Answer:
Step-by-step explanation:
ΔABD ≅ ΔCBD .
So AD = DC
8x - 4 = 3x + 1 {add 4 to both sides}
8x = 3x + 1 + 4
8x = 3x + 5 {subtract 3s from both sides}
8x - 3x= 5
5x = 5 {divide both sides by 5}
x = 5/5
x = 1
2x+2yequals 5, x-2y equals 3 find the solution set by using method elimination by substitution
The solution set of the given system of equations is {(8/3, -1/6)}.
We are given the following system of linear equations:
2x + 2y = 5 ...(1)
x - 2y = 3 ...(2)
We can use the method of elimination by substitution to solve this system. First, we solve equation (2) for x in terms of y:
x = 2y + 3
Substituting this value of x in equation (1), we get:
2(2y + 3) + 2y = 5
Simplifying the above expression, we get:
6y + 6 = 5
6y = -1
y = -1/6
Substituting this value of y in equation (2), we get:
x - 2(-1/6) = 3
x + 1/3 = 3
x = 8/3
Therefore, the solution set of the given system of equations is:
{(8/3, -1/6)}
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Rectangle WXYZ was dilated using the rule Rectangle W X Y Z is dilated to form rectangle W prime X prime Y prime Z prime. The length of W X is 5 and the length of X Y is 4.. D Subscript Z, twelve-fifths What is W'X'
The length of W'X' is 12 units.
For given question,
The Preimage of the dilation is rectangle WXYZ
The image formed after the dilation is W'X'Y'Z'
We need to find the measure of W'X'
The probable rule for the dilation obtained from a similar question is \(D_{z,12/5}\)
The center of dilation is the vertex Z
The scale factor of the dilation is 12/5
⇒ W'X' = (12/5) × WX
The length of W X is 5
⇒ W'X' = (12/5) × WX
⇒ W'X' = (12/5) × 5
⇒ W'X' = 12 units
Therefore, the length of W'X' is 12 units.
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Answer: 12 units
Step-by-step explanation: I just took the test on edge! :)
What is 76 percent of 33
Answer:
25.08
Step-by-step explanation:
do 76 ÷ 100, and then multiply that by 33
Answer:
76/100*33
0.76*33
25.08
You buy a car for $8,000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?
the length of a rectangle is 11 less than three times the width, and the area of the rectangle is 42. find the dimensions of the rectangle.
The dimensions of the rectangle are length and width are 6 and 11.6 respectively.
L = 3w - 11 ,
where,
L = length of the rectangle and
W =width of the rectangle
A=LW
Here A is Area of the Rectangle which is product of its dimensions i.e., length and breadth.
LW = 42
substituting for l:-
(3W-11)W= 42
3W^2 - 11W - 42 = 0
(3W + 10)(W - 6) = 0
W = 6 or -10/3 (ignore the negative root)
So the width is 6 and the length is 70/6= 11.6
The rectangle's length and width are therefore 6 and 11.6, respectively.
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En una reunión, se observa que el total de va-
rones es a la cantidad de mujeres que no bai-
lan como 7 es a 3 y por cada 2 mujeres que
bailan, un varón no baila. ¿En qué relación se
encuentran el total de mujeres y los varones
que no bailan?
O 3 a 7
O 5 a 2
O 23 a 7
O 4 a 17
O 7 a 3
The total number of women is in the ratio of 7: 3 of the total number of males who do not dance.
Hence, the answer is O 7 a 3.
Given that in a meeting the total number of males is to the number of females who do not dance as 7 is to 3 and for every 2 females who dance, a male does not dance.
We have to determine the relationship between the total number of women and the males who do not dance.
Solution: Let the number of males be 7x, and the number of women who do not dance be 3x.
Now, the total number of people present at the meeting is:
7x + 3x + 2n
where n is the number of women who dance.
The total number of males who do not dance is 2n / 1.
2n = 2n / 2
Therefore, the total number of males is:
7x + 2n / 2
This is equal to the total number of women:
3x + n
Dividing the two, we get:
(7x + 2n / 2) / (3x + n)= (14x + 4n) / (6x + 2n)
= 7x + 2n / 3x + n
Multiply both sides by (3x + n), we get:
7x (3x + n) + 2n
= 21x² + 7xn + 2n
= 7n (3x + 1)
Therefore, the total number of women is in the ratio of 7: 3 of the total number of males who do not dance. Hence, the answer is O 7 a 3.
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True or False: An observational study itself can never establish cause and effect.
We are unable to establish causation or cause-and-effect correlations using observational data. Observational studies are fantastic for describing a particular group, contrasting groups, or looking at the patterns or relationships between variables.
What is an observational study?Observational research Without making any attempts to change the value of the explanatory or response variables, this measurement only considers the response variable's value. To put it another way, in an observational study, the researcher just watches how the participants behave without attempting to sway the results.Observational studies involve observing the results of a risk factor, diagnostic test, treatment, or other intervention without attempting to alter who is or is not exposed to it.Observational studies are less reliable than experimental research, are more subject to bias and confounding, and cannot be used to prove causation.To Learn more About Observational studies Refer To:
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5.What is the area of the triangle?Include the unit of measurein your answer.:::::
Answer: Area = 126 square inches
Explanation:
The formula for calculating the area of a triangle is expressed as
Area = 1/2 x base x height
From the information in the diagram,
base = 18
height = 14
Thus,
Area = 1/2 x 18 x 14
Area = 1/2 x 252 = 252/2
Area = 126 square inches
A $65 coat is on sale for 15% off,
what is the cost of the coat
after the sale?
Answer:
$55.25
Step-by-step explanation:
15% of $65: \(\frac{65}{1}\) × \(\frac{15}{100} = \frac{975}{100}\) $975/100 = $9.75$65 - $9.75 = $55.25I hope this helps!
$55.25 is the cost of the coat after the sale.
Step-by-step explanation:
Given:
Price of the coat = $65
Percentage of discount = 15%
To find:
The cost price of coat after the sale
Solution:
Cost price of coat = $65
Percentage of discount = 15%
The amount of discount will be 15% of the price of the coat.
Amount of discount :
\(=\frac{15}{100}\times \$65 \\=\$9.75\)
The cost price of the coat:
\(=\$65-\$9.75=\$ 55.25\)
$55.25 is the cost of the coat after the sale.
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Write the percent as a fraction and as a decimal.
5% tax
Fraction (simplified) -
Decimal -
Answer:
Fraction = \(\frac{1}{20}\) and Decimal = 0.05
Step-by-step explanation:
Percent means, some number over a hundred.
in this case we have 5%
\(\frac{5}{100} = \frac{1}{20}\)
and for decimal form we just move the decimal 2 places to the left because our denominator is a 100 and we get 0.05.
A reading specialist wanted to estimate the mean word length, in number of letters, for an elementary school history textbook: The specialist took repeated random samples of size 100 words and estimated the mean and standard deviation of the sampling distribution to be 4.9 letters and 0.15 letter; respectively: Based on the estimates for the sampling distribution; which of the following provides the best estimates of the population parameters? a. Mean 4 letters and standard deviation 0.015 letter b. Mean letters and standard deviation 0.15 letter c. Mean 4 letters and standard deviation 5 letters d. Mean 0.49 letter and standard deviation 0.15 letter e. Mean 49 letters and standard deviation 15 letters'
Options a, c, d, and e are not accurate based on the given information and do not provide a good estimate of the population parameters.
Based on the information given, the best estimate of the population parameters is option b. Mean letters and standard deviation 0.15 letter.
The mean word length of 4.9 letters and the standard deviation of 0.15 letters were estimated from repeated random samples of size 100 words from the textbook. These estimates are the best available information for the population parameters.
Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode.
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look at the photo please
Answer:
x=19+20x/11 use cymath
What is the circumference of the circle?
Answer:
\(\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}\)
Step-by-step explanation:
Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.
Now, the formula for the cirumference of a circle = 2πr
Circumference of the circle
= 2πr
= 2 × 3.14 × 5 [π = 3.14]
= 31.4 feet (option E)
\(\rule{150pt}{2pt}\)
- - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond\)
What is the circumference of the circle? (Its radius is 5 ft)
\(\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond\)
The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).
We're asked to find the circumference of the circle, which can be found using the following formula:-
❖ \(\sf{C=2\pi r}\)
Where:-
C=circumferenceπ=pi (3.14...)r=radiusSubstitute 5 for r:-
\(\sf{C=2\pi (5)}\)
On simplification,
\(\sf{C=10\pi}\)
On further simplification,
\(\sf{C=31.4\:feet}\)
So we conclude that the right option is:-
\(\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark\)
Good luck.-- - - - - - - - - - - - - - - - - - - - - - -- - - - - - - -
question in screenshot
Cosine is a trigonometric ratio that means
\( = \frac{adjacent}{hypotenuse} \)
THE ADJACENT SIDE IS THE ONE WITH MAGNITUDE 17CM AND THE HYPOTENUSE IS THE LONGEST SIDE WITH 37CM
COS(63°) AS A FRACTION IS
\( \frac{17}{37} \)
Which dot plot has the least number of sites
represented?
Shield Darter
Zebra Mussel
Number of Sites
Number of Sites
:
1 2 3 4 5 6 7 8 9 10
2
3
4
5
6
7 8 9 10
Number of Shield Darter
Number of Zebra Mussel
Blueback Herring
Calico Crayfish
Number of Sites
Number of Sites
2.
3
4 5 6 7 8 9 10
2 3 4 5 6 7 8 9 10
Number of Calico Crayfish
Number of Blueback Herring
The dot plot with the least number of sites has the least frequency
The dot plot has the least number of sites is the Shield Darter
How to determine the dot plot?To determine the dot plot with the least number of sites, we simply calculate the total frequency of each dot plot
So, we have:
Shield Darter = 3 + 1 + 4 + 2 + 3 + 1 + 1
Shield Darter = 15
Calico Crayfish = 1 + 1 + 3 + 4 + 1 + 2 + 4 + 2
Calico Crayfish = 18
Zebra Mussel = 1 + 3 + 2 + 5 + 1 + 1 + 2 + 3 + 2
Zebra Mussel = 20
Blue back Herring = 3 + 3 + 2 + 1 + 3 + 1 + 4
Blue back Herring = 17
From the computation above, the least frequency is
Shield Darter = 15
Hence, the dot plot has the least number of sites is the Shield Darter
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teacher already gave the answer she wants me to figure out how she got the answer. please help if another boy sends me a link I am going to have a melt down
Answer:
So your Circle equals 360 so what i did was 360-108 and got 252 now if you do 360-252 it will equal 252 don't know if this help but.
Step-by-step explanation:
Which of the following lists would an economist consider to be land?
a. factories, office buildings, assembly lines, workers
b. farm fields, tractors, pesticides, fertilizers
C. dams, bridges, rock quarries, oil wells
d. iron ore, natural gas, fertile soil, water
Please select the best answer from the choices provided
Answer:
C. dams, bridges, rock quarries, oil wells
Answer:
C
Step-by-step explanation:
he is right above me
Find the slope of the line that passes through (-3, 2) and (6, 2).
Answer:
slope = 0
Step-by-step explanation:
(-3, 2) and (6, 2)
slope = (y1 - y2)/(x1 - x2)
remember, either x or y can be used but you have to be consistent
slope = (2-2)/(-3-6)
slope = 0/(-9)
slope = 0
Answer: no slope or 0
Step-by-step explanation:
The y-coordinates are the same for both points but the x coordinates are different. This signals a no-slope line, or a line where the slope is 0. Even if we apply the formula, which is \(\frac{y_2-y_1}{x_2-x_1}\), it still ends up with 0.
i’m confused on this problem , and its due tomorrow for
Answer:
Each slice of pizza is 4 dollars
Step-by-step explanation:
you need to multiply 2.50$ by 3 to get the total of the drinks and subtract it by the overall total of 31.50 to get the total cost of the pizza or 24.00$. Then you divide 24.00$ by 6 since there are 3 people and they each get 2 slices of pizza giving you 4.00$ per slice of pizza.
Congruency please help!
Are these two triangles congruent? Show your reasoning.
I think these two triangles aren't congruent because the side length is between different angles. Please tell me if I am correct or not!
Q.4 What is the difference between price floors and price ceiling? Give example and illustrate graphically in support of your answer.
A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold
Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.
Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.
If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.
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Triangle ABC is graphed in the coordinate plane.• Point C is located at (4, 5).• The distance between A and B is 4 units.• The distance between B and Cis 3 units.Select the correct graph of AABC.
Point C is located at (4,5)
It means
x= 4
y= 5
The only graph that has Point C at (4,5) is graph C.
Graph A, B, and D have point C on (5,5) , (5,4), and (4,-2)
Graph C also has the distance between A and B equal to 4 units, and the distance between B and C equal to 3 units.
Answer: C
What is the value of x in this figure?
Enter your answer in the box.
X
1140
xo
Answer:
114 degrees
Step-by-step explanation:
Because they are vertically opposite angles
Answer:
Step-by-step explanation:
Both angles are opposite of each other, therefore, x = 114
Write an equation for the description.
Ten times the sum of half a number x and 8 ls 12.
Pls awnser Im bad at algebra
Answer:
Step-by-step explanation:
10(1/2x + 8)=12
Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1. 50μm2. Convert this to square meters.
Converting 1. 50μm² to square meters gives 1. 5 × 10 ^-11
What is conversion of units?Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.
From the information given, we are to convert micrometers to square meters
Note that:
1 micrometer ( μm²) = 10^-12m²
Given 1. 50μm² = xm²
cross multiply
x = 1. 50 × 10^-12
x = 1. 50 × 10^-12
x = 1. 50 × 10^-12
x = 1. 5 × 10 ^-11 square meters
Thus, converting 1. 50μm² to square meters gives 1. 5 × 10 ^-11
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Solve: 0.2c + 0.69 = 1.37 c = _____
Answer:
c = 3.4. I hope this is the answer:)
4a + 7 when a= 1/2. plsss help
Simplifying the linear equation 4a + 7 when a= 1/2 is 9
What is Linear Equation?Linear equation is an equation in whi8ch the highest power of the variable is 1
From the linear equation, 4a + 7 when a = 1/2
By substituting for a in the equation
=4(1/2) + 7
By expanding the bracket
=(4x1/2) + 7
=4/2+7
=2+7
=9
Hence, The final answer to the linear equation 4a + 7 when a= 1/2 = 9
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A seal has 1500 nerves per whisker. That is 10 times as many as a rat has.
Answer:
ok
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
It's 150 TRUST ME IT'S RIGHT!
Betsy is ordering prizes for a school fair. She must order 2 helium balloons for every 5 people and 3 stuffed animals for every 8 people. Organizers expect 120 people to attend the fair. TRUE OR FALSE: Betsy orders 48 helium BALLOONS
Answer:
True, she would need to order 48.
Step-by-step explanation:
If you divide the expected number of people (120) by the number of balloons per person (120 divided by 5) then multiply that by 2 you get 48.
Mario walks 9 blocks from his home to a resturant. He then walks back toward home for 5 blocks, where he stops at a bookstore. How many blocks is Mario from his home?
Answer:
4
Step-by-step explanation:
9 - 5 = 4