help please! step by step if possible

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:

Alex has twice as much money as Jennifer.

a = 2j

Jennifer has $6 less than Shannon.

j = s-6

j+6 = s

All together the three friends have $54.

a + j + s = 54

Replace a and s

2j + j + (j+6) = 54

4j = 54 - 6

4j = 48

j = 48/4

j = 12  

Jennifer has $12

Alex= 2*12 = $24

Shannon = 24+12+s = 54

= 36+s = 54

s = 18

Shannon has $18

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:

30

Step-by-step explanation:

Answer:

Oh thats easy its $30

Step-by-step explanation:

so for 2 icecreams it costs $6

so if u divide them it would become 1 icecream for $3 so

10 times 3 will be $30

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:

Steepest to most gentle: W, Z, U, Y

Step-by-step explanation:

Answer: WZUY

Step-by-step explanation: On Edgenuity!!!!!!!!!!!

Answer:

Step-by-step explanation:

given that the initial time before pumping is 3:40 p.M.

after pumping the time reads 3:44, hence he use 4 min to fill his tank

time taken=4 min

also given is that had pumped 10.2 gallons

the capacity of tank= 10.2gallon

Then the average rate of pump is

average rate= capacity of tank/time taken

average rate= 10.2/4min

average rate=2.55gallons.min

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{20}{\sqrt{2} }[/tex]

To rationalise the denominator multiply the numerator and denominator by [tex]\sqrt{2}[/tex], that is

[tex]\frac{20(\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }[/tex]

= [tex]\frac{20\sqrt{2} }{2}[/tex]

= 10[tex]\sqrt{2}[/tex]

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:

Yes.

Step-by-step explanation:

If the catetes are 5 and 12, then the hypotenuse is 13, and it is a special right triangle.

Answer:

4 hours

Step-by-step explanation:

240/60=4

The rule that best describes the problem is time = 240/60.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A motorist drives at a constant rate of 60 kph and his destination is 240 kilometers away from his starting point.

We know, Distance = time×speed.

time = distance/speed.

time = 240/60.

time = 4 hours.

speed×time = distance.

60t = 240.

60x = 240.  (x = t).

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Answer:

slope = -3

Step-by-step explanation:

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

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

               = -3

Answer:

x=9

Step-by-step explanation:

Step-by-step explanation:

ghsusvzbsisieb ujdidjd ki kdjd jarq. id dhdb

Answer:

1/16

Step-by-step explanation:

I usually provide explanations, but I'm pretty sure you need an answer fast. Tell me if you need an explanation!

Answer:

1/16

Step-by-step explanation:

please mark me brainliest

If Ethan ran twice as far as Gavin then he ran 14 kilometers. 7*2=14. And then you add 7 to 14 which gives you 21. so they ran a total of 21 kilometers

The total distance that Gavin and Ethan ran last week is 21000 meters.

Given that, Gavin and Ethan are training for a race.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Last week, Gavin ran 7 kilometers, and Ethan ran twice as far as Gavin.

Number of kilometers Ethan ran =2×7

= 14 kilometers

= 14×1000

= 14,000 meters

Now, 7 kilometers = 7000 meters

Total =14000+7000

= 21000 meters

Therefore, the total distance that Gavin and Ethan ran last week is 21000 meters.

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Answer: A

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

plz mark brainliest

Answer:

C

Step-by-step explanation:

If 9 members paid on the first day, this means they did not pay on the third day

The remaining people (everyone but the 9) paid on the third day

Therefore we must subtract to find out how many members paid on the third day

22 - 9 = 13

Each of the 13 members paid $12.80 which means we must multiply

13 × 12.80 = 166.40

In total, the grocery store collected $166.40 on the third day of the month

Answer:

a) 3x+7y

Step-by-step explanation:

Sorry I don't know the answer to question B

Hope this helps

The equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A high school football team scores a total of 42 points by scoring touchdowns and field goals.

From the data given in the question:

42 = 3x + 7y

Here x represents the number of field goals and y represents the number of touchdowns.

For x-intercept:

Plug y = 0

3x = 42

x = 14

For y-intercept:

Plug x = 0

7y = 42

y = 6

Thus, the equation models the total points scored in the game as 42 = 3x + 7y, and the x-intercept and y-intercept are 14 and 6.

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Answer:

75 grams

Step-by-step explanation:

1/2 cm = 25 grams

(1 1/2) /( 1/2) = 3 times as much

1 1/2 cm = 3 x 25 75 grams

A. -2 +23 = 21 C

B. -2 x 3 = -6 C

Answer:

64

Step-by-step explanation:

f(x) = 4^x,

When x = 3,

=> f(3) = 4^3

= 4 * 4 * 4

= 64

Answer:

f(3) = 64

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 4³ = 64

Answer:

angles ABD and BAD

Answer:

angles ABD and BAD

Step-by-step explanation:

Answer:

it is J

Step-by-step explanation:

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