Triangle ghi is rotated 90degrees clockwise and then reflected over the y-axis. which congruency statement is true? on a coordinate plane, triangle g h i is rotated 90 degrees clockwise and then is reflected over the y-axis.
Answers
The exact positions of the new vertices after rotation and reflection would depend on the original coordinates of G, H, and I.
After rotating triangle GHI 90 degrees clockwise and reflecting it over the y-axis, we can determine the congruency statement.
When a triangle is rotated 90 degrees clockwise, its vertices change their positions. In this case, vertex G would move to a new position, vertex H would move to the position of G, and vertex I would move to the position of H.
After that, when the triangle is reflected over the y-axis, the x-coordinates of the vertices change their signs. So, the congruency statement would be as follows:
Triangle GHI, after rotating 90 degrees clockwise and reflecting over the y-axis, is congruent to triangle G'H'I', where G' corresponds to the new position of G after the rotation and reflection, H' corresponds to the new position of H, and I' corresponds to the new position of I after the rotation and reflection.
Note that the exact positions of the new vertices after rotation and reflection would depend on the original coordinates of G, H, and I.
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Related Questions
What is the measure of angle LPM if angle QPN=36 ?
Answers
Solve the equation.
−10=−b4
Answers
Answer:
b = 1.778279, −1.778279
Step-by-step explanation:
-10=b4 <----- Write your equation out
-10=\(\frac{b4}{4}\) <----- Divide b4 by 4 to get b by itself.
\(\frac{-10}{4}\)=b <----- Divide -10 by 4 because what you do to one side, you mjst do to the other.
-2.5=b <----- There is your answer; -2.5
PLS HELP THIS IS MY GEOMETRY HW!!!
Answers
Answer:
-9
Step-by-step explanation:
\(KL=|7-23|=16\\JK = KL = 16\\\\J = K-JK = 7-16 = - 9\)
como resolve essa conta
p = 8 + 10?
Answers
Answer:
P equals 18 because 8 plus 10 is 18.
Step-by-step explanation:
Identify the formula used to estimate the sample size for a simple random sample when the situation involves estimating a population mean.
Answers
The formula used to estimate the sample size for a simple random sample when estimating a population mean is:
n = (Z * σ / E) ^ 2.
1. Determine the desired confidence level for your estimation.
2. Find the corresponding Z-score for the desired confidence level. Common Z-scores for confidence levels include 1.96 for 95% confidence and 2.58 for 99% confidence.
3. Estimate the population standard deviation (σ) using previous data or assumptions.
4. Decide on the desired margin of error (E), which represents the maximum acceptable difference between the sample mean and the population mean.
5. Plug these values into the formula: n = (Z * σ / E) ^ 2.
6. Calculate the sample size (n) using the formula.
Therefore, the formula used to estimate the sample size for a simple random sample when estimating a population mean is n = (Z * σ / E) ^ 2.
where:
n is the sample size,
Z is the Z-score corresponding to the desired confidence level,
σ is the population standard deviation, and
E is the desired margin of error.
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find a cartesian equation for the curve and identify it. hyperbola parabola circle ellipse limaçon r cos(2theta)
Answers
The curve is an ellipse with the Cartesian equation x²/1 + y²/1 = 1.
To convert the given polar equation r² cos 2θ = 1 to a Cartesian equation, we can use the following relationships between polar and Cartesian coordinates:
x = r cos(θ)
y = r sin(θ)
Substitute these values into the given polar equation:
r² cos 2θ = 1
(r cos θ)² - (r sin θ)² = 1
use the identity cos² θ - sin² θ = 1 to simplify further:
(cos θ)² - (sin θ)² = 1
Replace (cos θ)² with x² and (sin θ)² with y²:
x² - y² = 1
Rearrange the equation to put it in standard form for an ellipse:
x²/1 - y²/1 = 1
The equation represents an ellipse with a major axis along the x-axis and a minor axis along the y-axis.
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Complete question:
Find a Cartesian equation for the curve and identify it.
r2 cos 2θ = 1
circle ellipse hyperbola limaçon parabola
on average, an individual's bmr decreases approximately 3 to 5 percent per decade after what age? a. 20 b. 50 c. 30 d. 70
Answers
An individual's BMR decreases approximately 3 to 5 percent per decade on an average after the age of option C. 30.
BMR is known as basal metabolic rate which decreases when the age of a person increases.As metabolism factor slow down with the increase in age.After the age of 30 metabolism rate decreases which effect basal metabolic rate every decade by round about 3 to 5 percent.At the young age expenditure of the daily energy is quiet more compare to older age.On an average after the age of 30 BMR is decreases approximately by 3 to 5 percent.
Therefore, on an average individuals BMR is approximately decreases by round about 3 to 5 percent per decade after the age of option c. 30.
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A triangular object has a perimeter of 87 m. What is the new perimeter if a linear scale factor of 4:1 is applied to it?
Please answer fully and step by step so that I can understand. Thank you so much to whoever answers this!
Answers
Step 1: Calculate the length of each side of the original triangle.
Since the perimeter of the triangle is 87 m, we can use the formula for the perimeter of a triangle to calculate the length of each side:
Perimeter = a + b + c
87 = a + b + c
Step 2: Calculate the new perimeter using the linear scale factor of 4:1.
The linear scale factor of 4:1 means that each side of the triangle will be multiplied by 4. Therefore, the new perimeter will be:
New Perimeter = 4a + 4b + 4c
Step 3: Substitute the values for a, b, and c from Step 1 into the equation from Step 2.
New Perimeter = 4(a + b + c)
New Perimeter = 4(87)
New Perimeter = 348 m
Answer:
21.75
Step-by-step explanation:
Linear factor means the ratio between the current shape to the transfiormed one. 4:1 means that the current shape is four times larger than the transformed one, meaning that the way to find the transformed shape, we must divide the current shape of 87 by 4, giving us 21.75.
Can someone check if this is right or did I solve it wrong?
The function y = f (x) is linear. Given f-¹ (0) = 3 and f (1) = - 4, find the formula f (x) and f-¹ (x).
Answers
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
determine the smallest positive integer such that is divisible by 1441 for all odd positive integers .
Answers
The smallest such x is 1441, since this is the smallest multiple of 1441 that is divisible by all odd positive integers. We are given to determine the smallest positive integer that is divisible by 1441 for all odd positive integers.
Let k be any odd positive integer. Then we can write k as 2n + 1 for some non-negative integer n.
Then we need to find the smallest integer x such that 1441 divides x.
We can now try to write x in terms of k. We have x = a(2n+1) for some positive integer a. Since x must be divisible by 1441,
we have 1441 | x = a(2n+1).
Since 1441 is a prime, 1441 must divide either a or (2n+1).We will now show that 1441 cannot divide (2n+1).
Suppose 1441 | (2n+1).
Then we can write 2n+1 = 1441m for some integer m.
Rearranging, we get: 2n = 1441m - 1.
Thus, 2n is an odd number. But this is not possible since 2n is an even number.
Hence, 1441 cannot divide (2n+1).
Thus, 1441 divides a. So we can write a = 1441b for some integer b.
Substituting, we get x = 1441b(2n+1).
Now we can write 2n+1 = k, so x = 1441b(k).
Hence, the smallest such x is 1441, since this is the smallest multiple of 1441 that is divisible by all odd positive integers.
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What are the four conditions necessary for X to have a Binomial Distribution? Mark all that apply.
a. There are n set trials.
b. The trials must be independent.
c. Continue sampling until you get a success.
d. There can only be two outcomes, a success and a failure
e. You must have at least 10 successes and 10 failures
f. The population must be at least 10x larger than the sample. T
g. he probability of success, p, is constant from trial to trial
Answers
Options a, b, d, and g are the correct conditions for a Binomial Distribution.
The four conditions necessary for X to have a Binomial Distribution are:
a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.
b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.
d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.
g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.
The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.
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By graphing the system of constraints, find the values of x and y that minimize the objective function. x+2y≥8
x≥2
y≥0
minimum for C=x+3y (1 point) (8,0)
(2,3)
(0,10)
(10,0)
Answers
The values of x and y that minimize the objective function C = x + 3y are (2,3) (option b).
To find the values of x and y that minimize the objective function, we need to graph the system of constraints and identify the point that satisfies all the constraints while minimizing the objective function C = x + 3y.
The given constraints are:
x + 2y ≥ 8
x ≥ 2
y ≥ 0
The graph is plotted below.
The shaded region above and to the right of the line x = 2 represents the constraint x ≥ 2.
The shaded region above the line x + 2y = 8 represents the constraint x + 2y ≥ 8.
The shaded region above the x-axis represents the constraint y ≥ 0.
To find the values of x and y that minimize the objective function C = x + 3y, we need to identify the point within the feasible region where the objective function is minimized.
From the graph, we can see that the point (2, 3) lies within the feasible region and is the only point where the objective function C = x + 3y is minimized.
Therefore, the values of x and y that minimize the objective function are x = 2 and y = 3.
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If the standard deviation of a data set was originally 6, and if each value in the data set was multiplied by 8.5, what would be the standard deviation of the resulting data? o a. 15 ob. 9 o c. 6 od. 51
Answers
The standard deviation of the resulting data would be 51.
When each value in a data set is multiplied by a constant, the standard deviation is also multiplied by that constant. In this case, each value in the original data set is multiplied by 8.5. Since the original standard deviation was 6, when each value is multiplied by 8.5, the standard deviation becomes:
New Standard Deviation = 6 * 8.5 = 51
So, the standard deviation of the resulting data would be 51. This is because when values are multiplied by a constant, it changes the spread and variability of the data, and the standard deviation provides a measure of this spread. In this situation, the spread of the data increases as each value is multiplied by 8.5, resulting in a larger standard deviation of 51.
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Which number line best shows how to solve -8 - (-6)?
PLEASE HELP WILL GIVE BRAINILIST
Answers
Answer:
D) *the last one*
Step-by-step explanation:
-8 - (-6) = -2 and the last one is the only one that seems to show -2
what is the value of 7 in the number 82.76
Answers
Answer:
The value of 7 in 82.76 is 7 tenths.
Step-by-step explanation:
In the place value system, after the decimal point, its tenths, hundredths, and so on. 7 is in the tenths place, and makes 7 tenths.
Hoped this helped!
It is known that the length of a certain product X is normally distributed with μ = 18 inches. How is the probability P(X > 18) related to P(X < 18)?
Group of answer choices P(X > 18) is smaller than P(X < 18).
P(X > 18) is the same as P(X < 18).
P(X > 18) is greater than P(X < 18).
No comparison can be made because the standard deviation is not given.
Answers
The correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct. The probability P(X > 18) is related to P(X < 18) in such a way that: P(X > 18) is the same as 1 − P(X < 18).
Explanation:
The mean length of a certain product X is μ = 18 inches.
As we know that the length of a certain product X is normally distributed.
So, we can conclude that: Z = (X - μ) / σ, where Z is the standard normal random variable.
Let's find the probability of X > 18 using the standard normal distribution table:
P(X > 18) = P(Z > (18 - μ) / σ)P(Z > (18 - 18) / σ) = P(Z > 0) = 0.5
Therefore, P(X > 18) = 0.5
Using the complement rule, the probability of X < 18 can be obtained:
P(X < 18) = 1 - P(X > 18)P(X < 18) = 1 - 0.5P(X < 18) = 0.5
Therefore, the probability P(X > 18) is the same as P(X < 18).
Hence, the correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct.
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You purchase a pair of shoes from the store for $42.00. You have a coupon for 20% off. How much is the discount?
Answers
Answer:
the discount is for 8.40$
Write a function g whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5
g (x) =
Answers
A function is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given function f(x) = |x| - 5 after transaltion of the graph by 2 units left will become g(x) = |x+2| - 5.
The graph of the function is attached with the answer below. In which both functions are graphed.
Therefore, afunction is g(x) = |x+2| - 5 whose graph is a translation 2 units to the left of the graph of f (x) = |x| - 5.
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How to convert centimeters into millimeters?
Answers
Answer: Multiply the centimeters number by 10.
Step-by-step explanation: There are 10 millimeters in every centimeter.
If PQ is reflected across the x-axis, what will be the
coordinates of P'Q'?
OA) P (4, 4) and Q'(1, 2)
OB) P(-4,-4) and Q'(-1, -2)
OC) P (4, -4) and Q'(1, -2)
OD) P(-4,0) and Q'(-1, -2)
Will mark brainliest
Answers
Answer:
B) P' (-4, -4) and Q' (-1, -2)
Step-by-step explanation:
From inspection of the graph:
P = (-4, 4)
Q = (-1 ,2)
If the line PQ is reflected across the x-axis, then the x-coordinates of the points do not change, and the y-coordinates of the points become negative.
Therefore,
P' = (-4, -4)
Q' = (-1, -2)
Reflected over x axis so x co-ordinates remains constant.
The line is present in Quadrant 2 so it will be shifted to quadrant 3.
y co-ordinates will be negative.(In Q3 y<0)So the rule is (x,-y)
The co-ordinates are
P(-4,-4)Q(-1,-2)can y'all help me please
Answers
Answer:
options 1 & 4
Step-by-step explanation:
The difference of 5 and 3:
5-3
One fourth of this difference:
(1/4) × (5-3)
Hope this helps
name the multiplicative inverse of 3/7
Answers
Answer:The multiplicative inverse of a number is the number by which when we multiply that number then final result is 1. Let , multiplicative inverse of ( -3/7 ) is x
Step-by-step explanation:
Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Answers
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
50. If Ken is taller than Scott, then Dale is shorter than Connie. Which of the following must be true?
the correct answer is E
Answers
Answer:
would it be A
Step-by-step explanation:
A local charity earns money to donate to flood victims. It receives $200 per day in cash donations and $150 in pledges. Its operating costs are $75 per day. After how many days will the charity have enough money to make a donation of at least $1000?
Answers
Answer:
4 days at least
Step-by-step explanation:
solve the equation for the unkown variable
1) -1/x=-7/2+2/x
Answers
Step-by-step explanation:
-1/x = -7/2 + 2/x
3/x = 7/2
Therefore x = 6/7.
please help me i cant figure this out :(
Answers
Answer:
Option (D)
Step-by-step explanation:
Polygon Q(16, 4), R(8, 16), S(4, 4) mapped to polygon T(-2, 5), U(-4, 8), V(-5, 5).
Polygon QRS was dilated initially by using the rule,
(x, y) → (0.25x, 0.25y)
Therefore, coordinates of QRS will be,
Q(16, 4) → Q'(4, 1)
R(8, 16) → R'(2, 4)
S(4, 4) → S'(1, 1)
Followed up by the translation,
(x, y) → (x + a, y + b)
By applying this rule,
Q'(4, 1) → T(-2, 5)
Q'(4, 1) → T(4 - 6, 1 + 4)
Rule applied in the translation of this point is,
Q'(x, y) → T[(x-6), (y+4)]
Therefore, Option (D) will be the answer.
x + 23
5x + 13
please help
Answers
Answer:
x = 2.5 or 5/2.
Step-by-step explanation:
They're congruent angle, so set them equal to each other
5x + 13 = x + 23
Solve for x:
4x = 10
x = 10/4 = 5/2 = 2.5
A line passes through the point (-4,-8) and has a slope of 5/2Write an equation in point-slope form for this line.
Answers
The point-slope formula of a line can be expressed by the following equation:
\(y-y_1=m\cdot(x-x_1)\)Where m is the slope and (y1, x1) is a point that belong to the line. For this problem we were given a line with slope 5/2 and a point (-4,-8). By replacing these values on the general expression above we have:
\(\begin{gathered} y-(-8)=\frac{5}{2}\cdot(x-(-4)) \\ y+8=\frac{5}{2}\cdot(x+4) \end{gathered}\)[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
Answers
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
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