Examples (Video)

32 min

Introduction to Angle Pair Relationships

00:00:15 – Overview of Complementary, Supplementary, Adjacent, and Vertical Angles and Linear Pair

Exclusive Content for Member’s Only

00:06:29 – Use the diagram to solve for the unknown angle measures (Examples #1-8)

00:19:05 – Find the measure of each variable involving Linear Pair and Vertical Angles (Examples #9-12)

Practice Problems with Step-by-Step Solutions

Chapter Tests with Video Solutions

The required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.

Given that,
To determine the relationship between angles 1, 2, and 3.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
Angles 1 and 2 are remote interior angles while angle 3 is a remote exterior angle. So there is a property of a triangle in that the sum of the remote interior angles is equal to the remote exterior angle.
∠1 +∠2 = ∠3.

Thus, the required relationship between the angles 1, 2, and 3 is ∠1 +∠2 = ∠3.

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Answer:

answer is 1 ) ( -2 -1 )

Step-by-step explanation:

4* (-1) - 2 (-2) = 0

Answer:

27/20

Step-by-step explanation:

The absolute value of any expression is always positive or zero

3/5 + 3/4

Add the fractions

27/20

Solution

27/20

Alternate form

1 7/20, 1.35

Answer:

1.35

Step-by-step explanation:

I hope this helps!

Huge is incorrect, because subtraction is not commutative.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Hugh says that “one less than four times a number” can be written as two expressions,

⇒ 1 - 4n and 4n - 1.

Now, We know that;

The subtraction property is not commutative.

And,  1 - 4n ≠ 4n - 1

Hence, Hugh is incorrect.

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Answer:

Answer is x and y

Step-by-step explanation:

hope this will help you

Step-by-step explanation:

need staff how do u apply that

Step-by-step explanation:

ghsusvzbsisieb ujdidjd ki kdjd jarq. id dhdb

Answer:

That would be the origin, (0,0).

Please let me know if I'm incorrect!

Answer:

the ordered pair you see is (0,0) or the origin

Answer:

66 candies

Step-by-step explanation:

70-4=66

Answer: 2x=56

Step-by-step explanation:

Answer:

The correct answer would be A.

Step-by-step explanation: Because If you look at it closly you'll see how their equivalent.

Answer: A

Figure A is a counterexample because they are vertical angles that equal 180°, which makes the statement false.

plz mark brainliest

Answer:

5.14

Step-by-step explanation:

The similarity ratio is 4/7 we can write an equation to find x

4/7 = 9/x cross multiply

7x = 36 divide both sides by 7

x = 5.14 approximately

Answer:

The answer is B

Step-by-step explanation:

5.14 hope this helps. :)

there are many ways

in 4 minutes, you will have 24 flyers passed out

in 6 minutes, your partner will have 24 passed out.

in 6 minutes, you will have 36 flyers passed out

in 9 minutes, your partner will have 36 flyers passed out.

you can use numbers that can be multiplied with each other or also known as multiples

Answer: 34 yards

Step-by-step explanation:

A Square has all its sides having equal lengths so all the sides of this playing field will be the same.

The area of a square is calculated by multiplying the length of the field by its Width.

To find the length of each side therefore, one can simply find the square root of the area;

= √1,156

= 34 yards

Answer:

A square has equal width and length. To find the area, you have to multiply the width by length but because they are the same length, you may some time see the formula written as L*L or [tex]L^{2}[/tex].

The area of used up by the squares is 150sq feet. I found this by dividing 600 by 4. You can find an estimate by equating 150 the L*L. This gives you an approximate value of 12.  

Answer:

Step-by-step explanation:

There is no answer if the question is as written. If you subtract 2/3 h from 2/3 h you get 0.

That means that 11 = 8 which has no meaning.

Answer:

English people often say: 'A dog is a man's

best friend', and I agree.

I live with my parents on a farm in the country It is a long way from my school, and I haven't got any

brothers or sisters, so I am often alone.

My dog, Bella, is like a best friend to me. When I am at home, she

is with me all the time.She follows me arond the house, and she sleeps next to my bed at night. Bella always wakes up early in the

morning. She has lots of energy and she likes to play. We usually get

up at 6 a.m. and walk in the fields behind my house.

Of course, Bella doesn't talk to me, but she always looks at me

and concentrates when I talk to her. I think she knows when I am happy and when I am sąd. She always knows how

to make me feel better.

When I come home from school, I sit at my desk and do my

homework."

Bella usually relaxes under the desk. When I finish, she jumps up and we go

out again.English people often say:A dog is man's best friend, and I agree. I live

Answer:

B)129.1

Step-by-step explanation:

see the graph of cos

Answer:

x = -5

Step-by-step explanation:

I hope this helps!

Answer:

if you need to find the value of x then I can help

First the equation looks like this:

2x + 3 = -7

first find the value of "x" which will be -5 then the equation will look like this:

2(-5) then multiply 2 and -5 which is equal to -10

this will make the equation look like this:

-10 + 3 = -7

then evaluate

-10 + 3 = -7

-7 = -7

Therefore the value of "x" is -5

Answer:

y = -4x + 19

Step-by-step explanation:

We will use the linear equation y = mx + c for this

m is our slope and c is our offset (y-intercept)

We are informed that our slope is -4 so

y = -4x + c

To find the equation of a line passing through the point (5,-1) we simply plug in our values into our equation

-1 = -4(5) + c

Then we can find c

-1 = -20 + c

19 = c

Now that we have our m and c, we can form an equation of a line that passes through our point:

y = -4x + 19

Answer:

no solution

Step-by-step explanation:

24 + 6k < -6(-4-k)

Distribute

24+6k< 24 +6k

Subtract 6k from each side

24 < 24

This is never true so there are no solutions

Answer:

there is nothing to graph because there is no solution.

Answer:

slope = -3

Step-by-step explanation:

slope is: (delta y)/(delta x)

so slope = (15-3)/(0-4)

               = -3

Answer:

Acute

Step-by-step explanation:

The definition of an acute angle is less that 90 degrees.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

The home team with 3 touchdowns

Step-by-step explanation:

A touchdown in football is equal to 6 points

6*3=18

A field goal is equal to 3 points

4*3=12

The home team scored more points at 21 points than the visiting team which had only scored 12 points.

Given that, the home team scored 3 touchdowns. The visiting team scored 4 field goals.

We need to find which team scored more points.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now,

If you are including the extra point as the touchdown it would be 7 points times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)

For the 2nd team, they have 3 pts times 4 field goals which would put the visiting team at 12 points total.

Therefore, the home team scored more points at 21 points than the visiting team which had only scored 12 points.

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Given:

The complex fraction is

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]

Esmerelda simplified a complex fraction and steps are given.

To find:

The mistake of Esmerelda.

Solution:

We have,

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]

Convert the mixed fraction in improper fraction.

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{5\times 4+1}{4}}{\dfrac{3}{2}}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{20+1}{4}}{\dfrac{3}{2}}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{21}{4}}{\dfrac{3}{2}}[/tex]

Use the reciprocal of the divisor.

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21}{4}\times \dfrac{2}{3}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21\times 2}{4\times 3}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{42}{12}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{7}{2}[/tex]

Therefore, the correct value of given fraction is [tex]-\dfrac{7}{2}[/tex].

Three mistakes of Esmerelda are:

1. Esmerelda added the numerators.

2. Esmerelda added the denominators.

3. Esmerelda did not use the reciprocal of the divisor.

Answer:

B,C,E

Step-by-step explanation: