Lines CS and LR form vertical angles.
Vertical angles are pairs of opposite angles made by intersecting lines. If two angles are vertical then they are congruent (Have the same measure)
Then:
\(\angle5\cong\angle6\)In a triangle the sum of it's internal angles is always 180º.
\(\begin{gathered} \angle1+\angle3+\angle5=180º \\ \angle2+\angle4+\angle6=180º \end{gathered}\)Then, as:
\(\begin{gathered} \angle1\cong\angle2 \\ \angle5\cong\angle6 \\ \\ \end{gathered}\)The angles 3 and 4 are congruents too:
\(\angle3\cong\angle4\)Which data set has a mean absolute deviation of 0.64?
Please provide specific data sets, and I would be happy to help you calculate the mean absolute deviation and determine which one has a MAD of 0.64.
Hello! Based on your question, you'd like to know which data set has a mean absolute deviation (MAD) of 0.64. Unfortunately, without any specific data sets provided, I am unable to directly calculate the MAD for you. However, I can help explain the concept of mean absolute deviation and how to calculate it for a given data set.
Mean absolute deviation is a measure of dispersion or variability within a data set. It helps in understanding how spread out the data points are from the mean (average) of the data set. To calculate the MAD, follow these steps:
1. Compute the mean of the data set by adding all the data points and dividing the sum by the total number of data points.
2. Calculate the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value of the result.
3. Add all the absolute deviations obtained in step 2.
4. Divide the sum of absolute deviations by the total number of data points to get the mean absolute deviation.
When you find a data set with a MAD of 0.64, it indicates that, on average, the data points are 0.64 units away from the mean. Keep in mind that a smaller MAD value means the data points are closer to the mean, indicating less variability, whereas a larger MAD value indicates more variability within the data set.
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9. A car is traveling in a straight line path at a maximum speed of 7.00 m/s. The
driver of the vehicle applies the brakes bringing the car to a stop after traveling
10.0 m. What is the magnitude of the car's acceleration to the nearest
hundredths place?
Answer:
30mph
Step-by-step explanation:
The magnitude of the car's acceleration is 2.45 m/\(\rm sec^2\) and this can be determined by using the equation of kinematics.
Given :
A car is traveling in a straight-line path at a maximum speed of 7.00 m/s.The driver of the vehicle applies the brakes bringing the car to a stop after traveling 10.0 m.According to the kinematics:
\(\rm v = u + at\) --- (1)
where v is the final speed, u is the initial speed, a is the acceleration and t is time.
Now, put the known terms in equation (1).
0 = 7 + at
at = -7
\(\rm t = -\dfrac{7}{a}\) --- (2)
From the kinematics the displacement is given by the equation:
\(\rm S =ut+\dfrac{1}{2}at^2\)
Now, put the values of u, S, and t in the above equation.
\(10=7\times \dfrac{-7}{a}+\dfrac{1}{2}\times a \times \dfrac{49}{a^2}\)
Now, simplify the above equation.
\(10=-\dfrac{49}{a}+\dfrac{49}{2a}\)
20a = -49
a = -2.45
So, the magnitude of the car's acceleration is 2.45 m/\(\rm sec^2\).
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can someone please help
Answer:
The measure of CD is 46
Step-by-step explanation:
From the midpoint theorem, we have,
FG = (1/2)CD
so,
\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)
Now,
\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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Help! with math i am stuck
Answer:
The number can have no more than 5 digits
Step-by-step explanation:
Which scenario is the best example of a deus ex machina?
Answer:
D.
Step-by-step explanation:
Deus ex machina is the plot device of using something very improbable to resolve a situation.
2 x 1/2 x 2 1/2 = 2 1/2
Is this correct?
Answer:
Yes
Step-by-step explanation:
2 x 1/2 = 1
1 x 2 1/2 = 2 1/2
Answer:
Yes
Step-by-step explanation:
2 x 1/2= 1
1 x 2 1/2= 2 1/2
solve the inequality and graph the solution.
4 |3x + 5| ≤ 16
The solution to the inequality is -3 ≤ x ≤ -1/3
Solving inequality with modulusGiven the inequality:
4|3x+5| ≤ 16
Let us simplify it by dividing both sides by 4 to get:
|3x+5| ≤ 4
Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:
First: 3x+5 ≥ 0
In this case, the inequality simplifies to:
3x+5 ≤ 4
Subtracting 5 from both sides, we get:
3x ≤ -1
Dividing by 3 (which is positive) gives:
x ≤ -1/3
Second: 3x+5 < 0
In this case, the inequality simplifies to:
-3x-5 ≤ 4
Adding 5 to both sides, we get:
-3x ≤ 9
Dividing by -3 (which is negative and requires us to flip the inequality), gives:
x ≥ -3
Therefore, the solution to the inequality is:
-3 ≤ x ≤ -1/3
The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.
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What is the 24th term of -21, -14,-7,0,7,…
Answer:
140
If that's wrong, try 147
Step-by-step explanation:
With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):
\(y=7x-28\\\),
where our m (slope) is 7, and our b (y-intercept) is -28.
If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.
Hope this helps!
Question 39.Find the inverse of the given function. Graph both functions on the some set of axes and show the line y=x as a dotted line in the graph.
First, to find the inverse of a function, call the original function "x" and call call "x" in the original function as the inverse function:
\(\begin{gathered} f(x)=5x+1 \\ x=5f^{-1}(x)+1 \end{gathered}\)Now, we solve for the inverse function:
\(\begin{gathered} x=5f^{-1}(x)+1 \\ 5f^{-1}(x)+1=x \\ 5f^{-1}(x)=x-1 \\ f^{-1}(x)=\frac{x}{5}-\frac{1}{5} \end{gathered}\)To graph lines, we can find two points in it and draw a line that passes through both.
Let's pick x = 0 and x = 1 for the first equation:
\(\begin{gathered} f(0)=5\cdot0+1=1 \\ f(1)=5\cdot1+1=6 \end{gathered}\)So, we plot the points (0, 1) and (1, 6).
For the inverse, we can simply invet the coordinates, which is the same as picking x = 1 and x = 6:
\(\begin{gathered} f^{-1}(1)=\frac{1}{5}-\frac{1}{5}=0 \\ f^{-1}(6)=\frac{6}{5}-\frac{1}{5}=\frac{5}{5}=1 \end{gathered}\)Thus, we have the points (1, 0) and (6, 1).
The line y = x is jus the diagonal that passes though point (0, 0) and (1, 1), for example.
Putting these points and drawing the lines, we get:
Which of the following pairs show(s) two congruent triangles?
O B only
OB and C only
O A, B, and C
O A and C only
Answer:
B only
Step-by-step explanation:
Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.
Therefore, only B is correct
The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.
Explanation:The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.
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The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
What is the length of AD?'
Use the given information to complete the worksheet.
Thank you!
The length of side AD is,
⇒ AD = 16
We have to given that;
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
Since, Volume of right triangular prism is,
V = 1/2 (bh) x L
Substitute all the values we get;
V = 1/2 (22 × 11) × AD
1936 = 121 × AD
AD = 16
Thus, The length of side AD is, 16
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Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 151515 dollars. Select the equation that matches this situation. Choose 1 answer: Choose 1 answer: (Choice A) 5 = 15 \times w5=15×w5, equals, 15, times, w A 5 = 15 \times w5=15×w5, equals, 15, times, w (Choice B) w = 15 +5w=15+5w, equals, 15, plus, 5 B w = 15 +5w=15+5w, equals, 15, plus, 5 (Choice C) w = 5 \times 15w=5×15w, equals, 5, times, 15 C w = 5 \times 15w=5×15
The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.
Which equation correctly matches the given situation?It follows from the task content that the equation which correctly represents the Given situation is to be determined.
Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;
Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.
Consequently, answer choice C; w = 5 × 15 is correct.
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Select the correct answer.
Identify the axis of symmetry of the function graphed below.
A. X=1
B. X=3
C. X=5
D. X=4
Answer:
B. ( X = 3 )
Step-by-step explanation:
it's correct edmentum/plato
What could you do to make the inequalities that are not true into true statements
Answer: example, if both sides of the inequality are multiplied by a negative number, say -3, we get (-2) x (-3) < 7 x (-3) 6 < -21 When both sides of the inequality are multiplied by a negative number, the resulting inequality is not true. To make the resulting inequality true, we have to reverse the inequality symbol.
Find the 11th term of the geometric sequence 2, -6, 18, ...
1 | Find the equivalent to:
3.72
75
A. 7-6
B.
C.
710
D. 75
외모 시엇 지원 모은
Answer:
B) \(\frac{7}{7^5}\)
Step-by-step explanation:
\(\frac{7^3*7^-2}{7^5} =\frac{1}{2401}\)
\(\frac{7}{7^5} =\frac{1}{2401}\)
hope this helped!
brainliest please!
give the perimeter of each figure as a simplified expression
Answer:
5k² - 7k + 6
Step-by-step explanation:
The perimeter of the figure given = the sum of all sides of the figure.
Perimeter = (k² - 9k + 23) + (k² + k) + (k² + k) + (2k² - 17)
Simply the expression as follows:
Perimeter = k² - 9k + 23 + k² + k + k² + k + 2k² - 17
Combine like terms
Perimeter = k² + k² + k² + 2k² - 9k + k + k + 23 - 17 (like terms are terms with the same degree)
Perimeter = 5k² - 7k + 6
What is the product of 14.5×100
Answer:
1450
Step-by-step explanation:
Any number times 10 goes up one value.
ones become tens, and tens become hundreds etc..
87x10=870
And a number times 100 goes up two values.
23.5x100= 2350
hope this helped ;)
Step-by-step explanation:
you don't have a calculator ? with that you would have gotten the answer immediately.
so you had to write the question in here, need to wait for an answer, ...
but actually, this is very easy to solve even without a calculator, as this is how our decimal numbers work : based on powers of 10.
multiplying by 100 moves the decimal point 2 positions to the right (and fill up with zeros where necessary) :
14.5 × 100 = 1450
a multiplication by 10 moves the decimal point 1 position to the right.
a multiplication with 1000 3 positions to the right. and so on.
a division by 100 moves the decimal point 2 positions to the left (and fill up with zeros where necessary). and so on.
brianly: a pack of pens cost $3. Prisha spent $12 on pens. Each pack has 5 pens How many packs did Prisha buy?
(Pic) How many tablets, please help!
Show steps please
The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.
How to find the number of tablets ?To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).
1 milligram = 1, 000 micrograms ( μg )
25. 0 μg in milligrams is therefore:
= 25 / 1, 000
= 0. 025 mg
This means that the number of tablet to take is:
= Mg requirement / Mg of tablet
= 0. 025 / 0. 025
= 1 tablet
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Y’all got on Brainly quick it’s only Wednesday
Answer:
some ppl got summer school
Step-by-step explanation:
Please help me with this difficult question?!!
Ills help this work is due tommorow and I don’t get it
Assuming simplify fully means convert to one fraction
Answer:
\(\frac{3}{2x}\)
Step-by-step explanation:
We know that \(\frac{5}{x}=\frac{5\cdot 2}{x\cdot 2}=\frac{10}{2x}\). So, our expression is really just \(\frac{13}{2x}-\frac{10}{2x}\).
We can now combine the fractions together to get that \(\frac{13}{2x}-\frac{10}{2x}=\frac{13-10}{2x}=\frac{3}{2x}\).
So, the answer is \(\boxed{\frac{3}{2x}}\) and we're done!
Maria and Mark were saving money for their table and house at a ratio of 4:7. Maria had 186 dollars less than Mark. How much money did they save together?
Answer:
$682
Step-by-step explanation:
The sum of ratio units is 4+7 = 11. The difference is 7 -4 = 3. That is, the sum of amounts saved is 11/3 times the difference of amounts saved:
(11/3)($186) = $682
Together, Maria and Mark saved $682.
ken has saved $120 in the bank account. Do the following situations leaves ken with a balance of $0
The sum of the numbers is 66. The larger number is 16 more than the sanaller number, What are the numbers
Larger number: Smaller number:
Answer:
S 25, L 41
Step-by-step explanation:
Small + Large = 66
Large = Small + 16
s + (s + 16) = 66
2s + 16 = 66
2s = 50
s = 25
25 + Large = 66
Large = 41
Mr. Gupta gave his students a quiz with three questions on it. Let
�
XX represent the number of questions that a randomly chosen student answered correctly. Here is the probability distribution of
�
XX along with summary statistics:
�
=
# correct
X=# correctX, equals, start text, \#, space, c, o, r, r, e, c, t, end text
0
00
1
11
2
22
3
33
�
(
�
)
P(X)P, left parenthesis, X, right parenthesis
0.05
0.050, point, 05
0.20
0.200, point, 20
0.50
0.500, point, 50
0.25
0.250, point, 25
Mean:
�
�
=
1.95
μ
X
=1.95mu, start subscript, X, end subscript, equals, 1, point, 95
Standard deviation:
�
�
≈
0.8
σ
X
≈0.8sigma, start subscript, X, end subscript, approximately equals, 0, point, 8
Mr. Gupta decides to score the tests by giving
10
1010 points for each correct question. He also plans to give every student
5
55 additional bonus points. Let
�
YY represent a random student's score.
What are the mean and standard deviation of
�
YY?
The mean score of a random student (YY) is 574.5. the standard deviation of the random student's score (YY) is 8.
How to answer the aforementioned questionGiven:
- Each correct question is worth 10 points.
- Every student receives an additional 555 bonus points.
Let's calculate the mean and standard deviation of YY:
Mean of YY:
The mean score, denoted as μY, can be calculated using the mean of XX (μX) and the scoring scheme:
μY = μX * 10 + 555
Substituting the value of μX from the given information:
μY = 1.95 * 10 + 555
μY = 19.5 + 555
μY = 574.5
Therefore, the mean score of a random student (YY) is 574.5.
Standard Deviation of YY:
The standard deviation of YY, denoted as σY, can be calculated using the standard deviation of XX (σX) and the scoring scheme:
σY = σX * 10
Substituting the value of σX from the given information:
σY = 0.8 * 10
σY = 8
Therefore, the standard deviation of the random student's score (YY) is 8.
Complete question: Mr. Gupta gave his students a quiz with three questions on it. Let X represent the number of questions
that a randomly chosen student answered correctly. Here is the probability distribution of X along with
summary statistics:
0
1
2
2.
3
X = # correct
P(X)
0.05
0.20
0.50
0.25
Mean: Hex = 1.95
Standard deviation: Ox 0.8
Mr. Gupta decides to score the tests by giving 10 points for each correct question. He also plans to give
every student 5 additional bonus points. Let Y represent a random student's score.
What are the mean and standard deviation of Y?
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What information is necessary to prove two triangles are
similar by the SAS similarity theorem?
you need to show that two sides of one triangle are proportional to
Answer:
You must prove that 2 sides and an included angle of 2 triangles are congruent, hence the name of the theorem: SAS (side angle side)
FIRST PERSON TO ANSWER THIS GETS BRAINILEST.
Determine if the two expressions in each pair are equivalent.If they are equivalent,select the property that is illustrated.
Answer:
The second one is the Multiplicative Property of Zero.
The fourth one is the Commutative property.
Answer:
The second and third one
Step-by-step explanation: