Answers
By using the fact that EBC and ABE are supplementary angles, we will see that the measure of angle EBF is 106 degrees.
How to find the measure of the angle EBF?First, we can notice that angles EBC and ABE are supplementary angles, which means that their measures add up to 180°.
Then we can write:
m∠EBC + m∠ABE = 180°
Replacing what we know we get:
3y + 10 + 2y - 20 = 180°
Now we can solve this linear equation for y, we will get:
5y - 10 = 180
5y = 180 + 10
y = 190/5 = 38
Then we have that:
EBC = 3*38 + 10 = 124°
ABE = 2*38 - 20 = 56°
Now, in the image it says that:
ABE = 2b = 56°
then b = 56°/2 = 28°
And ABF = 7b - 24 = 162°
Then:
EBF = ABF - ABE = 162° - 56° = 106°
We conclude that the measure of angle EBF is 106 degrees.
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Related Questions
Use the drawing tools to form the correct answer on the graph.
Graph this function.
f(x) = - 1/3x + 8
Answers
Answer: Use Desmos Graphing Calc, helps for graph like these
Step-by-step explanation:
1. Place a point on (0,8)
2. Then go down -1/3
P.S: REMEMBER RISE OVER RUN
9643x48 paso a paso a paso
Answers
Answer: 462,864
Step-by-step explanation:
[tex]9614 \\x\\8\\\\\\=\\77144\\\\9643\\x\\4\\38572\\\\77144+38572 = 77144[/tex]
Josiah has a job washing cars. He earns $35 for each car he washes. On Monday, he washed 7 cars. On Tuesday, he forgot to count how many cars he washed. He earned $560 for the two days. Josiah wants to find how many cars he washed on Tuesday.
Write the equation that Josiah can use for the situation above. (Use the variable x)
How many cars did Josiah wash on Tuesday?
( I know that the answer would be X=9 but how do I write the equation.)
Answers
Answer:
245 + 35x = 560
Step-by-step explanation:
35 x 7 = 245 (for monday)
Then the equation should be
245 + 35x = 560
It looks like you solved it too, your answer is correct btw! Lmk if you need help with the steps, or anything
Also, how you make this equation is this, you put how much he earned for monday, and then add it to 35x (x being the amount of cars he did) make sure to do = 560 at the end so you can solve it :)
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Step-by-step explanation:
Since he gets 35$ for every car he washes and washed seven cars on Monday, he got 35*7=245. Now, you can minus the amount from it to 315. 315/35 is 9, so nine is your answer.
To phrase it into an equation, you can do when x=amount of cars washed, 35x=560-7*35.
Hope this helped!
Which figure has a significant zero?
A) 2000
B) 506
C) 0.00412
D) 70
Answers
Why do you think calculators change the way of scientists notation appears
Answers
Answer:
Yes because, Maybe because it's sometimes of technology occurs many things such as we no longer using old stuffs and living because. Even the calculator it's similar
yall I really need help. Ill give brainliest^^
What are the domain and range of the function the quantity of x squared minus 4 x minus 12, all over x plus 2? domain is x is all real numbers where x does not equal negative 2 comma range is y is all real numbers where y does not equal negative 8 domain is x is all real numbers where x does not equal 4 comma range is y is all real numbers where y does not equal negative 2 domain is x is all real numbers where x does not equal 2 comma range is y is all real numbers where y does not equal 8 domain is x is all real numbers where x does not equal negative 4 comma range is y is all real numbers where y does not equal 2
Answers
Using it's concept and the graph of the function, the domain and the range are given as follows:
Domain: All real values of x.Range: All real values of y.What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input of the function.The range of a function is the set that contains all the values of the output of the function.In a graph, the domain and the range are found as follows:
The domain is given by the values of x, present in the horizontal axis of the graph.The range is given by the values of y, present in the vertical axis of the graph.For this problem, the function is given by the following rule stated in the problem:
f(x) = (x² - 4x - 12)/(x + 2).
The graph of the function is given at the end of the answer. From it, we can see that the function unexpectedly devolves into a linear function. This is because -2 is a factor of x² - 4x - 12, hence (x² - 4x - 12) = (x + a)(x + 2), and x + 2 is simplified with the denominator.
The function is defined for all real values, and also assume all real values, hence:.
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What is the slope, y intercept and equation
Answers
to get the equation of any straight line, we simply need two points off of it, let's use those points from the picture below.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{4 +2}{3 -1} \implies \cfrac{ 6 }{ 2 }\implies 3[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \implies y +2= 3 (x -1) \\\\\\ y+2=3x-3\implies {\LARGE \begin{array}{llll} y=3x\underset{(0~~,~~-5)}{\stackrel{\stackrel{y-intercept}{\downarrow }}{-5}} \end{array}}[/tex]
A student's four test grades are stored in cells a10, b10, c10, and d10. which excel statement will calculate the test average of these 4 grades?
Answers
The excel statement to estimate the test average of these 4 grades is -
Click a cell just below column or on the right of the row containing the numbers you want to average.Click the arrow next to AutoSum > Average on the HOME tab, then press Enter.What is termed as average function?An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.
Assume we have the following sequence of numbers: 1, 2, 3, 4, 1, 2, and 3. The sum of the these numbers is 16, and the number of numbers divided by 7 is 2.28. As a result, the average of the these numbers is 2.28.In Microsoft Excel, how do you find the average?The average of multiple cells in Microsoft Excel and other spreadsheets can be calculated using the appropriate formula. The formula in the following example calculates the average of the values found in cells A1 through F1 of the first column : =AVERAGE(A1:F1)You would use the same row but modify the cells to cells in a row to calculate the average of cells in one row. For instance, the formula recognizes the average value in cells A1 via A20 when placed in cell A21. =AVERAGE(A1:A20)To know more about the Microsoft Excel, here
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there are blank vaues in the data set which are greater than or equal to 10 and less than or equal to 19. there are blank vlaues in the data set which are greater than or equal to 30 and less than or equal to 39. there are blank values in the data set which are greater than or equal to 20 and less than or ewual to 29
Answers
According to the given data set:
values10,11,12,13,14,17,17,18,18,19,19,19,21,23,23,25,26,27,27,27,31,32,33,33,36,37,37,38,38more than 20 and less than or equal to 29 values21,23,23,25,26,27,27,27more than 20 and less than or equal to 29 values.
What is an example of a data set?A data set is a group of figures or values related to a specific topic. A data set might include, for instance, each student's test results in a certain class. A data set is the number of fish that each dolphin consumes in an aquarium.
According to the given data:There are eight values that are both bigger than 20 and less than 29.The data collection has 12 values that are both higher than or equal to 30 and lower than or equal to 39.Values greater than nor equal to 30 and less than or equal to 3931,32,33,33,35,36,37,37,37,38,38The data collection has 12 values that are both higher than or equal to 30 and lower than or equal to 39.
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Find a polynomial f(x) of degree 5 that has the following zeros. 9,8,0,4,-3 leave your answer in factored form
Answers
Step-by-step explanation:
x(x-4)(x+1) is a 3 degree polynomial in factored form with zeros 0,4 and -1
Just take each zero and change its sign, then stick an x in front of it to get the 3 factors
(x-0)(x-4)(x- -1) = x(x-4)(x+1)
= x(x^2-3x-4)
= f(x) = x^3 -3x^2 -4x
f(0) = 0
f(4) = 64-3(16)-4(4) = 0
f(-1) = -1 -3(-1)^2 -4(-1) = 0
graph the polynomial and it intersects the x axis in 3 places, the origin (0,0), (4,0) and (-1,0)
What two numbers add up to -5 and multiply to 4
Answers
The bar graph shows the estimated number of
K
3200 Females
Group 4
Males
Group 3
2407
2210
calories per day needed to maintain energy balance Calories Needed to Maintain Energy Balance for Sedentary Lifestyles
for various gender and age groups for sedentary
lifestyles. (Sedentary means a lifestyle that includes
only the light physical activity associated with typical
day-to-day life.) The mathematical model
F=-81x² +655x+617 describes the number of
calories needed per day, F, by females in age group
x with sedentary lifestyles. According to the model,
how many calories per day are needed by females
between the ages of 9 and 13, inclusive, with this
lifestyle? Does this underestimate or overestimate
the number shown by the graph? By how much?
Calories per Day
2400
Group 2
Group 116751795 1931
1600- 1407
1121
800-
***
0-
4-8
9-13
Group 5
2193
1861 1797
14-18 19-30 31-50
Age Range
Group 6
1996
1553
51+
According to the model, how many calories per day are needed by females between the ages of 9 and 13,
inclusive, with this lifestyle?
Type a whole number.)
Answers
Using the given bar graph, it is found that 1675 calories per day are needed by females between 9 and 13 years old, with this lifestyle.
What does a bar graph show?A bar graph shows the number of times that each observation appears in the data-set.
From the bar graph in this problem, the number of calories needed for females given the age is as follows:
4-8: 1407.9-13: 1675.14-18: 2210.19-30: 2407.31-50: 2193.51+: 1996.Hence, 1675 calories per day are needed by females between 9 and 13 years old, with this lifestyle.
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Pablo finished his English assignment in 1/4
hours. Then he completed his history assignment in 4/5 hours. How much more time did Pablo spend on his history
4
assignment?
Write your answer as a fraction in simplest form.
Answers
Answer:
11/20
Step-by-step explanation:
Answer:
33/60 might be correct.
Step-by-step explanation:
1/4 hours is 15 minutes. 4/5 hours is 48 minutes
48-15=33 more minutes
SOS PLEASE, I DONT UNDERSTAND
Answers
Answer:
8ft
Step-by-step explanation:
i believe it's eight feet?
Is the following relation a function? Justify your answer. Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 2, 4, and negative 1. The y circle contains the numbers 2, negative 2, and 1. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 2, from negative 2 to 2, from 4 to 1, and from negative 1 to 1. Yes, because each output value has only one input value Yes because each input value has only one output value No, because there is an input value with more than one output value No, because there is an output value with more than one input value
Answers
each input is mapped into only one output, so this is in fact a function.
Is the following relation a function?A relation is a function if and only if each input is mapped into only one output.
Remember that an ordered pair is of the form (x, y), where x is the input and y the output.
In this case, the relation is defined by the ordered pairs:
(6, -2), (2, 2), (4, 1), (-1, 1)
We can see that each input is mapped into only one output, so this is in fact a function.
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convert 4724.80345 base ten to a binary number via octal.
Answers
After the conversion of the given decimal number, the binary number is (1001001110100.11001101)₂.
What are binary numbers?A binary number is a number expressed in the base-2 numeral system, also known as the binary numeral system, which is a method of mathematical expression that uses only two symbols, typically "0" and "1." The base-2 numeral system has a radix of 2 and is a positional notation. Each digit is known as a bit or binary digit.For the decimal number 4724.80345, the binary number is (1001001110100.11001101)₂.
(Refer to the table given below for working)
Therefore, after the conversion of the given decimal number, the binary number is (1001001110100.11001101)₂.
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The correct question is given below:
Convert 4724.80345 base ten to a binary number.
Toni & Warren are collecting foods for their
school's canned food drive. Toni started with 400
cans and collected 13 more each day. Warren
started with 40 cans and collected 22 more each
day. How long before Toni & Warren have the
same number of cans for their food drive?
Answers
Answer:
40 days
Step-by-step explanation:
Let d be the number of days.
[tex]400 + 13d = 40 + 22d[/tex]
[tex]360 = 9d[/tex]
[tex]d = 40[/tex]
please help
10101010101000
Answers
Answer:
I did this and I got it wrong so i did some so it said x=10 so im suggesting interpolation
Finding an angle measure given extended angles
Answers
Answer:
thanks for the points
Step-by-step explanation:
thanks for the points
A cat is in the top of a tree so you will save it you are standing 23 m away from the tree the angle of elevation to the cat is 54 how long does the ladder need to be fro you to get to get the cat?
Answers
The ladder needs to be 34.3m long from tree you to get to get the cat.
We must determine the hypotenuse in this right triangle, which is the side that is opposite the triangle's 90° angle. When the neighboring side is 23 meters away, the elevation angle is 54°
Suppose Hypotenuse equals h.
Given, the base is 23m
Using trigonometry,
tan θ = Base / hypotenuse
tan 54° = 23 / h
⇒ 0.67 = 23 / h
⇒ h = 23 / 0.67
⇒ h = 34.3
So, the ladder needs to be 34.3m away in order to reach cat.
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The table below shows the number of gallons of gasoline used and the miles driven for different types of cars.
Type of Car Gallons of Gasoline Used Miles Driven
A
5 : 106
B
10 :204
C
15 : 298
D
20 : 392
Which type of car had the HIGHEST number of miles per gallon?
A
Type A
B
Type B
C
Type C
D
Type D
Answers
Type A car has the highest number of miles per gallon.
Given that the miles driven by a Type A car is 106 miles for 5 Gallons of Gasoline.
⇒ miles per gallon for a Type A car = 106/5 = 21.2 miles/gallon
Given that the miles driven by a Type B car are 204 miles for 10 Gallons of Gasoline.
⇒ miles per gallon for a Type B car = 204/10 = 20.4 miles/gallon
Given that the miles driven by a Type C car are 298 miles for 15 Gallons of Gasoline.
⇒ miles per gallon for a Type A car = 298/15 = 19.87 miles/gallon
(approximate to the two places of decimal value)
Given that the miles driven by Type D car are 392 miles for 20 Gallons of Gasoline.
⇒ miles per gallon for a Type D car = 392/20 = 19.6 miles/gallon
Therefore we have the following:
Type A - 21.2 miles/gallon
Type B - 20.4 miles/gallon
Type C - 19.87 miles/gallon
Type D - 19.6 miles/gallon
It is clear from the above data, that type A car has the highest number of miles per gallon.
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I don’t understand how to do this equation 12x when x =6
Answers
Answer:
72
Step-by-step explanation:
when x = 6
then replace x with 6 in the equation
12x
= 12(6)
= 72
If OM=103 MN=108 ON=84 PQ=54 RQ=42 find the perimeter of pqr
Answers
By additive property of line segments, the length of the line segment PR is equal to a length of 96 units.
What is the perimeter of a combination of line segments?
According to geometry, the perimeter of a figure, closed or not, is the sum of the lengths of its sides, each represented by a line segment. In this question, we must determine the perimeter of two line segments, whose definition is found by additive property of line segments:
PR = PQ + QR (1)
Where PR, PQ and QR are the lengths of the three line segments. If we know that PQ = 54 and QR = 42, then the length of the line segment PR is equal to:
PR = PQ + QR
PR = 54 + 42
PR = 96
Therefore, the length of the line segment PR is equal to a length of 96 units.
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Suppose there are 1000 lockers in a school hallway and they are all closed. Only 50 students
come through the hallway and start opening and closing the lockers. The first student opened all
the lockers. The second student closed every second locker and so forth. The Third student
changes the state of every 3rd locker. The fourth student changes the state of every 4th locker,
the fifth student changes the state of every 5th locker and so on, until the 50th student.
a. What is the state of the following locker numbers: #91, #1505, #625, #1000?
i. How do you know? (please show how you know)
Answers
Answer:
Suppose there are 1000 lockers in a school hallway and they are all closed. Only 50 students
come through the hallway and start opening and closing the lockers. The first student opened all
the lockers. The second student closed every second locker and so forth. The Third student
changes the state of every 3rd locker. The fourth student changes the state of every 4th locker,
the fifth student changes the state of every 5th locker and so on, until the 50th student.
a. What is the state of the following locker numbers: #91, #1505, #625, #1000?
i. How do you know? (please show how you know)
find an equation for the plane consisting of all points that are equidistant from the points (−7, 1, 1) and (3, 3, 5).
Answers
The equation for the plane consisting of all points that are equidistant from the points (−7, 1, 1) and (3, 3, 5) is 20x + 4y + 8z = -9.
How to determine the equation for this plane?In order to determine the distance of this plane (x, y, z) with the given points, we would use the distance formula.
Mathematically, the distance between three (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]
For these points (x, y, z) and (−7, 1, 1), the distance is given by:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]
Distance = √[(x₂ - (-7))² + (y₂ - 1)² + (z₂ - 1)²]
Distance = √[(x₂ + 7)² + (y₂ - 1)² + (z₂ - 1)²]
By using the algebraic formulas, the expanded expression is given by:
(a - b)² = a² - b² - 2ab
(a + b)² = a² + b² + 2ab
Distance = √[(x² + 14x + 49) + (y² - 2y + 1) + (z² - 2z + 1)] .......equation 1.
For these points (x, y, z) and (3, 3, 5), the distance is given by:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]
Distance = √[(x - 3)² + (y - 3)² + (z - 5)²]
Distance = √[(x² - 6x + 9) + (y² - 6y + 9) + (z² - 10z + 25)] .....equation2.
Since both distances are equidistant, we would equate eqn. 1 and eqn. 2 and then simplify:
√[(x² + 14x + 49) + (y² - 2y + 1) + (z² - 2z + 1)] = √[(x² - 6x + 9) + (y² - 6y + 9) + (z² - 10z + 25)]
(x² + 14x + 49) + (y² - 2y + 1) + (z² - 2z + 1) = (x² - 6x + 9) + (y² - 6y + 9) + (z² - 10z + 25)
x² + 14x + 49 + y² - 2y + 1 + z² - 2z + 1 = x² - 6x + 9 + y² - 6y + 9 + z² - 10z + 25
14x + 6x - 2y + 6y - 2z + 10z + 52 - 43 = 0
20x + 4y + 8z + 9 = 0
20x + 4y + 8z = -9.
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The approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits. 1.29 x 104 lbs. 1.3 x 104 lbs. 5.1 x 103 lbs. 12 x 103 lbs.
Answers
The total weight of the two animals is 1.3 x 10^4 lbs.
How to determine the total weight of the two animals?The given parameters are
Animal 1 = 4.23 x 103 lbs.
Animal 2 = 8.7 x 103 lbs.
Rewrite the parameters properly
Animal 1 = 4.23 x 10^3 lbs.
Animal 2 = 8.7 x 10^3 lbs.
The total weight of the two animals is calculated as
Total weight = Animal 1 + Animal 2
This gives
Total weight = 4.23 x 10^3 lbs + 8.7 x 10^3 lbs.
Factor out 10^3 lbs
Total weight = (4.23 + 8.7) x 10^3 lbs.
Evaluate the sum
Total weight = 12.93 x 10^3 lbs.
Rewrite as
Total weight = 1.293 x 10^4 lbs.
Approximate
Total weight = 1.3 x 10^4 lbs.
Hence, the total weight of the two animals is 1.3 x 10^4 lbs.
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Deon cut away 1.52 meters of rope. Before that, he had 3 meters of rope. How much rope does Deon have left?
Answers
Answer:
1.48
Step-by-step explanation:
first find the half of 3 and then minus 2
Answer:
1.48 meters
Step-by-step explanation:
3.00-1.52= 1.48m
Y is inversely proportional to the cube of x when x=1/2,y=24 find the formula for y in terms of x
Answers
The formula for y in terms of x is y = 3/x³.
Inversely Proportional:
When two variables are inversely proportional to each other, then the value of one quantity increases with respect to decrease in other or vice-versa.
So, it can be written as,
y = k/x
where,
y is inversely proportional to x and k is the constant of proportionality.
Given,
Y is inversely proportional to the cube of x.
Here we need to find the formula for y in terms of x.
We know that, y is inversely proportional to the cube of x.
So, it can be written as
=> y = k / x³
Where k is the constant.
To find the formula of y,
First we need to find the value of k,
By applying the value of x and y,
So,
=> 24 = k / (1/2)³
=> 24 = k / 1/8
=> 24/8 = k
=> k = 3
Therefore, the formula for y in terms of x is,
=> y = 3/ x³
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Write an equation in standard form for the line that passes through the given points.
(5,-2) and (5,3)
The equation of the line in standard form is
(Type your answer in standard form.)
Answers
x=5 is the required equation of straight line
What is slope of line ?The steepness of a line is determined by its slope. The slope is m in the equation for a line that is typically used, y = mx + b. The term "rise over run" is also frequently used to describe it and describes how much the y-value changes as the x-value does.
According to the given value;
slope of line is Y₂-Y₁/X₂-X₁
hence slope for given line will be
3-(-2)/5-5 =5/0 = ∞
slope is infinity means straight line is vertical in nature and vertical lines are of the form x=a where a is some constant
now we can observe that 5 is constant in both the given points so x=5 is the required line which passes through (-2,-6),(-2,5)
Hence,x=5 is the required equation of straight line .
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the equation 1.2+61=2r(4-6) HELP MEEEEEEEEEEEEEEEE PLEASE
Answers
The value of "r" in the given equation is -15.55.
The equation given is,1.2 + 61 = 2r(4-6)Add the two numbers present on the left hand side of the equation.62.2 = 2r(4-6)Subtract the two numbers present on the right hand side of the equation in brackets.62.2 = 2r(-2)Multiply the two numbers present on the right hand side of the equation.62.2 = -4rDivide both the sides of the equation by the common factor, i.e., -4.62.2/(-4) = (-4r)/(-4)Cancel terms that are in both the numerator and denominator.-15.55 = rMove the variable to the left hand side of the equation.r = -15.55To learn more about equations, visit :
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