Answers
x = 33°
Then :-
m∠1 = 33° ( angle x and angle 1 are corresponding angles on a transversal )
Which means :-m∠1 + m∠2 = 90° ( angle 1 and angle 2 are complementary angles )
33 + ∠2 = 90
∠2 = 90 - 33
m∠2 = 57°
Then :-m∠1 + m∠3 = 180° ( angle 1 and angle 3 are a linear pair )
33 + ∠3 = 180°
∠3 = 180 - 32
m∠3 = 147°
Therefore , m∠1 = 33°m∠2 = 57° m∠3 = 147°Related Questions
Solve using substitution.
4x − 10y = 10
x = –10
Answers
Answer:
x=−10,y=−5
Step-by-step explanation:
One pound of candies costs $3.50.
a) How much will we have to pay for 3 lb?
b)How much will we have to pay for 4.5 lb?
c)How many pound of candies can be bought for $7?
d)How many pound of candies can be bought for $10.50?
Answers
Answer:
a). $10.50
b). $15.75
c). 2 POUNDS
d). 3 POUNDS
Step-by-step explanation:
Answer of option (a)=$10.50 , (b)=$15.75 , (c)=2 pound , (d)=3 pound.
What is cost?Cost is an amount to be spent to buy something or obtain something.
Given that,
The cost for one pound of candies is $3.50,
(a) The coast For 3 pounds of candies = 3.50×3=10.50
(b) The coast For 4.5 pounds of candies = 3.50×4.50=15.75
(c) For $3.50 ,1 pound candies can be bought, so for $7 , 2 pound candies can be bought (Since 3.50×2=7)
(d) For 3.50 , 1 pound candies can be bought, so for $10.50 , 3 pound candies can be bought (Since 3.50×2=7)
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plz help me thank you
Answers
Answer:
He added 7.5 instead of subtracting
Step-by-step explanation:
I'll Give brainliest to whoever answers is correct
Answers
Answer:
52
Step-by-step explanation:
RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.
Answer:
52 degrees
Step-by-step explanation:
right angle = 90
90-38=52
So RTQ = 52 degrees
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
Answers
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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Use a unit multiplier to convert 18 inches per minute to inches per hour.
Answers
Unit Multiplier
There are 60 minutes in one hour.
If an object covers 18 inches in one minute, it's evident that it will cover much more distance in one hour.
Thus, the unit multiplier to make the conversion is 60.
18 * 60 = 1080 inches per hour
0.5 kilograms (kg) is equal to how many ounces? Round your answer to the
Answers
Answer:
17.637 ounces
Step-by-step explanation:
35.274 ounces is 1 kilogram so divide 35.274 by 2
What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary.
x = ____
y = ____Choose matching definition
a. (-3.5, 2.3)
b. (1.2, -4.7)
c. -2.6
5.2
d. (-4, -5)
Answers
The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 are (-2.6,5.2).
A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A ray has only one endpoint and an endlessly long another end, as opposed to a line segment that has two ends.
If a point (x,y) divides the line segment joining the points A(x1,y1) and B (x2,y2) is in the ratio m:n, then
\(x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\\)
Here,
m:n = 3:10
The endpoint of line AB are at: A(-4,8) and B(2,-4)
We substitute the given values to obtain:
x= 3*2+10*(-4)/3+10
x= -34/13
x= -2.6
and
y= 3*(-4)+10*(8)/3+10
y= 68/13
y= 5.2
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Which expression could help you find the distance
between (10, 4) and (-6, 4)?
O [10] +1-41
O 1101 +141
O 1-61 +141
O |10| +-61
Answers
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
Correct Expression :
\(\qquad \tt \rightarrow \: |10| + | - 6| \)
\(\qquad \tt \rightarrow \: distance = 16\:\: units\degree\)
____________________________________
\( \large \tt Solution \: : \)
\( \textsf{Using distance formula -} \)
\(\qquad \tt \rightarrow \: \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } \)
\(\qquad \tt \rightarrow \: \sqrt{( - 6 - 10) {}^{2} + (4 - 4) {}^{2} } \)
\(\qquad \tt \rightarrow \: \sqrt{( - 16) {}^{2} + 0} \)
\(\qquad \tt \rightarrow \: \sqrt{256} \)
\(\qquad \tt \rightarrow \: 16 \: \: units\)
For short it can be expressed as :
\(\qquad \tt \rightarrow \: |10| + | - 6| = 10 + 6 = 16\)
[ y - coordinate of both the points are same ]
Correct option - D
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Tommy made $55 for mowing 5 lawns. How much money would he make for mowing 8 lawns?
Answers
If y varies directly as the square of x and Y = -54 when x = 9, then Y = -1
when x = 6
3
Please select the best answer from the choices provided
True
False
Answers
Answer: false
Step-by-step explanation:
i just took the quiz and made a 60 so pls don’t be like me and fail it ;-;
what is the greatest common factor of
8x - 12
Answers
Answer:
4
Step-by-step explanation:
8x - 12
4(2x - 3)
Plot the x- and y- intercepts to graph the equation.
y= -1/2x - 3
Answers
Step-by-step explanation:
work is shown and pictured
PLSSS HELP. Is 23456 x 10^4 written in Scientific Notation? If not, rewrite it in Scientific
Notation.
Answers
Arrange the steps in order to simplify the expression
Answers
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
the ratio of students to teachers was 8 to 5 if there were 1400 students how many teachers are there?
Answers
Answer:
There would be 875 teachers.
Step-by-step explanation:
8/5 equals 1.6.
1400 students / 1.6 = 875 teachers.
To check your work: 1400 students / 875 teachers = 1.6, which is the same ratio as 8 to 5.
Hope this helps!
Answer:
875
Step-by-step explanation:
8 units=1400
1unit=1400÷8=175
5units=875
or u can also write:
1400÷8×5=875
To earn an A in your Algebra class, you must achieve an unrounded test average between 92 and 96. You scored 96, 90, 92, 90 on your first four tests of the grading period. What is the possible score can you earn on the fifth and final test to earn an A in the class?
Answers
Answer:
It would have to be 92 or higher!
Step-by-step explanation:
If it is lower than 92, then your current grade average, which is already a 92 ( You would figure that add by adding them and dividing by four), will lower. This question was pretty simple, and didn't call for a definite answer, but I hope this was useful for you!! i'm here if you need more help!!!
Square roots of 19 + 6 squared divided by 7.2 squared
Answers
Step-by-step explanation:
square root of 19 + 6 =324 + 36= 360
360÷51.84 =6.9444444
From the application of mathematical rules, BODMAS, the square roots of 19 + 6 squared divided by 7.2 squared ≈ 5.053343388
Applying BODMASSquare root of 19
√19 ≈ 4.358898944
6 squared
6² = 36
7.2 squared
7.2² = 51.84
Dividing,
36 ÷ 51.84
≈ 0.694444444
Addition,
4.358898944 + 0.694444444
≈ 5.053343388
Therefore,
√19 + 6² ÷ 7.2²
≈ 4.358898944 + 0.694444444
≈ 5.053343388
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4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
Answers
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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2. Increasing the minimum wage has not traditionally caused massive unemployment though traditional economists have argued that it should. Why have changes to minimum wage not affected unemployment too much?
3. The US has one of the lowest federal minimum wages compared to other developed nations. Can you think of reasons why this might be?
4. The real minimum wage has fallen over time with the rise of inflation. This represents less purchasing power for minimum wage workers. Are you ok with that? Why or why not? How many people actually earn at or near minimum wage?
Answers
Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.
There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.
I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.
According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.
~~~Harsha~~~
3. One reason why the US has one of the lowest federal minimum wages compared to other developed nations is because of the country's historical emphasis on individualism and free-market capitalism. Many Americans believe that the government should not interfere too much in the economy and that wages should be determined by market forces rather than government regulations. Additionally, some argue that a higher minimum wage would lead to higher prices and inflation, which could hurt the economy as a whole.
4. it could be argued that a falling real minimum wage represents a failure of the system to provide for the basic needs of its citizens. Minimum wage workers may struggle to make ends meet, which can lead to a host of social and economic problems. In terms of the number of people who earn at or near minimum wage, this varies by location and industry, but it is estimated that around 2.3% of US workers earn the federal minimum wage or less.
I rent a gym for $150 for 30 students. Another time I rent the gym for $350 for 70 students. What is my rate per student?
Answers
Answer:
The rate is 5 dollars per student.
Step-by-step explanation:
The rate per student can be found with \(\frac{dollars}{student}\):
\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)
The rate is 5 dollars per student.
A person is parasailing. The length of the chord connecting the person to the boat is 400 feet long and the
person looks down at angle of depression of 36° to see the boat. How high up is the parasailer?
Answers
The answer to this question is that the parasailer is 600 feet high. To solve this problem, we can use the tangent of the angle of depression to calculate the height of the parasailer.
What is angle of depression?Angle of depression is the angle between the horizontal line of sight and the line of sight to an object below the horizontal line. It is used to measure the height of an object from the observer's point of view. It is used to measure the angle between the observer and an object located below the observer. It is sometimes referred to as the inverse of the angle of elevation.
The formula for the tangent of an angle is opposite/adjacent. In this case, the opposite side is the height of the parasailer, and the adjacent side is the length of the chord. Therefore, the equation becomes height/400 = tangent (36°).
Solving for the height, we get height = 400 * tangent (36°). Plugging in the value of the tangent (1.732050808) gives us a height of 692.82 feet.
However, since the question specifies that the length of the chord is 400 feet, the answer should be rounded off to the nearest whole number, which is 600 feet. Therefore, the parasailer is 600 feet high.
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 14 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answers
Answer:
\(x=30\\y=68\\z=82\)
Step-by-step explanation:
x = measure of the first angle
y = measure of the second angle
z = measure of the third angle
The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)
\(y+z=5x\)
The third angle is 14 more than the second
\(z=y+14\)
And remember that the sum of these three angles must be equal to 180.
\(x+y+z=180\)
Let's take these equations
\(y+z=5x\\z=y+14\\x+y+z=180\)
If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....
\(x+y+z=180\\x+(y+z)=180\\x+(5x)=180\)
Distribute the + sign
\(x+5x=180\)
Combine like terms;
\(6x=180\)
Divide by 6.
\(x=\frac{180}{6}\\ x=30\)
We have now defined that the measure of the first angle is 30º.
Let's take another equation... for example \(z=y+14\)
I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.
\(x+y+z=180\\30+y+(y+14)=180\)
Distribute the + sign and Combine like terms;
\(30+y+y+14=180\\44+2y=180\\\)
Subtract 44 to isolate 2y.
\(2y=180-44\\2y=136\)
Now divide by 2.
\(y=\frac{136}{2}\\ y=68\)
We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.
\(x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82\)
Solve 2(2x-5)=3x+x-2x
Answers
Answer:
5=x
Step-by-step explanation:
Q=2(2x-5)=3x+x-2x
SOLUTION:
4x-10=4x-2x
-10=2x-4x
-10= -2x
(-+-=+ so 10 and 2 are positive now)
10/2=x
5=x
i really need some help with this.
Answers
Answer:
the correct answer is 1/2
sparkles charge $31.50 per hour for labor, but with tax, it comes to 33.45, What is the tax percentage?
Answers
Answer:
6.18%
Step-by-step explanation:
31.50 x 6.18 = 33.45
Answer:
The tax percentage is 5.82959641256% (Round this number to however you want)
Step-by-step explanation:
31.5/33.45 = 0.94170403587
0.94170403587*100 = 94.1704035874
100 - 94.1704035874 = 5.82959641256
A cylindrical garbage can has the dimensions shown.
A cylinder has a diameter labeled twelve inches and height labeled fifteen inches.
What is the area of the horizontal cross section of the cylinder? Use 3.14 for π.
Answers
Answer:
113.04 square inchesStep-by-step explanation:
Horizontal cross-section of a cylinder is a circle with same dimension as its base
Given diameter
12 inchesArea formula
A = πr² = πd²/4So the area of cross section is:
A = 3.14*12²/4 = 113.04 square inchesM = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
Answers
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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plz help with these 2 thank you
Answers
Answer:
1 find the value of x graph. i thinks x is 5-3
2 cant help you there.
Step-by-step explanation:
9514 1404 393
Answer:
x = 9/2x = 5Step-by-step explanation:
1. Substitute for k(x) and solve.
k(x) = 6x -12
15 = 6x -12 . . . . substitute for k(x)
27 = 6x . . . . . . add 12
27/6 = x = 9/2 = 4 1/2 . . . . . divide by 6
__
2. Find f(x) = 7 on the vertical scale. Follow that horizontal line over to the graph. Follow the vertical line at that intersection down to the x-axis. It will be halfway between the lines marked 4 and 6. That is, the x-value is 5.
f(x) = 7 = f(5)
x = 5
A study was conducted to explore the effects of ethanol on sleep time. Fifteen rats were randomized to one of three treatments. Treatment 1 got only water (control). Treatment 2 got 1g of ethanol per kg of body weight, and treatment 3 got 2g/kg. The amount of REM sleep in a 24hr period was recorded, in minutes: Treatment 1: 63, 54, 69, 50, 72 Treatment 2: 45, 60, 40, 56 Treatment 3: 31, 40, 45, 25, 23, 28
A) Graph the data. Why did you choose the graph that you did and what does it tell you?B) Create an ANOVA table for the data using the formulas provided in class. C) Evaluate the ANOVA assumptions graphically. Was ANOVA appropriate here?D) Based on the ANOVA table, make a conclusion in the context of the problem.E) Create 95% CIs for all pairwise comparisons of means using the Tukey method.
Answers
Answer: Find answer in the attachment
Step-by-step explanation:
