Answers
Answer:
EF = 36
Step-by-step explanation:
FE and GD are congruent
2u - 36 = u
subtract 2u from both sides (-36 = -u)
divide each side by -1 ( u = 36)
now that you know the value of u plug it into the equation 2u -36
the equation is now 2(36)-36
2 times 36 equals 72
now do 72 - 36 and you get 36
that is the value of line segment EF
Answer:
36
Step-by-step explanation:
Ef is equal to gd
so 2u－36＝u
＋36 ＋36
so 2u＝u＋36
－u －u
so u＝36
hope this helps
Related Questions
There is a lighthouse on top of a cliff. The light of the lighthouse is 200 feet above sea level. It can be seen on the deck of a ship that is 25 feet above sea level. If the angle of depression from the light of the lighthouse to the deck of the ship is 30 degrees, then how far from the cliff is the ship, to the nearest foot?
Answers
Answer:
Step-by-step explanation:
It is C
Answer: C- 303
Step-by-step explanation:
What is the quotient of 10 divided by 3/5?
Answers
Solve for x. 1.4x − 4.67= −2.248
Answers
Answer:
X = 1.73
Step-by-step explanation:
Combine multiple terms into a single fraction and then find the denominator that is common then combine again
Travel Expenses, Meals And Entertainment, Educational Expenses (LO 3.4, 3.5, 3.6) Bob is a self-employed lawyer and is required to take a week of continuing legal education every year to maintain his license. This year he paid $1,400 in course fees for his continuing legal education in a different city. He also paid $500 for airfare and a hotel room and paid $300 for meals, all of which were provided by the hotel’s restaurant. Bob also purchased a $10 bag of snacks from a newsstand while waiting for his plane in the airport because he missed lunch. What is the total amount he can deduct on his Schedule C related to these expenses? fill in the blank 1 of 1$
Answers
Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
How to calculate deductible amount?To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:
Course fees for continuing legal education: $1,400
Airfare and hotel room: $500
Meals provided by the hotel's restaurant: $300
Snacks from the newsstand: $10
To calculate the total amount that Bob can deduct, add up these expenses:
$1,400 + $500 + $300 + $10 = $2,210
Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
Find out more on deductible here: https://brainly.com/question/30349828
#SPJ1
please help me answer this question thank you
Answers
Answer:
A
Step-by-step explanation:
Select the correct answer. Consider these functions: f(x)=x+1 g(x)=2/x.Which polynomial is equivalent to (f ◦ g)(x)?
Answers
The polynomial which is equivalent to fog(x) is 2/x + 1.
What is Polynomial?A polynomial is a type of expression. An expression is a mathematical statement without an equal-to sign (=).
Here,
given functions are;
f(x) = x + 1 ; g(x) = 2/x
Now, we need to compose fog(x) from the given function;
fog(x) = f ( g(x) )
= f( 2/x)
= 2/x + 1
Thus, the polynomial which is equivalent to fog(x) is 2/x + 1.
Learn more about Polynomial from:
https://brainly.com/question/11536910
#SPJ1
A geometry class is asked to find the equation of a line that is parallel to y – 3 = −(x + 1) and passes through (4, 2). Trish states that the parallel line is y – 2 = –1(x – 4). Demetri states that the parallel line is y = –x + 6.
Answers
Answer:
Demetri is correct, y = -x + 6
Step-by-step explanation:
y - 3 = -(x + 1)
y = -x + 2, the slope is -1
y = mx + b
2 = -1(4) + b
b = 6
y = -x + 6
Y=-x+6
Explanation
6000 dollars is invested in a bank account at an interest rate of 6 per cent per year, compounded continuously. Meanwhile, 16000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually. To the nearest year, when will the two accounts have the same balance?
Answers
9514 1404 393
Answer:
87 years
Step-by-step explanation:
The balance (A) in the continuously compounded account will be ...
A = P·e^(rt)
A = 6000·e^(0.06t)
__
The balance (A) in the annually compounded account will be ...
A = P(1 +r)^t
A = 16000(1 +0.05)^t
These balances are equal when ...
6000·e^(0.06t) = 16000(1.05^t)
We can divide by 6000 to simplify this a little bit.
e^(0.06t) = 8/3(1.05^t)
Taking the natural logarithm gives ...
0.06t = ln(8/3) +t·ln(1.05)
t(0.06 -ln(1.05)) = ln(8/3) . . . . subtract t·ln(1.05) and factor)
t = ln(8/3)/(0.06 -ln(1.05)) ≈ 0.980829/0.0112098 ≈ 87.497
Rounded to the nearest year, the balances will be the same after 87 years.
_____
The balances will be about 1.14 million dollars.
Use the distributive property to remove parentheses
2/5(4+10y)
Answers
2/5(4) + 2/5(10y)
8/5 +20y/5
8/5 + 4y
Answer:
8/5 + 4y
Step-by-step explanation:
\(\frac{2}{5}(4)=\frac{8}{5}\\\\\frac{2}{5}(10y)=4y\\\\\frac{8}{5}+4y\)
A small country had a population of 7.1 x 10° in 1990. Since then, the original population has doubled, and an additional 7.7 x 1010 people have immigrated into the country. What is the population of the country now? The population is A x 10 where
Answers
Answer:
\(21.9 * 10^{10}\) Population of the Country Now .
Step-by-step explanation:
According to the Question,
Given, A small country had a population of \(7.1 * 10^{10}\) in 1990. Since then, the original population has doubled Thus The Population as of Now is \(2*7.1 * 10^{10} =\) \(14.2 * 10^{10}\) And \(7.7 * 10^{10}\) people have immigrated into the country Thus, The New Population of the Country is \(14.2 * 10^{10} + 7.7 * 10^{10} =\) \(21.9 * 10^{10}\) .The frequency distribution shown is constructed incorrectly.
Class
27-30
31-34
35-38
39-42
43-45
Frequency
5
3
4
8
6
Select all applicable mistakes in the frequency distribution.
Answers
The required mistake in the frequency distribution is the class interval 43 - 45 is of 2 it should be of 43 - 48.
Given that,
To determine the mistakes in the frequency distribution.
Statistic is the study of mathematics that deals with relations between comprehensive data.
Table =>
Class Frequency
27-30 5
31-34 3
35-38 4
39-42 8
43-45 6
Here,
Since the class interval is of 3
But in the last class, the interval is of 2
Thus, the required mistake in the frequency distribution is the class interval 43 - 45 is of 2 it should be of 43 - 48.
Learn more about Statistics here: https://brainly.com/question/23091366
#SPJ1
If 3 3/4m of cloth was used for one suit, how many suits can be made with 30m cloth
Answers
Answer:
8 suits
Step-by-step explanation:
Divide 30 m by 3 \(\frac{3}{4}\) m , or 30 ÷ 3.75 , then
30 ÷ 3.75 = 8
Then 8 suits can be made from 30 m of cloth
RACE A city hosts a race annually. They decide to place a
camera halfway between the start and finish lines. If A
represents the starting line and Z represents the finish line,
find the coordinate of the midpoint.
Answers
Answer:
M
Step-by-step explanation:
M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.
Anthony and his family went out to dinner last night. When the bill came, Anthony's mom figured out how much to tip their waiter. For a dinner bill of d dollars, she tips 0.20d dollars. The bill for the family's dinner was $56. How much did Anthony's family tip the waiter?
Answers
If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:
0.2 × 56
= $11.6
Therefore the waiter was tipped $11.6
learn more about rate from
https://brainly.com/question/25793394
#SPJ1
Answer:
A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.
Evaluate the expression 0.20d for d=56.
0.20d
=
0.20(56)
=
11.2
The family tipped the waiter $11.20.
a pizza parlor offers 16 different toppings. how many 5 topping pizzas are possible
Answers
Sorry if I’m wrong and I hope this helps <3
the axis of symmetry for the graph of the function f(x)=1/4x2+bx+10 is x=6 what is the vale of 6?
Answers
Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
y = ax^2 + bx + c
The vertex is given by:
\((x_v, y_v)\)
In which:
\(x_v = -\frac{b}{2a}\)\(y_v = -\frac{b^2 - 4ac}{4a}\)The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:
b/2a = 6.
b/0.5 = 6
b = 6 x 0.5
b = 3.
The value of b is of b = 3.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
#SPJ1
What is the coefficient in the expression -9y - 10 ?
Answers
san
3
Mia is the new CEO of a sales company. In her first year, the company made $475,000 in sales. In each of
the following years, her sales are expected to increase at a rate of 1796. If this trend continues, what will be
her company's sales in year 14?
A $6,201,709
B $5,129,458
C $3,656,872
D
$2,935,294
Answers
The company sales in year 14, given the rate of increase and the amount made in sales would be C $3,656,872.
How to find the sales ?In the first year, the sales of the company were $ 475, 000 and this sales is scheduled or predicted to grow at 17 %.
This means that the company sales in year 14 would be :
= Initial sales x ( 1 + rate ) ^ number of years
Initial sales = $ 475, 000
Rate = 17 %
Number of years = 14 years
The company sales in year 14 is:
= 475, 000 x ( 1 + 17 %) ¹⁴
= $3, 656, 872
Find out more on company sales at https://brainly.com/question/29342346
#SPJ1
The distance between Reeta's house and her office is 14 km. She covers 10 km 65 m by scooter, 3 km 75 m by bus and the rest on foot. How much distance does she cover by walking?
Answers
Answer:
She covered 0.86 km or 860m by walking.
Step-by-step explanation:
Given:
➮ Distance between Reeta's house and her office is 14km.
She covers 10km 65m by Scooter. Then, 3km 75m by Bus. And rest of distance covered by foot.To Find:
➮ How much distance covered by foot/walking ?
Solution:
To find the distance covered by foot = Total distance - Sum of distance covered through scooter and bus.
Sum of distance covered through scooter and bus:-
As, we know:
• 1km = 1000m
⇒ 10km = 10×1000
= 10000m
⇒ 3km = 3×1000
= 3000m
So, 10000m + 65m ➝ 10065m
3000 + 75m ➝ 3075m
➝ 10065m + 3075m
➝ 13140m
• 13140m into km:-
⇒ 13.14km
Now, Finding the distance covered by walking:
➝ 14km - 13.14km
➝ 0.86km
Hence, She covered 0.86km or 860m by walking.
The following statement is from the contract Peter signed with his Homeowner's Association (HOA).
"Overnight parking on community streets is prohibited. For the purpose of this contract, 'overnight' will be defined as the hours between 11:00 p.m. and 4:00 a.m. The HOA will monitor overnight parking not less than once every calendar week with nightly patrols by community security.
"In the event a car is found parked on community streets overnight and that ownership of the offending car can accurately be verified as a community homeowner, the homeowner will receive one (1) written warning asking him or her to correct the situation. A second and third infraction by the same homeowner, whether or not it is with the same car, will result in a monetary fine as permitted by CC&R guidelines and HOA bylaws. Further infractions (past 3) will result in monetary fines in addition to the towing of the car at the homeowner's expense."
Because of the extremely low ground effects and body profile on his racing car, Peter is unable to drive his car off of the street and onto the driveway. He has parked on the street overnight for the past five weeks. He has received one written warning and one monetary fine from the HOA. What consequences should Peter expect after this week's security check?
a.
His car will be towed.
b.
He will receive another monetary fine.
c.
He will receive a monetary fine and his car will be towed.
d.
A "boot" will be place on his car to prevent him from driving it.
Answers
Braden had 216 quarters. If it costs 8
quarters to buy a soda from the vending
machine, how many sodas can he buy?
Answers
A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary. The sample information is submitted to Minitab with the following results: Analysis of Variance Source Factor df Ss MS F 3 28.17 9.39 5.37 0.133 15 26.26 1.75 18 54.43 Total What is the decision rule? (Round your answer to 2 decimal places.) eject H0 if F> At the 0.01 level of significance, is there a difference in the mean number of months before a raise was granted among the four CPA firms? Do not reject O Reject
Answers
In this one, We reject the null hypothesis and accept the alternative hypothesis. The z score of -0.07 is in the rejection area
What is the process of doing the hypothesis test?
In math, the ANOVA output is given in tabular format with headers like source, that consists of error sources and these error sources can be unexplained or explained ones. Then the evaluation of these helps to account for the F-statistic is accounted for two terms, known as degrees of freedom which can found against the factor and the error value.
Here we have given that senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary.
And we need to find the difference in the mean number of months before a raise was granted among the four CPA firms
While we looking into given question, we have the sample data as,
=> 3, 28.17, 9.39, 5.37, 0.133, 15, 26.26, 1.75, 18, 54.43
By using the sample data, we have identified the value of the following
Standard Deviation, σ: 15.860418305013
Count, N: 10
Sum, Σx: 161.503
Mean, μ: 16.1503
Variance, σ2: 251.55286881
Now, the hypothesis testing result is written as,
The critical value (cutoff point) is 1.833. In left-tail hypothesis testing, any z score less than the critical value will be rejected. Since -0.07 is less than 1.833, we reject the null hypothesis. We accept the alternative hypothesis.
To know more about Hypothesis here.
https://brainly.com/question/29576929
#SPJ4
Transform the given function f(x) as described and write the resulting function as an equation
Answers
The given equation,
\(f(x)=\sqrt[]{x}\)First it is horizontally stretched by a factor of 2.
\(f(x)=\sqrt[]{2x}\)Then it is refected along y-axis,
\(f(x)=\sqrt[]{-2x}\)It is then translated up by 2 unit.
\(f(x)=\sqrt[]{-2x}+2\)Thus the resulting function becomes as:
\(y=\sqrt[]{-2x}+2\Rightarrow y-2=\sqrt[]{-2x}\)Squaring both side,
\(y^2-4y+4=-2x\Rightarrow y^2+2x-4y+4=0\)Thus the required equation is:
\(y^2+2x-4y+4=0\)Find the area of the figure. 5in 2in 4in 5in
Answers
Answer: Your answer is 23.5in²
Hope it helped :D
Good Luck!
Suppose that the function f(x)=2x + 6 Represents the number of cars to drive by an ex minutes how many cars will drive by in 4 minutes
Answers
Answer:
14
Step-by-step explanation:
Put 4 where x is in the function and do the arithmetic.
f(4) = 2(4) +6 = 8+6 = 14
14 cars will drive by in 4 minutes.
Melody picks a number. She triples the number, squares the result, divides the square by 2, subtracts 30 from the quotient, and gets 42. What are the possible numbers that Melody could have picked?
Answers
The possible numbers that Melody could have picked are -4 and 4.
The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".
Given, Let x be the number Melody had chosen.
Thus, tripling the number will give 3x, and
squaring this will result to (3x)² which is equals to 9x².
Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:
9x²/2 ₋ 30 = 42
9x²/2 = 42 ₊ 30
9x²/2 = 72
9x² = 72 × 2
9x² = 144
x² = 144/9
x² = 16
x = ±√16
x = ±4
x = ₊4 or x = 4
hence melody could have picked ₊4 or ₋4 numbers.
Learn more about Equations here:
https://brainly.com/question/22688504
#SPJ9
Select the correct answer. Which of the following is equal to the expression below? A. B. C. D.
Answers
Answer:
b
Step-by-step explanation:
Find the slope of the line that passes through (4, 9) and (6, 10).
Answers
Answer:
y = 4/5x + 14/5
Step-by-step explanation:
yee
An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point
Answers
Answer:
To find the z-score, we use the formula:
z = (x - mu) / (sigma / sqrt(n))
where:
x = sample mean = $5100
mu = population mean = $5000
sigma = population standard deviation = $250
n = sample size = 64
Substituting the values, we get:
z = (5100 - 5000) / (250 / sqrt(64))
z = 2.56
Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).
Step-by-step explanation:
I clicked on the black picture. thought is was the box to enter the answer.
what is the equation for the line passing through the points: (3,-10.5) and (1,-7.5)
Answers
The equation of the line passing through the points: (3,-10.5) and (1,-7.5) is \(3x+2y+12=0.\)
How to find equation of a line by two-point form?Every point on a line fulfills the equation of that line, which means that every point on the line represents every other point on the line.
The equation of a line passing through two-points \((x_{1} ,y_{1} )\) and \((y_{1} ,y_{2} )\) is given by the formula,
\(y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)\)
So, the equation of the line passing through the points (3,-10.5) and (1,-7.5) will be-
⇒\(y-(-10.5)=\frac{-7.5-(-10.5)}{1-3} *(x-3)\)
⇒\(y+10.5=\frac{-7.5+10.5}{-2} *(x-3)\)
⇒\(y+10.5=\frac{3}{-2} *(x-3)\)
⇒\(y+10.5=\frac{-3x}{2} +\frac{9}{2}\)
⇒\((y+10.5)*2=-3x+9\)
⇒\(2y+21=-3x+9\)
⇒\(2y+3x+21-9=0\)
⇒\(3x+2y+12=0\)
Hence, the equation of the line passing through the points (3,-10.5) and (1,-7.5) is \(3x+2y+12 =0\).
Learn more about equation of line here;
https://brainly.com/question/7098341
#SPJ10