Parallelogram Properties - Angles
Answer: x=30°
Step-by-step explanation:
A parallelogram always add up to 360°.
Opposite angles like F and H are always the same, so H=150°.
150+150=300 (what angles F and H add up to)
So we can do:
360-300=60
Now we know that the angle x and E have to add up to 60 but still be the same, so x will equal 30°.
We can check this by adding up all of the sides:
150+150+30+30=360°
Hope this helped :)
Solve by factorisation
2x2 + 3x - 20 = 0
Step-by-step explanation:
4 + 3x -20 = 0
3x - 16 = 0
3x = 16
x = 16/3
There are 130 people in a sport centre.
73 people use the gym.
62 people use the swimming pool.
58 people use the track.
22 people use the gym and the pool.
29 people use the pool and the track.
25 people use the gym and the track.
11 people use all three facilities.
Given that a randomly selected person
uses the gym and the track, what is
the probability they do not use the
swimming pool?
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
How many inches would a 3.5-foot object measure?
inches
How many feet would a 27-inch object measure?
Step-by-step explanation:
wow, how complicated can one phrase this ...
the point being :
1 ft = 12 in and vice versa (1 in = 1/12 ft)
so, any measurements given in feet but needed in inches need to be multiplied by 12.
and any measurements given in inches but needed in feet need to be divided by 12.
so,
3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in
27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft
Answer:When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
✔ m = 12f
How many inches would a 3.5-foot object measure?
✔ 42
inches
How many feet would a 27-inch object measure?
✔ 2.25
feet
Step-by-step explanation:
In a recent poll, 380 people were asked if they liked dogs, and 68% said they did. Find the Margin of Error for this poll, at the 90% confidence level. Give your answer to four decimal places if possible. * Preview syntax error Licen: Points possible: 1 Unlimited attempts.
The margin of error for the poll, at the 90% confidence level, is approximately ± 0.0252.
To find the margin of error for a poll, we need to consider the sample size and the confidence level. In this case, the poll had a sample size of 380 people, and we want to calculate the margin of error at the 90% confidence level.
The margin of error is determined using the formula:
Margin of Error = Critical Value * Standard Error
The critical value corresponds to the desired confidence level and can be found using a standard normal distribution table or a statistical calculator. For a 90% confidence level, the critical value is approximately 1.645.
The standard error is calculated as follows:
Standard Error = sqrt[(p * (1 - p)) / n]
where p is the proportion of respondents who answered positively (in this case, 68% or 0.68), and n is the sample size (380).
Substituting the values into the formula, we have:
Standard Error = sqrt[(0.68 * (1 - 0.68)) / 380]
Calculating the standard error:
Standard Error = sqrt[(0.2176) / 380]
Standard Error ≈ 0.0153
Now we can calculate the margin of error:
Margin of Error = 1.645 * 0.0153
Margin of Error ≈ 0.0252
Therefore, at the 90% confidence level, the margin of error for this poll is approximately ± 0.0252.
This means that if we were to repeat the poll multiple times and calculate the confidence interval each time, approximately 90% of the intervals would contain the true proportion of people who like dogs in the population. The margin of error indicates the range around the estimated proportion (68%) within which the true proportion is likely to fall.
In summary, the margin of error for the poll, at the 90% confidence level, is approximately ± 0.0252. This value represents the uncertainty associated with estimating the proportion of people who like dogs based on the sample data.
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What is x9y4 in the simplest form
Answer:
A
Step-by-step explanation:
\(\sqrt{xxxxxxxxxyyyy}\)
You can take out 4 pairs of x's and 2 pairs of y's. That leaves 1 x without a pair
\(x^{4}\)\(y^{2}\)\(\sqrt{x}\)
Helping in the name of Jesus.
help will give brainiest
A recursive arithmetic sequence a₁ = -4 and aₙ = aₙ₋₁ + 11,
a) the value of a₁ = -4
b) The value of d = 11
c) The iterative sequence of the arithmetic sequence is -4, 7, 18, 29, 40, 51, 62, 73, 84, 95...….
d) The value of a₁₀ is 95.
Arithmetic Sequence:
Arithmetic sequence terms refer the difference between consecutive terms is always the same.
Given,
Here we have the recursive arithmetic sequence a₁ = -4 and aₙ = aₙ₋₁ + 11.
And we need to find the following:
a) a₁
b) d
c) iterative sequence rule
d) a₁₀
While we looking into the given expression we have easily identified the value f a₁ is -4 and the value of common difference d is 11.
Now we have to find the iterative sequence, that is non other than the consecutive values of the arithmetic sequence,
it can be calculated as follows:
a₂ = a₂₋₁ + 11 = a₁ + 11 = -4 + 11 = 7
Similarly, the next value is calculated by adding 11 to its previous values,
So, the value of
a₃ = 7 + 11 = 18
a₄ = 18 + 11 = 29
a₅ = 29 + 11 = 40
a₆ = 40 + 11 = 51
a₇ = 51 + 11 = 62
a₈ = 62 + 11 = 73
a₉ = 73 + 11 = 84
a₁₀ = 84 + 11 = 95
Therefore, the iterative sequence is calculated by adding 11 to it and the sequence is -4, 7, 18, 29, 40, 51, 62, 73, 84, 95...…..
And the value of a₁₀ is 95.
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He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get to the end of the trail
Answer:
\(10x^2-x+3\) miles.
Step-by-step explanation:
It is given that,
Total length of park trail = \(10x^2+4x+2\) miles
Total length traveled by hiker = \(5x-1\) miles
We need to find the length of trail hiker need to travel to get to the end of the trail.
Required length \(=10x^2+4x+2-(5x-1)\)
\(=10x^2+4x+2-5x+1\)
\(=10x^2+(4x-5x)+(2+1)\)
\(=10x^2-x+3\)
Therefore, hiker need to travel \(10x^2-x+3\) miles to get to the end of the trail.
Test yourself
The triangle inequality says that for all real numbers x and y, _____________.
The triangle inequality states that for any two real numbers x and y, the sum of their absolute values is greater than or equal to the absolute value of their difference:
| x + y | ≥ | x | - | y |
or
| x + y | ≥ | y | - | x |
This means that the length of any side of a triangle must be less than or equal to the sum of the lengths of the other two sides. In other words, the shortest distance between two points is a straight line, and the direct path between two points is always shorter than the path that includes additional points.
This inequality is essential in geometry and helps in determining the feasibility of a triangle, especially in the calculation of the perimeter and area of the triangle. It also has applications in physics, engineering, and computer science, where it is used to analyze vector quantities and to establish the stability of various systems.
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Reduce the third order ordinary differential equation y-y"-4y +4y=0 in the companion system of linear equations and hence solve Completely. [20 marks]
To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:
Let u = y,
v = y',
w = y".
Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:
du/dx = y' = v,
dv/dx = y" = w,
dw/dx = y"'.
Now we can rewrite the given differential equation in terms of u, v, and w:
u - w - 4u + 4u = 0.
Simplifying the equation, we get:
-3u - w = 0.
This equation can be expressed as a system of first-order linear differential equations as follows:
du/dx = v,
dv/dx = w,
dw/dx = -3u - w.
Now we have a companion system of linear equations:
du/dx = v,
dv/dx = w,
dw/dx = -3u - w.
To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.
The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.
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is figure pqrstu a translation, reflection, or rotation? Explain your reasoning
PLEASE HELP ME
Answer: I'd say reflection
Answer:
It is a reflection
Step-by-step explanation:
In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
Which of the following is an acceptable way to express the useful life of a depreciable asset?a.Expected number of units to be produced by the depreciable asset b.Expected number of hours the depreciable asset will remain productive .c .Expected number of miles a depreciable vehicle will be driven d.Expected life in years of the depreciable asset
d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.
The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.
While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.
Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.
It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.
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what is 2 divided by 6
Answer:
2.333 repeating
Step-by-step explanation:
you divide 2 by 6 (srry i neede more characters)
you can do the repeat symbol by placing a slash over top of the 3rd 3
Adnan began with a number. he divided his number by 2, subtracted 6 from the quotient, took the square root of the difference, added 1 to the square root, and took the square root of the sum. his final result was 3. what was adnan's original number
Answer:
140
Step-by-step explanation:
To solve this, we must reverse all the steps Adnan took to get the final number of 3.
If the last thing he did was take the square root, we need to square 3 to get the result. \(3x^{2} =9\), so the sum they are referring to in the prompt is 9.
Before that, it says he added 1, so we need to subtract 9-1=8 to get the previous number.
It says that he took the square root before that, so we need to square 8 to get \(8x^{2} =64\).
It says that he subtracted 6 to get this number, so we have to add 6 to get\(64+6=70\).
Since the first thing Adnan did was divide his number by 2, we must multiply 70 by 2 to get Adnan's original number: \(70*2=140.\)
Adnan's original number was 140.
Hope this helps! :)
Leroy made $12.50 during his first day at his lemonade stand, $7.25 on his second day,
and $21.25 on his third day. On his fourth day he made 112% of the total amount he
made the previous three days combined. How much did he make on the fourth day?
Answer:
27.59
Step-by-step explanation:
1st day + 2nd day + 3rd day divided by 112% = 4th day
the distribution of scores on a standardized aptitude test is approximately normal with a mean of and a standard deviation of . what is the minimum score needed to be in the top on this test? carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer.
The minimum score needed to be in the top 5% on this standardized aptitude test is 7. The distribution of scores on a standardized aptitude test is approximately normal with a mean of and a standard deviation of. What is the minimum score needed to be in the top on this test?
In statistics, we assume that the distribution of scores on a standardized aptitude test is approximately normal with a mean of µ and a standard deviation of σ, where µ and σ are the parameters of the normal distribution. To calculate the minimum score needed to be in the top 5%, we must first determine the z-score corresponding to the top 5%.It is known that the area to the left of z is 0.95, which corresponds to the top 5%.
To find the z-score that corresponds to the 95th percentile, we can use a standard normal distribution table, such as the one found in most statistics textbooks or online. The table gives the z-score that corresponds to the given area to the left of the mean.Using the standard normal distribution table, we find that the z-score corresponding to the top 5% is approximately 1.645. This means that the score needed to be in the top 5% is 1.645 standard deviations above the mean. We can calculate this score using the formula:X = µ + zσwhere X is the score we are trying to find, µ is the mean, z is the z-score corresponding to the top 5%, and σ is the standard deviation. Substituting the values we know into this formula:X = + 1.645 × = + 6.58. Rounding to the nearest integer, we get X = 7.
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Help please! For highschool algebra! You will get 20 points and no links please :)
Answer: a. 12x+19
b. 67
Step-by-step explanation:
a. P=a+b+c+d
P=x+7+2x+2+8x+x+10
P=x+2x+8x+x+7+2+10
P=3x+9x+19
P=12x+19
b. P=12(4)+19
P=48+19
P=67
A rectangle has a perimeter of 53 feet and a base of 7.1 feet. What is the height?
Answer:
19.4
Step-by-step explanation:
Perimeter = 53 feet
P = 2L + 2H
L = 7.1 feet
2L + 2W = 53 feet
2*7.1 + 2w = 53
14.2 + 2w = 53
2W = 53 - 14.2
2W = 38.8
W = 38.8/2
W = 19.4
H = 19.4
if the observed t value exceeds the critical t value, then the difference between the sample means is most likely ____.
If the observed t-value exceeds the critical t-value, then the difference between the sample means is most likely statistically significant.
In other words, the difference between the sample means is unlikely to have occurred by chance and is likely due to a real difference in the population means. The direction and magnitude of the difference must be further examined using effect size measures and confidence intervals.
Therefore, the most suitable value to be fit in the blank space of the given incomplete statement is, statistically significant.
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Which of the following ordered pair is a solution of the equation x minus 2 y 6?
The ordered pair of the solution of the equation, x - 2y - 6 = 0 is d. (4,-1).
Solution of a Linear equation:The solution of a linear equation is the points or the set of all possible values for the variables that satisfy the specified linear equation is the solution set of the system of linear equations.
Here we have
Equation x - 2y - 6 = 0 ----- (1)
Now we need to find the solution to the equation from the given points
Substitute each given point in equation (1) and check which point will satisfy equation (1)
Checking For a. (2,4)
=> 2 - 2(4) - 6 = 0
=> 2 - 8 - 6 = 0
=> -12 ≠ 0
Checking For b. (0,3)
=> 0 - 2(3) - 6 = 0
=> - 6 - 6 = 0
=> -12 ≠ 0
Cheking For c. (-4,1)
=> - 4 - 2(1) - 6 = 0
=> - 12 = 0
=> -12 ≠ 0
Cheking For d. (4,-1)
=> 4 - 2(-1) - 6 = 0
=> 4 + 2 - 6 = 0
=> 0 = 0
By the above calculation,
The Equation x - 2y - 6 = 0 is satisfied only at d. (4,-1)
Therefore,
The ordered pair of the solution of the equation, x - 2y - 6 = 0 is d. (4,-1).
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Complete Question:
Which of the following ordered pairs is the solution of the equation
x - 2y - 6 = 0
a. (2,4) b. (0,3) c. (-4,1) d. (4,-1)
Find the sum. Express the answer in scientific notation.
(6.8 x 103) + (2.6 x 105)
Answer: multiply the numbers---
700.4+(2.6*105) = 700.4+273
973.4 the answer
Answer:
Answer is C
Step-by-step explanation:
first find out the exponents. 10^3 is 1000 so 1000x6.8 is 6800
Then 10^5 is one hundred thousand and 2.6 x one hundred thousand and u can figure it out cuz like AA i gotta do school
This is Math and Science together for My Ap class environmental science class picture is below please help
The study of population growth is important because it helps us understand the factors that drive changes in population size, and the impacts that population growth can have on the environment, economy, and human well-being.
Understanding population dynamics is essential for developing sustainable policies and managing natural resources effectively.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
always :)
Step-by-step explanation:
got it right
help me ans
should be well explained
Question 31.
Total number of pages in the book = 416Question 32.
Measure of the angle will be 60°Question 33.
Angle a = 65° Angle b = 55° Angle c = 60°Question 34.
decrease in consumption :
\( \dfrac{y}{5} \)decrease percentage in consumption :
\( (\dfrac{y}{5} \div y) \times 100\)\( \dfrac{1}{5} \times 100\)\(20 \%\)Shi ion even know loo
Answer:
1.6667
Step-by-step explanation:
Please help me, this is do any day now. Tysm! Brainliest to best answer! Find m <1.
(Attachment of the Figure is Displayed Below)
O 57 degrees
O 63 degrees
O 117 degrees
O 123 degrees
Answer:
1 = 123 degrees
Step-by-step explanation:
A Triangle = 180 degrees
A flat line = 180 degrees
To solve this, we need to figure out the triangle first :)
60 + 63 + t = 180
123 + t = 180
180 - 123 = 57
Now that we know the triangle, we can figure out x :)
180 - 57 = 123
1 = 123
Have an amazing day!!
Please rate and mark brainliest!!
I am confused on this can someone help?
Answer:
not a function
Step-by-step explanation:
it's not one to one
Solve -2/3x > 8 or -2/3x -12 or x -6} 3. {x | -12 < x < -6}
help if you can plzz
Answer:
you forgot the attachment
Step-by-step explanation:
333b7jk,,,,,,,7h79p;'/'][
Answer:
Step-by-step explanation: nmbgbhj ,vmxhvgvkhchvc vhkyfdcxvgch cggcfglfflfvhghghjb