Answers
b. Linear Pair
c. Definition of supplementary
d. Substitution; Combine like terms
e. Division Property of Equality
f. Definition of Right Angle
g. Definition of Perpendicular
=========================================
Further Explanations:
b. A linear pair is simply a result of cutting a straight angle into two pieces. They are adjacent and supplementary (add to 180 degrees)
c. If two angles are supplementary then they add to 180. This is simply a definition to memorize.
d. The "m < 2" is replaced with "m < 1" through the substitution property. This is possible because of statement (a) on the first line of the proof. The teacher has also combined like terms. Technically this step would require its own line.
e. Think of this as 2x = 180 solving to x = 90. The step done here is dividing both sides by 2, which uses the division property of equality. Alternatively you can use the multiplication property of equality to multiply both sides by 1/2 = 0.5
f. If an angle is 90 degrees, then by definition it is considered a right angle. This is another thing you memorize.
g. Also to be memorized is the fact that if two segments form a right angle, then they are considered perpendicular segments. The upside down T symbol means "perpendicular to"
Answer:
b) Linear Pair
c) Definition of supplementary
d) Substitution; Combine like terms
e) Division Property of Equality
f) Definition of Right Angle
g) Definition of Perpendicular
Related Questions
How many terms are in 8y+7z
Answers
there are 2 terms.
hope it helps
the equation of the quadratic function represented by the graph is y=a(x-3)^2-1. What is the value of a?
Plz help I don't understand how to solve.
Answers
Answer:
Value of a is 2
Step-by-step explanation:
Given the equation of the quadratic function represented by the graph is [tex]y=a(x-3)^2-1[/tex]. we have to find the value of a.
As seen in the figure, parabola cuts the graph at point (2,1) implies point (2,1) is one of the solution of the given quadratic equation i.e of given parabola.
∴ Point (2,1) satisfies the given equation.
Hence, we can find the value of a by putting the value of x and y, we get
[tex]1=a(2-3)^2-1[/tex]
⇒ [tex]2=a[/tex]
Hence, the value of a is 2
Answer:
2
Step-by-step explanation:
Have a good day :)
Graph image 1 for translation. one unit to the right
Answers
(x, y) = (x + 1, y)
We have then:
M (-3, 1) ---> M '(- 2, 1)
O (1, 4) ---> O '(2, 4)
P (3, -1) ----> P '(4, -1)
Answer:
The new vertices are
M '(- 2, 1)
O '(2, 4)
P '(4, -1)
Graph five (last from left to right) is the correct one.
Is my answer correct ?
I believe it’s either (B) or (C)
Answers
------------------------------------------------------------------
Divide 77 over 4 to get
77/4 = 19 remainder 1
The remainder 1 tells us that i^77 = i^1 = i
So in short, i^77 = i
a cylinder shaped paint can has a diameter of 10 cm and a height of 30. what is the volume of the paint can when it is 30% full? use 3.14 to approximate pi
WILL pick brainliest if correct!!!
Answers
.. = 3.14*(5 cm)^2*(0.30*30 cm)
.. = 706.5 cm^3
which best describes a number that cannot be irrational
Answers
Answer:
All numbers that can be made by dividing two integers cannot be irrational.Step-by-step explanation:
Irrational numbers are real number that cannot be expressed as the quotient between two integers, remember that integers are whole numbers, that is, they don't have a fractional part.
So, all numbers that can be made by dividing two integers cannot be irrational.
For example, number 3/2 is not an irrational number, because it can be expressed as the divison of two integers.
The graph of y = srtqx is translated. The translation is defined by (x + 1, y – 2). Which is the graph of the translated image?
Answers
Answer with explanation:
The graph of Original function is:
[tex]y=\sqrt{x}[/tex]
The function is translated by the rule (x+1, y-2).
After translation Point (a,b) is obtained.
a=x+1
,→x=a-1
b=y-2
→y=b+2
Substituting the value of x and y in the above function and obtaining the graph of the translated image
[tex]\rightarrow b+2=\sqrt{a-1}\\\\\text{Replacing a and b by x and y}\\\\\rightarrow y+2=\sqrt{x-1}[/tex]
Answer:
Graph B
Step-by-step explanation:
hope this helps!
(plz mark as brainliest if correct)
Help me please!!!!!!!!!!!!
Answers
The 2nd selection is appropriate.
Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival? 7c + 5g + 6 7c + 5g + 12 14c + 5g + 6 14c + 5g + 12
Answers
This makes a total of $12,-
(Since 6 x 2 = 12).
Next up, the ride at the carnival. This costs c dollars.
This makes a total of 14c
(Since they have made a total of 14 rides (7 each), and we multiply it by 'c')
Finally the game boots, which costs g dollars a game.
Denise and Stacey played a total of 5 games, hence the total cost of the boots will be 5g.
The total cost will therefore be: 14c + 5g + 12
This makes the fourth answer (in your question) the correct answer.
The correct answer is D. 14c + 5g + 12.
The entry fee is $6 each. 6 + 6 = 12
Each girl goes on 7 rides which cost c dollars. 7c + 7c = 14c
The number of games both girls play totals 5. And each game costs g dollars. 2g + 3g = 5g.
Add all the costs up and you get 14c + 5g + 12 as their total cost for going to a carnival.
Subtract and polynomials (3x^2+5x+7)-(-4x^2+3x-6 please help ASAP
Answers
Steps:
Rewrite Problem
Change all signs in the second parenthesis to the opposite sign
Combine Like Terms
blake is signing a lease for a studio apartment that rents for $425/month. how much will blake pay to move in if he must pay the first and last months rent and a security deposit equal to 50% of his monthly rent?
Answers
Total amount he needs to pay is $1,062.5
Sum of money based problem:Given that;
Rent of apartment = $425 / month
Security deposit = 50% monthly rent
Find:
Total amount he needs to pay
Computation:
Total amount of rent he needs to pay = 425 + 425 + 50%[425]
Total amount he needs to pay = 425 + 425 + 212.5
Total amount he needs to pay = $1,062.5
Find out more information about ' Rent'
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Write an equation in point-slope form of the line having the given slope that contains the given point. m=56m=56m (30,12)
Answers
We have a point (30, 12) and a slope of 56.
So we write [tex]y-12=56(x-30)[/tex]. And we're done.
If rectangle WXYZ is slid three units to the right what will be the coordinates of point W?
A) (0, 2)
B) (3, -1)
C) (3, 5)
D) (6, 2)
Answers
The correct answer is (D) (6, 2).
To find the new coordinates of point W after sliding the rectangle three units to the right, you need to add 3 to the x-coordinate of point W.
Given the initial coordinates of rectangle WXYZ, if the point W is at (x, y), then after sliding three units to the right, the new coordinates of W will be (x + 3, y).
Therefore, the correct answer is (D) (6, 2).
You sell bracelets for $2 each and necklaces for $3 each at a local flea market. You collect. $95, selling a total of 37 jewelry items. How many of each type of jewelry did you sell?
Answers
For an instance, b stands for the number of bracelets, n stands for the number of necklaces.
⇒ Total collected money is $95, $2 per bracelet, $3 per necklace
2b + 3n = 95 (first equation)
⇒ 37 jewelry items have been sold
b + n = 37
Find the number of necklaces (n) by eliminating the number of bracelets (b) from the equation system
2b + 3n = 95
b + n = 37 (multiply by 2)
----------------------------------------
2b + 3n = 95
2b + 2n = 74
---------------- - (substract)
n = 21
Find the number of bracelets by substituting the value of n to either of the equations
b + n = 37
b + 21 = 37
b = 37 - 21
b = 16
Type of jewelry have been sold: 16 bracelets, 21 necklaces
What is the sum of the series?
2+4+8+16+...+512
542
766
1022
1084
Answers
Answer:
The correct answer is 1,022. Hope this helps.
Source: Just took quiz and got 100%
Robin's scores: 99, 108, 102, 107, 119 mean = 107; mad = 5.2 evelyn's scores: 125, 137, 138, 145, 145 mean = 138; mad = 5.6 explain what the mean absolute deviation is in general. explain what the mad means in the context of robin and evelyn's data.
Answers
Answer:
The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.
Step-by-step explanation:
Answer:
Sample response: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.
Or
The MAD measures the average distance between a data point and the mean. It measures variation. According to this information, Evelyn's scores varied a little more than Robin's.
Step-by-step explanation:
Took the test on edge! Hope this helps! have a great day!
I need the answer to the blank questions
Answers
n 12 part a)
actual distance-------------> 124 miles
map distance----------------> 4 cms
scale factor of the map =124 miles/4 cms=31 miles/cm
n 12 part b)
map distance=21 cms
actual distance?
[actual distance]=[map distance]*factor scale-----------> 21*(31)=651 miles
n 13)
we know that
(13.5/9)=(x/8)--------------> x=(13.5/9)*8-----------> x=12 units
n14)
we have that
x/26=(32-x)/18-----------> 18x=832-26x--------> x=18.91 units
Five times what number plus 10 equals 20?
A) -6
B) 2
C) 4
D) 6
Answers
Answer:
2
Step-by-step explanation:
Five times 2 plus 10 will be equal to 20. Hence, option B is correct.
What is an arithmetic operation?Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the data provided in the question,
The equation according to the statement will be,
Let the number be x.
5x + 10 = 20
5x = 20 - 10
x = 10/5
x = 2
Therefore, the number is 2.
To know more about arithmetic operations:
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Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below: Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming? Mona's method is linear because the number of minutes increased by an equal factor every week. Sasha's method is exponential because it increases by an equal number every week. Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number. Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
Answers
Final answer:
Sasha's method of increasing swimming time is exponential, doubling each week, while Mona's method is linear, adding a fixed number of 10 minutes each week.
Explanation:
The question asks about the methods Sasha and Mona used to increase their swimming practice times over several weeks. Sasha's method is exponential because each week, the number of minutes she practices doubles, which is a fixed factor of increase. Every week, Sasha's swimming time increases by a factor of 2. Therefore, her increase is exponential. Mona's method is linear because she increases her swimming time by a fixed number of 10 minutes each week. Her increments are consistent and add the same amount each time, defining a linear pattern of increase.
3.6m by 1.8 m wall How many 6 cm by 6 cm pictures could fit on the wall?
Answers
(1.8*100)/6=30
60*30=1800
there are 1800 pictures could fit on the wall.
Answer:
1800 pictures could fit on the wall.
Step-by-step explanation:
If the area of a space is given as A and this space is to be filled by pictures of area A' then number of pictures will be = [tex]\frac{A}{A'}[/tex]
Now we know area of wall is A and area of picture is A'.
Length and width of wall = 3.6×1.8 m
So area of the wall A = 3.6×1.8 = 6.48 m²
Dimensions of one picture = 6×6 cm Or 0.06×0.06 m
So are of one picture A' = 0.0036 m²
Therefore, Number of pictures on the wall = [tex]\frac{A}{A'}[/tex] = [tex]\frac{6.48}{0.0036}=1800[/tex]
Number of pictures required to cover the wall = 1800
Which ordered pair is the best estimate for the solution of the system of equations?
y=−12x+4
y=12x−3
(7.5, 0.5)
(7, 0.5)
(7, 1)
(7, 0)
Answers
The 2nd selection is appropriate.
Answer:
hope this helps :)
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 3 . If there were 2817 no votes, what was the total number of votes?
Answers
so if there is 2817 votes in the no
==> (2817*4)/3 = 3756 votes for yes
3756/2817 will be 4/3
Fractions must have a common denominator in order to subtract them. TrueFalse
Answers
The numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.
To substract fractions, they must have a common denominator. There is two cases:
1. When the fractions have the same denominator, you just have to rewrite the denominator and substract the numerators. For example:
8/3-1/3=(8-1)/3=7/3
2. When the fractions have different denominators, you must calculate the Least commom multiple (LCM):
5/2-3/4
L.C.M.=2²=4
(10-3)/4=7/4
Answer:
true
A numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.
Rachael is a nurse. She earns 12 vacation days after working 768 hours. How many hours does Rachael need to work to earn 1 vacation day? Remember to include units! (Example: 12 hours)
Answers
Isabella spends $4.87 on paintbrushes and paint. How many of each item does she buy? Explain how you found your answer. Paint brush=$0.95Paint=$0.75
Answers
Let
x-----------------> number of paintbrushes----------- > $0.95 each
y---------------- > number of jar of paint-------------- > $0.99 each
we know that
0.95x+0.99y = $4.87
using a graph tool
the solution will be a pair of coordinates that are whole numbers -- > see the attached figure
the solution is the point (2,3)
x=2---------------------- > number of paintbrushes
y=3---------------------- > number of jar of paint
the answer is
number of paintbrushes=2
number of jar of paint=3
Alice had 4 1/4 pounds of walnuts at the beginning of the week. At the end of the week, she had 2 3/4 pounds. How much has she used
Answers
11/4 (2 3/4 as an improper fraction)
17/4-11/4=6/4=1 1/2
she used 1 1/2 pounds
In which of the following cases would you most likely buy a point when closing on a home loan?
Answers
Final answer:
Buying a point during a home loan closing is most likely to make sense if interest rates have fallen, you plan to stay in the home long term, and you have ample cash for upfront costs, as this could result in significant savings over the life of the loan.
Explanation:
When considering the question of whether you would most likely buy a point when closing on a home loan, the main factors to consider are the interest rates and the duration for which you plan to hold the loan. Buying a point refers to paying an upfront fee to lower your mortgage interest rate, which is attractive if you plan to stay in the home for a long period, as the savings on interest payments could outweigh the initial cost. You would be more inclined to buy a point if:
Interest rates in the economy have fallen, and you want to lock in a lower rate for the duration of your loan.
The available cash for upfront costs is sufficient to cover the cost of buying points without detrimentally impacting other financial commitments.
The assessment is that staying in the property for a long duration will allow for greater cumulated savings due to the reduced interest payments over time.
These scenarios are more likely to justify the transaction costs of purchasing a home with an upfront payment to buy points, thus securing a lower interest rate for the mortgage.
A certain human red blood cell has a diameter of 0.000007 meters. Write an expression that represents this diameter, in meters in scientific notation.
Answers
Given is the diameter of a human red blood cell equal to 0.000007 meters. It says to convert and rewrite this measurement in meters in scientific notation.
A scientific notation is written as product of a significant number and exponent of 10's. To find significant number from given 0.000007, we must move decimal point in either right or left direction such that it becomes integral value and in addition we would multiply some exponent of 10's to make its value equivalent to given 0.000007 meters.
Re-writing in scientific notation :-
0.000007 meters
= [tex] \frac{7}{1000000} \;meters [/tex]
= [tex] \frac{7}{10^{6}} \;meters [/tex]
[tex] =7*10^{-6} \;meters [/tex]
So, final answer is 7 x 10⁻⁶ meters.
a/b ∙ b/2a
or a≠0, b≠0
So a/b is a fraction. Then multiply by b/2a.
The a's and the b's aren't equal to zero
Answers
a/b*b/2a= ab/2ab or 1/a
1/a*b/2a=b/3a
The sales of homes in a new development have been increasing. In January, 8 homes were sold, in February, 12 homes were sold. In March, 16 homes were sold. This pattern continued for the remainder of the year.
What is the explicit rule that can be used to find the number of homes sold in the nth month of the year?
an=4n−4
an=−4n−4
an=4n+4
an=−4n+4
Answers
a1 = 8
For the second month we have:
a2 = 12
For the third month we have:
a3 = 16
Let's assume that n is the number of months.
The rule that meets the number of homes sold is:
an = 4n + 4
We observe for example that for the third month: (n = 3)
a3 = 4 (3) +4
a3 = 12 + 4
a3 = 16 (result that we already knew according to the statement).
Answer:
an = 4n + 4
Answer:
Answer:
an = 4n + 4
Step-by-step explanation: