Mathematics High School

Provide reasons for the statements.

Given: ∠1 and ∠3 are vertical angles.

Prove: ∠1 ≅ ∠3

(See image for more details on the equation, please.)

Answers

Answer 1

The reasons for the statement about the angles include:

3. Definition of linear pair.

4. Definition of supplementary angles.

5. Substitution.

6. Subtraction property of equality.

7. Definition of congruence.

How to illustrate the information?

The angles are supplementary because the angles 1 and 2, 2 and 3 form a linear pair and thus because of the definition of linear pair, they are supplementary angles.

The sum of angles of 1 and 2, 2 and 3 is equal to 180 because these pair of angles are supplementary angles. Supplementary angles are those angles whose sum is 180 degrees.

Learn more about vertical angles on:

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Related Questions

A computer store buys a computer system at a cost of $370.80. The selling price was first at $618 , but then the store advertised a 20% markdown on the system.

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Answer:

The answer is 494.40 for the first question and then the second answer is 395.52

Step-by-step explanation:

Answer:

$494.40

Step-by-step explanation:

618 x 20% or .2 = $123.60.

$618 - $123.60= $494.40.

Hope this helps!

The age at which a person can be tried as an adult

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Answer:

giyi

Step-by-step explanation:

The pair of figures is similar. Use proportions to find the value of each variable.

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First you do 21 divided 3 which is 7 then you do 14 divided 7 which is 2 so the answer for M is 2 :)))))))

HELPPPPPPP pleaseeeee mathhhh

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9514 1404 393

Answer:

y = 1/6x

Step-by-step explanation:

The constant of proportionality is the ratio of y to x:

k = y/x

Using the point you have circled, it is ...

k = 2/12 = 1/6

Then the equation y = kx can be written:

y = 1/6x

Which is Better Lion ling action movie or The Cartoon Version? Explain your answer gets 25 Points!

Answers

Answer:

Cartoon

Step-by-step explanation:

Answer:

The cartoon lion king is way better. I say this because the action one is kinda creepy. I feel like Disney tried too hard to make it great, that it ended up not as good as it could be.

Step-by-step explanation:

Hope this is good enough!

Can someone help me, I forgot how to solve this

Answers

Answer:

y = mx + b

Step-by-step explanation:

Choose the equations that are equivalent. Select all that apply.
A. 52 = 8n +4
B. 42n + 1) = 52
C. 4 = 52 - 8n
D. 4n = 48

Answers

Answer:

A. 52 = 8n +4

C. 4 = 52 - 8n

Which are equivalent to 32 · 34 ? Check all that apply.
36
38
96
3-4 · 310
30 · 38
33 · 33
(3 · 2) · (3 · 4)
(3 · 3) · (3 · 3 · 3 · 3)

Answers

Using exponential properties, it is found that the equivalent expressions are given by:

[tex]3^6[/tex].[tex]3^{-4} \times 3^{10}[/tex][tex]3^0 \times 3^8[/tex].(3 · 3) · (3 · 3 · 3 · 3)

What happens in the multiplication of two terms with the same base and different exponents?

We keep the base and add the exponents, that is:

[tex]a^b \times a^c = a^{b + c}[/tex]

In this problem, we want an expression equivalent to:

[tex]3^2 \times 3^4 = 3^{2 + 4} = 3^6[/tex]

The equivalent expressions have the same result, hence, they are:

[tex]3^6[/tex].[tex]3^{-4} \times 3^{10}[/tex][tex]3^0 \times 3^8[/tex].(3 · 3) · (3 · 3 · 3 · 3)

More can be learned about exponential properties at https://brainly.com/question/234372

3^6 Or A

3^-4 · 3^10 or C

3^3 · 3^3 Or E

(3 · 3) · (3 · 3 · 3 · 3) Or H

Pls consider me for Brainliest!!

Help me plz i will give brainlest

Answers

Answer:

the answer should be (3,-2)

X/4=8
Solve that using the opposite operation

Answers

Answer:

x = 32

Step-by-step explanation:

4 • (x/4) = 8 • 4

x = 32

Step-by-step explanation:

[tex]\qquad\sf\dashrightarrow x/4=8 [/tex]

[tex]\qquad\sf\dashrightarrow x=4×8 [/tex]

[tex]\qquad\sf\dashrightarrow x=32 [/tex]

Please I need help
Write the equation for a parabola with a focus at (1,-4) and a directrix at x = 2.
X=?

Answers

Answer:

Step-by-step explanation:

The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.

For a left-opening parabola:

x = a(y-k)²+h,

a < 0,

vertex (h,k)

focal length p = 1/|4a|

focus (h-p, k)

directrix: x=h+p

Apply your data

focus (1,-4)

directrix x=2

vertex (1.5,-4).

focal length p = 0.5

a = -1/|4p| = -½

x = -½(y-2)²+ ½

6m+17-13+5n combine like terms

Answers

Answer:

hmmmm bilmim weantremlo ?

Step-by-step explanation:

= 6m +5n + 4

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you and plzzz.

what is domain and range because I got it wrong is not the right one

Answers

Answer:

You most likely got it wrong because you didn't plot all the points that are actually in the table, the domain and range are both right.

A car corporation produced 1980 fewer cars this month than last.
Write a signed number to represent this month's change in production.

Answers

Answer:

there was 1300 fewer cars so your answer would be -1300 :-)

Damian’s computer repair shop earned $2,500 in income last week. Expenses were $2,750. What was Damian’s profit or loss for the week?

Answers

Answer:

2500-2750 = - 250

hence,he lost $250

Find angle a.
You will get 20 points

Answers

Answer:

127

Step-by-step explanation:

15+38+a=180

a= 127

a=180-(15+38)
a=180-53
a=127

hope this helps !

The masses of 4 containers loaded on a ship are 28 tonnes,45 tonnes,16.8tonnesand 48500kg .What is 5he total mass in tones?

Answers

Step-by-step explanation:

first of all we have to change kg into ton= 48500kg into ton =53.462ton(48500/907.168)

after that we add all the weight of 4 container = 28+45+16.8+53.462

total will be his total mass of tones he had =143.262

Which expression is equivalent to 1/4(12x + 16) + 3x + 7

Please help!!!

a. 15/4x + 7
b. 15x + 23
c. 6x + 23
d. 6x + 11

Answers

Answer:

the answer is 6x+11

Step-by-step explanation:

1/4(12+16)+3x+7

1/4×4(3x+4)+3x+7

(3x+4)+3x+7

3x+4+3x+7

6x+11

answer quickly and quietly incorrectly please

Answers

Answer:

Your answer is

A & E

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

The selling price of an item is $600. It is marked down by 30%, but this sale price is still marked up
from the cost of $350. Find the markup from cost to sale price.
The markup is $ (Round to the nearest dollar as needed.)

Answers

Answer:

7000

Step-by-step explanation:

divide 600 and 30 then multiply that answer by 350

Answer:

Correct answer is 70 trust me

Step-by-step explanation:

Help help help help help help help help help

Answers

Answer: a: 23.4

Step-by-step explanation:

Answer:

A.23.4

Step-by-step explanation:

first find the volume of the tank 18x12x25=5400 then find how many gallons of water tank can hold 5400/231=23.4

hope this helps have a blessed day :)

Daniel debe $12.300 a Miguel y paga con un billete de $50.000 ¿cuanto dinero le devuelven ?

Answers

Answer:

37,700

Step-by-step explanation:

I believe that you do 50,000 - 12,300. That would get you to your final answer of 37,700. So Miguel has to give 37,700 back to Daniel.

Hope this helped you!

Answer:

Miguel devuelve a Daniel $ 37.70

Step-by-step explanation:

50 - 12.3 = 37.7

If
f(x) = x^2 + 2x - 4
and
g(x) = 3x + 1
Find
f(g(x)) = ?

Answers

Answer;

f (x) = 2x-4g (x) =x^2

Step-by-step explanation:

The solution is 9x² + 12x - 1

The composition function f ( g ( x ) ) is 9x² + 12x - 1

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

The value of f ( x ) = x² + 2x - 4

Let the second function be represented g ( x )

The value of g ( x ) = 3x + 1

Now , the composition function f ( g ( x ) ) is calculated by

Substitute the value of x as 3x + 1 , in f ( x ) , we get

f ( g ( x ) ) = f ( 3x + 1 )

f ( 3x + 1 ) = ( 3x + 1 )² + 2 ( 3x + 1 ) - 4

On simplifying the equation , we get

f ( 3x + 1 ) = ( 9x² + 6x + 1 ) + ( 6x + 2 ) - 4

f ( 3x + 1 ) = 9x² + 12x - 1

Therefore , the value of f ( 3x + 1 ) is 9x² + 12x - 1

Hence , the composition function f ( g ( x ) ) is 9x² + 12x - 1

To learn more about composition of functions click :

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The translation shown in the graph moves the figure to the right. What kind of translation is shown?

Answers

the figure go to the left

Find the slope!!!
Quickly please

Answers

Answer:

the slope is m= 2

Answer:

Step-by-step explanation:

Slope is (y1 - y2) / (x1 - x2) for any 2 respective x's and y's.

For any of the points here, you get 2.

Mark is reading a book with 96 pages. It takes him 4 days to read the book. He reads the same number of pages each day. How many pages does Mark read each day?

Answers

Step-by-step explanation:

he reads 24 pages a day

Answer:

24 pages per day

Step-by-step explanation:

Mark has a 96-paged book. It takes him 4 days to read the book.

[tex]\frac{pages}{day}=\frac{96}{4}= \frac{96/4}{4/4}= \frac{24}{1}=\boxed{24}[/tex]

Mark would read 24 pages per day.

Hope this helps.

Mary has a large sum of money to deposit, but since she has heard many stories from her grandmother about the Great Depression, when many banks lost their customers’ deposits, she is worried that the bank might not keep her money safe. Give Mary some recommendations about what she can do to make sure that her money stays protected.

Answers

Mary should make sure to choose a bank that is FDIC insured. Furthermore, if she has more than maximum deposit insurance amount to deposit, she should spread her deposits out among several separate banks. These should be totally different banks, not simply different branches of the same bank. The FDIC will insure up to the maximum deposit insurance amount at each bank, even if the bank fails.

PLZ HELP ME PLZ I NEED IT

Answers

Answer:

Step-by-step explanation:

The intersection occurs at the point (3,-3) so those are the coordinates.

Jada’s dog was 5 1/2 inches tall when it was a puppy. Now her dog is 14 1/2 inches taller than that. How tall is Jada’s dog now as a fraction?

Answers

Answer: 20 or 20/20

Step-by-step explanation: It equals a whole number.

Answer:

20/20

Step-by-step explanation:

so there is 5 1/2, you can add 14 1/2, 14 plus five equals 19, but you also have to add the two halves, which in total gives you 20/20.

Solve 11=h-14 please

Answers

Answer:

Step-by-step explanation:

25-14=11

Answer:

Step-by-step explanation:

11=25-14

Since 11+14 is 25 then h in 11=h-14 must be 25

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Provide reasons for the statements. Given: ∠1 and ∠3 are vertical angles. Prove: ∠1 ≅ ∠3 (See image for more details on the equation, please.)

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Provide reasons for the statements.

Given: ∠1 and ∠3 are vertical angles.

Prove: ∠1 ≅ ∠3

(See image for more details on the equation, please.)