Answers
Answer:
1. a || b ------ Given
2. m<6 = ⅛m<4 ------- Given
3. m<6 + m<4 = 180 ------- Supplementary Angles
4. m<6 + 8<m6 = 180 ---- Substitution
5. m<6 = 20; m<4 = 160 ----- Algebra
Step-by-step explanation:
Required
Fill in the gaps
1. a || b ------ Given
From the question, we understand that m<6 is ⅛ of m<4. This answers (2) as follows:
2. m<6 = ⅛m<4 ------- Given
From the attached figure, m<6 and m<4 are supplementary angles and they add up to 180. So:
3. m<6 + m<4 = 180 ------- Supplementary Angles
In (2): m<6 = ⅛m<4
Multiply both sides by 8
8 * m<6 = 8 * ⅛m<4
8m<6 = m<4
So, substitute 8m<6 for m<4 in (3). This gives (4)
4. m<6 + 8<m6 = 180 ---- Substitution
Solve (4) algebraically,
9m<6 = 180
Multiply both sides by ⅑
⅑ * 9m<6 = ⅑ * 180
m<6 = 20
Recall that m<4 = 8m<6
So:
m<4 = 8 * 20
m<4 = 160
Hence, (5) is
5. m<6 = 20; m<4 = 160 ----- Algebra
Related Questions
PLEASE HELP ASAP PLEASE An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, the store offers a free bottle of the additive to customers who drive SUV's, who then provide information about their gas mileage on the store website. A customer argues that the type of vehicle could be a confounding variable in this study.
Which statement best describes the effect of the confounding variable?
Because vehicles of different sizes may respond similarly to the additive, it should be easy to conclude whether the additive improves gas mileage.
Because vehicles of different colors may show differences in gas mileage, the additive may improve the gas mileage in some vehicles but not in others.
Because owners of different types of vehicles may choose not to use the additive, those vehicles will not show an improvement in gas mileage.
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.
Answers
Answer:
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.
Step-by-step explanation:
Edge 2021
Whether the addition increases gas mileage for all vehicles may be difficult to determine.
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.
The type of vehicle is a confounding variable because it is related to both the independent variable (use of the fuel additive) and the dependent variable (gas mileage), and it could potentially influence the results of the study if not controlled for.
This is because the size of the vehicle, a complicating variable, may alter gas economy independently of the addition, making it challenging to assess the additive's actual impact. As a result, the study's findings might be erroneous or misleading.
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HELPPPP PLEASEEEEEEEEWEE HELPPPPPPPP
Answers
Answer:
calculate the rise over the run.
therefore, it's -8/7
Topic: coordinate geometry
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What is the reciprocal of 2 3/5
Answers
Answer:
Please give me Brainlest if my answer it correct!
Step-by-step explanation:
⇒ they are asking to find reciprocal
=first the fractional form of is
⇒ 10+3/5
13/5
⇔now, the reciprocal of 13/5 is
= 5/13
At a garage, 820 cars were given a safety test. if 75% of them passed the safety test, how many cars were rejected?
Answers
Answer:
205 cars were rejected
Step-by-step explanation:
x 75
____ ____
820 100
cross multiply
100x=61500
simplify
x=615
820-615
anwer:205
hope it helps!
A teacher asked the class to write an expression that has two decimal factors and an estimated product of 30.
Which of these expressions have an estimated product of 30? Check all that apply.
9.7 × 2.84
10.1 × 28.8
6.25 × 4.76
35.3 × 1.92
Answers
Answer:
9.7 x 2.84 and 6.25 x 4.76
Step-by-step explanation:
i just got them right lol
Answer:
the first and third one
Step-by-step explanation:
i did edg.
I made a 3.5 hour phone call, it cost $10. How much would 1 hour be?
Answers
Answer:
1 hour would cost $0.35.
Step-by-step explanation:
Divide 3.5 by 10.
The zeroes of the function are
Answers
just solve these 2 its prob easy i just too lazy to even try or think at the moment, want to go to bed...
Answers
Answer:
The correct option is 'No Solution'.
Step-by-step explanation:
Given the system of the equations
[tex]y=\frac{1}{2}x-1[/tex]
[tex]2x-4y=12[/tex]
solving the system of the equations
[tex]\begin{bmatrix}y=\frac{1}{2}x-1\\ 2x-4y=12\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{1}{2}x-1[/tex]
[tex]\begin{bmatrix}2x-4\left(\frac{1}{2}x-1\right)=12\end{bmatrix}[/tex]
[tex]2x-4\left(\frac{1}{2}x-1\right)=12[/tex]
[tex]2x-2x+4=12[/tex]
[tex]4=12[/tex]
as
4=12 is false, therefore the system of equations has no solution.
Therefore, the correct option is 'No Solution'.
6. A music video website received 5.000
comments on a new song they released
The next day, the artist performed the song
on television and an additional 1500
comments were made on the website. What
was the percent of increase?
Answers
Answer:
30%
Step-by-step explanation:
To be able to calculate the percent of increase between two numbers, you have to divide the increase by the initial number and multiply by 100:
Increase= 1,500
Initial number=5,000
Percent of increase=(1,500/5,000)*100
Percent of increase=0.3*100
Percent of increase=30%
According to this, the answer is that the percent of increase was 30%.
What is the slope of y + 2 = -2(x-3)
Answers
Recall that the slope is represented by the letter m in the equation : y=mx+b
Work:
Answer: -2 is the slope of the equation.
Step-by-step explanation:
A professional volleyball
team won 28 games and
lost 22. What percent of
their games did they lose?
What fraction represents the
number of games they won?
Answers
Answer: Lost 44%, Games won: 28/50
Step-by-step explanation:
Percentage = (part / whole) * 100
The total number of games the team played is 28 + 22, which equals 50.
Percentage of losses = (22/50) * 100 = 44%
Fraction of wins = 28/50
Help me please!! I’ll mark as brilliant
Which graph represents the solution set of this inequality?
-11 - 2d >_ 1
Answers
Answer:
letter a is the correct answer
Answer:
Graph C
Step-by-step explanation:
Khan
BTW: its 100% correct
Which of the following best represents a linear proportional relationship?
Answers
A linear proportional relationship is shown by y = 3x - 7.
What is a linear relationship?We know that when we talk about a linear relationship, we mean the kind of relationship that would obey the equation of the straight line and the equation of the straight line would be y = mx + c
We have to look at the representations and see the one that actually fits into the model that have been shown above and when we look at it we can see that the y = 3x - 7.
This follows the pattern of the equation of the straight line.
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The best representation of a linear proportional relationship is the table of values
How to determine the best linear proportional relationship?From the question, we have the following parameters that can be used in our computation:
The list of options
As a general rule, the equation of a linear proportional relationship is represented as
y = kx
Where k is the constant of proportion
This means that the given equations are not proportional relationship because they do not have the form y = kx
i.e. y = 3x - 7 and y = 8x + 25 do not have the form y = kx
Also, the equation y = kx implies that the graph passes through the origin
So, the given graph is not
The equation of the table is represented as
y = Y/X * x
So, we have
y = 2/24 * x
This gives
y = x/12
The equation of the table is of the form y = kx
Hence, the solution is the table of values
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A student reads at a rate of 16 pages per day what ordered pair would be on a graph of this relationship
Answers
Answer:
(1,16) (2,32) (3,48) (4, 64) (5, 80) (6,94)
Which diagram has all of the correct lines of reflectional symmetry for the regular pentagon? A pentagon has 3 lines of reflectional symmetry. They intersect near the bottom of the figure. A pentagon has 5 lines of reflectional symmetry. They intersect in the center of the figure. A pentagon has 1 vertical line of reflectional symmetry. A pentagon has 3 lines of reflectional symmetry that intersect in the center of the figure.
Answers
Answer:
It is B
Step-by-step explanation:
Edge 2020
which expression is equivalent to the given expression. pls help :)
Answers
Answer:
B
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\(a^{m})^{n} =a^{mn}[/tex]
[tex]\frac{(4m^{2}n)^{2}}{2m^{5}n}=\frac{4^{2}(m^{2})^{2}n^{2}}{2m^{5}n}\\\\\\=\frac{16m^{4}n^{2}}{2m^{5}n}\\\\\\=\frac{8m^{4}n^{2}}{2m^{5}n}\\\\\\=8m^{(4-5)}n^{(2-1)}\\\\\\=8m^{-1}n[/tex]
PLZ HELP ME PLZ
PLZ
I WAN'T HELP
HELP PLZ
DUE AFTER 10 MIN
Answers
Answer:
I'll Help you
Step-by-step explanation:
I need help pls I’m really dumb
Answers
2- 464
5 - 1160
8 - 1856
The value of x must be greater than ________.
0
1
3
7
Answers
Answer:
Neither, x can be a negative number as well. If there is context, please post more to the question.
Step-by-step explanation:
Answer:
3 is the answer. Good Luck
Step-by-step explanation:
Yesterday, a movie theater sold 274 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all, the movie theater made $523 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.
Answers
thanks if you helped
Answers
The slope is 0
The line is a horizontal line
The line has no y-intercept
MARKING BRAINLIEST!!!!
Which of the following values of b makes 1/10= 4/b true?
A 20
B 5
C 40
D 14
Answers
Answer:
C 40
Step-by-step explanation:
1/10 = 4/b
1 x ? = 4 ?=4
10x4 = 40
4/40 = 1/10
Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?
Answers
Answer:
30
Step-by-step explanation:
50/100×60
0.5×60=30
30
The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below.
24 26 24 27
27 24 29 26
34 30 30 28
23 30 24 19
14 26 26 26
Find the median number of vehicles going through the line in a 15-minute period.
A: 27 vehicles B: 25.85 vehicles C: 30 vehicles D: 26 vehicles
Answers
Answer:
The correct answer is: Option D: 26 vehicles
Step-by-step explanation:
Median is the middle value of a sorted data set.
The formula for median depends on the number of values in the dataset.
First of all we have to arrange the given data in order
So,
14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34
Counting the values in the dataset
n = 20
As the number of values is even, the formula for median will be
[tex]M = \frac{1}{2}(\frac{n}{2}th\ value+(\frac{n}{2}+1)th\ value)[/tex]
Putting the values
[tex]M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)[/tex]
The 10th value in dataset is 26 and 11th is also 26 so
[tex]M = \frac{1}{2}(26+26)\\M = \frac{1}{2}(52)\\M = 26[/tex]
Hence,
The correct answer is: Option D: 26 vehicles
dult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 73.4 inches tall. (to 2 decimal places)
Answers
Answer:
The z score is 1.57
Step-by-step explanation:
μ = 69.0, σ = 2.8 and x = 73.4
The objective of the problem is to obtain the z-score of a man 73.4 inches tall. The required z score is derived through the following formula "{x - μ / σ}"
z = 73.4 - 69.0 / 2.8
z = 4.4 / 2.8
z = 1.571428571428571
z = 1.57
Thus, the z score is 1.57.
A function that is injective but not surjective
Answers
5x + 6y = 20 , 8x - 6y = -46
Answers
Answer:
5x + 6y = 20_____(1)
8x - 6y = -46_____(2)
Solving simultaneously:
Eqn(1) + Eqn(2)
5x + 8x + 6y + (-6y) = 20 + (-46)
13x = -26
x = -2
substituting this into Eqn (1):
5(-2) + 6y = 20
-10 + 6y = 20
6y = 30
y = 5
hence:
x = -2,y = 5.
Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , how tall would the stack be ?
Answers
Answer:
26 1/4
Step-by-step explanation:
1 3/4*15=26 1/4
If Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , then 105/4 is the tallness of the stack.
What is Multiplication?multiplication is a method of finding the product of two or more numbers.
Given,
Davis has 15 quarters
Each quarter is [tex]1\frac{3}{4}[/tex] mm thick.
We need to find the height, If Davis stacked up all 15 quarters on top of each other
This can be achieved by adding [tex]1\frac{3}{4}[/tex] for fifteen times or we can use multiplication.
We have to multiply 15 with [tex]1\frac{3}{4}[/tex] .
Firstly [tex]1\frac{3}{4}[/tex] is converted to improper fraction.
[tex]1\frac{3}{4}[/tex] =7/4
Now 7/4×15
=105/4mm
Hence 105/ 4 is the tallness of stack.
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What is the answer to 3x + 4x - 2x
Answers
Answer:
5x
Step-by-step explanation:
3x + 4x - 2x
7x - 2x
5x
And that's on periodt
Answer:
5x
[tex]3 + 4 - 2[/tex]
[tex]7 - 2[/tex]
[tex]5[/tex]
Solve for x in this equation: 3/4 + l 5-x| = 13/4
There are multiple other questions as well
Answers
2. im not sure if it means after taking away 3/4, but if it is, its 10/4
x=10/4 and -30/4 i believe, im not too good with fractions, sorry if its wrong :((
|5-x|=13/4-3/4
|5-x|=5/2
When you remove the absolute value on the left side, you have to put a plus or minus sign, +- on the right side.
5-x=+-5/2
Solve for the positive equation:
5-x=5/2
-x=-5/2
x=5/2
Solve for the negative equation:
5-x=-5/2
-x=-15/2
x=15/2
Solution: x= 5/2, 15/2