Answer:
RS || PQ and QR || SP given
angle PSQ congruent to angle RQS alternate interior angles theorem
angle PQS congruent to angle RSQ alternate interior angles theorem
QS congruent to QS reflexive property
Triangle PSQ congruent to triangle RSQ ASA congruence
RS congruent PQ and QR congruent CPCTC
to SP
A triangle is dilated by a scale factor of n = One-third. Which statement is true regarding the dilation?It is a reduction because n > 1.It is a reduction because 0 < n < 1.It is an enlargement because n > 1.It is an enlargement because 0 > n > 1.
Since the scale factor is between 0 and 1, that means the dilation will decrease the figure size (it's a reduction and not a enlargement).
Therefore the correct option is the second one.
Find the midpoint of the segment with the following endpoints
(5,5) and (1,1)
The midpoint of the segment given (5,5) and (1,1) is (3, 3).
What is midpoint?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Coordinates of the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂)= [(x₁ + x₂)/2 , (y₁ + y₂)/2].
The midpoint of the line segment with endpoints (5,5) and (1,1)
= [ ( 5 + (1))/2 , ((5) + 1)/2 ]
= [ (6)/2 , 6/2 ]
= [ 3, 3
Therefore, the midpoint of the line segment with endpoints is (3, 3).
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Which number is the greatest?
Select one:
10/3
7/2
9/4
17/8
Answer:
7/2
Step-by-step explanation:
Firstly lets put them all in common denominators (LCM) 3,2,4 and 8 re all divided by 24.
17/8 x 3/3 = 51/24
7/2 x 12/12 = 84/24
9/4 x 6/6=54/24
10/3 x 8/8= 80/24
Now lets see which one is greatest: 7/2 or 84/24
Hope this helps :D
Answer:
7/2
Step-by-step explanation:
10/3 = 3.333
7/2 = 3.500
9/4 = 2.250
17/8 = 2.125
I'm in a rush, please help me fast and thank you
Volume of the cylinder = 1130.4 m³
volume of the cylinder = 1780.4 m³
Explanation:Volume of cylinder = πr²h
1) diamter = 12 m
diameter = 2(radius)
radius = diamter/2 = 12/2 = 6 m
height = h = 10m
let π = 3.14
Volume of the cylinder = 3.14 × 6² × 10
Volume of the cylinder = 1130.4 m³
2) radius = 9 in
height 7 in
Volume of cylinder = πr²h
Volume of the cylinder = 3.14 × 9² × 7
Volume of the cylinder = 1780.38
To the nearest tenth, volume of the cylinder = 1780.4 m³
A line passes through the point (2, 3) and has a slope of 5.
Write an equation in slope-intercept form for this line.
Answer:
y=5x-7
Step-by-step explanation:
In science class, the girl to boy ratio is 3 to 7.
If there are 50 students total in the class, how many are boys?
Answer:
There are 35 boys in the class.
Step-by-step explanation:
Girls to Boys ratio = 3:7
Total number of students in class = 50
Let total number of girls be '3x' and total number of boys be '7x'
Total number of girls + Total number of boys = Total number of students
3x + 7x = 50
10x = 50
x = 50/10
x = 5
\( \therefore \)
Total number of girls = 3 × 5 = 15
Total number of boys = 7 × 5 = 35
Suppose you take out a loan for 180 days in the amount of $13,500 at 11% ordinary interest. After 50 days, you make a partial payment of $1,000. What is the final amount due on the loan? (Round to the nearest cent)
The final amount due on the loan after the partial payment is approximately $13,070.41 (rounded to the nearest cent).
To calculate the final amount due on the loan, we need to consider the principal amount, the interest accrued, and the partial payment made.
Given information:
Principal amount: $13,500
Interest rate: 11% (per year)
Loan period: 180 days
Partial payment: $1,000
Partial payment date: 50 days
First, let's calculate the interest accrued on the loan from the loan start date to the partial payment date:
Interest accrued = Principal amount * Interest rate * (Number of days / 365)
Interest accrued = $13,500 * 11% * (50 / 365)
Interest accrued ≈ $201.37
Next, let's calculate the remaining principal balance after the partial payment:
Remaining principal balance = Principal amount - Partial payment
Remaining principal balance = $13,500 - $1,000
Remaining principal balance = $12,500
Now, let's calculate the interest accrued on the remaining principal balance for the remaining loan period (180 - 50 days):
Interest accrued = Remaining principal balance * Interest rate * (Number of days / 365)
Interest accrued = $12,500 * 11% * (130 / 365)
Interest accrued ≈ $570.41
Finally, we can calculate the final amount due on the loan by adding the remaining principal balance and the interest accrued:
Final amount due = Remaining principal balance + Interest accrued
Final amount due = $12,500 + $570.41
Final amount due ≈ $13,070.41
Therefore, the final amount due on the loan after the partial payment is approximately $13,070.41 (rounded to the nearest cent).
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Please answer !!!!!!!! Will mark brainliest correct answer !!!!!!!!!!!
Answer:
B
Step-by-step explanation:
I had that same answer. I did it with my teacher and he said it was b
Please help me quickly
Step-by-step explanation:
5: -7=x,-1=y so (-7,-1)
6. 7=x,8=y so (7,8)
Hope that helps :)
Eve play baketball. She make 4 free throw for every 3 free throw that he mie. If he mied 27 free throw at her lat practice, how many free throw did he make?
Using this probability, he would have to make 42.18% or 42 free throws, thus avoiding 27 free throws.
Averaged over 3 out of 4 free throws, the probability of a successful free throw is 0.75 and the probability of a missed free throw is 0.25.
There are several ways to score 3 of the 4 free throws.
Miss Hit Hit Hit
Hit Miss Hit Hit
Hit Hit Hit Hit Hit
So to calculate this probability we need to multiply the probability of each shot. Because when it comes to multiplication, the order of multiplication doesn't matter, it's just the numbers that matter, only her 4-day probability that the shot will be taken. be the same.
So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875
Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18% shot will be taken.
So 0.75 x 0.75 x 0.75 x 0.25 = 0.10546875
Since there are 4 ways to take a 3/4 shot, we have to multiply this by 4, so 4 x 0.10546875 = 0.4218 = 42.18%.
Hence, Eve had to make 42 free throws for getting 27 throws are mied.
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The solution to 2−5≥3 2 x - 5 ≥ 3 is x 4 4. A value for x that is a solution to 2−5=3 2 x - 5 = 3 is = x =. A value for x that is a solution to 2−5≥3 2 x - 5 ≥ 3 is = x =. Part B: The solution to −2−5=3 - 2 x - 5 = 3 is =−4 x = - 4. The solution to −2−5≥3 - 2 x - 5 ≥ 3 is x −4 - 4. A value for x that is a solution to −2−5=3 - 2 x - 5 = 3 is = x =. A value for x that is a solution to −2−5≥3 - 2 x - 5 ≥ 3 is = x =
The solution to 2x - 5 >= 3 is x >= 4. There is no value for x that satisfies 2x - 5 = 3. The solution to 2x - 5 >= 3 is x >= 4.
First, we can subtract 3 from both sides of the inequality 2x - 5 >= 3. This gives us: 2x - 5 - 3 >= 3 - 3
which simplifies to:
2x >= 0
We can then divide both sides of the inequality by 2. This gives us:
x >= 0 / 2
which simplifies to:
x >= 0
This means that the solution to 2x - 5 >= 3 is x >= 0.
Now, let's consider the equation 2x - 5 = 3. If we subtract 3 from both sides of this equation, we get:
2x - 5 - 3 = 3 - 3
which simplifies to:
2x = 0
Dividing both sides of this equation by 2 gives us:
x = 0 / 2
which is undefined. This means that there is no value for x that satisfies the equation 2x - 5 = 3.
Finally, let's consider the inequality 2x - 5 >= 3. If we subtract 3 from both sides of this inequality, we get:
2x - 5 - 3 >= 3 - 3
which simplifies to:
2x >= 0
Dividing both sides of this inequality by 2 gives us:
x >= 0 / 2
which simplifies to:
x >= 0
This means that the solution to 2x - 5 >= 3 is x >= 0.
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any thing would help it’s due today
Answer: P: (-3, -1), Q: (2, -1), R: (1, 2), S: (-3, 2)
Step-by-step explanation: the way I think about it is you have to run before you jump, so the third one let’s say, you have to “run” to 1, and then “jump” to 2. Now let’s take the first one, it’s the exact same thing just in the opposite direction, you “run” back to -3 and then “fall” to -1. Now let’s take the second one, first you would “run” to 2 and then “fall” (because it’s a negative) to -1, and if it was a negative first and then a positive, it would just be the opposite of the one O just explained
The roots of 7x^2 + x - 5 = 0 are a and b. Compute (a - 4)(b - 4).
Answer:
just divide
Step-by-step explanation:
and just use the formula
Use FOIL (First, Outer, Inner, Last) to compute (a-4)(b-4)
(a-4)(b-4) =
ab - 4a - 4b + 16
Solvethefollowing:a) 7 − 4 + 12 = 2 + 8b) 14 + 15 − 9 + 1 = −7 + 1 − 9c) 4 − 10 = 8( + 2)
First, we subtract 2x on each side.
\(\begin{gathered} 7x-4x-2x+12=2x-2x+8 \\ x+12=8 \end{gathered}\)Then, we subtract 12 on each side.
\(\begin{gathered} x+12-12=8-12 \\ x=-4 \end{gathered}\)The solution is -4.(b)\(14x+15x-9+1=-7x+1-9\)We sum 7x on each side.
\(\begin{gathered} 14x+15x+7x-9+1=-7x+7x+1-9 \\ 36x-8=-8 \end{gathered}\)Then, we add 8 on each side.
\(\begin{gathered} 36x-8+8=-8+8 \\ 36x=0 \end{gathered}\)At last, we divide the equation by 36.
\(\begin{gathered} \frac{36x}{36}=\frac{0}{36} \\ x=0 \end{gathered}\)The solution is 0.(c)\(4x-10=8(x+2)\)First, we use the distributive property.
\(4x-10=8x+16\)Then, we subtract 8x on each side.
\(\begin{gathered} 4x-8x-10=8x-8x+16 \\ -4x-10=16 \end{gathered}\)Now, we add 10 on each side.
\(\begin{gathered} -4x-10+10=16+10 \\ -4x=26 \end{gathered}\)At last, we divide the equation by -4.
\(\begin{gathered} \frac{-4x}{-4}=\frac{26}{-4} \\ x=-6.5 \end{gathered}\)The solution is -6.5.
The current zero-coupon yield curve for risk-free bonds is as follows: What is the risk-free interest rate for a five-year maturity? The risk-free interest rate for a five-year maturity is %. (Round
The risk-free interest rate for a five-year maturity is the yield on a five-year risk-free bond. To determine this rate, you would need to refer to the current zero-coupon yield curve for risk-free bonds and find the yield corresponding to a five-year maturity.
To find the risk-free interest rate for a five-year maturity, you would need to refer to the current zero-coupon yield curve for risk-free bonds. This curve provides yields for different maturities of risk-free bonds.
Look for the yield corresponding to a five-year maturity on the curve, and that would be the risk-free interest rate for a five-year maturity. Make sure to round the rate according to the given instructions.
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because extremes in a distribution (a very large or very small number) can impact the mean, it is usually important to examine measures of dispersion about the mean.
Examining measures of dispersion about the mean is important because:
1. They provide information about the spread of the data.
2. They help in interpreting the overall distribution more accurately.
3. They assist in understanding the degree of variability in the data, which is crucial for making informed decisions.
The reason it's important to examine measures of dispersion about the mean is that these measures, such as variance and standard deviation, can provide valuable information about the spread of the data in the distribution. When there are extreme values, the mean might not accurately represent the center of the data.
In such cases, measures of dispersion help in understanding how the data is spread out, which in turn aids in better interpreting the overall distribution. These measures provide insights into the degree of variability in the data, which is crucial for making informed decisions based on the data set.
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remember, when something is below sea level we use a negative integer. write an integer to represent the elevation of the helicopter
Answer: If anything below sea level is a negative integer then anything above sea level is a positive integer. An integer that could represent a helicopter could be anything from +1 to +1000 and on.
DUE BY 11:59 PM!!
HELP GREATLY APPRECIATED!!
Answer:
Step-by-step explanation:
1. There are only 4 numbers including 5 that follow the "five or more" requirment, and the probability of spinning it once is 4/8, or 1/2. (The total sections is 8) Then we multiply 1/2 and 1/2 together to get the "two times in a row" requirement done. (1/2)*(1/2)= 1/4 is the probability.
2. There are two values on the spinner that are a multiple of 3, 3 itself and 6. Again, the total amount of numbers/sections is 8, so the probability of spinning a multiple of three is 2/8 or 1/4. The probability of spinning an odd number is 4/8 or 1/2. (1/2)*(1/4)=1/8 is the probability.
3. The probability of spinning one odd number is 1/2, and so we multiply 1/2 by itself four times. (1/2)*(1/2)*(1/2)*(1/2)=1/16 is the probability.
4. There are 6 numbers greater than two on the number wheel not including two itself. So the probability of that is 6/8, or 3/4. Then we multiply 3/4 by itself 3 times as it asks. (3/4)*(3/4)*(3/4)*(3/4)=81/256 is the probability.
Note that I am not really sure about the answer myself, but I hope that this can help in some way. Good luck! :)
hello! please help me find the x & y intercepts, domain & range, relative minimum & maximum, increasing & decreasing intervals, and positive & negative intervals.. thank you :)
Solve the equation y = f(x) to determine the values of the independent variable x and obtain the domain.
How do you find the domain and range of X and Y?We can easily identify the values of the independent variable x and the domain by solving the equation y = f(x). The range may then be found by solving for x.
For a relation, the domain and range are defined as sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively. For instance, if the relationship is R = (1, 2), (2, 2), (3, 3), and (4, 3), then
The collection of all x-coordinates with values 1, 2, 3, and 4 is known as the domain.Range is the set of all y-coordinates with values of 2, 3.
The elements that make up a function are its domain and range. A function's domain is the set of all potential input values, while its range is the range of possible output values. Range, Function, and Domain.
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If PS = 2x + 18 and QR = 5x - 9, solve for x.
Answer:
2x+18+5x-9
2x+5x18-9
7x+9
7. 7
x= 1.4
hope it helps
10.4 For the following situation. fal determine which evatuation nethod is probably the cusiese and lasitest (o apply hy hand and hy eomputer in order 10 selece from the five allematives, and (h) thst
Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.
Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.
To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.
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With what instrument could the predictive validity of a metric scale (a set of questions) best be determined?A. Cronbach's alphaB. A correlation-coefficient C. Fishers r-to-z test.D. With none of the above mentioned instruments
The best instrument to determine the predictive validity of a metric scale would be a correlation-coefficient.
This measure assesses the strength of the relationship between two variables, in this case, the metric scale scores and the predicted outcome. A high correlation would indicate that the metric scale is a good predictor of the outcome, whereas a low correlation would indicate that the metric scale is not a reliable predictor.
Cronbach's alpha is a measure of internal consistency and would not be appropriate for determining predictive validity. Fisher's r-to-z test is used to compare the strength of two correlations and is not necessary in this scenario. Therefore, the answer is B, a correlation-coefficient.
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Let P(A)=47 and P(B|A)=38. What is the probability of events A and B occurring? Enter your answer in the box as a fraction in simplest form.
The value of the probability is 3/14
How to solve the probability?The given parameters are:
P(A) = 4/7
P(B | A) = 3/8
The probability of events A and B occurring is calculated using:
P(A and B) = P(B | A) * P(A)
So, we have:
P(A and B) = 3/8 * 4/7
Evaluate the product
P(A and B) = 3/14
Hence, the value of the probability is 3/14
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To factor a linear expression, look for___ that have terms in common
Answer: Expressions or equations, im not sure which
Step-by-step explanation: There isn't really one
Which multiplication equation can be used to solve 1/6 divided by 5
The multiplication equation which can be used to solve 1/6 divided by 5 is 1/30.
ReciprocalReciprocal, represented by 1/x, is a number which when multiplied by x gives the result 1.
How to solve 1/6 divided by 5 using multiplication?The reciprocal of 5 is 1/5.
We know that dividing a function is the same as multiplying by its reciprocal.
So, 1/6 divided by 5 is,
1/6 x 1/5 = 1/30
Hence, the multiplication equation which can be used to solve 1/6 divided by 5 is 1/30.
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A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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Find the value of
x,y, and mBC
Answer:
National value subtraction value
What is the value of x?
X
Answer:
30°
Step-by-step explanation:
a professor gives his students 6 essay questions to prepare for an exam. only 4 of the questions will actually appear on the exam. how many different exams are possible?
The different possible exams for the 6 essay questions from which only 4 appear is equal to 15.
n is the total number of items in the set = 6 essay questions
r is the number of items we want to choose = 4 questions
Using combinations,
which is a way of counting the number of ways to choose a certain number of items from a larger set without regard to order.
Choose 4 out of the 6 essay questions, without regard to the order in which they appear on the exam.
Use the formula for combinations,
C(n, r) = n! / (r! × (n - r)!)
Plugging in the values, we get,
⇒C(6, 4) = 6! / (4! × (6 - 4)!)
⇒C(6, 4) = 6! / (4! ×2!)
⇒C(6, 4) = (6 × 5 × 4 × 3) / (4 × 3 × 2 × 1)
⇒C(6, 4) = 15
Therefore, there are 15 different exams possible, each consisting of 4 out of the 6 essay questions provided by the professor.
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Heeeeeelp pleaseeeeeee
Answer: angle R and T = 55; angle S and U = 125
Step-by-step explanation:
Answer:
∠S and ∠U = 125° and ∠R and ∠T = 55°
Step-by-step explanation:
The interior angles of a parallelogram with differing values form a supplementary angle meaning the sum is 180°. Use this information to make an equation.
11x + 4 + 5x = 180
16x + 4 = 180
16x = 176
x = 11
Substitute the solution for x to find the interior angles.
11(11) + 4 = 121 + 4 = 125
5(11) = 55