The given statement if DG congruent to GE and FH congruent to HE then GH || DF and GH = (1/2) DF is proved.
The figure according to the information is given by,
Here in the figure, DG congruent to GE and FH is congruent to HE.
So, EG = (1/2) DE and HE = (1/2) EF
and the ∠E is common for both triangle DEF and triangle EGH.
So triangle DEF and triangle EGH are similar by SAS similarity rule.
So, GH/DF = HE/EF
GH/DF = 1/2 [Since HE = (1/2) EF]
GH = (1/2) DF
Again ∠H = ∠F and they are corresponding angles with respect to lines GH and DF and transversal of them EF.
So, GH is parallel to DF. Therefore, GH || DF.
Hence the given statement is proved.
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1. Tyrel walks Mrs. Murray's dog each day for $10 per week. How much does he earn each day for walking the dog?
Answer:
$1.42 / day
Step-by-step explanation:
Divide 10 by 7. 10 for the amount of money being paid, 7 for the amount of days in a week.
Which correlation coefficient best represents a moderate relationship showing fewer anxiety symptoms.
The correlation coefficient that best represents a moderate relationship showing fewer anxiety symptoms is a negative correlation coefficient.
In a negative correlation, as one variable increases, the other variable decreases. In the context of anxiety symptoms, a negative correlation would indicate that as one factor (e.g., a particular intervention, treatment, or activity) increases, the number or severity of anxiety symptoms decreases. This suggests a moderate relationship between the two variables, indicating that the higher the value of the independent variable, the lower the value of the dependent variable (in this case, fewer anxiety symptoms).
The correlation coefficient ranges from -1 to 1, with -1 representing a perfect negative correlation, 0 representing no correlation, and 1 representing a perfect positive correlation. A correlation coefficient close to -1, but not reaching -1, would be indicative of a moderate negative correlation and would best represent a moderate relationship showing fewer anxiety symptoms.
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Can someone plz help me thank u sooo much .-.
Answer:
175
Step-by-step explanation:
hey! so it's basically an "estimate" meaning that you can round all the measurements up to the nearest whole number. and since finding the prism's volume is l*h*w divided by 2, i did 7*5*10 and got 350. half of 350 is 175 which is the volume of the prism :)
Answer:
175
Step-by-step explanation:
the formula of triangular prism is
v = 1÷2( b×h×l)
base (b) =5.1cm
height( h) = 6.9
length ( l) = 9.9
v =1÷2 ( 5.1 × 6.9× 9.9 )
v = 174.19 cm^3
so th closest will be 175cm^3
Given g(x) = –2x + 1, find g(-1).
Answer:
g(-1) =3
Step-by-step explanation:
g(x) = –2x + 1,
Let x = -1
g(-1) = –2 *-1 + 1
= 2 +1
= 3
Answer:
3
Step-by-step explanation:
We just have to plug in -1 for x which gives us -2 * (-1) + 1 = 2 + 1 = 3.
2. Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expression for x=7.
Answer:
\(y=5^{x}\\y=5^{7}=78125\)
Step-by-step explanation:
\(y = a^{x}, a=5\\y=5^{x}\\y=5^{0}=1\\y=5^{1}=5\\y=5^{2}=25\\y=5^{3}=125\\and\\y=5^{7} = 78125\)
need help asapppppppppp
Answer:
201.53\(m^{2}\)
Step-by-step explanation:
That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.
Let's first find the hexagonal base.
The formula to find the area of a hexagon is \(\frac{3\sqrt{3}}{2}a^{2}\), where a is the length of one side of the hexagon. In this question, a = 6m
Solve that to find that the area of the hexagon is 93.53m^2.
Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.
6 * 6 = 36
36 / 2 = 18
Hence, the area of one triangle is 18m^2
However, there are six triangles - not just one!
6 * 18 = 108
Adding everything up:
93.53 + 108 = 201.53
The answer is 201.53m^2
the point P(-5, 0) is on the terminal arm of an angle θ.
a) sketch the terminal arm i standard position
b) determine the exact primary trigonometric ratios for θ
c) Determine the related acute angle β
d) determine the measure of θ
the point P(-5, 0) lies on the terminal arm of an angle θ in standard position. The trigonometric ratios for θ are sin(θ) = 0, cos(θ) = -5/5 = -1, and tan(θ) = 0. The related acute angle β is 180° - θ, and the measure of θ is 180°.
a) The terminal arm of an angle θ passes through the point P(-5, 0) in the Cartesian coordinate system. In standard position, the initial arm coincides with the positive x-axis, and the terminal arm rotates counterclockwise from the initial arm.
b) To determine the trigonometric ratios for θ, we can use the coordinates of point P. The x-coordinate is -5, and the y-coordinate is 0. We can calculate the ratios as follows:
The sine of θ is given by sin(θ) = y/r = 0/r = 0.
The cosine of θ is given by cos(θ) = x/r = -5/r.
The tangent of θ is given by tan(θ) = y/x = 0/(-5) = 0.
Here, r represents the radius or distance from the origin to point P, which can be calculated using the Pythagorean theorem as r = sqrt((-5)^2 + 0^2) = 5.
c) The related acute angle β is formed by the terminal arm and the x-axis. Since the terminal arm is on the negative x-axis, β is the angle between the positive x-axis and the terminal arm in the clockwise direction. Therefore, β = 180° - θ.
d) To determine the measure of θ, we can use the angle's reference to the positive x-axis. Since the terminal arm is on the negative x-axis, the angle is greater than 180°. Therefore, θ = 180° + β. Substituting the value of β, we get θ = 180° + (180° - θ), which simplifies to 2θ = 360°, resulting in θ = 180°.
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29. Write iſ as an improper fraction, and multiply the
improper fraction by . What is the product?
I need help on number 30 as well.
Answer: 29 = 5/6
Step-by-step explanation:
first you would convert 1 2/3 into a improper faction. So you would multiply 1 and 3 then add 2 so 5/3 then multiply that by 1/2. You would multiply the numerators and denominators, so 5 times 1 and 3 times 2 which gives you 5/6.
The value 2 approximate location on a number line
The number 2 will be located on the positive side of the number line.
What is a number line?
In mathematics, integers are placed in equal intervals on horizontal straight lines called as number lines. Any number in a series can be represented on a number line. This line's endpoints never come to a finish.
We are given that a number 2 has to be plotted on the number line.
Since, the number is greater than 0 so, it will be located on the positive side of the number line.
The number line has been shown below. The yellow point shows the location of the number 2.
Hence, the number 2 will be located on the positive side of the number line.
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Question: Approximate the location of the number 2 on the number line
of a cylindrical container is 151 cubic centimeters and the height is 3 centimeters. approximate the radius of the container to the nearest whole number.
what is the value of 3/10+27/100
WILL GIVE BRIANLIAT TO BEST ABWWER
The graph of an exponential of the form y = ab contains the points (2, 60) and (4, 960). What are the values of a and b
Answer:
(15/4)4^x
Step-by-step explanation:
Substituting the x and y values of the first point, we get:
y = ab
60 = ab^(2)
Substituting the x and y values of the second point, we get:
y = ab
960 = ab^(4)
Now we can solve for a and b by eliminating one of the variables. One way to do this is to divide the second equation by the first equation:
960/60 = (ab^(4))/(ab^(2))
16 = b^(2)
Taking the square root of both sides, we get:
b = ±4
Since an exponential function can only have positive values for b, we choose b = 4. Now we can solve for a by substituting b = 4 into one of the original equations:
60 = a(4^(2))
60 = 16a
a = 60/16
a = 15/4
Therefore, the values of a and b are a = 15/4 and b = 4, and the exponential function is y = (15/4)4^x.
A cab company charges $2 per cab ride, plus an additional $0.90 per mile driven. Write an equation that shows the relationship between the distance x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
━━━━━━━☆☆━━━━━━━
▹ Answer
$2 + $0.90x =
▹ Step-by-Step Explanation
$2 represents the starting cost and, $0.90x represents the amount paid for each mile driven.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:
a. the lengths of each rope are the same
b. the angles for both sides of the rope are equal
c. she is in equilibrium
The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.
When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.
For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.
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Blake’s Bowling Alley offers a special. Each game costs $2.50 and the shoe rental $2.00. Which equation below matches this situation
Answer:
2x + 2.50
Step-by-step explanation:
A game costs 2.50 to start, which is a constant, The 2x is how many players will be playing.
a fair 6 -sided die is rolled 10 times and the resulting sequence of 10 numbers is recorded. how many different sequences are possible?
There are 60,466,176 different sequences that are possible.
Permutation represents a method of arranging things in order. In a fair 6-sided die rolled 10 times and the resulting sequence of 10 numbers is recorded, the different possible sequences are calculated as shown below:
When rolling a die, the possible outcomes are 1, 2, 3, 4, 5, and 6. As there are ten rolls, each roll has six possible outcomes. Thus, the total number of different sequences will be calculated as follows:6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 = 60,466,176. Therefore, there are 60,466,176 different sequences that are possible.
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Match the expressions to their factored forms. Drag the items on the left to the correct location on the right.
Answer:
(x-6)(x+6) pairs with x^2-36
9x^2-1 pairs with (3x-1)(3x+1)
4(x+2)(x-2) pairs with 4x^2-16
Step-by-step explanation:
wind speeds greater than 261 mph. In an effort to classify a recent tornado, 20 wind speed measurements randomly selected from within the path of the tornado had a sample mean of 265.1 mph with a sample standard deviation of 41.09 mph. Is this enough evidence to conclude the mean wind spee
Based on the available evidence, there is insufficient support to suggest that the mean wind speed is higher than 261 mph. Consequently, we cannot conclude that wind speeds exceeding 261 mph were recorded.
Based on the given information, we can analyze the wind speed data using a hypothesis test. The criteria for a category five hurricane is a wind speed greater than 261 mph. The sample data provided has a mean of 265.1 mph, which exceeds the category five threshold.
The standard deviation of the sample is 41.09 mph, indicating a significant amount of variability within the data. The sample size is twenty, which is relatively small, making it challenging to draw general conclusions.
Since the sample size is less than 30 and the population standard deviation is unknown, we will employ a t-test to conduct the hypothesis test for the mean. The null hypothesis (H0) states that there is no evidence to suggest the wind speed is greater than 261 mph (μ = 261). The alternative hypothesis (Ha) proposes that there is enough evidence to indicate the wind speed is higher than 261 mph (μ > 261).
With a significance level of 0.05, we will use the t-test's critical value method to calculate the p-value and compare it to the significance level. This will help us determine if we should reject or fail to reject the null hypothesis.
Using the t-test formula, the test statistic is computed as follows:
t = (265.1 - 261) / (41.09 / √20) = 1.23
The resulting p-value for this test is 0.232. Since the p-value is greater than the significance level (0.05), we fail to reject the null hypothesis.
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PLEEEEASE ANSWER ASSAP
Subtract and simplify:
812 − 523 = _____
Answer:
Step-by-step explanation: 812 - 523 = 289
what does the convolution method theorem say? when is it
useful?
The convolution method theorem states that convolution in the time domain is equivalent to multiplication in the frequency domain.
The convolution method theorem states that the convolution of two signals in the time domain is equivalent to the multiplication of their Fourier transforms in the frequency domain.
This theorem is useful in signal processing and mathematics as it allows us to analyze and manipulate signals using the simpler operations of multiplication and addition in the frequency domain rather than convolution in the time domain.
By transforming signals into the frequency domain, we can take advantage of the properties of the Fourier transform, such as linearity and the convolution theorem, to simplify and solve complex mathematical operations.
In practical terms, the convolution method theorem finds applications in various areas, including image processing, audio and speech processing, communication systems, and digital signal processing.
It enables us to perform operations like filtering, deconvolution, modulation, and system analysis more efficiently.
By leveraging the convolution method theorem, engineers and scientists can develop algorithms and techniques to enhance and extract meaningful information from signals, leading to advancements in fields such as image recognition, audio compression, and wireless communications.
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answer the question picture is there
Answer:
Step-by-step explanation:
1. 500
2. 10
3. 25000
finding roots from graph whats the answer?
Answer:
x=0, x=2, x=7
Step-by-step explanation:
The roots of graph are points with y = 0
Select an expression that is equivalent to 3(n − 3) + 4. (1 point)
a
3n + 1
b
3n − 5
c
3n + 13
d
3n − 3
Answer:
C. 3n+13
Step-by-step explanation:
When you simplyfy 3(n-3)+4 you get 3n-9 +4, Then you add 4 to 9 since addition comes before subtraction and you would get the answer 3n+13.
what is the probability of rolling an odd number or rolling a 2 on a fair six-sided die? enter the answer as a simplified fraction.
The probability of rolling an odd number or rolling a 2 on a fair six-sided die is the fraction 2/3
What is probabilityThe probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes
A fair six-sided die has faces numbered 1 to 6, and there are only three numbers that are odd numbers, which are 1, 2, and 3.
so;
probability of rolling an odd number = 3/6
probability of rolling a 2 = 1/6
probability of rolling an odd number or a 2 = 3/6 + 1/6
probability of rolling an odd number or a 2 =4/6
probability of rolling an odd number or a 2 = 2/3
In conclusion, 2/3 is the resulting fraction for the probability of rolling an odd number or rolling a 2 on a fair six-sided die.
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Write in slope-intercept form an equation of the line that passes through the given points. (-1, -1) (1, 5)
Step 1: We need to find the slope (or m) FIRST using slope formula*.
\(m = \frac{5 - (-1)}{1 - (-1)}\\\\m = \frac{6}{2} = 3\)
m = 3
Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.
\(5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b\)
b = 2
Step 3: Now we put it all together we get our equation in slope-intercept form**.
\(y = 3x + 2\)
**Slope-intercept form: \(y = mx + b\)
*Slope formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?
A. y ≤ a + b
B. y < –b
C. y ≥ b
D. y ≤ b
The range of the absolute value function g(x) is:
y ≤ b
So the correct option is D.
What is the range of g(x)?
For any absolute value function of the form:
g(x) = a*|x| + b
The value of a defines how the absolute value function opens. if a is negative, the function opens downwards.
Here we know that a < 0.
Then the function will open downwards, and the maximum of the function is what we get when we evaluate in x = 0.
g(0) = a*|0| + b = b
So the range is the set of all values equal to or smaller than b.
The correct option is D: y ≤ b
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3/5(1 + p) = 21/20
find the solution to p
Answer:
3/4
Step-by-step explanation:
3/5(1+p)-21/20
3/5+3/5p=21/20
3/5p=21/20-3/5
3/5p=21/20-12/20
3/5p=9/20
p=9/20÷3/5
p=9/20*5/3
p=45/60
p=3/4
Use the graph that shows the solution to f(x)=g(x).f(x)=x2g(x)=(12)x−1 What is the solution to f(x)=g(x)?
Given the following question:
\(f(x)=g(x)\)x = point of intersection
Given the following graph there is only one point of intersection.
\(x=2\)Your answer is option D.
Answer: x=1
Step-by-step explanation: I took the test
Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
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If S.P. = Rs 450, S.P. with VAT = Rs 495, find vat percent
By using the formulae of VAT Percentage we have required VAT percentage as 10%.
Given is S.P=Rs 450 (Selling Price)
S.P+VAT =Rs 495 (Selling Price+ Value added Tax)
Now we have to find Amount of VAT that is how much value added tax is imposed in the selling price.
To find out Amount of VAT we have to take Selling Price (S.P) and subtract it from Selling Price with VAT.
Amount of VAT = (S.P + VAT )- S.P
= Rs 495 - Rs 450
= Rs 45
VAT Percent = Amount of VAT /Selling Price x 100
Percentage of VAT = \(\frac{45}{450} .100\)
= 10 %
So VAT percentage is 10%.
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