Answer:
x > 2
Step-by-step explanation:
The required inequality to represent “a number is at most two” is x ≤ 2.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The expression of a number is at most two, implying that a number cannot be more than 2.
So the inequality that best represents the scenario is given as x ≤ 2.
Thus, the required inequality to represent “a number is at most two” is x ≤ 2.
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Javier jogs & of a -
mile in 8 minutes
how many minutes will
it take him to jog
1 mile?
Answer:
It will take him 10 minutes to jog 1 mile.
Step-by-step explanation:
can i have brianliest please
the average of the marks on an exam in a class was 80%. if 15 of the students had each gotten a mark which was 10 points higher, the average would have been 85. how many students are in the class?
In the class, there are 3000 students per the concept of solving an equation.
According to the given information, the average of the marks on the exam in the class was initially 80%.
If 15 of the students had each gotten a mark that was 10 points higher, the average would have been 85%.
To solve for the number of students in the class, set up an equation based on the average formula:
((80% × n) + (10 × 15) / n = 85%
Let's simplify this equation and solve for "n":
(0.8n + 150) / n = 0.85
Multiply both sides of the equation by "n" to eliminate the denominator:
0.8n + 150 = 0.85n
150 = 0.05n
n = 150 / 0.05
n = 3000
Therefore, there are 3000 students in the class.
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Use the number line to plot –3, 1, and 3. Which statements are true? Select all that apply. –3 > 1 –3 = 3 1 < 3 –3 < 1
Answer:
c d
Step-by-step explanation:
A telescope is orbiting the earth at 705 km altitude. The telescope lens diameter is 40 cm, the focal length is 120 cm, and the square focal
plane is 10 cm on a side. The pixels in the detector are 10 microns on a
side.
a) Calculate the swath width, pixel resolution on the ground, and the
number of pixels across the swath assuming a push broom design.
b) Calculate the maximum integration time (dwell time) per pixel.
Swath width = 276.5 km, pixel resolution on ground = 29.4 cm, number of pixels across swath = 940, maximum integration time per pixel = 4.11 ms.
How to calculate the swath width?We first determine the telescope's field of view using the lens diameter and focal length, then multiply it by the altitude. The pixel resolution on the ground is calculated by dividing the pixel size by the altitude and multiplying by 206265, which converts the result to meters. Finally, the number of pixels across the swath is determined by dividing the swath width by the pixel resolution.
How the maximum integration time per pixel is calculated?It is by dividing the pixel resolution by the ground speed of the telescope. The ground speed is determined using the orbit altitude and period, and the dwell time per pixel is expressed in milliseconds. The maximum integration time per pixel represents the amount of time the detector can collect light while the telescope moves across one pixel on the ground.
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a student has to take 9 more courses before she can graduate. if none of the courses are prerequisites to others, how many groups of five courses can she select for the next semester?
The number of groups of five courses the student can select for the next semester is 126.
In order to answer this question, we must first determine how many courses the student has already taken. If the student has already taken 11 courses, then the total number of courses she needs to take is 9.
We can use the formula for combinations, nCr, to calculate the number of groups of five courses that she can select for the next semester. The formula is nCr=n!/(r!(n-r)!). In this case, n is the total number of courses (9) and r is the number of courses in each group (5).
Therefore, the number of groups of five courses the student can select for the next semester is 9C5, or 9!/[5!(9-5)!], which equals 126. This means the student can select 126 different groups of five courses for the next semester.
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Use the Pythagorean theorem to derive an expression for the length of the line (labeled bb ) that runs diagonally across one of the faces of the cube in terms the edge length (l)(l) .
The expression for the given statement according to the Pythagoras theorem is b=sqrt(l^2+l^2).
According to the statement
we have given that the length of the line that runs diagonally across one of the faces of the cube in terms the edge length.
And we have to find the expression for the given terms.
So, for this purpose, we know that
Pythagoras theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
So, we have given that the
the length of the line that runs diagonally across one of the faces of the cube in terms the edge length.
It means that the
The line that runs diagonally is called a hypotenuse.and the value of line is b, which is a given.
Then
(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2
And the value of edge length is I. Then
Substitute the values in it then
(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2
(b)^2 = (I)^2 + (I)^2
Then solve it value for the b
then the value becomes
\(b=sqrt(l^2+l^2)\)
So, The expression for the given statement according to the Pythagoras theorem is b=sqrt(l^2+l^2).
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I need help
Solving this problem
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
On a number line, the coordinates of X, Y, Z, and W are -7, -3, 1, and 5, respectively. Find the lengths of the two segments. Then tell whether they are congruent.
the mentioned segments are YZ and XW
Answer:
YZ = 4XW = 12not congruentStep-by-step explanation:
YZ = Z - Y = 1 -(-3) = 4
XW = W -X = 5 -(-7) = 12
The segments are different lengths, so are not congruent.
_____
Obviously, segment YZ is only part of segment XW, so will not be the same length.
If I get $18 (USD) every 2 weeks and I start with $45.01 how many weeks will it take to get to $130.17?
suppose we take a poll (random sample) of 3926 students classified as juniors and find that 2915 of them believe that they will find a job immediately after graduation.what is the 99 % confidence interval for the proportion of gsu juniors who believe that they will, immediately, be employed after graduation.
We obtain the 99% confidence interval for the proportion of GSU juniors who believe they will find a job immediately after graduation.
To calculate the 99% confidence interval for the proportion of GSU juniors who believe they will find a job immediately after graduation, we can use the formula: Confidence Interval = Sample Proportion ± (Critical Value * Standard Error)
First, we calculate the sample proportion, which is the number of students who believe they will find a job (2915) divided by the total sample size (3926).
Sample Proportion = 2915 / 3926 ≈ 0.7428
Next, we need to determine the critical value corresponding to a 99% confidence level. Using a standard normal distribution, the critical value is approximately 2.576.
The standard error can be calculated using the formula: Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
Plugging in the values, we get: Standard Error ≈ sqrt((0.7428 * (1 - 0.7428)) / 3926)
Finally, we can calculate the confidence interval: Confidence Interval = 0.7428 ± (2.576 * Standard Error)
By substituting the values, we obtain the 99% confidence interval for the proportion of GSU juniors who believe they will find a job immediately after graduation.
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3. describe the pattern of learning math concepts according to siegler.
According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.
According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.
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Eight measurements were made on y = glucose concentration and x = fermentation of brand of malt liquor. Minitab was used to analyze the data. A scatter plot of y is given below and a Scatterplot of y: vs » 75 70 65 60 55 50 1 2 4 6 7 8 We fit two models the first is a linear regression model of y on r and the second is a quadratic regression model of y on r below and . Partial output from Minitab is given LINEAR MODEL Analysis of Variance Adj SS Adj MS F-Value Source DF P-Value Regression 1 0.054 0.0536 0.00 0.982 586.821 97.8036 Error 6 Total 7 586.875 Coefficients Term Coef SE Coef T-Value P-Value VIF 7.71 Constant 57.96 7.52 0.000 0.04 1.53 0.02 0.982 1.00 X: QUADRATIC MODEL Analysis of Variance Source DF Adj SS Adj MS 525.11 F-Value P-Value 262.55 21.25 Regression 2 0.004 Error 5 61.77 12.35 Total 7 586.88 Coefficients Term Coef SE Coef T-Value P-Value VIF 84.48 4.90 Constant 17.23 0.000 15.87 2.50 -6.35 0.001 21.25 X: 6.52 1.768 0.271 0.001 21.25 X:*x (a) Choose the model you feel is appropriate for the data. Justify (b) Using your chosen model, what is the change in y for one unit change in x? (c) What is the proportion of variation explained by the model?
The quadratic model is appropriate, because it based on the scatter plot and p-value of the regression, the change in y for one unit change in x is 70.378 and Proportion of variation explain by the model is 0.8947.
In the given question we have given a scatter plot of y is given below and a Scatter plot of y, linear model and quadratice model.
(a) We have to choose the model that we feel is appropriate for the data.
The quadratic model is appropriate, because it based on the scatter plot and p-value of the regression that is less than quadratic model in the analysis of variance.
(b) Using our chosen model, we have to find the change in y for one unit change in x.
As there is change in one unit in x.
The change in y
y=84.48 -15.87*1+1.768*1*1
y=70.378
(c) We have to find the proportion of variation explained by the model.
Proportion of variation explain by the model=(Regression SS)/(Total SS)
Proportion of variation explain by the model=525.11/586.88
Proportion of variation explain by the model=0.8947
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The write question is given below:
pls help asap! It’s due in one hour!!
1. x+y= 7
7x + ty = 77
The system above has NO SOLUTION when t= ?
2. x+y=7
7x+ty=49
The system above has INFINITELY MANY SOLUTIONS when t= ?
t is 35 for x+y= 7 and 7x + ty = 77, and the value of t is 7 for x+y=7 and 7x+ty=49
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given equations are x+y= 7..(1)
7x + ty =77
We need to find value of t.
Multiply equation 1 with 7
7x+7y-7x-ty=49-77
y(7-t)=-28
7-t=-28
-t=-28-7
-t=-35
t=35
Hence the value of t is 35
Now for equations x+y=7
7x+ty=49
7x+7y-7x-ty=49-49
7y-ty=0
y(7-t)=0
7-t=0
t=7
Hence the value of t is 7
Therefore, t is 35 for x+y= 7 and 7x + ty = 77, and the value of t is 7 for x+y=7 and 7x+ty=49
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What is the sum of
9
16
and
5
16
Answer:
To solve for the sum, add all whole numbers together.
Step-by-step explanation:
16 + 9 = 25 and 5 + 16 is 21.
Subtracting these values will give you positive 4, but that's extra.
Answer:
9+16=25 AND 5+16=21
Step-by-step explanation:
Use the Order of Opperations to calculate the answer.
Glven the following diagram, IfmXCOF = 150°, then mZBOC =
ADIS
B
D
Answer:
∠ BOC = 30°
Step-by-step explanation:
Given ∠ COF = 150°
∠ BOC + ∠ COF = 180° ( BF is a straight angle ) , that is
∠ BOC + 150° = 180° ( subtract 150° from both sides )
∠ BOC = 30°
IL GIVE BRAINLY IF YOU CAN HELP ME ON THESE 2
Answer:
THE answers to both questions are A
Step-by-step explanation:
Answer:
a for both
Step-by-step explanation:
just move point c on the graph where it tells u to. a translation only affects location
consider the partially completed anova table shown. supposing all groups are of the same size, how many values are in each group of the data set this is based on?
The number of values in each group of the data set would be equal to the degrees of freedom for each group plus one.
In order to determine the number of values in each group of the data set based on the partially completed ANOVA table, we need to consider the total number of observations and the number of groups.
The ANOVA table consists of three main components: "Source of Variation," "Sum of Squares (SS)," and "Degrees of Freedom (df)." The "Source of Variation" represents the different factors or groups in the data set, while the "Sum of Squares" measures the variability within each group. The "Degrees of Freedom" represents the number of independent pieces of information available for estimating the population parameters.
In this case, since all groups are of the same size, we can determine the number of values in each group by examining the "Degrees of Freedom" column. The degrees of freedom for each group is the group size minus one (df = group size - 1). By adding one to the degrees of freedom for each group, we obtain the number of values in each group.
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A cylindrical tank with radius 6 m is being filled with water at a rate of 2 m3/min. How fast is the height of the water increasing? Step 1 If h is the water's height, the volume of the water is V = r2h. We must find dV/dt. Differentiating both sides of the equation gives the following.
0.017 m/min is the height of increasing water.
What is the volume of a cylinder?
A cylinder's volume refers to the amount of interior room it has to hold a given quantity of material.
Formula to calculate the volume of a cylinder
volume = π r² h
where r is the radius of the cylinder and h is the height.
Here, we have
radius = 6m
dV/dt = 3
We have to find: dh/dt
volume = π r² h
Differentiating both sides with respect to t, we get
dV/dt = π[2r(dr/dt)h + r²(dh/dt)]
r remains constant (r = 6), dr/dt = 0
So, dV/dt = πr²(dh/dt)
Substituting the values, we get
2 = π(6)²(dh/dt)
dh/dt = 2/(36π)
= 0.017m/min
Hence, 0.017 m/min is the height of increasing water.
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in the fig given below .AB║DC find x
helpplzzz
Answer:
x = 150°
Step-by-step explanation:
The given parameters are;
AB ║ DC
∠BAE = 105°
∠AEC = 25°
We construct a line CF from C parallel to the line AE as presented in the included diagram created with Microsoft Visio
We have;
∠DCF ≅ ∠BAE = 105° by similar angles formed by two pairs of parallel lines
∠AEC = ∠ECF = 25° by alternate interior angles formed by two parallel lines and a common transversal
x = 125° + 25° = 150° By angle addition postulate
x = 150°.
Which ordered pair is a solution for this system of linear inequalities?
2x + 3y < 12
3x - 2y ≥ 18
A. (5,0)
B. (3,-1)
C. (-1,3)
D. (4,-9)
The ordered pair that is a solution for the inequality 2x + 3y < 12 and
3x - 2y ≥ 18 is
D. (4,-9)How to find the solutionThe solution is sought by substituting to each of the pair to the equation and comparing the answers
for D. (4,-9)
2 * 4 + 3 * -9 < 12
-19 < 12 correct
3x - 2y ≥ 18
3 * 4 - 2 * -9 ≥ 18
30 ≥ 18 correct
This proves that option D is the correct option
trying for A. (5,0)
2 * 5 + 3 * 5 < 12
25 < 12 incorrect
3x - 2y ≥ 18
3 * 5 - 2 * 0 ≥ 18
15 ≥ 18 incorrect
trying for B. (3,-1)
2 * 3 + 3 * -1 < 12
3 < 12 correct
3x - 2y ≥ 18
3 * 3 - 2 * -1 ≥ 18
11 ≥ 18 incorrect
When any part is incorrect the pair is not a solution
trying for C. (-1,3)
2 * -1 + 3 * 3 < 12
7 < 12 correct
3x - 2y ≥ 18
3 * -1 - 2 * 3 ≥ 18
-9 ≥ 18 incorrect
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-3 ( 5 - 2x ) = 3
Show work and you will get Brainliest
Answer:
x = 3.6
Step-by-step explanation:
-3 (5 - 2x) = 3
use the distributive property
-15 + 5x = 3
+15 +15
5x = 18
divide by 5
x = 3.6
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-Lil G
Calculate the missing number
7:3=?:9
Answer:
I think
63=3x
x=63÷3
x=21
What relationship do the ratios of sin x° and cos yº share?
a. The ratios are both identical (12/13 and 12/13)
b. The ratios are opposites (-12/13 and 12/13)
c. The ratios are reciprocals. (12/13 and 13/12)
d. The ratios are both negative. (-12/13 and -13/12)
The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.
In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.
Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.
It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.
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Erica has $5454 in her retirement account, and Joy has $5453 in hers. Erica is adding $19 per day, whereas Joy is contributing $20 per day. Eventually, the two accounts will contain the same amount. What balance will each account have? How long will that take?
Answer:
$5473 and it will take 1 day.
Step-by-step explanation:
You can add side by side until their the same answer.
\(5454\\ + 19\\5473\) \(5453\\+ 20\\5473\)
As you can see they both have the same amount of money in their retirement account after one day and they have the same total of $5473.
Next score the six tests (1 to 7) below from Exhibit 4.6 to your recommendation in
Q1. Write 5 to 9 lines to justify your score of each of the six tests. See an example on page 131. You need to write in six bullet points of 75 to 150 words for each test. (60 points with 10 points for each test) )
Publicity Test Score and reason
The Moral Mentor Test and reason
The Admired Observer Test and reason
The Transparency Test and reason
The Person in the Mirror Test
The Golden Rule Test
The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.
- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.
- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.
- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.
- The decision aligns with the organization's values and mission, which resonates positively with the public.
- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.
- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.
The Moral Mentor Test Score: 6
- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.
- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.
- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.
- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.
- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.
- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.
The Admired Observer Test Score: 9
- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.
- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.
- The decision is aligned with industry best practices and follows ethical guidelines.
- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.
- The decision is well-reasoned, considering both short-term and long-term implications.
- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.
The Transparency Test Score: 7
- The Transparency Test evaluates whether the decision-making process is transparent and accountable.
- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.
- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.
- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.
- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.
- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.
- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.
- The decision-maker has considered the ethical implications and personal integrity while making the decision.
- The decision reflects a commitment to fairness, honesty, and accountability.
I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.
- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.
- It reflects a commitment to fairness, equality, and reciprocity in relationships.
- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.
- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.
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PLEASE HLEP WILL GIVE BRAINLIEST
Answer:
Question number 1: Correlation = no. Causation = no.
Question number 2: Correlation = yes. Causation = no.
Question number 3: Correlation = yes. Causation = yes.
Step-by-step explanation:
Happy to help!
Please Help Me!!!!!!!!!!!!!!!!!!!!
Answer:
Option B is your answer ☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
divide 220 in the ratio 3:8
Answer:
500/(7+3)=50; 3*50=150, 7*50=350. 150:350=3:7
Step-by-step explanation:
o Ayan sinolve kayan geh pa follow po
220 is divided in the ratio 3:8 as 60 and 160 respectively.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
The given ratio is 3:8 and the number is 220.
Here, 3+8=11
Now, 3/11 ×220
= 3×20
= 60
8/11 ×220
= 8×20
= 160
Therefore, 220 is divided in the ratio 3:8 as 60 and 160 respectively.
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Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.
In triangle TRS, VZ = 6 inches. What is RZ?
In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The centroid Z of the triangle TRS. Line sections TW, RV, and SU are created by drawing lines from every point to the center of the opposing side.
We know that the centroid divides the median of the triangle in a ratio of 2: 1.
In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be
RZ / ZV = 2 / 1
RZ / 6 = 2
RZ = 6 x 2
RZ = 12 inches
In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.
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You have three numbers. Two of the numbers are 24 and 42. What is the GCF of these two numbers? The third number is greater than 42 and does not change the GCF. What is one possibility for the third number?
Answer: GCD(24,42) = 42
48 is one possibility for the third number.
Step-by-step explanation:
Given two numbers out of 3 are 24 and 42.
Prime factorization of 24 and 42 is
24 = 2 x 2 x 2 x 3
42= 2 x 3 x 7
We can see the greatest common division (GCD) of 24 and 42 = 2 x 3 = 6
Now if third number is greater than 42 and does not change the GCF, the we take nearest possible number as 42 + GCD(24,42) = 42+6 = 48
Such that GCD (24,42,48)=6
So, 48 is one possibility for the third number.