Answers
Answer:
B
Step-by-step explanation:
120 is less than 130 and 130 is less than 180
The orders that the angles of triangle ABC from smallest to largest measure is C. ∠B, ∠C, ∠A
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry. A right-angled triangle is a triangle having one of its angles with a measure of 90°. The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.
We can see that angle A is the largest angle in the triangle, so it's going to be last in order.
Then the side AB is the second biggest , so the angle C is the second largest angle.
And then the last is angle B.
Therefore, the order must be ∠B < ∠C < ∠A
Hence, The orders that the angles of triangle ABC from smallest to largest measure is C. ∠B, ∠C, ∠A
Learn more about triangle here:
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Related Questions
A survey found that the average daily cost to rent a car in Los Angeles is $102.24 and in Las Vegas is $97.35. The data were collected from two random samples of 40 in each of the two cities and the population standard deviations are $5.98 for Los Angeles and $4.21 for Las Vegas. At the 0.05 level of significance, construct a confidence interval for the difference in the means and then decide if there is a significant difference in the rates between the two cities. Let the sample from Los Angeles be Group 1 and the sample from Las Vegas be Group 2.Confidence Interval (round to 4 decimal places):
< mu1 - mu2 <
Is there a significant difference in the means?
Answers
Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
Where
x1 = average daily cost to rent a car in Los Angeles
x2 = average daily cost to rent a car in Las Vegas
s1 = sample standard deviation for Los Angeles
s2 = sample standard deviation for Las Vegas
n1 = number of sampled cars in Los Angeles
n2 = number of sampled cars in Las Vegas
Degree of freedom = (n1 - ) + (n2 - 1) = (40 - 1) + (40 - 1) = 38
For a 95% confidence interval, the t score from the t distribution table is 2.024
From the information given,
x1 = 102.24
s1 = 5.98
n1 = 40
x2 = 97.35
s2 = 4.21
n2 = 40
x1 - x2 = 102.24 - 97.35 = 4.89
Margin of error = z√(s1²/n1 + s2²/n2) = 2.024√(5.98²/40 + 4.21²/40) = 2.024√1.3371125
= 2.34
The 95% confidence interval is 4.89 ± 2.34
Hypothesis testing
This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean average daily cost to rent a car in Los Angeles and μ2 be the the mean average daily cost to rent a car in Las Vegas
The random variable is μ1 - μ2 = difference in the mean average daily cost to rent a car in Los Angeles and the mean average daily cost to rent a car in Las Vegas
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 > μ2 H1 : μ1 - μ2 > 0
This is a two tailed test
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(x1 - x2)/√(s1²/n1 + s2²/n2)
t = (102.24 - 97.35)/√(5.98²/40 + 4.21²/40)
t = 4.23
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [5.98²/40 + 4.21²/40]²/[(1/40 - 1)(5.98²/40)² + (1/40 - 1)(4.21²/40)²] = 1.78786983766/0.02552804373
df = 70
We would determine the probability value from the t test calculator. It becomes
p value = 0.00007
Since alpha, 0.05 > than the p value, 0.00007, then we would reject the null hypothesis. Therefore, at 5% significance level, there is sufficient evidence to conclude that there is a significant difference in the rates between the two cities.
In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.
Required:
a. Compute the z or t value of the sample test statistic.
b. At the α = 0.05 level of significance, does the nutritionist have enough evidence to reject the writer's claim?
Answers
Answer:
a
[tex]t = 1.9166[/tex]
b
The nutritionist does not have sufficient evidence to reject the writers claim
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 75[/tex]
The sample size is [tex]n = 20[/tex]
The sample mean is [tex]\= x = 78[/tex]
The standard deviation [tex]\sigma = 7[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Now the
Null Hypothesis is [tex]H_o : \mu = 75[/tex]
Alternative Hypothesis is [tex]\mu \ne 75[/tex]
generally the degree of freedom is mathematically represented as
[tex]df = n-1[/tex]
[tex]df = 20 -1[/tex]
[tex]df = 19[/tex]
For a significance level of 0.05 and 19 degrees of freedom, the critical value for the t-test is 2.093. This is obtain from the t-distribution table
The test statistic is mathematically evaluated as
[tex]t = \frac{ \= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{78 - 75 }{\frac{7 }{\sqrt{20} } }[/tex]
[tex]t = 1.9166[/tex]
Since the test statistic is below the critical value then the Null hypothesis can not be rejected
So we can conclude that the nutritionist does not have sufficient evidence to reject the writers claim
25e +-6e7 =
What the answer
Answers
Answer:
-6511.8
Step-by-step explanation:
Mandy and Priscilla shared a packet of stickers.At first, the number of stickers Mandy had was 1/4 of the number of stickers Priscilla had. When the girls bought another 28 stickers each, the number of stickers Priscilla had was 1/5 more than the number of stickers Mandy had. How many stickers were there in the packet? Solve if you can, using ALGEBRA ONLY, pls.
Answers
Answer:
10 stickers.
Step-by-step explanation:
Let's say that Mandy has m stickers, and Priscilla has p stickers.
m = 1/4p
6/5(m + 28) = p + 28
6/5(1/4p + 28) = p + 28
1/4p + 28 = 5/6p + 23 and 1/3
5/6p - 1/4p = 28 - 23 and 1/3
10/12p - 3/12p = 84/3 - 70/3
7/12p = 14/3
p = (14/3)(12/7)
p = 8
At the beginning, Priscilla had 8 stickers. That means that Mandy had 1/4 * 8 = 8 / 4 = 2 stickers.
So, in the packet, there were 8 + 2 = 10 stickers.
Hope this helps!
Translate the following into algebraic expressions: The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?
Answers
Answer:
(a + b + c)/2
Step-by-step explanation:
Number of kids in first class: a
Number of kids in second class: b
Number of kids in third class: c
The total number of kids in all classes is: a + b + c
The total number of kids is divided equally between 2 buses:
(a + b + c)/2
Answer:
(a + b + c)/2
Step-by-step explanation:
;)
Do Audience Ratings Differ Based on the Genre of the Movie? The dataset HollywoodMovies includes a quantitative variable on the Audience-Score of the movie as well as a categorical variable classifying each movie by its Genre. The computer output above gives summary statistics for audience ratings based on genre for a sample of the movies, using four of the possible genres. Variable Genre N Mean StDev Minimum Qi Median Q3 Maximum Audience Score Action 32 58.63 18.39 32.00 44.50 51.00 78.00 93.00 Comedy 27 59.11 15.68 31.00 48.00 58.00 71.00 93.00 Drama 21 72.10 14.55 46.00 59.00 72.00 84.50 91.00 Horror 17 48.65 15.88 25.00 34.00 52.00 60.50 78.00 (a) Which genre has the highest mean audience score? The lowest mean audience score? (b) Which genre has the highest median score? The lowest median score? (c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score? (d) Which genre has the largest number of movies in that category? (e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and , for the mean horror score.
Answers
Answer:
Step-by-step explanation:
Hello!
(a) Which genre has the highest mean audience score? The lowest mean audience score?
1) Action [tex]\frac{}{X}_1[/tex]= 58.63
2) Comedy [tex]\frac{}{X}_2[/tex]= 59.11
3) Drama [tex]\frac{}{X} _3[/tex] = 72.10
4) Horror [tex]\frac{}{X}_4[/tex]= 48.65
The lowest mean score is [tex]\frac{}{X}_4[/tex]= 48.65
The highest mean score is [tex]\frac{}{X} _3[/tex] = 72.10
(b) Which genre has the highest median score? The lowest median score?
1) Action Me₁= 51.00
2) Comedy Me₂= 58.00
3) Drama Me₃= 72.00
4) Horror Me₄= 52.00
The Lowest median is Me₁= 51.00
The Highest median is Me₃= 72.00
(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?
Lowest or minimum scores:
1) Action 32.00
2) Comedy 31.00
3) Drama 46.00
4) Horror 25.00
The genre with the lowest score is "Comedy"
Highest or maximum scores:
1) Action 93.00
2) Comedy 93.00
3) Drama 91.00
4) Horror 78.00
There are two genres with the highest score "Action" and "Comedy"
(d) Which genre has the largest number of movies in that category?
The number of movies for each category corresponds to the sample sizes:
1) Action n₁= 32
2) Comedy n₂= 27
3) Drama n₃= 21
4) Horror n₄= 17
The largest number of movies sampled was for the genre "Action"
(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.
Comedy [tex]\frac{}{X}_C[/tex]= 59.11
Horror [tex]\frac{}{X}_H[/tex]= 48.65
[tex]\frac{}{X}_C[/tex] - [tex]\frac{}{X}_H[/tex]= 59.11 - 48.65= 10.46
I hope this helps!
I NEED HELP PLEASE, THANKS! :) Write the augmented matrix for the system of linear equations. –9w + x + 8y + 2z = –6 –5x + 9y – 7z = 6 –3w – 6x + 4y + 9z = 4 –3w – 8x + y = –2
Answers
Answer:
3rd Matrix
Step-by-step explanation:
When you start putting the coefficients in as the matrix, you see that -9 has to be the 1st number, so that eliminates choice B and choice D as answers. You are left with choices A and C. C is the correct choice because when you plug in the second equation, your coefficient is -5, not 0.
Answer:
First Matrix
Step-by-step explanation:
Looking at the first equation, we see that the leading coefficient is -9. This gets rid of choice B and D because the first number in these matrices are not -9. You are left with choices A and C. Looking at the second equation, we see that there is no "w" variable, so we need to add one. The coefficient of this "w" is going to be 0. This means that A is the correct choice. Just to be sure though, evaluate all other coefficients to see if they line up with the matrix. Hope this helps.
In a study of the accuracy of fast food drive-through orders, Restaurant A had 249 accurate orders and that were not accurate. a. Construct a 90% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part (a) to this 90% confidence interval for the percentage of orders that are not accurate at Restaurant B:0.164< p <0.239. What do you conclude? a. Construct a 90% confidence interval. Express the percentages in decimal form. nothingp nothing (Round to three decimal places as needed.) b. Choose the correct answer below. A. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B. B. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate. C. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate. D. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate. Click to select your answer(s).
Answers
Complete Question
In a study of the accuracy of fast food? drive-through orders, Restaurant A had 249 accurate orders and 80 that were not accurate.
a. Construct a 90?% confidence interval estimate of the percentage of orders that are not accurate.
b. Compare the results from part? (a) to this 90?% confidence interval for the percentage of orders that are not accurate at Restaurant? B: 0.164< p <0.239. What do you? conclude?
Choose the correct answer below.
A. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.
B. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate.
C. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
D. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant? A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate.
Answer:
a
The 90?% confidence interval is [tex]0.2041 < p < 0.282[/tex]
b
Option A is the correct option
Step-by-step explanation:
From the question we are told that
The sample size is n = 249+80 = 329
The number that are not accurate is k = 80
Generally the sample proportion of orders that are not accurate is mathematically evaluated as
[tex]\r p = \frac{ 80 }{329}[/tex]
[tex]\r p = 0.243[/tex]
Given that the confidence level is 90% then the level of significance is mathematically evaluated as
[tex]\alpha = 100 -90[/tex]
[tex]\alpha = 10\%[/tex]
[tex]\alpha = 0.10[/tex]
Next we obtain the critical value of [tex]\frac{ \alpha }{2}[/tex] from the normal distribution table, the value is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p (1- \r p )}{n} }[/tex]
=> [tex]E = 1.645* \sqrt{ \frac{0.243 (1- 0.243 )}{329} }[/tex]
=> [tex]E = 0.0389[/tex]
Generally the 90% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.2041 < p < 0.282[/tex]
Comparing the two 90% confidence of restaurant A and B we see that they overlap and Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.
F(x)=|x+3|-1 range and domain
Answers
Hey there! :)
Answer:
Domain: (-∞, ∞)
Range: [-1, ∞)
Step-by-step explanation:
This is an absolute-value function. (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:
Domain: (-∞, ∞)
Range: [-1, ∞)
Find the magnitudes of sides x and y.
Answers
Answer:
x ≈ 13.8 units
y ≈ 22.0 units
Step-by-step explanation:
We must use trigonometry to address this problem.
First, we know that y is the side opposite to the labelled angle, and x is the side adjacent to the labelled angle. 26 is the length of the hypotenuse.
We use cosine to find x (because cosine = adjacent / hypotenuse) and sine to find y (because sine = opposite / hypotenuse).
cos(58) = x/26
x = 26 * cos(58) ≈ 13.8
sin(58) = y/26
y = 26 * sin(58) ≈ 22.0
Thus, x ≈ 13.8 units and y ≈ 22.0 units.
~ an aesthetics lover
Please answer this correctly
Answers
Answer:
1/2
Step-by-step explanation:
The numbers that are 6 or even on the cards are 2, 4, and 6.
3 cards out of a total of 6 cards.
3/6 = 1/2
Answer:
1/2 chance
Step-by-step explanation:
There are 3 numbers that fit the rule, 2, 4, and 6. 3/6 chance of picking one or 1/2, simplified.
The perimeter of the rectangle shown below is 24 feet. What's the length of side x?
8 ft.
4 ft
811
A. 3 feet
B. 4 feet
C. 14 feet
D. 6 feet
Answers
Answer:
b)4feet
Step-by-step explanation:
In a rectangle two sides are equal.
Perimeter is the distance around the rectangle thus.
length=24-8-4-8
length=4
Bob's mom is 3 times older than Bob. In 12 years, Bob's mom's age will be twice of
her son's. How old are Bob and Bob's mom now?
Answers
I would use a chart to solve this problem.
This is a good wya to organize your information.
Down the left side, list the people involved.
I put Bob first and the mom second but the order doesn't matter.
Since Bob's mom is 3 times older than Bob, we can represent
Bob's age now as x and Bob's mom's age now as 3x.
Bob's age in 12 years will be x + 12 and Bob's mom's
age in 12 years will simply be 3x + 12.
Since the second sentence starts with in 12 years,
we will be using the information from our second column.
In 12 years, Bob's mom's age, 3x + 12, will be,
equals, twice of her son's age, 2(x + 12).
Solving from here, we find that x = 12.
This means that Bob's age now is 12 and his mom is 36.
The chart is attached below.
Answer:
12 and 36 = bob is 12 and bob's mother is 36
Find the slope on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answers
Answer:
Step-by-step explanation:
(-2,2) (2,-4)
(-4-2)/(2+2)= -6/4= -3/2 is the slope of the graph
The bill for your dinner was $12 and you paid $4 gratuity. What percent gratuity did you
give?
Answers
Answer:
33.333333333333%
Rounded: 33%
Transformations of exponential functions
Answers
Answer:
second option
Step-by-step explanation:
It is down by 2 units because the -2 is outside of the exponent. Since it's -2 and not +2, it shifts down.
Answer:
shift it down 2 units
Step-by-step explanation:
y = f(x) + C C < 0 moves it down
f(x) = 3^x -2 will shift it down 2 units
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 8 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly one insect will survive?
Answers
Answer:
19.77% probability that exactly one insect will survive
Step-by-step explanation:
For each insect, there are only two possible outcomes. Either they survive, or they do not. The probability of an insect surviving is independent of other insects. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A certain insecticide kills 70% of all insects in laboratory experiments
So 100 - 70 = 30% survive, which means that [tex]p = 0.3[/tex]
A sample of 8 insects is exposed to the insecticide in a particular experiment.
This means that [tex]n = 8[/tex]
What is the probability that exactly one insect will survive?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977[/tex]
19.77% probability that exactly one insect will survive
what is the next term in the pattern 2, 3/2, 4/3, 5/4
Answers
Answer:
6/5, 7/6
Step-by-step explanation:
The nth term is (n+1)/n
2/1, 3/2, 4/3, 5/4
Put n as 5 and 6.
(5+1)/5
= 6/5
(6+1)/6
= 7/6
To compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected.This study uses_________ design
Answers
Answer:
An independent sample.
Step-by-step explanation:
In this scenario, to compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected. We can safely conclude that this study uses an independent sample design.
An independent sample design can be defined as a research method that usually involves the use of multiple experimental groups (two or more). The samples or participants are only in one group and as such each group has no relationship with the other. This simply means that, the samples in a particular group is having no relationship with the other samples in another group.
Ultimately this implies, each samples are independent and satisfies only one condition of the independent sample design during the experiment to compare the production technique used by foreign and local firms in Brazil.
Hence, the researcher would use only two variables or conditions: a random sample of 80 foreign firms and a random sample of 80 local firms are selected.
please help me with this
Answers
Answer:
Volume = 160 cm³ (Unit = cm³)
Step-by-step explanation:
Length = 4 cm
Width = 4 cm (Because it's a square based cuboid!)
Height = 10 cm
Now, Volume:
Volume = [tex]Length * Width*Height[/tex]
Volume = 4 * 4 * 10
Volume = 160 cm³
Answer:
160 cm³
Step-by-step explanation:
The base is a square. The side length of the base is 4 cm.
The volume of a square-based cuboid is the area of square × height or length.
4² × 10
16 × 10
= 160
The volume of the square-based cuboid is 160 cm³.
What measurement is a perfect square
Answers
Answer:
The area of a rectangle with length of 5 and width of 5.
Step-by-step explanation:
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself.
area = lxw
A=5x5 (5 times itself)
A=25
therefore it is a perfect square
b I just did the unit test review this morning
C equals 2 pi r; Cequals62.8 (Circumference of a circle)
Answers
Answer:
about 10
Step-by-step explanation:
62.8 = 2 pi r/2
62.8/2 = pi r
31.4/pi = pi r/pi
about 10 = r
Solve the following system of equations: x − 2y = 14 x + 3y = 9 (1, 12) (−1, −12) (12, −1) (12, 1)
Answers
Answer:
work is shown and pictured
answer is c
Answer:
the correct answer among the choices is C
Step-by-step explanation:
Use the place value chart to write 9.807.
Answers
Answer:
9 ones, 8 tenths, 0 hundredths, 7 thousandths
Step-by-step explanation:
Answer:
9 thousands
8 hundreds
0 tens
7 ones
Step-by-step explanation:
Hope it helped!
I want to fence in a rectangular vegetable patch. The fencing for the east and west sides costs $2 per foot, and the fencing for the north and south sides costs only $1 per foot. I have a budget of $40 for the project. What is the largest area I can enclose
Answers
Answer:
largets area is 32 feet cubed
Step-by-step explanation:
8=4 foot 2 for each side w and e and 32feet n and s 16 each side
Each side of a fair, six-sided die has a certain number of dots on it, 1,2,3,4,5, or 6. The die is rolled by a board game player as part of their turn. Identify the correct experiment, trial, and outcome below:A. The experiment is identifying the number that is rolled on the die. B. The experiment is rolling the die. rolling of the die. C. A trial is one rolling of the die. D. The trial is identifying the number on the die. E. The outcome is rolling the die. F. The outcome is the number that is rolled on the die.
Answers
Answer:
B. The experiment is rolling the die.
C. A trial is one rolling of the die.
F. The outcome is the number that is rolled on the die.
Step-by-step explanation:
An experiment is defined as an act or operation for the purpose of discovering something unknown. In this case the player is rolling the die to discover a number, thus the experiment is rolling the die.
A trial is a single performance of a defined experiment, since we already know what the experiment is, a trial is one rolling of the die.
The outcome is the observed result from a trial or experiment, in this case, the outcome is the number that is rolled on the die.
Answer:
There are 6 sides like you mentioned but there is an outcome.
The outcome would be the number rolled on the die So you are likely to get 1 out of 6 numbers on one roll
One of the space shuttle’s external tanks can carry up to 200,000 gallons of fuel. It used 170,000 gallons of fuel in this tank to leave the atmosphere. What percentage of the fuel capacity does the shuttle still have?
Answers
Answer:
15%
Step-by-step explanation:
The tank's capacity is 200,000 gallons.
170,000 gallons were used.
200,000 - 170,000 = 30,000
30,000 gallons of fuel are still there.
percent = part/total * 100%
percent = 30,000/200,000 * 100% = 15%
Amanda is constructing equilateral triangle JKL inscribed in circle M. To construct the inscribed polygon, she is going to use a compass to partition the circle into congruent arcs. To what width should she set the compass when partitioning the circle? A. The width must be equal to the radius of circle M. B. The width must be equal the diameter of circle M. C. The width can be equal to either the radius or the diameter of circle M. D. The width can be any size greater than the radius but less than the diameter of circle M. E. The width must be less than the radius of circle M. help meee please!!!!!!!!!!!!!!!!!
Answers
Given:
An equilateral triangle JKL inscribed in circle M.
Solution:
To draw an equilateral triangle inscribed in circle follow the steps:
1: Draw a circle with any radius.
2. Take any point A, anywhere on the circumference of the circle.
3. Place the compass on point A, and swing a small arc crossing the circumference of the circle.
Remember the span of the compass should be the same as the radius of the circle.
4. Place the compass at the intersection of the previous arc and the circumference and draw another arc but don't change the span of the compass.
5. Repeat this process until you return to point A.
6. Join the intersecting points on the circle to form the equilateral triangle.
So the correct option is A. The width must be equal to the radius of circle M.
Robert is 15 years older than his sister, Helen. The sum of their ages is 63. Find their ages.
Answers
Answer:
Helen is 24; Robert is 39
Step-by-step explanation:
If Helen's age is x, Robert's age is x + 15. We can write:
x + x + 15 = 63
2x + 15 = 63
2x = 48
x = 24
This means that Helen's age is 24 and Robert's age is 24 + 15 = 39.
Which rates are equal? Choose 2.
A. $1,200 per 48 hours
B. $500 per 50 hours
c. $750 per 25 hours
D. $1,500 per 150 hours
E. $800 per 40 hours
Answers
Answer:
B, D
Step-by-step explanation:
In dollars per hour, the rates are ...
A. $1200/(48 h) = $25/h
B. $500/(50 h) = $10/h
C. $750/(25 h) = $30/h
D. $1500/(150 h) = $10/h . . . . matches B
E. $800/(40 h) = $20/h
Choices B and D are the same, at $10/hour.
