Find the value of x that would prove this is an isosceles trapezoid. Then find each segment length.
Answers
Answer:
Check pdf
Step-by-step explanation:
Related Questions
35. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). a. How many selections result in all 6 workers coming from the day shift
Answers
Answer:
38760 selections result in all 6 workers coming from the day shift.
Step-by-step explanation:
The order in which the workers are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[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]
a. How many selections result in all 6 workers coming from the day shift:
20 workers are employed on the day shift, so this is a combination of 6 from a set of 20.
[tex]C_{20,6} = \frac{20!}{6!(20-6)!} = 38760[/tex]
38760 selections result in all 6 workers coming from the day shift.
In a sale the price of a bike is reduced by 40% the sale price of the bike is £192 how much did the bike cost before the sale?
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what is X please help 5x - 13.75 = 20
Answers
Answer:
X= 1.25
13.75 + 5= 18.75
20 - 18.75= 1.25 OR 1.25 + 18.75 = 20
Step-by-step explanation:
SOMEONE PLEASE GIVE ME THE CORRECT ANSWER AND ILL MARK BRAINLY
Answers
Answer:
The answer is 60 minutes.
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
10 * 6 = 60
I will give you brainliest whoever answers correct first !!
Answers
Answer:
34.4
Step-by-step explanation:
(54/11) --> ratio of one side of the larger triangle to the smaller one multiplied by 7 = 34.36363636... Rounding it to the nearest tenth is 34.4
1. The sum of two numbers is 64. One of the numbers is 16 more than 3 times the other. Find the
two numbers.
Answers
Answer:
The two numbers are 52 and 12.
Step-by-step explanation:
x+y=64
x=16+3y
Now, substitute the second equation into the first one.
16+3y+y=64
16+4y=64
4y=48
y=12
Substitute 12 into one of the equations in order to find x.
x=16+3(12)
x=16+36
x=52
Suppose 7x-5 M=- 3 x-8 and NE 2 2 x - 5 x - 50 X - 14 x +40 and you want to add the fractions M and N, in other words you want to compute 7x-5 3 x - 8 2 x - 5 x - 50 x - 14 x + 40 and simplify the result. We know that, before you can add the fractions, you must find a common denominator and rewrite each fraction so it has that common denominator. Once the rewritten fractions have the same denominator, you can add them and simplify the result.
There are four text boxes below. In the first text box, enter a common denominator for the two fractions. In the second text box, rewrite M so that it possesses the common denominator you found. Note that your entry in this text box should equal M, however it should have the common denominator you found. In the third text box, rewrite N so that it possesses the common denominator you found. In the last text box, compute your simplified answer for M N . Make sure that your answer is simplified; the numerator and denominator of your answer for M N should not have common factors. Note that your entry for the common denominator should be a polynomial with integer coefficients. Your other three entries should be fractions that contain polynomials. All of your answers should contain no letters other than the variables that appear in M and N. Do not include an equals sign with any of your answers. All of your expressions should be mathematically correct and not contain non-mathematical symbols. After entering your answers, click the Save Answer button. Your computer will display how your answers were interpreted, and you will have the opportunity to accept these answers or modify them.
Enter a common denominator for M and N here:
Enter M rewritten here:
Enter N rewritten here:
Enter your simplified result here:
Answers
Answer:
[tex](a)[/tex] [tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
[tex](b)[/tex] [tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
[tex](c)[/tex] [tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
[tex](d)[/tex] [tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
Step-by-step explanation:
Given
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Solving (a): A common denominator of M and N.
To do this, we simply get the LCM of both denominators
[tex]M = x^2 - 5x - 50[/tex]
[tex]N = x^2 - 14x + 40[/tex]
Factorize both:
[tex]M = (x - 10)(x + 5)[/tex]
[tex]N = (x- 10)(x - 4)[/tex]
The LCM is
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
Hence, the common denominator is:
[tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
Solving (b): Rewrite M
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
Factor the denominator:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of M by (x - 4)
The expression becomes:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)} * \frac{x - 4}{x-4}[/tex]
[tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
Solving (c): Rewrite N
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Factor the denominator:
[tex]N = \frac{3x - 8}{(x-4)(x-10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of N by (x + 5)
The expression becomes:
[tex]N = \frac{3x - 8}{(x-4)(x-10)} * \frac{x + 5}{x + 5}[/tex]
[tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
(d) Solve M + N
[tex]M + N = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)} + \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
Take LCM
[tex]M + N = \frac{(7x - 5)(x-4) + (3x - 8)(x + 5)}{(x+5)(x - 10)(x-4)}[/tex]
Open brackets
[tex]M + N = \frac{7x^2 - 28x - 5x + 20 + 3x^2 + 15x - 8x - 40}{(x+5)(x - 10)(x-4)}[/tex]
Collect Like Terms
[tex]M + N = \frac{7x^2 + 3x^2- 28x - 5x + 15x - 8x + 20 - 40}{(x+5)(x - 10)(x-4)}[/tex]
[tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
Any help anyone? Running out of time
Answers
A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Which of the following statements best summarizes the meaning of this confidence interval?
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
B. 95% of the students in the survey reported sleeping between 6.73 and 7.67 hours per day.
C. 95% of the students in this high school sleep between 6.73 and 7.67 hours per day.
D. A student selected at random from this population sleeps between 6.73 and 7.67 hours per day for 95% of the time.
Answers
Answer:
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI from a sample of 50 students is (6.73, 7.67).
This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
What is confidence interval ?confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.
Here given that 95% confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
To learn more about confidence interval visit :
https://brainly.com/question/15712887
Re-order the premises in each of the arguments to show that the conclusion follows as a valid consequence from the premises. It may be helpful to rewrite the statements in if-then form and replace some statements by their contrapositives. Exercises are adapted from Symbolic Logic by Lewis Carroll.
1. When I work a logic example without grumbling, you may be sure it is one I understand.
2. The arguments in these examples are not arranged in regular order like the ones I am used to.
3. No easy examples make my head ache.
4. I cant understand examples if the arguments are not arranged in regular order like the ones I am used to.
5. I never grumble at an example unless it gives me a headache. These examples are not easy.
Answers
Answer:
Step-by-step explanation:
1. If I do not grumble while doing the logic exam, then it is because I understand the questions.
2. If the arguments are not arranged in regular order, then I will not be used to these examples.
3. If my headaches, then it is probably because it is not an easy example.
4. If the arguments are not arranged in regular order like I am used to, then I will not be able to understand them.
5. If the example is not easy and I am grumbling, then it is because it is giving me a headache.
- Calculate the median and range
of the data in the dot plot. Then
compare the results to the dot
plot for Exercise in Example 2.
Answers
I don't understand this math problem, please help
Answers
Answer/Step-by-step explanation:
1. <A = <B (alternate angles theorem)
90° = 2x (substitution)
Divide both sides by 2
90/2 = 2x/2
45 = x
x = 45
2. <3 = <5 (corresponding angles theorem)
½x = 60 (substitution)
Multiply both sides by 2
x = 60*2
x = 120
3. Based on supplementary bangle theorem, sum of supplementary angles = 180°. Therefore:
m<LFG + m<ABC = 180°
2.5x + x + 33 = 180 (substitution)
Add like terms
3.5x + 33 = 180
3.5x = 180 - 33
3.5x = 147
x = 147/3.5
x = 42
3a. m<LFG = 2.5x
Plug in the value of x
m<LFG = 2.5(42)
m<LFG = 105°
3b. m<ABC = x + 33
Plug in the value of x
m<ABC = 42 + 33
m<ABC = 75°
Let's say we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking a yellow marble, keep it, and then
picking a blue marble?
A 1/12
B 1/30
C 1/36
D 1/11
Answers
Explanation: First you find the probability of picking a yellow marble, 1/6. Then you multiply the probability of picking a blue marble, 1/5 since there are now only five marbles total. Then multiply those to see what the final probability is, 1/6*1/5=1/30.
HELP PLEASE IT'S DUE
Answers
Answer:
1) no solution
2) no solution
Step-by-step explanation:
7(2 + 5v) = 3v +14
14 + 35v = 3v + 14
The 14s cancel each other out.
35v ≠ 3v
no solution
36 - 7p = -7(p - 5)
36 - 7p = -7p + 35
The -7s cancel each other out.
36 ≠ 35
no solution
I NEED HELP WORTH THIS there is one more option of 6,6 also
Answers
Answer:
C. (2,4)
Step-by-step explanation:
-17-x=8 pls answer bc I'm deparet
Answers
Answer:
x= -25
Step-by-step explanation:
Do 8 plus 17=25
x must be positive so -25
find the perimeter of the shape below
Answers
Answer:
It doesn't show the whole picture
Step-by-step explanation:
Which expression is equivalent to x + 0.2x
1.2x
0.2x squared
0.2x
1.02x
Answers
geometry proofs help please
Answers
Answer:
trust your instincts
Step-by-step explanation:
I can not interfere with your destiny you will need to decide your destiny
A person places $13900 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answers
Answer
hmm
Step-by-step explanation:
Answer:Can u explain more i odnt understand it pelase
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST "Find the value of f, correct to two decimal places."
Answers
Answer:
5.93 is the answer....
Hope it helps!!!
Is tu parallel to vw? Explain.
O no, because both lines have a slope of
no, because the slopes of the lines are not equal
O yes, because both lines have a slope of 2
O yes, because the slopes of the lines are not equal
Answers
Answer: C
Step-by-step explanation:
Answer:
C. yes, because both lines have a slope of 2/3
Step-by-step explanation:
Find the measure of the angle indicated in bold
Answers
i came to this conclusion when using this equation: 15x+5=2+16x
for x, i got 3.
using my x-value, i replace “x” with “3” when solving angle measure, “15(3)+5”
15(3)+5= 50
there is your answer!
Explain how to solve 5x^2-3x=25 by completing the square. What are the solutions?
Answers
Answer:
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
Step-by-step explanation:
We do completing the square as follows:
1. Put all terms with variable on one side and the constants on the other side.
5x^2 - 3x = 25
2. Factor out the coefficient of the x^2 term.
5(x^2 - 3x/5) = 25
3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other side we add 9/20.
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
4. We simplify as follows:
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
5(x - 3/10)^2 = 509/20
(x - 3/10)^2 = 509/100
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
PLEASE HELP CHECK MY ANSWER ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY! PLEASE EXPLAIN HOW I AM CORRECT!
Answers
Answer:
√13
Yes you are right
Step-by-step explanation:
The law of cos again
BC^2 = 18 + 25 - 2 * 3√2 * 5 cos(45 degrees)
= 13
==>
BC = √13
Answer:
yes the answer is correct
WILL GIVE BRAINLIEST
find the missing length
Answers
Answer:
Correct Answer is A. 3 times root 5.
Step-by-step explanation:
We all know that in a right angled triangle, the square of both sides is equal to the square of hypotension.
hence,
a^2 + b^2 = c^2
a^2 + (2)^2 = (7)^2
a^2 + 4 = 49
a^2 = 49-4
a^2 = 45
a = root of 45 which is 6.7082
which can be written as 3 times root 5
Sue has four DVDs and Terry has six DVDs. They
put all their DVDs together and sold them for $10
for two DVDs. How much money will they earn if
they sell all of their DVDs?
Answers
Answer:
$50
Step-by-step explanation:
4+6=10/2=5*10=50
Given:
Sue (4) + Terry (6) = 10 DVDs to sell
$10 for 2 DVDs ($10/2 = $5 per DVD)
Answer:
10 (total DVDs) * $5 (price per DVD) = $50
find the value of u in paralellogram
Answers
Answer:
34
Step-by-step explanation:
2u=u+34
2u-u=34
u=34
Answer:
Step-by-step explanation:
2u = u + 34
u = 34
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
Create a system of equations or inequalities that models the situation.
Define the variables you use.
Answers
Answer:
10/20
Step-by-step explanation:
$15 for 10 hours and $20 for 10 hours
Find the mean: 17.4 mm, 20.3 mm, 84.1 mm, 31.2 mm, 53.7 mm, 11.7 mm