If AB and CD intersect at point E, m measure of all four angles.
Answers
The all four angles are ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40o.
What are vertically angles?
Vertical angles are formed when two lines cross at a point. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.
Given that
∠BOC+∠AOC=280o (AB and CD intersect at point E)
we know that, ∠AED and ∠BEC are vertically opposite angles ∠AED=∠BEC
we know that, ∠AED=∠BEC
so it can be written as
∠AED+∠AED=180o,
2∠AED=280o,
∠AED= 140o,
∠AED=∠BEC=140o
we know that ∠AEC and ∠AEC form a linear pair
So it can be written as
∠AEC+∠AED=180
substituting the values
∠AEC+140o=180o
∠AEC=40o
we know that ∠AEC and ∠BED are vertically opposite angles
∠AEC=∠BED=40o
Therefore, ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40
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Related Questions
The generic metal A forms an insoluble salt AB(s) and a complex AC5(aq). The equilibrium concentrations in a solution of AC5 were found to be [A] = 0. 100 M, [C] = 0. 0360 M, and [AC5] = 0. 100 M. Determine the formation constant, Kf, of AC5. The solubility of AB(s) in a 1. 000-M solution of C(aq) is found to be 0. 131 M. What is the Ksp of AB?
Answers
solve this equation -1/4x = 12
Answers
multiply both sides by -4 (the reciprocal of -1/4)
x = -48
Answer:
x=-48
Step-by-step explanation:
-1/4x=12
-1/4x(-4)=12(-4)
x=-48
Hence, x=-48.
If h(x)=x-7and g(x)=x^2, which expression is equivalent to(g*h)(5)?
Answers
Answer:
(g*h)(5) is g(h)=x
Step-by-step explanation:
because if h(x)=x-7 and g(x)=x^2.
Given that events A and B are independent with P(A)=0.31P(A)=0.31 and P(B)=0.7P(B)=0.7, determine the value of P(B|A)P(B∣A), rounding to the nearest thousandth, if necessary.
I need help please.
Answers
Answer:
.7
Step-by-step explanation:
I'm going to assume you meant to write all that stuff once
The conditional probability formula is as follows : (B|A)=(A∩B)/A
We're told that the two probabliites are independent of each other which means that A∩B= A*B
Which means we have
(.31*.7)/(.31)
This should simplify to .7
*note* a shortcut you can use when finding the conditional probability of two independent probabilities you can just take the first probability (or in this case B) and that'll be your final answer
What is the value of the expression above when x = 3 and y = 4? You must show all work and calculations to receive full credit. (4 points)
Answers
let's implement these numbers into the problem first.
3•3 + 1/4 4^2
let's solve what we can
9 + 1/4 • 16
9 + 4 = 13
a graph from a rational function cannot cross a horizontal asymptote true or false
Answers
Answer:
False
Step-by-step explanation:
You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.
AsymptoteOnce a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.
The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.
An example with the asymptote y = 0 is attached.
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At the local burger palace, you can order a hamburger with the following “extras’: tomato, lettuce, bacon, onion, or cheese. How many different ways can you order a burger if you always order one with three different “extras” on it?
Answers
Answer:
10 ways
Explanation:
The number of ways to select x elements from a group of n elements is calculated as
\(\text{nCx}=\frac{n!}{x!(n-x)!}\)These ways are called combinations. In this case, we need to select 3 different extras from a group of 5 extras ( tomato, lettuce, bacon, onion, or cheese). So, the number of ways to make an order is
\(5C3=\frac{5!}{3!(5-3)!}=\frac{5!}{3!\cdot2!}=10\)Therefore, the are 10 different ways to order a burger with three different extras.
x^3x^5=x^p, where p=
Answers
Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.
Therefore,
\(x^(3+5) = x^8\)
Now,
\(x^(3+5) = x^8\)
is of the form:
\(x^b = x^p\)
When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,
p = 8
There we have it. The value of p is 8. The full solution is shown below:
\(x^3 × x^5 \\= x^px^8\\ = x^p\)
We can see that the base of the exponential expression on either side is equal.
Therefore, the power of the base must be equal as well. In other words
,p = 8.
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What is the slope of the line that contains the points (-4, 2) and (6, -3)?
Answers
Answer:
-1/2 or \(-\frac{1}{2}\)
Step-by-step explanation:
to find the slope, use the formula
(y₁ - y₂)/(x₁ - x₂)
(2 - -3)/(-4 - 6)
(2 + 3)/(- 4 - 6)
5/-10
1/-2
-1/2
a uniform continuous distribution has a maximum of 14 and a minimum of 2. samples of size 36 are drawn from the distribution. what is the variance of the sample means?
Answers
The variance of the sample means that is found in the sample distribution that we have here is 0.3333
What is variance?This is the measure of dispersion that is used to show the spread of the data that is contained in a data set
The formula that we are to use here is given as
b² - a² / b - a
we have to put the values in this question
(14 - 2)² / 14 - 2
= 144 / 12
= 12
From here we would have to solve for the variance.
The variance = 12 / 35
= 0.3333
Hence the variance that we have in the question is equal to 0.3333
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Tickets to an event cost $25 each how many tickets can you buy with a $100
Answers
Answer:
You can buy 4 $25 tickets with $100
Step-by-step explanation:
25 X 4 = 100
Explanation: you have to do 100 divided by 25 which equals four
you have 3 math books, 5 history books, and 2 science books. how many ways are there to arrange the books on a book shelf?
Answers
Answer:
the answer is 10
Step-by-step explanation:
because 3+5+2=10
Answer: Total possible combinations are 30
Step-by-step explanation:
We multiply the amount of books to get our ways to arrange.
3 * 5 * 2
10 * 3
Total possible combinations are 30
How many time have i put a question mark? Count carefully. ??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
722
Shift /(x+5)-3 y=2r+4+5 Old vertex: V New vertex Radicals The vertex of the parabola represented by f(x)=x²-4x+3 has coordinates (2-1). Find the coordinates of the vertex of the parabola defined by g(x)=f(x-2). Explain how you arrived at your answer. [The use of the set of axes below is optional.]
Answers
The vertex of the parabola defined by g(x)=f(x-2) has coordinates (4,-1)
To determine the coordinates of the vertex of the parabola defined by g(x)=f(x-2), we will use the concept of transformation of functions.A parabola f(x) is shifted right or left by c units by the function f(x ± c).The vertex of the parabola represented by f(x) = x² - 4x + 3 has coordinates of (2,-1).
To find the vertex of the transformed parabola g(x) = f(x - 2), we will perform a horizontal shift of two units to the right on the original parabola f(x).Here are the steps that are involved in finding the coordinates of the vertex of the transformed parabola:
Step 1: Rewrite the transformed function g(x) in the standard form by expanding it.g(x) = f(x - 2) = (x - 2)² - 4(x - 2) + 3= x² - 4x + 4 - 4x + 8 + 3= x² - 8x + 15
Step 2: Determine the coordinates of the vertex of the transformed parabola.The coordinates of the vertex of the transformed parabola can be obtained by using the formula x = - b / 2a and substituting the value of x in the equation of the parabola to find the corresponding y-value.In this case, the coefficients of x² and x in the standard form of g(x) = x² - 8x + 15 are a = 1 and b = - 8 respectively.x = - b / 2a = - (-8) / 2(1) = 4
Therefore, the x-coordinate of the vertex of the transformed parabola is 4.
Substituting x = 4 into the equation g(x) = x² - 8x + 15, we obtain
y = g(4) = 4² - 8(4) + 15 = - 1
Therefore, the coordinates of the vertex of the transformed parabola are (4,-1).
Hence, the vertex of the parabola defined by g(x) = f(x - 2) is (4,-1).
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Describe the translation of the point to its image. (-2,-3) to (-2,4)
Answers
Up 8 Units, Hope this helps :)
DRIVERS ED(TRUE OR FALSE) When passing another vehicle you must be able to complete the pass by returning to the right side before coming within a distance of at least 100 feet of any oncoming vehicles.
True
False
Answers
Answer:
It
Step-by-step explanation:
Is true because if you didn’t, who know what would happen
A 17.0-m-high and 11.0-m-long wall and its bracing under construction are shown in the figure. 17.0m 8.5 m 10 braces Calculate the force, in newtons, exerted by each of the 10 braces if a strong wind exerts a horizontal force of 645 N on each square meter of the wall. Assume that the net force from the wind acts at a height halfway up the wall and that all braces exert equal forces parallel to their lengths. Neglect the thickness of the wall. Grade Summary sin o cos tan o a tan a cotan sin h cos h tan h cotan h Degrees O Radians V
Answers
Therefore, each of the 10 braces exerts a force of approximately 6035.25 N.
To calculate the force exerted by each of the 10 braces, we need to consider the horizontal force exerted by the wind and the geometry of the wall and bracing.
Given:
Height of the wall (h) = 17.0 m
Length of the wall (l) = 11.0 m
Number of braces (n) = 10
Horizontal force exerted by the wind (F_w) = 645 N/m^2
First, let's calculate the total area of the wall:
Wall area (A) = h * l = 17.0 m * 11.0 m = 187.0 m^2
Since the net force from the wind acts at a height halfway up the wall, we can consider the force acting on the top half of the wall:
Force on the top half of the wall (F_t) = F_w * (A/2) = 645 N/m^2 * (187.0 m^2 / 2) = 60352.5 N
Next, let's calculate the force exerted by each brace:
Force exerted by each brace (F_brace) = F_t / n = 60352.5 N / 10 = 6035.25 N
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Which of the following is a measure of the reliability of a statistical inference? Answer A descriptive statistic. A significance level. A sample statistic. A population parameter.
Answers
The measure of reliability of a statistical inference is the significance level. The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. It determines the threshold for accepting or rejecting a hypothesis.
A lower significance level indicates a higher level of confidence in the results. A descriptive statistic provides information about the data, but it does not directly measure the reliability of a statistical inference. It simply summarizes and describes the characteristics of the data.
A sample statistic is a numerical value calculated from a sample, such as the mean or standard deviation. While it can be used to make inferences about the population, it does not measure the reliability of those inferences.
A population parameter is a numerical value that describes a population, such as the population mean or proportion.
While it provides information about the population, it does not measure the reliability of inferences made from a sample. In conclusion, the significance level is the measure of reliability in a statistical inference as it determines the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.
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every matchbox manufactured by a certain factory contains no more than 20% defective matches. what is the minimum number of intact matches in a 43-match box manufactured by that factory?
Answers
If every matchbox contains no more than 20% defective matches, then at least 80% of the matches in a box must be intact. The minimum number of intact matches in a 43-match box manufactured by that factory is 34.
To find the minimum number of intact matches in a 43-match box, we need to multiply 43 by 80% (or 0.8):
43 x 0.8 = 34.4
Since we can't have a fraction of a match, we round down to the nearest whole number. Therefore, the minimum number of intact matches in a 43-match box manufactured by that factory is 34.
In a 43-match box manufactured by that factory, no more than 20% of the matches can be defective. To find the minimum number of intact matches, we can calculate the number of defective matches and subtract it from the total.
20% of 43 matches = (20/100) * 43 = 8.6
Since there can't be a fraction of a match, we round up to the nearest whole number, which is 9 defective matches. Now, subtract the number of defective matches from the total:
43 matches - 9 defective matches = 34 intact matches
The minimum number of intact matches in a 43-match box manufactured by that factory is 34.
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Find The total number of unit cubes that fill the entire prism.
Answers
Answer:
64
Step-by-step explanation:
put branileist
Answer:
Step-by-step explanation:
72 cuz u multiply 6x3x4=72
5. Sally took money from her bank account to go
out of town for an audition. She spent $54.00
for a round-trip ticket and 1/2 of the remaining
money for her hotel bill. She spent $7.90 for
food and arrived home with $15.10. How much
money did Sally take from her bank account?
Answers
Answer:
110
Step-by-step explanation:
Sally takes $110 from her bank account if she spent $54.00 for a round-trip ticket.
What are expenses?It is defined as the money spends on the utility, the amount of money is required to buy something, in other words, it is the outflow of money from the sole earner's income or the money incurred by any organization.
We have:
Sally took money from her bank account to go out of town for an audition.
The expeses = (7.90 + 15.10) ÷ (1 - 1/2) = $46
Total money = 54 + 46
Total money = $110
Thus, Sally takes $110 from her bank account if she spent $54.00 on a round-trip ticket.
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based on the scatterplots, which type of model is most suitable for estimating the stock price? a power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship. a linear model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship. an exponential model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship. an exponential model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.
Answers
Based on the scatterplots provided, the answer would be A. A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.
In the scatterplots of log(weeks) against log(stock price), we can see that the relationship between the two variables is not linear, but rather appears to be curved. This suggests that a power model may be more appropriate, since this type of model can capture non-linear relationships.
A linear model is not suitable in this case, as the relationship between weeks and stock price does not appear to be linear. While the scatterplot of weeks against log(stock price) shows a strong linear relationship, this plot is not as appropriate for estimating the stock price as the plot of log(weeks) against log(stock price).
An exponential model may also be appropriate for capturing non-linear relationships, but the plot of weeks against log(stock price) does not show a strong linear relationship, so it is less appropriate than the plot of log(weeks) against log(stock price).
Overall, based on the provided scatterplots, a power model is the most suitable for estimating the stock price.
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Based on the scatterplots, which type of model is most suitable for estimating the stock price?
A. A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.
B. A linear model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.
C. An exponential model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.
D. An exponential model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.
1. Write the word sentence as an equation. 2. Then solve the equation. 5/7a=25
Answers
Answer:
a = 35
Step-by-step explanation:
5/7a = 25
multiply both sides by 7:
5a = 175
divide by 5:
a = 35
Hope this helps !!!
When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
How many inches would a 3.5-foot object measure?
inches
How many feet would a 27-inch object measure?
Answers
Step-by-step explanation:
wow, how complicated can one phrase this ...
the point being :
1 ft = 12 in and vice versa (1 in = 1/12 ft)
so, any measurements given in feet but needed in inches need to be multiplied by 12.
and any measurements given in inches but needed in feet need to be divided by 12.
so,
3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in
27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft
Answer:When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?
✔ m = 12f
How many inches would a 3.5-foot object measure?
✔ 42
inches
How many feet would a 27-inch object measure?
✔ 2.25
feet
Step-by-step explanation:
coin $a$ is flipped three times and coin $b$ is flipped four times. what is the probability that the number of heads obtained from flipping the two fair coins is the same?
Answers
The probability that the number of heads obtained from flipping the two fair coins is the same is 35/128.
Probability:
Probability means the fraction of favorable outcome and the total number of outcomes.
So it can be written as,
Probability = Favorable outcomes / Total outcomes
Given,
The coin a is flipped three times and coin b is flipped four times.
Here we need to find the probability that the number of heads obtained from flipping the two fair coins is the same.
We know that,
There are 4 ways that the same number of heads will be obtained;
0, 1, 2, or 3 heads.
The probability of both getting 0 heads is
\($\left(\frac12\right)^3{3\choose0}\left(\frac12\right)^4{4\choose0}=\frac1{128}$\)
Probability of getting 1 head,
\($\left(\frac12\right)^3{3\choose1}\left(\frac12\right)^4{4\choose1}=\frac{12}{128}$\)
Probability of getting 2 heads is,
\($\left(\frac12\right)^3{3\choose2}\left(\frac12\right)^4{4\choose2}=\frac{18}{128}$\)
And the probability of getting 3 heads is,
\($\left(\frac12\right)^3{3\choose3}\left(\frac12\right)^4{4\choose3}=\frac{4}{128}$\)
Therefore, the probability that the number of heads obtained from flipping the two fair coins is the same is,
=> (1/128) + (12/128) + (18/128) + (4/128)
=> 35/128.
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What is the measurement shown ?
Answers
answers:
3.5
2.875
about 3.0625
Use thing below for answers
please help this is my question
find the value of x in each of the following here are the questions
2x=10
3x=27
Answers
Step-by-step explanation:
1)x=10/2=5
x=5
2)x=27/3=9
x=9
Find the range of the data set represented by this box plot.
60
65
70
25
80
00
95
100
10s 110 is 120
125
730
2015
25
70
20
60
NEXT QUESTION
ASK FOR HELP
TURN ITIN
Answers
HELP ME PLEASEEEE, I need help check the picture and if its right i will mark brainliest
Answers
Answer:
x=2
Step-by-step explanation:
Answer:
the value for X is 2
Step-by-step explanation:
What is the slope of the equation: y = - 5x -6
Answers
Answer:
-5
Step-by-step explanation:
The slope is always the coefficient of x, and the coefficient of x here is negative 5.