If E is between D and F, then DE = DF - EF.
If BD divides ABC into two angles, ABD and DBC, then mABC = mABC mDBC.
1. Given: E is between D and F
Prove: DE = DF - EF.
Since ,E is between D and F Given
D, E, and F are collinear points, and E is on ¯DF Definition of between
Statements Reasons
DE + EF = DF Segment Addition Postulate DE = DF EF Subtraction property of equality2.If BD divides ABC into two angles, ABD and DBC, then mABC = mABC - mDBC.
Given: BD divides ABC into two angles, ABD and DBC
Prove: mABD = mABC - mDBC.
Statements Reasons
mABD + mDBC = mABC Angle Addition Postulate mABD = mABC - mDBC Subtraction property of equalityLearn more about Geometry at:
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a group of fish is called a school . there are twenty-five in the small school.there are one hundered twelve fish in the big school. how many fewer fish are in the small school
There are 87 fewer fish in small school compared to big school.
We solve addition and subtraction problems by focusing on either the action (joining or separating) or the relationship in the problem. Many problems involve monetary relationships.
This week, we looked at COMPARISON problems, which involve determining the similarities and differences between sets.
Difference Unknown: One type of compare problem entails determining how many more items are in one set than another. James, for example, has six mice. Joy has eleven mice. Joy has how many more mice than James?
Given,
Number of fish in small school = 25
Number of fish in big school = 112
then,
Number of fewer fish does small school have 112 -25 = 87
Thus, there are 87 fewer fish in school than big school.
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Kaden earns h dollars per hour working for a landscaper. He works 14 hours per week. He writes the expression 14 x h x 52 to represent how much money he earns in a year. Kaden's boss writes the expression 728h. Which person's expression tells you how many hours Kaden works per year? Explain your reasoning
Kaden's expression tells you how many hours Kaden works per year
How to determine which person's expression tells you how many hours Kaden works per year?Given: Kaden earns h dollars per hour working for a landscaper. He works 14 hours per week.
Kaden expression:
14 x h x 52
The 14 in this expression tells you how many hours Karen works per year. The 52 shows the number of weeks in a year
Kaden's boss expression:
728h
This does not tells how many hours Kaden works per year
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at the tesla automotive factory, a model s sedan is built using 4 tires, a main chassis, and 5 lithium-ion batteries. how many sedans can be made if there are 17 tires, 5 chassis, and 22 batteries?
The number of cars which can be made by using 4 tires, a main chassis, and 5 lithium-ion batteries are 4.
Using hit and trial method :
→ assuming tires as limiting substance
4 tires → 1 car
17 tires → 17/4 ×1 car
= 4.25 cars {reducing it to greatest integer value}
→ Assuming chassis as limiting theorem:
1 chassis → 1 car
5 chassis → 5 cars
→ Assuming batteries as limiting theorem substance:
5 batteries → 1 car
22 batteries → 22/5 × 1 car
= 4.4 → 4 cars
Therefore, 4 cars can be made by the given substance.
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If you start with 1 and repeatedly multiply by 1/2, will you reach 0? Explain why or why not.
Answer:
nope
Step-by-step explanation:
1 multiplied by 1/2 just equals 1/2 since it's being multiplied by one, it wouldn't matter if you kept multiplying 1/2 either because the numerator will stay the same regardless, and the denominator just gets bigger and bigger since you're multiplying by two. if the numerator wasn't 1 then I'm sure there's a possibility, but in this scenario, it's not.
Answer: You will reach 0
Step-by-step explanation:
Yes, if you start with 1 and repeatedly multiply by 1/2, you will reach 0.
To see why this is the case, let's consider the following sequence of numbers:
1 * (1/2) = 0.5
0.5 * (1/2) = 0.25
0.25 * (1/2) = 0.125
0.125 * (1/2) = 0.0625
0.0625 * (1/2) = 0.03125
As you can see, each time we multiply by 1/2, the result is half of the previous number. Because any number multiplied by 0 is 0, we will eventually reach 0 if we keep multiplying by 1/2.
Therefore, if you start with 1 and repeatedly multiply by 1/2, you will reach 0.
How do you calculate x value?
Answer: To calculate x in an equation, you can first look at the other numbers that aren't missing any values [say 2x + 60x = 248]. To find the value of x, bring the variable(s) to the left and bring all the remaining numbers to the right (I'm trying to explain this in a simple way)
Step-by-step explanation: math
Find cos (A) given the triangle
[tex]\cos A=\frac{21}{75}[/tex] since cosine is (adjacent)/(hypotenuse).
help help help help help help help
Answer: the data suggests that playing video games has a negative effect on academics. I think this because the more time spent playing video games the less time spent doing homework
What does a scale factor less than 1 do to the image?
Answer:
Makes it smaller
Step-by-step explanation:
A scale factor less than 1 makes the image smaller than the preimage.
A scale factor of 1 makes the image the same size as the preimage.
A scale factor greater than 1 makes the image larger than the preimage.
For Daniela’s bicycle business the ne profit (in dollars) for renting b bicycles is: P(b)=25b+7. If Daniela rents 6 bicycles, what is her profit
By using the concept of profit, it can be calculated that-, Profit for renting 6 bicycles = $157
What is profit?
Profit is a financial gain earned when the revenue from a business activity exceeds the expenses associated with it. This gain is usually measured in monetary terms, but it could also be measured in terms of goods or services. Profit is the main reason why businesses exist and it can be used to reinvest in the business, pay shareholders, purchase new assets, or do other things. Profit is the lifeblood of any business and it is essential for sustaining and growing its operations.
For Daniela’s bicycle business the net profit (in dollars) for renting b bicycles is: P(b)=25b+7.
Number of bicycles Daniela rented = 6
So Profit for renting 6 bicycles = $([tex]25 \times 6 + 7[/tex]) = $157
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Solve the following system of equations graphically after graphing be sure to label each line with its equation
Answer:
Step-by-step explanation:
A system of equation can be solved in several ways, which includes the use of graphs
The solution to the system of linear equations is (3,2)
The system of equations is given as:
See attachment for the graphs of and .
From the attachment, the point of intersection of the lines of both equations is (3,2)
Hence, the solution to the system of linear equations is (3,2)
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Ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.
Answer:
The answer should be $31.99
A llama weighing 200kg needs to be transported on a stretcher, The upward acceleration on the stretcher is 0.63m/s². What net force is needed to accelerate the llama on the stretcher?
The net force is 126 kg m/s² needed to accelerate the llama on the stretcher.
To determine the net force needed to accelerate a llama weighing 200 kg on a stretcher with an upward acceleration of 0.63 m/s², we can use the formula F = ma, where F is the net force, m is the mass of the llama, and a is the upward acceleration of the stretcher.
As per the question, the mass of the llama is 200 kg and the upward acceleration of the stretcher is 0.63 m/s²,
So, the net force needed to accelerate the llama is:
F = 200 kg × 0.63 m/s²
F = 126 kg m/s².
Thus, the net force is 126 kg m/s² needed to accelerate the llama on the stretcher.
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Which are necessary conditions to apply the sas triangle congruence theorem? select all that apply.
Answer:
For two triangles to be congruent, SAS theorem requires two sides and the included angle of the first triangle to be congruent to the corresponding two sides and included angle of the second triangle. If the congruent angles are not between the corresponding congruent sides, then such triangles could be different.
hope that helps
Step-by-step explanation:
i need help please answer correctly
6. Applying the inscribed angle theorem, x = 33
7. m<ABP = 90°.
m<APB = 48°
What is the Tangent Theorem?The tangent theorem states that the tangent of a circle is perpendicular to the radius of that circle and therefore forms a right angle at the point of tangency.
What is the Inscribed Angle Theorem?An inscribed angle has a measure that is half the measure of the intercepted arc, according to the inscribed angle theorem.
Therefore:
Question 6:
Based on the inscribed angle theorem,
Measure of arc AB = 2(x + 3) = 2x + 6
108 + 2x + 6 = 180 [semicircle]
Solve for x
114 + 2x = 180
2x = 180 - 114
2x = 66
x = 33
Question 7:
Given that line PB is tangent to circle A, therefore, based on the tangent theorem, the measure of angle ABP = 90°.
m<APB = 180 - 90 - 42
m<APB = 48°
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100 POINTS HELP PLEASE Which of the following is a benefit of increased competition?
A. They access the same suppliers.
B. They attempt to win over your customers.
C. They make you improve your product quality.
PLSSSS HELP ASAPPP
Andrew has 34 coins in his pocket. His coins total $2.65. If he has dimes and nickels in his pocket, how many dimes does he have?
Las coordenadas del punto (-2, 3) despues de una reflexion sobre el eje y son:
Responden: Original Answer Language (Spanish)
Las coordenadas del punto (-2, 3) después de una reflexión en el eje y son: (2,3). Se explica en la imagen.
Answer: Traducir el idioma de la respuesta (inglés)
The coordinates of the point (-2, 3) after a reflection on the y-axis are: (2,3). It is explained in the image.
Leah can make one dozen cookies every hour. How many cookies can she make in a four hour period of time?
Answer:
42
Step-by-step explanation:
1 dozen equals 12 so 12 x 4 would be 42
What does 1.022 represent in the expression?
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:
[tex]GDP = 11(1.0220)^{t}[/tex]
We can also see that the exponential model formula given by: governs this formula.
[tex]GDP = 11(1.0220)^{t[/tex]
Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.
The value of b in this instance is provided by:
b = 1.022
And when we calculated r as the growth rate, we obtained:
1.022 = 1 + r
r = 1.022 - 1
r = 0.022
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
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can someone pls help me with exercise 7 in algebra
Answer: Ok so the slope is always going to be m and the y intercept will be the b.
Step-by-step explanation: For example the slope form in y=mx+b. Whatever is in that b spot is going to be the y-intercept. So for number one on exercise 7 the slope will be 2/3 and the y- intercept will be -4. Same for number 2 remember take your time and know that m is the slope and b is your y-intercept. I really hope this helps you.
at the 0.01 significance level, do women save more money than men? what is the value of the test statistic for this hypothesis test?
Both means are approximately equal at 1% level of significance.
What is significance level?
A finding has statistical significance in statistical hypothesis testing when it is highly unlikely to have happened given the null hypothesis.
H0: Mean of mean = mean of women
Ha: means of men < mean of women
(Left tailed test)
Since population std deviation is known but sample sizes are small t test is used.
The mean of Men minus Women equals -5.00
standard error of difference = 2.201
t = 2.2721
df = 53
p value= 0.0136
since p >0.01 at 1% significance level we fail to reject H0.
Both means are approximately equal at 1% level of significance.
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How do you solve 4 linear equations?
Steps to solve linear equations;
Clear fractions or decimals. Remove parentheses from each side of the equation and combine similar phrases to make it simpler. Remove the variable term from the equation's other side. Divide each side of the equation to find the solution. Check your solution.Given,
Linear equations;
Ax + By = C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x + 3y = 5. When an equation is given in this format, finding both intercepts is rather simple (x and y).
Here,
The steps to solve linear equations are;
Clear fractions or decimals. Remove parentheses from each side of the equation and combine similar phrases to make it simpler. Remove the variable term from the equation's other side. Divide each side of the equation to find the solution. Check your solution.Learn more about linear equations here;
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How do you dilate an image?
To dilate an image , multiple the scale factor with the coordinates
The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.
The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted.
Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.
Follow the steps below to dilate an image.
Step 1: Determine the scale factor and the dilation centre.
Step 2: Identify an image vertex. Draw a line through one of the image's vertices from the centre of dilation.
Step 3: Determine the horizontal and vertical distances between the dilation centre and the vertex.
To find the horizontal and vertical distances from the centre of dilation to a new vertex, multiply the distances by the scale factor.
Step 4: Determine the new horizontal and vertical distances from the centre of dilation. Make a point plot.
Step 5: Join the new vertices together to create the dilated image.
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A school has 1 teacher
for every 24 kids.
How many teachers for 72 kids?
Answer:
There should be around three teachers.
Step-by-step explanation:
72/24 = 3
or
24 x 3 =72
Another way you could do it is three circles put one dot in each circle until you reach 72.
Hope this helped
the situation in which the value of the solution may be made infinitely large in a maximization linear programming problem or infinitely small in a minimization problem without violating any of the constraints is known as
The situation in which the value of the solution may be made infinitely large in a maximisation linear programming problem or infinitely small in a minimisation problem without violating any of the constraints is known as an unbounded solution
What is Linear Programming?
When a linear function is exposed to various constraints, it is maximised or reduced using the mathematical modelling technique known as linear programming.
Let's briefly define some situations
Infiniteness and semi-optimality, does not comply with what the situation exposes.
If there isn't a solution that satisfies all the requirements, the problem is said to be infeasible. As a result, this choice is not.
If the objective function can be improved indefinitely without going against the constraints and limits, then the problem is unbounded, and this is the right response.
The situation in which the value of the solution may be made infinitely large in a maximisation linear programming problem is known as an unbounded solution
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What is the max value of e?
The maximum value of e is equal to 2.718.
e
The number e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828 that can be characterized in many ways. It is the base of the natural logarithms. It is the limit of (1 + 1/n)n as n approaches infinity, an expression that arises in the study of compound interest. It can also be calculated as the sum of the infinite series.
The number e itself also has applications in probability theory, in a way that is not obviously related to exponential growth
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The diameter of the circle is 18 m. Eugene incorrectly says that the circumference of the circle is about
113.04 m. What is the circumference of the circle? What mistake did Eugene make?
Answer: 3.14
Step-by-step explanation:
1. go home
2. sleep
3. poop
4. eat
College administrators at a small, private college noticed that students who had higher high school gpas tend to have higher college gpas. What are the explanatory variable and response variable for this relationship?.
The explanatory variables and response variables for this relationship are;
b. Explanatory variable: high school GPA
Response variable: college GPA
What are explanatory variables?
When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.
Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.
Numerous variables, referred to as explanatory variables, might have an impact on the response variable.
Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.
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Complete question:
College administrators at a small, private college
noticed that students who had higher high school
GPAs tend to have higher college GPAs.
What are the explanatory variable and response
variable for this
relationship?
Explanatory variable: size of college
Response variable: college GPA
Explanatory variable: high school GPA
Response variable: college GPA
Explanatory variable: college GPA
Response variable: high school GPA
Explanatory variable: type of college (public)
Response variable: college GPA
11. Which expression is equivalent to
-5.2v + (-2.8) + 1.1 + (-2.6v)?
A-9.5v
B-3.9v
-7.8v 1.7
-
D-7.8v+3.9
Answer:
C. −7.8v −1.7
Step-by-step explanation:
add like terms
-5.2v + (-2.6v) = −7.8v
(-2.8) + 1.1 = -1.7
Answer:
C ) −8v−1.7
Step-by-step explanation:
1 ) − 5.2v − 2.8 + 1.1 −2.6v
2) = − 5.2v + −2.8 + 1.1 + − 2.6v
Combine Like Terms:
3 ) = − 5.2v + − 2.8 + 1.1 + − 2.6v
4 ) = ( − 5.2v + − 2.6v ) + ( −2.8 + 1.1 )
5 ) = − 7.8v + − 1.7
Hope this helps! :)
suppose a 90% confidence interval for the population mean resulted in an upper limit of $658 and a lower limit of $273. what is the correct interpretation of this confidence interval? question 5 options: 1) we are 90% confident the population mean is in this interval. 2) there is a .90 probability the population mean is in this interval. 3) we are 90% confident the population proportion is in this interval. 4) there is a .90 probability the sample mean is in this interval.
The correct interpretation of this confidence interval is that "we are 90% confident the population mean is in this interval." This means that if we were to repeat the sampling process many times, we would expect that 90% of the resulting confidence intervals would contain the true population mean.