Answers
Given in the question,
a.) △LMN
b.) ∠L is triple ∠M
c.) ∠N is double ∠M
From the given relationship, let's put them into an expression:
∠L is triple ∠M:
\(\angle L\text{ = 3}\angle M\)∠N is double ∠M:
\(\angle N\text{ = 2}\angle M\)Let's recall that the sum of all interior angles of a triangle is 180°. Thus, in expression, we get:
\(\angle L\text{ + }\angle M\text{ + }\angle N=180^{\circ}\)Substituting the equivalent ratio of ∠L and∠N with respect to ∠M, we get:
\(\text{3}\angle M\text{ + }\angle M\text{ + 2}\angle M=180^{\circ}\text{ }\rightarrow\text{ }\angle M\text{ + 3}\angle M\text{ + 2}\angle M=180^{\circ}\)Therefore, the answer is letter A.
Related Questions
An advertising agency increased their fees to an $80 setup fee plus $4 for every advertisement. Write a rule for the new fee. Write ordered pairs for the fees for 10, 20, 30, and 40 advertisements.
a. y = 80 + 4 + x
(120, 10), (160, 20), (200, 30), (240, 40)
b. y = 80 + 4x
(10, 120), (20, 160), (30, 200), (40, 240)
c. y = 80 + 4x
(120, 10), (160, 20), (200, 30), (240, 40)
d. y = 80 + 4 + x
(10, 120), (20, 160), (30, 200), (40, 240)
please help !!!!
Answers
Answer:
b.
Step-by-step explanation:
As it says there is already a set up fee of $80 and it is $4 FOR EVERY advertisement, the equation would be y = 80 + 4x. Obviously, y should be greater than x since you are calculating the cost and not anything else, so b should be your answer. Even without logically guessing, the equation proves that b is correct.
Hope this helped!
Which of the following is false about the central limit theorem (CLT)? O If we take more samples from the original population, the sampling distribution is more likely to be nearly normal. O If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. O As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution. O The CLT states that the sampling distribution will be centered at the true population parameter.
Answers
Only the first statement is false. The rest are true statements about the Central Limit Theorem.
The Central Limit Theorem (CLT) is a fundamental theorem in probability and statistics which states that, given a sufficiently large sample size from a population with a given mean and standard deviation, the sampling distribution of the mean will be nearly normal, regardless of the shape of the original population distribution.
It is important to note that the first statement presented is false. Taking more samples from the population will not necessarily result in a more normal sampling distribution. The CLT does not guarantee that the sampling distribution will be normally distributed, only that it is more likely to be so as the sample size increases.
The second statement is true. If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size. The third statement is also true. As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.
Finally, the fourth statement is also true. The CLT states that the sampling distribution will be centered at the true population parameter. This means that the mean of the sampling distribution will be equal to the mean of the population.
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A pile of string measures to be 4 5/6 feet long. For a project Ms. Thompson wants to cut the long piece of string into several smaller pieces. Each piece that she cuts will measure 2/3 feet. How many whole pieces can she cut from the original piece of string if each piece is 2/3 feet long?
Answers
Answer:
7 pieces
Step-by-step explanation:
change 4 5/6 into an irregular fraction. 29/6
divide 29/6 by 2/3. to do this, flip and multiply
29/6 * 3/2 = 87/12 = 7.25 or 7 whole pieces
What is the difference in length between the longest meteor and the shortest meteor?
Answers
1 5/8
You need to subtract 2/8 from 1 7/8. The numbers are already common denominators, so it's much easier to subtract.
1 7/8-2/8
=1 5/8
find the surface area of the prism
Answers
Answer: 132 cm cubed
Step-by-step explanation:
0.5*3*4*2=12
10*5=50
4*10=40
3*10=30
30+40+50+12=132 cm cubed
Write the statement as a rate.
s for $.
Question content area bottom
Part 1
Choose the correct answer below.
A.StartFraction $ 1 Over 34 movies EndFraction
B.StartFraction $ 6 Over 1 movie EndFraction
C.StartFraction 34 movies Over $ 6 EndFraction
D.StartFraction 6 movies Over $ 34 EndFraction
Answers
The cοrrect expression is D.\(\frac{6 movies}{\$34}\).
What is wοrd prοblem?Wοrd prοbIems are οften described verbaIIy as instances where a prοbIem exists and οne οr mοre questiοns are pοsed, the sοIutiοns tο which can be fοund by appIying mathematicaI οperatiοns tο the numericaI infοrmatiοn prοvided in the prοbIem statement. Determining whether twο prοvided statements are equaI with respect tο a cοIIectiοn οf rewritings is knοwn as a wοrd prοbIem in cοmputatiοnaI mathematics.
Here , the given statement is BiIIy buys 6 mοvies fοr $34.
Nοw , cοst fοr οne ticket = Number οf mοvies / tοtaI cοst
=> \(\frac{6}{\$34}\)
Hence the cοrrect option is D.\(\frac{6 movies}{\$34}\).
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Brainliest for correct answer
Answers
Answer:
261.67 cubic feet
Use the Cone Volume formula V=πr^2 h/3
Y-intercept of -2x+1/2y=18
Answers
Answer:
(0,36)
(Sorry, I don't have time to explain at the moment, but when you calculate your answer and plot two points on a graph, the line would pass the y-axis at 0,36!)
Find the Central Angle
mXY = = 18 in
radius ZY = 7.64 in
Answers
The central angle is approximately 2.357 radians.
To find the central angle, we can use the formula:
Central angle (θ) = arc length ÷ radius
Given:
Arc length (mXY) = 18 in
Radius (ZY) = 7.64 in
Plugging in the values:
Central angle (θ) = 18 in ÷ 7.64 in
Calculating the division:
θ ≈ 2.357 radians
Therefore, the central angle is approximately 2.357 radians.
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can someone help me with this
Answers
Answer: 80 in 5 seconds and 9 seconds for 144 feet
Step-by-step explanation:
16 x 5 =80
144 \ 16 =9
What must be true in order for AABC = AEDC by the SAS Congruence Postulate?
PLEASE HELP <3
Answers
Answer:
B
Step-by-step explanation:
81502
18150220
5
Order 0.54, and 45%, from least to greatest.
4'
Answers
Answer:
\(0.45, 0.54\)
Step-by-step explanation:
Given
\(0.54\ and\ 45\%\)
Required
Order from least to greatest
We start by converting 45% to decimal
\(45\% = \frac{45}{100}\)
\(45\% = 0.45\)
So, the numbers are:
\(0.54\ and\ 0.45\)
On a number line:
0.45 comes before 0.54
This implies that:
\(0.45 < 0.54\)
And the required order is:
\(0.45, 0.54\)
A psychology professor wants to know whether verbal ability is related to memory quality in current first-year students at her small college. Participants in the study (first-year students at her college) complete an online memory task. The students are first shown a list of 60 words. Next they are shown a list of 10 words that were on the original list. Then they are asked to identify the words on the second list that appeared on the original list. She uses the percentage of words that were correctly recognized on the original list as her measure of memory quality. She also asks the students to report several characteristics such as their age, gender, and verbal SAT score. Each of the 750 first-year students (338 males and 412 females) at her school volunteers to participate. The professor chose 75 students at random to complete the memory task and answer the questions. The average percentage of words that were correctly recognized on the original list was 68%. The professor infers that if all 750 first-year students had completed the study, the results would show that an average of 68% (plus or minus sampling error) of the words were correctly recognized as being on the original list. Which of the following are variables in the study? Check all that apply.
A. The students' verbal SAT scores
B. The students' percentage of words that were correctly recognized on the original list
C. The 75 students
D. The 750 students
Answers
Answer:
The variable are
A and B
Step-by-step explanation:
Generally we can define a variable as a name of a placeholder representing a value now considering the option to be selected from we see that
The students' verbal SAT scores is a variable because it is a phrase or a place holder that represent a value (in the is case a numerical value) which the score its self
The second option The students' percentage of words that were correctly recognized on the original list is also a variable because it is a placeholder of a name (in this case a phrase ) that represented the actual value itself
The third option The 75 students is not a variable because it is not representing any value but itself is the value
The third option The 750 students is not a variable because it is not representing any value but itself is the value
A jet airplane has a passenger upto 90% of it's capacity. How many passengers was the jet carrying if it's capacity was 830 passengers? please solve
Answers
Given:
A jet airplane has a passenger upto 90% of it's capacity. How many passengers was the jet carrying if it's capacity was 830 passengers?
Capacity of jet airplane = 830 passengers
It can carry 90% of its capacity = 90% of 830 90/100 X 830= 747
Thus, the jet airplane was carrying 747
passengers
Subtract 95 800 by 28 766 ?
please please please help!!
Answers
Answer: 95,800 - 28,766 = 67,034
Step-by-step explanation: hope this helps :)
The vertices of a polygon are L(2,4) M (2,7) N (8,7) O (8,4) P(6 0), and Q(4,0)Graph the polygon. Then
find its area
Answers
According to the information, we can infer that the area of this polygon is 34 units².
How to find the area of the figure?To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.
Rectangle 1
6 * 3 = 18
Rectangle 2
2*4=8
Triangle 1
2 * 4 / 2 = 4
Triangle 2
2 * 4 / 2 = 4
Total Area
18 + 8 + 4 + 4 = 34
Based on the above, we can infer that the total area of the polygon is 34 ² units.
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Consider a triangle ABC like the one below. Suppose that B=111°, C=43°, and c=4. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
Answers
Answer- D= 26° b= 5.48 d=2.57
Given the formula A = 5h (B + b); solve for B.
2
Answers
Answer:
A=5h(B+b)
A/5h=B+b
A/5h - b= B
795 times 12 then add 6754 then divided by 7
Answers
2,327.71
Answer:
795 * 13 + 6754 / 7 = 2,327.71
Step-by-step explanation:
795 * 13 + 6754 / 7 = 2,327.71
If a loading ramp is placed next to a truck, at a height of 8
feet, and the inclined portion of the ramp is 17 feet long, what angle (in degrees) does the ramp make with the ground?
Round your answer to one-tenth of a degree.
Answers
The angle that the ramp makes with the ground is approximately 28.07 degrees.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):
Sin(θ) = 8/17
We can use a calculator to find the inverse sin of this ratio to get the angle θ:
θ = sin⁻¹(8/17)
θ ≈ 28.07 degrees
Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.
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Determine if the transformation of figure a to figure b is a dilation
Answers
Solve the triangle. Round your answers to the nearest tenth. 27 degrees
Sorry never mind! Got it! Can’t delete!
Answers
One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.
The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.
To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.
To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.
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Boris started on the treadmill after setting timer for 99 minutes. The display says he have finished 43% of his run. How many minutes have gone by. Round to the nearest tenth
Answers
99 minutes * 0.43 = 42.57 minutes
Rounding to the nearest tenth, we can say that approximately 42.6 minutes have gone by.
Which of the following sets are equal to each other: Ø, {Ø}, {Ø}?
Answers
Answer:
{Ø}, {Ø} - these two
what 30 + 30+60+(56)-82=?
Answers
94 is the correct answer for that question
Step-by-step explanation:
30+30+60+56-82=94
I think it’s 40%, am I correct?
Answers
my thought process is
There are 100 ticks (20 spaces with 5 marks)
the area it wants has 6 large spaces (6*5=30) and 3 marks
30+3 is 33
I need help on this plz plz plz
Answers
Answer:
j=13.5
Step-by-step explanation:
What is the slope of the equation y=5/4x-7/4?
o -7
o -7/4
o 5/4
o 5
Answers
Answer:
5/4
Step-by-step explanation:
for an equation in y = mx + b form, the slope is m (the number that's paired with the x)
Find the area of the shape.
Answers
Answer:
3π ≈ 9.42 square units
Step-by-step explanation:
The figure shows 3/4 of a circle. So, its area will be 3/4 the area of a circle with radius 2 units.
Area formulaThe formula for the area of a circle is ...
A = πr²
Using the given radius of 2, the area is ...
A = π(2²) = 4π
The area of the shape is 3/4 of that, or ...
shape area = (3/4)(4π) = 3π ≈ 9.42 . . . square units
Two sides of a triangle have lengths 43 and 67. The angle included between these sides measures 27degrees°. To the nearest hundreth, what is the length of the third side?
Answers
The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.
1. We have a triangle with two known side lengths: 43 and 67 units.
2. The angle included between these sides measures 27 degrees.
3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.
4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).
5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.
6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.
7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.
8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.
9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.
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