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
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
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]
The age at which a person can be tried as an adult
Answers
Answer:
giyi
Step-by-step explanation:
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
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:
Find angle a.
You will get 20 points
Answers
Answer:
127
Step-by-step explanation:
15+38+a=180
a= 127
a=180-53
a=127
hope this helps !
Solve 11=h-14 please
Answers
Answer:
25
Step-by-step explanation:
25-14=11
Answer:
25
Step-by-step explanation:
11=25-14
Since 11+14 is 25 then h in 11=h-14 must be 25
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
Can someone help me, I forgot how to solve this
Answers
Answer:
y = mx + b
Step-by-step explanation:
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
Find the slope!!!
Quickly please
Answers
Answer:
the slope is m= 2
Answer:
2
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.
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.
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!
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.
Answers
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!
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.
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.
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
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
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
HELPPPPPPP pleaseeeee mathhhh
Answers
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
The pair of figures is similar. Use proportions to find the value of each variable.
Answers
Help me plz i will give brainlest
Answers
Answer:
the answer should be (3,-2)
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 :-)
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
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.
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!!
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
24
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.
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
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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.