In the diagram below, ABCD is a parallelogram,AB is extended through B to E, and CE is drawn.DсABEIf CE = BE and m/D = 112°, what is mZE?Your answer
Answers
The opposites angle of a parallelogram are equal. So,
\(\begin{gathered} \angle ABC=\angle CDA \\ \angle ABC=112 \end{gathered}\)Determine the measure of angle CBE.
\(\begin{gathered} \angle CBE+\angle ABC=180 \\ \angle CBE+112=180 \\ \angle CBE=68 \end{gathered}\)Since CE = BE, so oppostie angle to side BE and CE are equal.
\(\begin{gathered} \angle CBE=\angle BCE \\ \angle BCE=68 \end{gathered}\)Consider the traingle BCE.
The sum of three angles of a triangle is 180. So,
\(\begin{gathered} \angle CBE+\angle BCE+\angle CEB=180 \\ 68+68+\angle CEB=180 \\ \angle CEB=180-136 \\ =44 \end{gathered}\)Thus measure of angle E is 44 degree.
Related Questions
why many not making the personality of a person?
Answers
Not sure what this means but. I dont know, why dont u ask the person that makes you ask yourself this
Please please do these questions it’s due tomorrow.
Inflation is at a rate of 7% per year. Today Janelle's favorite bread costs $3.79
What would it have cost ten years ago?
Answers
Answer: $1.92??
Step-by-step explanation:
Answer this fast and I’ll make you Brainly!!!
Answers
Answer:
this is for the num 3 questions and above cuz im only in 4th grade and idk what this is: okay, 3: 6 times C. 4: x minus 1. 5. tdivided by 2. 6: 3 times t subtract 4
Step-by-step explanation:
PLease help me with calculus
Given: \(y-x^{4} y^{3} = x^{3}\)
Find: \(\frac{dy}{dx}\)
Answers
![PLease help me with calculusGiven: [tex]y-x^{4} y^{3} = x^{3}[/tex]Find: [tex]\frac{dy}{dx}[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/o8Jpt1D0TAf5RhrfrUWAWpP11XHkW7BD.png)
A train goes at 78kph for 20 minutes. How long does it travel?
Answers
Answer:
26km
Step-by-step explanation:
The train can travel 78km per hour or per 60 min
78 = 60
x = 20
Cross multiply:
(78)(20) = 60x
1560 = 60x
x = 26
Thus the train travels 26km in 20 min
Answer:
26 km
Step-by-step explanation:
A train goes at 78kph for 20 minutes. How long does it travel?
1 hour = 60 minutes20 minutes = 1/3 hourso
78 * 1/3 =
26 km
Why do you have a premium? That's :(
Answers
Answer:
i dont have a premium
Step-by-step explanation:
Answer:
Step-by-step explanation:
The computer store by the A computer system at the cost of $574.50 the selling price was first $891 but then the storage advertised a 40% markdown on the system.
A) find the current sale price
B) members of the stores loyalty club get an additional 15% off the computer purchases. How much do the club members pay for the computer with their discount
Answers
Answer:
582.40
Step-by-step explanation:
The table shows the age of a painting (x) in years, and its estimated dollar value (y).
A 4-column table with 6 rows. Column 1 is labeled x with entries 50, 54, 62, 65, 68, sigma-summation x = 299. Column 2 is labeled y with entries 1,200, 1,500, 2,400, 3,200, 4,100, sigma-summation y = 12,400. Column 3 is labeled x squared with entries 2,500, 2,916, 3,844, 4,225, 4,624, sigma-summation x squared = 18,109. Column 4 is labeled x y with entries 60,000, 81,000, 148,800, 208,000, 278,800, sigma-summation x y = 776,600.
Which regression equation correctly models the data?
y = 41.47x + 0.09
y = 41.47x + 1,279.93
y = 153.32x – 6,688.54
y = 153.32x – 6,325.76
Answers
Regression equation correctly models the data is: y = -43.98x + 1,279.93
To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.
Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.
The slope (m) can be calculated using the formula:
\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)
Plugging in the values from the table:
m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)
m = (776,600 - 3,708,800 / 6(18,109) - 89,401)
m = (-2,932,200 / 66,654)
m ≈ -43.98
The y-intercept (b) can be calculated using the formula:
b = (Σy - m(Σx)) / n
Plugging in the values from the table:
b = (12,400 - (-43.98)(299)) / 6
b ≈ 1,279.93
The correct regression equation that models the data is:
y = -43.98x + 1,279.93
Out of the given options, the correct regression equation is:
y = -43.98x + 1,279.93
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
The probability is given as follows:
0.278 = 27.8%.
The event is not mutually exclusive, as the probability is different of zero.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of outcomes when two dice are rolled is given as follows:
6² = 36.
The desired outcomes are given as follows:
Doubles: six, (1,1), (2,2), ..., (6,6).Sum of 6: four: (1,5), (2,4), (4,2) (5,1), as (3,3) is already counted as doubles.Hence the probability is given as follows:
(6 + 4)/36 = 5/18 = 0.278 = 27.8%.
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Fon baked a cake and ate 1/8 of it she shared the remaining cake equally to her 4 friends whag Frection of the whole cake did each of her friends received?
Answers
Answer:
Each of her friends ate 7/32 of the cake.
Step-by-step explanation:
Given that Fon baked a cake and ate 1/8 of it, and then she shared the remaining cake equally to her 4 friends, to determine what fraction of the whole cake did each of her friends received, the following calculation must be performed:
(8 - 1/8) / 4 = X
(7/8) / 4 = X
(28/32) / 4 = X
7/32 = X
Thus, each of her friends ate 7/32 of the cake.
I don’t wanna fail if you know the answer pls help :(
Answers
Answer:
90 boxes.
Step-by-step explanation:
5400/60=90
9. Find the range, mean, median, and mode of the following data set. 5, 17, 21, 21, 7, 13, 1, 3 a. Range 20 Mean 11 Median 10 Mode 21 c. Range 20 Mean 10 Median 10 Mode 21 b. Range 24 Mean 11 Median 10 Mode 21 d. Range 20 Mean 11 Median 21 Mode 21
Answers
Mean: 11
Median: 10
Mode: 21
A 0.60-kg basketball is dropped out of a window that is 6.1mabove the ground. The ball is caught by a person whose handsare 1.5m above the gound.1. How much work is done on e the ball by its weight?What is the gravitational potential energy of the basketball,relative to the ground, when it is ... 2. released and 3. caught?4. How is the change (PEf- PE0) in the ball'sgravitational potential energy related to the workdone by its weight?
Answers
The work that gravity does;
W = F.S = mgΔh
In light of the fact that gravity points downward and that displacement is also downward, their angle is 0 and their cosine 1, respectively.
W = mgΔh
g = 9.8 m/s²
Δh = 4.6 m
m = 0.60 kg
W = 0.60 x 9.80 x 4.6
W = 2.7 J
The source of gravitational potential energy in relation to the ground is;
U = mgh
The release point therefore
Ug = mgh(0)
U0 = 0.60 x 9.8 x 6.1
U0 = 35.87 J
At the point of release
U(gf) = mgh(f)
U(gf) = 0.60 x 9.80 x 1.5
U(gf) = 8.820 J
Gravitational potential energy changes are;
ΔU(g) = U(gf) - U0
ΔU(g) = 8.820 J - 35.87 J
ΔU(g) = -27.05 J
Result, we can see that the work done through gravity is the opposite of how the gravitational potential energy has changed.
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Which statement accurately describes the relationship between JKL and MNP?
Answers
The triangles are not similar
Given data ,
Let the first triangle be ΔJKL
Let the second triangle be ΔMNP
Now , the corresponding sides are
JK / JL ≠ NM / MP
where the corresponding sides of similar triangles are not in the same ratio
And , the common angle to both the triangles is ∠J = ∠M
So , ∠J = ∠M and JK / JL ≠ NM / MP
Hence , the triangles are not similar
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please help quickly i really need it
Answers
Answer:
(x - 6)² = 18
Step-by-step explanation:
(x - 6)² = 18
x² - 12x + 36 = 18
x² - 12x + 18
Use the gcf to factor the expression 40x+24y-56
Answers
Answer:
40x+24y-56=
8(5x+2y-7)
Step-by-step explanation:
True or False: You can have 2 right angles in a triangle.
Answers
Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE
Answers
Answer:
52.5 inch square
Step-by-step explanation:
Area of pentagon: A = 1/2 × p × a;
where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.
A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5
The area of the regular pentagon with apothem 3.5 and side 6 is 52.5
What is the area of the regular pentagon?In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.
How to find the area of the regular pentagonGiven the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.
In order to find the area, the formula to calculate the area of the regular pentagon is given by:
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
Where “s” is the side length. And “a” is the apothem length.Now,
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)
\(\text{Area of pentagon} =52.5\)
Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5
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One of the factors of x³ - 27 is x - 3. What is the other factor?
Answers
Answer:
We know that, a³ - b³ = (a - b)(a² + ab + b²)
Now,
x³ - 27 (x)³ - (3)³(x - 3)(x² + 3x + 9)Therefore,
(x² + 3x + 9) is the other factor.Helppppppppppppppppp
Answers
Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 12 10 17 39
Female 2 19 3 24
Total 14 29 20 63
If one student was chosen at random,
find the probability that the student got a B.
Answers
So we can simply take the total number of students that got B and the total number of students overall. That will be 29/63.
29 divided by 63 is 0.46. Multiply that by 100 and you’ll convert that to a percentage, which is 46%.
If one student was chosen at random, the probability that the student got a B is 46%.
Hope this helped!
What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
Answers
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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A recipe used 2/3 cup of sugar for every 2 teaspons of vanilla. How much sugar was used per teaspoon of vanilla?
Answers
Answer:
1/3 cups of vanilla per teaspoon
Step-by-step explanation:
dentify an equation in standard form for an ellipse with its center at the origin, a vertex at (0, 6), and a co-vertex at (2, 0).
Answers
Answer:x2/b2 + y2/a2 = 1 or y2/a2+x2/b2=1
Step-by-step explanation:First of all, only A) and B) are ellipse equations. The other two are hyperbola equations, since they are subtractions.
The vertexes are (x,y) --> (0,6) and (2,0). So a = 6 and b = 2. The major axis is on the y-axis, since 6>2
x2/b2 + y2/a2 = 1 or y2/a2+x2/b2=1
The Science Theater charges $5 for
adult tickets and $3 for student tickets.
Mr. Simon purchased 12 tickets (some
student and some adult) for $54. Write
and solve a system of equations to find
out how many adult tickets and how
many student tickets were purchased.
Please show work!
Answers
Answer:
adult tickets purchased = 9
student tickets purchased = 3
Step-by-step explanation:
a = # of adult tickets purchased
s = # of student tickets purchased
(1) a + s = 12
(2) $5a + $3s = $54
solve equation (1) for s:
s = 12 - a now substitute this into equation (2) so you have an expression all in terms of a
$5a + $3(12 - a) = $54 solve for a
5a + 36 - 3a = 54
2a = 54 - 36 = 18
a = 18/2 = 9 substitute this into equation (1) and solve for s
9 + s = 12
s = 12 - 9 = 3
ratio of 5/20 to 9/20
Answers
Answer:
5:20 to 9:20
Step-by-step explanation:
Anna spends $4.65 each weekday (20 weekdays/month) on coffee and buys a bag of coffee for $8.99 that lasts 6 months. Her monthly income is $2,350. What percent of her monthly income does she spend on coffee? 1) 0.58% 2)4.34% 3) 4.02% 4) 4.65%
Answers
Answer:
C. 4.02%
Step-by-step explanation:
Anna spends $4.65 each weekday (20 weekdays/month) on coffee and buys a bag of coffee for $8.99 that lasts 6 months. Her monthly income is $2,350. What percent of her monthly income does she spend on coffee? 1) 0.58% 2)4.34% 3) 4.02% 4) 4.65%
She spends $4.65/weekday, and there are 20 weekdays/month
In 1 month, she spends:
$4.65/weekday * 20 weekdays/month = $93/month
In 6 months, she spends 6 * $93 = $558
She buys a bag of coffee for $8.99 that lasts 6 months.
The total cost of all coffee in 6 months is:
$558 + $8.99 = $566.99
Her income in 1 month is $2,350
Her income in 6 months is 6 * $2,350 = $14,100
The percent is:
566.99/14,100 * 100% = 4.02%
Answer: 3) 4.02%
Solve and check the following equations. Show your solution.
15.) 7x + 5 = 12x - 10
16.) 26 = 24 - x
17.) 2(6x - 7) = 10
Answers
Answer:
15. x = -3.
16. x = -2.
17 x = 2.
Step-by-step explanation:
To solve the equation 7x + 5 = 12x - 10, we want to isolate the variable x on one side of the equation. We can do this by adding or subtracting terms from both sides of the equation until we have x by itself.
First, let's simplify both sides of the equation by combining like terms:
7x + 5 = 12x - 10
-7x -7x (subtracting 7x from both sides)
5x + 5 = -10
Next, let's isolate the term with x by subtracting 5 from both sides of the equation:
5x + 5 = -10
-5 -5 (subtracting 5 from both sides)
5x = -15
Finally, let's solve for x by dividing both sides of the equation by 5:
5x = -15
x = -3
Therefore, the solution to the equation 7x + 5 = 12x - 10 is x = -3.
26 = 24 - x
-24 -24 (subtracting 24 from both sides)
2 = -x
Next, let's isolate the variable x by multiplying both sides of the equation by -1:
2 = -x
-1 -1 (multiplying both sides by -1)
-2 = x
Therefore, the solution to the equation 26 = 24 - x is x = -2.
2(6x - 7) = 10
12x - 14 = 10
Next, let's isolate the term with x by adding 14 to both sides of the equation:
12x - 14 = 10
+14 +14 (adding 14 to both sides)
12x = 24
Finally, let's solve for x by dividing both sides of the equation by 12:
12x = 24
x = 2
Therefore, the solution to the equation 2(6x - 7) = 10 is x = 2.
Find the slope of the line.
Ay
6
-2, 4)
(
4
2
(2, 2)
-4
-2
2
4
Х
-2
4
The slope is
Answers
Answer:
-1/2 is the slope of the graph.
For each ordered pair (x, y), determine whether it is a solution to the inequality y≤0.
(8,-43)
(4.-22)
(-3,25)
(-7,45)
Is it a solution?
Answers
Answer:
(8,-43)
(4,-22)
Step-by-step explanation:
In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.
For example:
(4,-22)
x=4 ; y=-22
Plug y into the inequality
y≤0
-22≤0
Since the statement is true, I know that (4,-22) must be a solution to the inequality.
Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
Answer:
Step-by-step explanation:
To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.
Let's check each ordered pair:
(8, -43):
The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(4, -22):
The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.
(-3, 25):
The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
(-7, 45):
The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.
So, the solutions to the inequality y ≤ 0 are:
(8, -43) and (4, -22).