Answer:
x = 15
y = 12
m < AED = 83°
m < DEC = 97°
Step-by-step explanation:
According to the given problem:
< AED = (6x - 7)°
< BEC = (4x + 23)°
< AEB = (8y + 1)°
< DEC = (5y + 37)°
Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
Given that < AED and < BEC are vertical angles, then it means that they have the same measure.
The same goes with < AEB and <DEC, they are also considered as vertical angles.
To solve for x:
< AED = < BEC
(6x - 7)° = (4x + 23)°
Subtract 4x from both sides:
6x - 4x - 7 = 4x - 4x + 23
2x - 7 = 23
Add 7 to both sides:
2x - 7 + 7 = 23 + 7
2x = 30
Divide both sides by 2 to solve for x:
2x/2 = 30/2
x = 15
To solve for y:
< AEB = <DEC
(8y + 1)° = (5y + 37)°
Subtract 5y from both sides:
8y - 5y + 1 = 5y - 5y + 37
3y + 1 = 37
Subtract 1 from both sides:
3y + 1 - 1 = 37 - 1
3y = 36
Divide both sides by 3 to solve for y:
3y/3 = 36/3
y = 12
To double check whether our values of x and y are correct, substitute these values into the established equality statements:
< AED = < BEC
(6x - 7)° = (4x + 23)°
[6(15) - 7]° = [4(15) + 23]°
(90 - 7)° = (60 + 23)°
83° = 83° (True statement. Therefore, x = 15 is the correct answer, and m < AED = 83°).
< AEB = <DEC
(8y + 1)° = (5y + 37)°
[8(12) + 1)° = [5(12) + 37]°
(96 + 1)° = (60 + 37)°
97° = 97° (True statement. Therefore, y = 12 is the correct answer, and m < DEC = 97°).
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how many 1/4 of teaspoon are in 5/8 of medicine
Answer:
2
Step-by-step explanation:
2.5 , 1/4 of teaspoon are in 5/8 of medicine.
What is division?Division is the process of splitting a number or an amount into equal parts.
here, we have,
to find how many 1/4 of teaspoon are in 5/8 of medicine,
we have to divide 5/8 by 1/4
i.e. 5/8 ÷ 1/4
=5/8× 4
=5/2
=2.5
Hence, 2.5 , 1/4 of teaspoon are in 5/8 of medicine.
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Write the relation as a set of ordered pairs.
X -2 0 2
у -1 0 1
A: Ordered pairs: ((-1, -2), (0, 0), (1, 2)
B: Ordered pairs: (-2, -1), (0, 0), (2, 1)}
C: Ordered pairs: -1, -2), (0, 0), (2, 1)}
D: Ordered pairs: {(-2,-1), (0, 0), (1, 2)}
Please select the best answer from the choices provided
Answer:
Is B (-2,-1),(0,0),(2,1)
Step-by-step explanation:
x y
-2 -1
0 0
2 1
I think!!??
Perimeter of 316 and 67 m
Answer:
383 m
Step-by-step explanation:
Find m and c for this line
Y+3x=1
Answer:
m = -3 ; c = 1
Step-by-step explanation:
y = -3x + 1
y = mx + c
m = -3
c = 1
2.
Elena has a
pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit. Which measurement is in ounces,
and which is in grams?
170
Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
What is measurement?
An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit.
We have to find the correct units from grams and ounces for these.
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
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5. Jennifer bought 14.75 gallons of gasoline for her car at a cost of $2.95 a gallon. Which is closest to the amount she paid for the gasoline? Responses
A. less than $35.00
B. between $35.00 and $40.00
C. between $40.00 and $45.00
D. more than $45.00
At colleges in Jacksonville, do tennis coaches generally get paid more than football coaches?
It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors
As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.
In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.
However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.
Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.
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Consider the probability that no more than 76 out of 504 computers will crash in a day. Choose the best description of the area under the normal curve that would be used to approximate binomial probability.
a. Area to the right of 75.5
b. Area to the right of 76.5
c. Area to the left of 75.5
d. Area to the left of 76.5
e. Area between 75.5 and 76.5
Answer:
e
Step-by-step explanation:
Rewriting 3x^2=6x and solving with rewritten
Answer:
x = 0 , x = 2
Step-by-step explanation:
3x² = 6x ( subtract 6x from both sides )
3x² - 6x = 0 ← factor out 3x from each term
3x(x - 2) = 0
equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 2 = 0 ( add 2 to both sides )
x = 2
solutions are x = 0 , x = 2
7th grade math help me plzzzzzz
Answer:
4.5 \(ft^{2}\)
Step-by-step explanation:
\(\frac{3*1.5}{2}\) = 2.5
So, all 5 inches becomes 3 ft, so half of 3 is 1.5.
1.5 times 3 is 4.5, divided by 2 is 2.25.
2.25 is the shaded area
Two of the triangles combined is 4.5, and the small and big traingle combined is 6.75.
Draw a triangle ABC, where AB = 8 cm , BC = 6 cm and angle B=70^ and locate its circumcentre and draw the circumcircle.
Step-by-step explanation:
ΔABC, where AB = 8 cm, BC = 6 cm, B = 70° Construction: (i) Draw the ∆ABC with the given measurements. (ii) Construct the perpendicular bisector at any two sides (AB and BC) and let them meet at S which is the circumcircle. (iii) S as centre and SA = SB = SC as radius, draw the circumcircle to pass through A, B, and C. Circum radius = 4.3cm .draw-triangle-abc-where-cm-bc-and-70-and-locate-its-circumcentre-and-draw-the-circumcircle
What is the value for x?
8. A tap was turned on to fill a container with water. The graph below shows the amount of water in the container over 30 minutes. (a) 6000 (b) 5000 Amount of Water 3000 (cm³) 4000 2000 1000 0 0 5 10 15 20 25 30 Duration (mins) How much water did the tap fill the container with in one minute? 3 - filled with water. What 4 At the end of 30 minutes, the container was percentage of the container was filled with water before the tap was turned on? Round your answer to 2 decimal places.
If the container has a capacity of 6000 cm³, then it was completely filled with water at the end of 30 minutes.
What is total capacity?Total capacity refers to the maximum amount or volume that a given system, machine, container, or facility can hold or accommodate. It is the total amount that can be held or processed under ideal or maximum conditions, without overloading or damaging the system.
According to question:(a) To find the amount of water filled by the tap in one minute, we can calculate the change in the amount of water over one minute, which is the slope of the line. Looking at the graph, the amount of water increases by 1000 cm³ over 5 minutes, so the amount of water filled in one minute is:
1000 cm³ / 5 minutes = 200 cm³/minute
Therefore, the tap filled the container with 200 cm³ of water every minute.
(b) At the beginning of the 30 minutes, the container was empty, so 0% of the container was filled with water. At the end of the 30 minutes, the container was filled with 6000 cm³ of water. The total capacity of the container is not given in the question, so we cannot determine the percentage of the container that was filled with water.
However, if we assume that the container has a capacity of 6000 cm³, then the percentage of the container that was filled with water at the end of 30 minutes is:
(6000 cm³ / 6000 cm³) x 100% = 100%
So if the container has a capacity of 6000 cm³, then it was completely filled with water at the end of 30 minutes.
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What is 6 1/4% of 95?
What is 3/10% of 115?
Calculate the actual sales since the sales and sales tax were rung up together. Assume sales tax of 6% and total sales of $33,000.
Answer:
the actual sales be $31,132
Step-by-step explanation:
The computation of the actual sales is as follows:
Let us suppose the actual sales be x
Now the sales tax be 0.06x
Now the total sales would be
x + 0.06x = $33,000
1.06x = $33,000
x = $33,000 ÷ 1.06
= $31,132
hence, the actual sales be $31,132
The same is to be considered by applying the above equation
Answer:
actual sales be $31,132
Step-by-step explanation:
Please help me on this
Answer: Not gonna spoon feed but the ratio is -3
6 * -3 = -18
-18 * -3 = 54
u should be able to get t4, t5 and t6 now by urself
2x + 5x+3 combine like terms
Answer:
7x + 3
Step-by-step explanation:
A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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Solve the equation
9(n +5) = 3(15 + 3n)
..
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers,
O C. There is no solution.
(Answer quickly)
Answer:
B... all real numbers :)
A coral reef grows 0.14 m every week. How much does it grow in 13 weeks?
Answer: 1.82 m
Step-by-step explanation:
Ratios
0.14 n 0.14 x 13 = 1.82
1. 13 1.82/1 = 1.82
Question 3 (1 point)
The following TV has a size of 70 inches and an aspect ratio of 4:3.
Find the width of the computer screen.
Round to the nearest whole
Answer:
56 inches
Step-by-step explanation:
The aspect ratio of a TV in elementary terms is width/height expressed as a ratio. A 4:3 aspect ratio means that the width:height is 4:3
The size of a TV is the diagonal measure of the TV
For the given TV we are given that the size is 70 inches. This means the diagonal is 70 inches in length
If we let W = width and H = height of TV
Aspect ratio 4:3 means W/H = 4/3
H = 3W/4 (height:width = 3:4)
The diagonal D can be calculated from the width and length of the TV using the Pythagorean theorem
D² = W² + H²
Substitute H = 3W/4
D² = W² + (3W/4)²
D² = W² + 9W²/16
D² = (16W² + 9W²)/16
D² = 25W²/16
D = √(25W²/16) = 5W/4
W= 4D/5
Given D = 70 inches
W = (4 x 70)/5
W = 280/5
W = 56 inches
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
Help!
How to get over a huge crush
Answer:
there are cute boys on Tik-tok or you can try and think about something happy
Step-by-step explanation:
Please help!! Ill give the brainliest thing! :)
Answer: the second one
Step-by-step explanation:
0.2; for each additional day after the kitten is born, its weight is predicted to increase by 0.2 ounces.
The scale on a map shows that 1.5 inches represents 100 miles. The distance between two cities on the map is 4.5 inches What is the
actual distance between the two cities?
A 300 miles
B 450 miles
C 600 miles
D 675 miles
Answer:
a 300 miles
Step-by-step explanation:
4.5 inches = 3×1.5 inches
so
4.5 inches = 3×100 miles = 300 miles
Write an equation for the line parallel to the line -7x - 7y= 7 through the point (-1,2)
Answer:
\(y=-x+1\)
Step-by-step explanation:
Slope-Intercept Formula:It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:
\(-7x-7y=7\)
add 7x to both sides:
\(-7y=7x+7\)
Divide both sides by -7
\(y=-x-1\)
Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:
\(y=-x+b\text{ where b }\ne -1\)
We're given the point (-1, 2) and we can use it to solve for that "b" value.
We plug in -1 as x and 2 as y
\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)
Now we just plug this into the general equation to get: \(y=-x+1\)
List the sample space for rolling a fair 12-sided die.
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
S = {1}
S = {12}
The sample space for rolling a fair 12-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
What is sample space?Sample space is a set of all possible outcomes of an experiment or random event. It is the collection of all possible results or outcomes that can occur when a particular event is performed.
In the given question,
The sample space is the set of all possible outcomes of an experiment. In this case, the experiment is rolling a fair 12-sided die. The sample space would include all possible values that the die can land on when rolled.
Since a 12-sided die has 12 equally likely outcomes, the sample space would consist of the numbers 1 through 12. However, only one of the options presented in the question includes all 12 numbers in the sample space, which is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Option S = {1, 2, 3, 4, 5, 6} represents the sample space of a regular 6-sided die, while options S = {1} and S = {12} only include one possible outcome, which is not applicable for a 12-sided die.
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The distance traveled can be calculated using the formula
D= s t where s is the speed and t is the total time. If a bus
traveled 25 mi/h for 7 hours, how far did the bus travel?
From the distance formula
\(d=s \times t\)
Now placing the given values
\(d = 25 \times 7\)
\(d = 175\)
Hence the bus traveled 175m (meters)
The tickets for the field trip were purchased yesterday for both students and instructors. Children tickets cost $9, adult tickets cost $11. The number of children tickets purchased was three more than ten times the number of adults tickets purchased. How many of each were purchased if all of the tickets cost a total of $936 dollars?
The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."
According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.
The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:
9c + 11a = 936
Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:
c = 10a + 3
We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:
9(10a + 3) + 11a = 936
90a + 27 + 11a = 936
101a = 936 - 27
101a = 909
a = 909 / 101
a = 9
Substituting this value back into the second equation, we find:
c = 10(9) + 3
c = 90 + 3
c = 93.
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of
the second and third angles is five times the measure of the first angle. The third angle
is 26 more than the second. Let x, y, and z represent the measures of the first, second,
and third angles, respectively. Find the measures of the three angles.
The measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.
What is Iinear equatiοn?A Iinear equatiοn is a mathematicaI equatiοn that describes a straight Iine in a twο-dimensiοnaI pIane.
We can use the infοrmatiοn given in the prοbIem tο fοrm a system οf three equatiοns with three variabIes. Let x, y, and z represent the measures οf the first, secοnd, and third angIes, respectiveIy.
Frοm the first piece οf infοrmatiοn, we knοw that: x + y + z = 180
Frοm the secοnd piece οf infοrmatiοn, we knοw that: y + z = 5x
Frοm the third piece οf infοrmatiοn, we knοw that: z = y + 26
We can substitute the third equatiοn intο the secοnd equatiοn tο eIiminate z:
y + (y + 26) = 5x
2y + 26 = 5x
2y = 5x - 26
y = (5x - 26)/2
We can substitute this expressiοn fοr y intο the first equatiοn tο eIiminate y and z:
x + (5x - 26)/2 + (5x - 26)/2 + 26 = 180
2x + 5x - 26 + 26 = 360
7x = 360
x = 51.43
We can substitute this vaIue οf x back intο the expressiοn fοr y tο find y:
y = (5x - 26)/2
y = (5(51.43) - 26)/2
y = 92.85
FinaIIy, we can use the equatiοn z = y + 26 tο find z:
z = y + 26
z = 92.85 + 26
z = 118.85
Therefοre, the measures οf the three angIes are x = 51.43 degrees, y = 92.85 degrees, and z = 118.85 degrees.
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