A statement and portions of the flowchart proof of the statement are shown.
Which reason should appear in the box labeled 1?
Ruler Postulate
Angle Addition Postulate
Linear Pair Postulate
Angle Congruence Postulate
Answers
m<BAD = 20 + 15
m<BAD = 35
Angle Addition Postulate
answer
Angle Addition Postulate
Answer :- Angle addition postulate is the reason which should appear in the box labeled 1.
Explanation:-
Angle addition postulate states that for a given angle ∠AOC if P is interior of ∠AOC then ∠AOC=∠AOP+∠POC.
In the given figure it can be seen that
C is interior of ∠BAD then by angle addition postulate
∠BAC+∠CAD=∠BAD which in box 1.
Thus the second option is correct . "Angle Addition Postulate" is the reason which should appear in the box labeled 1.
Related Questions
what are the steps to
2 divided by 1054
Answers
Kyra is particapatiog ina fundraiser walk a thon she walks 2 miles in 30 minutes if she continues to walk at the same rate determine how many minutes it will take her to walk 7 miles use a double line diagram to support your answer. PLEASE HELP ME I LOVE U IF U HELP ME
Answers
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account?
Answers
The ending balance would be (-8.23).
What is unitary Method?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.
Given:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
After deposit her balance would be
=126.89 + 21.49
=148.38
and, the balance after paying for the repair
=148.38 - 156.61
=$ (-8.23)
Hence, the ending balance would be (-8.23).
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A jug holds 4.8 liters. How many milliliters does it hold?
Answers
4.8 liters to mL = 4800 milliliters
4.8 liters to milliliters = 4800 mL
Answer: 4,800 mL
we know that
[tex]1\ liter=1,000\ milliliters[/tex]
so
By proportion
Find how many milliliters are [tex]4.8\ liters[/tex]
[tex]\frac{1,000}{1} \frac{ml}{l} =\frac{x}{4.8} \frac{ml}{l} \\ \\ x=1,000*4.8\\ \\x=4,800\ ml[/tex]
therefore
the answer is
[tex]4,800\ milliliters[/tex]
Is 10/11 rational or irrational? (10/11 = 0.909090)
Answers
Therefore, 10/11 is a rational number.
On the album 1989 by Taylor swift, Blank space is 12 seconds longer than shake it off. If the combined time of the two songs is 7 minutes and 30 seconds, how long is Shake It Off? Give your answer in minutes and seconds.
Answers
Source: Wikipedia
Answer:
Givens:
Blank Space is 12 sec longer than Shake It Off.The duration combined is 7 minutes and 30 seconds, which is 420 seconds.Lest's call [tex]B[/tex] Blank Space and [tex]S[/tex] Shake it Off, the relations would be
[tex]B=12+S\\B+S=420[/tex]
Now, we replace the first equation into the second equation and solve for [tex]S[/tex]:
[tex]12+S+S=420\\2S=420-12\\2S=408\\S=\frac{408}{2}=204[/tex]
Then, we replace this value into the first equation
[tex]B=12+S\\B=12+204=216[/tex]
This means that Shake It Off is 204 seconds long and Blank Space is 216 seconds long.
Therefore, if we express in minutes and seconds, we would have:[tex]204sec\frac{1min}{60sec}=3.4min=3 \ min \ and \ 24 sec[/tex]
[tex]216sec\frac{1min}{60sec}=3.6 min=3 \ min \ and \ 36 sec[/tex]
What is (-8)to the power of 2 equal??
Answers
(-8)(-8)
64
Hope this helps!
(-8)^2 means -8 x (-8).
The answer to this would simply be:
-8 x (-8) = 64
Because a negative number is being multiplied by another negative number, the answer becomes a positive number.
I hope this helps you! Have a great day!
Are the opposites of -6.5 and the absolute value value -6.5 the same
Answers
please help
ok it's blurry sorry
Answers
12.99 + 2.10b = 21.39
Subtract 12.99 from each side to get:
2.10b = 8.4
Then divide to find the amount of bottles:
b = 4 bottles
Hope this helps!! :)
8.4 - 2.10b = 0
8.4 = 2.10b
8.4/2.1 = 2.10b/2.1
b = 4
hope this helps
your answer is A
What are factors and can you give me an example of an expression and it's factors
Answers
8
x
8x8, x, the factors are
8
88 and
x
xx.
In the term
Ex: 7 is a factor of 21 since 7×3=21
PLEASE HELP!
A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would have an A for the test! How many students are there in that class?
Answers
1/2x - 2/3x = -1
-x/6 = -1
x = 6
Hope this helps!
6 students are there in a class.
What is an example of a word problem?Word problems normally include mathematical modeling questions, in which records and statistics approximately a certain system is given and a pupil is needed to broaden a model. as instance: Jane had $5.00, then spent $2.00. How lots does she have now?
What are word problems referred to as?In computational mathematics, word trouble is the hassle of finding out whether given expressions are equivalent with admire to a hard and fast of rewriting identities. A prototypical instance is the word problem for corporations, but there are many other instances as nicely.
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A one-minute advertisement on a local television station during prime time (8- 10 p.m. on weeknights) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis and Giant Ones.
Answers
Time = 2 hours, 8 - 10 pm
Cost per hour = ($12800)/(2) = $6400 per hour
There are 60*660 = 3600 seconds per hour.
Therefore the cost per second is
($6400)/(3600 s) = $1.7778 per second = $1.78 per second (nearest cent)
Answer: $1.78 (nearest cent)
The cost of the advertisement per second is $213.33 to the nearest cent.
Explanation:To find the cost per second of the advertisement, we need to convert the cost from dollars per minute to dollars per second. We can use dimensional analysis to do this.
First, we know that there are 60 seconds in one minute. So, we can set up a conversion factor to convert from minutes to seconds:
1 minute = 60 seconds
Next, we set up a ratio using the given cost per minute and the conversion factor:
$12,800/1 minute * 1 minute/60 seconds = $213.33/second
Therefore, the cost of the advertisement per second is $213.33 to the nearest cent.
Raj's hourly wage is 5.50. He already saved 68 dollars for a $200 video game system. How many hours does Raj need to work to earn the remainder of the money he needs to buy the video game system?
Answers
5.50x=132
x=24
Raj needs to work 24 hours to earn the remainder of the money he needs to buy the video game system.
Is sarah is 24 years younger than her mom and if the sum of their age is 68 how old is sarah?
Answers
Santiago receives an allowance of 7$ every week
How much total does he receive after 4 weeks
Answers
7 * 4 = $ 28 <==
Can someone help pleases
Answers
If a perimeter of a room is 78 feet, what is the area of the floor of the room?
There is a rectangular diagram with the longer written "2w+3"and shorter side has "w" written.
Answers
writing an inequality for x that would give this rectangle a perimeter of at least 300 ft.
Length: 3ft
width formula: x+5ft
please show steps!
Answers
Answer:
142≤ x.
Step-by-step explanation:
Given : rectangle a perimeter of at least 300 ft and Length: 3ft and width formula: x+5ft.
To find : Writing an inequality for x that would give this rectangle a perimeter.
Solution : We have given length = 3 ft.
Width = x + 5 ft .
Perimeter = 300 feet .
Perimeter = 2 ( length + width ) .
Plugging the values and greater than equal to sign for at least.
300 ≤ 2( 3 + x +5).
300≤ 2( 8 +x) .
300≤ 16 + 2x
On subtracting both sides by 16.
300 -16 ≤ 2x .
284 ≤ 2x.
On dividing both sides by 2.
142≤ x.
We can say x is at least 142.
Therefore, 142≤ x.
In 1990, one city’s population was 98,064. In 2000, the same city’s population increased by 13,434. In 2010, the city’s population increased by another 7,892.
What was the city's population in 2010?
Answers
The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?
Answers
Answer: 10 in.
Step-by-step explanation:
Given : The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph.
We can write 200% = 2 [ ∵ to convert percent into decimal or fraction we divide it by 100 and [tex]200\div100=2[/tex] ]
Since , The original photo has a width of 5 in.
Then, the width of the copy will be :-
[tex]2\times5=10\ in.[/tex]
Hence, the width of the copy will be 10 in.
Grace sold 5/8 of her stamp collection. What is this amount as a decimal?
Answers
Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold. Which expression represents the total amount Tony earns from selling blankets?
Answers
The total amount he earns is 12x....where x is the number of blankets
~~~~~~~~The answer IS 12x~~~~~~~~
Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.
How many of his triangles are obtuse?
(a.)1
(b.)2
(c.)3
(d.) 4
Answers
The number of obtuse triangles from the information will be 3.
What is an obtuse triangle?
It should be noted that an obtuse triangle is a triangle with one obtuse angle that is greater than 90° and two acute angles.
Given that, Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
In this case, Jamel is asked to create triangles using three or four given sticks. In an obtuse triangle, the square of the third side is always greater than the sum of the two sides.
Therefore, By the given numbers there can be made 4 triangles having sides:
1) 3, 6, 7
3) 3, 7, 8
4) 3, 6, 8
Therefore, the correct option will be 3.
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Yuna missed 5 points out of 100 on her math test.What decimal number reprents the part of her math test that she answered correctly
Answers
Answer:
0.05
Step-by-step explanation:
Given function:
5 of 100find the decimal number1.00=100%=100
this means..
5 of 100=0.05.
The cover of a photo album has an area of 97.5 square inches. Find its area in square centimeters.(1cm =
0.3937 inches)
Answers
Answer: [tex]629.031 \text{ square centimeters}[/tex]
Step-by-step explanation:
Given : The cover of a photo album has an area of 97.5 square inches.
It is given that 1 cm = 0.3937 inches
By unitary method , 1 inch=[tex]\dfrac{1}{0.3937}=2.54000508001\approx2.54 \text{ cm}[/tex]
Then, 97.5 square inches =[tex]97.5\times2.54\times2.54[/tex]
[tex]\\\\=629.031\approx629.031 \text{ square centimeters}[/tex]
Hence, The required answer is[tex]629.031 \text{ square centimeters}[/tex].
Pls help me with grade 2 ecuation
2x square-5x+2=0
Answers
x² - 5/2 x + 1 = 0
now we're looking for two numbers that, when multiplied, give 1, and when added, give -5/2. Those numbers are -2 and -1/2 (this is the hard part, it is kind of trial and error. Usually you want to do this only on integers).
So we can factor as:
(x-2)(x-1/2) = 0
The solutions are x=2 or x=1/2
The solutions are x=2 or x=1/2
Write 36 as a product of its prime factors write the factors in order, from smallest to largest
Answers
If ABCD is a parallelogram, what can we say about the diagonals BD and AC?
A.They're congruent to sides AD and BC
B. They bisect each other
C. They're congruent to sides AB and DC
D. They're congruent
Answers
This is because they all sides are congruent and the same length :D
Hope this helps :D
Answer: The answer is D
Step-by-step explanation:
A crane cable can support a maximum load of 22,000 kg. If a bucket has a mass of 5,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel can safely lifted by the crane?
Answers
Final answer:
The crane can safely lift approximately 11.33 cubic meters of gravel, taking into account the maximum load the cable can support and the mass of the bucket and gravel.
Explanation:
We need to calculate the maximum volume of gravel a crane cable can lift, given the maximum load it can support. The crane's cable can support a maximum load of 22,000 kg. Since the bucket that carries the gravel has a mass of 5,000 kg, we subtract this mass from the maximum load the cable can support to find the maximum mass of gravel that can be lifted:
22,000 kg (max load) - 5,000 kg (bucket mass) = 17,000 kg (max gravel mass)
Given that 1 cubic meter of gravel has a mass of 1,500 kg, we can calculate the volume of gravel that can be safely lifted by the crane by dividing the maximum gravel mass by the mass of gravel per cubic meter:
17,000 kg (max gravel mass) ÷ 1,500 kg/m³ (gravel density) = 11.33 m³
Therefore, the crane can safely lift approximately 11.33 cubic meters of gravel.
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
Answers
rewrite it:
y = -x^2+4x+7
complete the square:
y = -(x-2)^2 + 11
vertex: (2,11)
the axis of symmetry is the coordinate of x, i.e. x=2
Answer:
axis of symmetry at x=2
Step-by-step explanation:
[tex]y - 4x = 7 - x^2[/tex]
LEts solve for y
Add 4x on both sides
[tex]y=- x^2+4x+7[/tex]
To find axis of symmetry we use formula
[tex]x=\frac{-b}{2a}[/tex]
the equation in the form of ax^2 + bx+c
a= -1 , b= 4
Plug in the values
[tex]x=\frac{-4}{2(-1)}=2[/tex]
So axis of symmetry at x=2