write an indirect proof in paragraph form. given: triangle rvt and svt are equilateral. triangle rvs is not equilateral
Answers
The indirect proof that defines triangle RVS is not equilateral is explained below.
How triangle look like?
In math, A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices and also a polygon.
Here we need to find the indirect proof for the triangle RVS which is not equilateral.
Here we know that, We need to write an indirect proof in paragraph proof.
For, the given statement, △RVT and SVT are equilateral;
And △RVS is not equilateral.
Then the explanation for this one is written as,
Let us assume temporarily that △RST is equilateral.
And we have given that △RVT and SVT are equilateral, then the sides of △RVT, SVT, and RST are congruent.
Therefore, RV≅VSRS which follows that △RVS is equilateral.
In contradicts the given that △RVS is not equilateral, then the temporary assumption must be false. It follows that △RST is not equilateral.
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Related Questions
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Answers
Answer:
A
Step-by-step explanation:
please give me brainliest
when the t-statistic for a parameter estimate is large in absolute value, you can be confident that the true parameter is not
Answers
The parameter estimate's t-statistic calculates the discrepancy between the estimate and the actual parameter. If the absolute value is high, the true parameter is probably very different from the estimate.
The parameter estimate's t-statistic calculates the discrepancy between the estimate and the actual parameter. It is derived by multiplying the discrepancy between the two by the estimate's standard error. The true parameter is probably far from the estimate, according to a large absolute value of the t-statistic. As a result, one cannot have confidence in the estimate because it is not a trustworthy representation of the real parameter. This is because a significant t-statistic indicates that the estimate is likely to be inaccurately estimating the true parameter and is either too high or too low. As a result, it is obvious that the true parameter is unlikely to be represented by the estimate when the t-statistic for a parameter estimate has a high absolute value.
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The complete question is
when the t-statistic for a parameter estimate is large in absolute value, you can be confident that the true parameter is not .How do you interpret a large t-statistic in a parameter estimate?
Genesis is older than Dylan. Their ages are consecutive integers. Find Genesis's age if
the product of their ages is 110.
(ill give brainliest )
Answers
Answer:
Dylan is 10 years old, and Genesis is 11.
Step-by-step explanation:
If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:
Dylan's age: x
Genesis' age: x+1
This would mean Genesis is a year older than Dylan.
The product of their ages is 110.
We can write an equation:
x×(x+1)=110
x²+x=110 (Distribute x)
x²+x-110=0 (Move 110 to the other side)
You can solve this by the quadratic equation, by factoring or by completing the square
I'll solve it by the quadratic equation:
We must first find the coefficients a, b and c, and then plug it into the formula.
\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)
Since we have a ± symbol, we get 2 real solutions, x1 and x2.
x=-1±21/2
x1=-1+21/2
x1=20/2
x1=10
x2=-1-21/2
x2=-22/2
x2=-11
Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.
Hope this helps, and let me know if you need help with another method to solve this problem!
what does the word "baking" means and of which language,this word belongs to?
Answers
Answer:to cook something to a certain degree and it belongs to English which derives from the old english version “bacan”
Step-by-step explanation:
How many different sums of money can be made from 4coins of different denomination
Answers
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsA construction company can remove 3/4 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site?
Answers
Answer:
32 hours
Step-by-step explanation:
Given
\(Rate= \frac{3}{4}\ tons\ per\ hour\)
Required
Determine time taken for 24 tons
As used in this question, Rate is the ratio of tons of dirt to time.
i.e.
\(Rate = \frac{Tons\ of\ Dirt}{Time}\)
Let t represents time when tons of dirt is 24 tons:
\(Rate = \frac{24}{t}\)
Recall that: \(Rate= \frac{3}{4}\ tons\ per\ hour\)
So, we have
\(\frac{24}{t} = \frac{3}{4}\)
Cross Multiply
\(3 * t = 24 * 4\)
Divide both sides by 3
\(t = 8 * 4\)
\(t = 32\)
Hence, time taken is 32 hours
I’m timed please help
Answers
if 8 is divided into pieces that are each 1/2 of a whole, how many pieces are there?
Answers
There are 16 pieces of 1/2 of a whole
How to determine how many pieces are there?
Numeric simplification is the process of reducing a number or expression to its simplest form.
If 8 is divided into pieces that are each 1/2 of a whole, there would be 16 pieces.
Mathematically, this can be written as:
8 / (1/2) = 18 × (2/1) = 16
Therefore, the pieces that are each 1/2 of a whole would result in 16 pieces.
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A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third
side is 13 feet more than the length of the shortest side. Find the dimensions if the perimeter is 157 feet.
Answers
Answer:
The triangle has sides of 36 feet, 72 feet, and 49 feet.
=====================================================
x = shortest side
2x = second side
x+13 = third side
The three sides add up to the perimeter of 157
(x)+(2x)+(x+13) = 157
4x+13 = 157
4x = 157-13
4x = 144
x = 144/4
x = 36
The shortest side is 36 feet.
The second side is 2x = 2*36 = 72 feet.
The third side is x+13 = 36+13 = 49 feet.
Check:
side1+side2+side3 = 36+72+49 = 157
The answers are confirmed.
What is the slope (round your answer to one decimal place)?
Answers
Difference quotient formula
\(\frac{f(x+h)-f(x)}{h}\)To find the estimation of the slope of f(x) at x = 7, we can use the difference quotient. Substituting with the function f(x) provided, h = 0.001, and x = 7, we get:
\(\begin{gathered} f\mleft(x\mright)=9.2x^2-6.4x \\ f(7)=9.2\cdot7^2-6.4\cdot7=406 \\ f\mleft(x+h\mright)=9.2\mleft(x+h\mright)^2-6.4\mleft(x+h\mright) \\ f(7+0.001)=9.2(7.001)^2-6.4(7.001)=406.1224 \\ m=\frac{f(7+0.001)-f(7)}{0.001} \\ m=\frac{406.1224-406}{0.001} \\ m\approx122.4 \end{gathered}\)Equation of the tangent line
\(y-y_1=m(x-x_1)\)The tangent line is tangent to the point (x₁, y₁) which also passes through f(x). And m is the slope of the tangent line.
Given that f(7) = 406, then the tangent point is (7, 406). Using this point and m = 122.4, we get:
\(\begin{gathered} y-406=122.4(x-7) \\ y-406=122.4x-122.4(7) \\ y-406=122.4x-856.8 \\ y=122.4x-856.8+406 \\ y=122.4x-450.8\text{ (which is in the mx + b format)} \end{gathered}\)f(x)+x^2-3x-2x is shifted 4 units left. The result is g(x). What is g(x)
Answers
Answer:
g(x) = x² + 5x + 2
Step-by-step explanation:
If a function is f(x) = x²
And this function is shifted 4 units left then the rule to be followed is,
g(x) = f(x + 4)
Following the same rule,
For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,
g(x) = f(x + 4)
g(x) = (x + 4)² - 3(x + 4) - 2
= x² + 8x + 16 - 3x - 12 - 2
= x² + 5x + 2
Therefore, g(x) = x² + 5x + 2 will be the transformed function.
-x+3y=11 pls sove by elimation and step by step
Answers
Answer:
Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.
Step-by-step explanation:
The given equation is:
-x + 3y = 11
To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.
Let's suppose we have another equation with x, for example:
2x + 5y = 7
We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:
-2x + 6y = 22 (multiply the first equation by -2)
2x + 5y = 7 (the second equation)
Now we can add the two equations to eliminate x:
-2x + 2x + 6y + 5y = 22 + 7
Simplifying the equation, we get:
11y = 29
Dividing both sides by 11, we get:
y = 29/11
Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:
-x + 3y = 11
Substituting y = 29/11, we get:
-x + 3(29/11) = 11
Simplifying the equation, we get:
-x + 87/11 = 11
Subtracting 87/11 from both sides, we get:
-x = 11 - 87/11
Multiplying both sides by -1, we get:
x = 87/11 - 11
Simplifying the equation, we get:
x = (87 - 121)/11
x = -34/11
i had 6 cupcakes two days ago, and 9 yesterday. help me continue this pattern. thank you.
Answers
Answer:
its adding 3
Step-by-step explanation:
So if you had 6 cupcake two days ago, than yesterday there was 9, so tomorrow you should have 12 cupcake and so on
The requried pattern of cupcakes is given by adding 3 cupcakes each day and the pattern comes out as 6, 9, 12, 15, 18, 21, and so on for the subsequent day.
What is a sequence?The sequence is a pattern of placing the values in a specified manner.
Here,
Assuming that the pattern is to add 3 cupcakes each day, the continuation of the pattern would be:
Two days ago: 6 cupcakes
Yesterday: 9 cupcakes
Today: 12 cupcakes
Tomorrow: 15 cupcakes
Day after tomorrow: 18 cupcakes
In five days: 21 cupcakes
And so on, the pattern would continue adding 3 cupcakes for each subsequent day.
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The given quesiton is incomplete, the complete question s given below,
I had 6 cupcakes two days ago, and 9 yesterday. Assume it to be series. What will be the number of cupcakes that I will have two days from today??
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Answers
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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What is the answer to this question?
Answers
Answer: A IS THE ANSWER
Step-by-step explanation: BRAINLIEST PLSSS
Maitri and Aabhas do a work in 12 hours.
Aabhas and Kavya do the work in 15 hours.
Kavya and Maitri do
work in 20 hours.
In how many hours will they finish it together and separately?
Pls help me
Answers
Answer:
See below ~
Step-by-step explanation:
Given
Maitri and Aabhas do a work in 12 hoursAabhas and Kavya do the work in 15 hoursKavya and Maitri do the work in 20 hoursSolving
Take Maitri, Aabhas, and Kavya to be x, y, z respectivelyx + y = 12 (1)y + z = 15 (2)x + z = 20 (3)Take Equation 1 and rewrite it so that it is equal to x.
x = 12 - yTake Equation 2 and rewrite it so that it is equal to z.
z = 15 - yNow, substitute these values in Equation 3.
x + z = 2012 - y + 15 - y = 20-2y + 27 = 202y = 7y = 7/2 = 3.5 hours [Aabhas]Substitute the value of y in Equation 1.
x + 3.5 = 12x = 8.5 hours [Maitri]Substitute the value of y in Equation 2.
3.5 + z = 15z = 11.5 hours [Kavya]Add the values of x, y, and z together.
x + y + z8.5 + 3.5 + 11.512 + 11.523.5 hours [together]prove that there exist only five regular polyhedron
Answers
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.
Proving there exist Five Regular PolyhedronThe five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.
The five regular polyhedra are:
1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.
2. Cube: It has six square faces, and three squares meet at each vertex.
3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.
4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.
5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:
"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".
For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:
V - E + F = 2
=> kV/2 - kE/2 + F = 2
=> k(V/2 - E/2) + F = 2
Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:
k(V/2 - (nF)/2) + F = 2
=> (kV - knF + 2F)/2 = 2
=> kV - knF + 2F = 4
Now, we need to consider the conditions for a valid polyhedron:
1. The number of faces (F), edges (E), and vertices (V) must be positive integers.
2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.
Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:
(n, k) pairs:
(3, 3) - Tetrahedron
(4, 3) - Cube
(3, 4) - Octahedron
(5, 3) - Dodecahedron
(3, 5) - Icosahedron
Therefore, there exist only five regular polyhedra.
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Proportional relationships escape room. Puzzle 1. Help please :(
Answers
Answer:
Step-by-step explanation:
it is d
3. A team of sociologists studied the leisure activities of 75 adults in a large region.
In the study, they found that the mean time these adults watched television was 4.8 hours per day, with a standard deviation of 2.1 hours per day.
A. Construct a 95% confidence interval for the mean number of hours per day of
TV for the adult population in this region.
b. State the meaning of the interval in the context of the problem.
50 points
Answers
B. This is the correct answer because the given information in option A doesnt make sense, considering that the percentage in 95%, making the correct answer B
Please helpppppppppppp
Answers
Hope I helped you
Answer:
15 cm
Step-by-step explanation:
add 7 then 3 and 5
Formula for finding perimeter of a triangle
Answers
Answer:
you can find perimeter of a triangle by finding it perimete by a scale D
Answer:
( AB+BC+CA)= parameter of a triangle
Are these in the same FACT FAMILY??
4 + 5 = 9
9 - 5 = 4
Answers
Answer:
yes cause they are the same #s
Step-by-step explanation:
Step-by-step explanation:
I think yes I am not sure
sorry I took your points
4 3/8 + 5 1/2= in fractions
Answers
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
Random sample of 80 students from 340 seniors. 12 are vegetarians. Based on this data, whatis Mary's best estimate of the total number of seniors at the college who are vegetarians?
Answers
vegetarians80 out of 340 students were interviewed and 12 are found to be vegetarian.
So the fraction is
\(\frac{12}{80}=\frac{3}{20}\)The best estimate of the total number of vegetarian people is,
\(\frac{3}{20}\times340=51\)So, 51 students are vegatarians.
tyrone saved $24of the $60 he earened mowing lawns. what ercent of his earnings did he save
Answers
To find out the percentage of Tyrone's earnings that he saved, we need to divide the amount he saved by his total earnings and then multiply by 100 to convert the result into a percentage.
The amount that Tyrone saved is $24, and his total earnings are $60.
So,
Percentage of earnings saved = (Amount saved / Total earnings) x 100
= ($24 / $60) x 100
= 0.4 x 100
= 40%
Therefore, Tyrone saved 40% of his earnings by putting aside $24 from the $60 he earned mowing lawns.
Answer:
40%
Step-by-step explanation:
We Know
Tyrone saved $24 of the $60 he earned mowing lawns.
What percent of his earnings did he save?
We Take
(24 ÷ 60) x 100 = 40%
So, he saved 40% of his earning.
In this figure, h = 3, and r = 4.
What is the exact surface area of the cone?
Enter your answer in the box.
units²
Answers
The exact surface area of the cone is 113.097 units².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Base of a cone is circle.
Base area = π r²
= π (4)² = 16π
Lateral surface area = π r √(h² + r²)
= 4π √(3² + 4²)
= 4π √25
= 4π × 5
= 20π
Total surface area = 16π + 20π
= 36π
= 113.097 units²
Hence the total surface area of the given cone is 113.097 units².
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Determine the monthly principal and interest payment for a 15 -year mortgage when the amount financed is $85,000 and the annual percentage rate (APR) is %.7.0
Answers
Monthly Mortgage Payment is $495.88
Mortgage is a long-term amortized loan where loan is provided to buy certain capital asset and pay back total sum due in small periodic annuities. In Mortgage title of asset lies with lender and passes to borrower after complete mortgage payment.
Hence,
Mortgage Amount is $77,000
Monthly Payment for each $1,000 is $6.44
Monthly Mortgage Payment is $495.88
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Please help! Provide an answer with an explanation to my question & you will receive a 100 points for one question! :)
Answers
Answer:
B
Step-by-step explanation:
Standard deviation is the average distance away from the mean, thus B is correct
how do I simplify 2y > 4
Answers
Answer and Step-by-step explanation:
Divide both sides by 2 to get y.
2y > 4
y > 2
y > 2 is the answer.
#teamtrees #PAW (Plant And Water)
PLEASE HELP! Match the steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12.
Answers
Answer:
3,2,1,6,5,4
Step-by-step explanation:
Hope this helps!!!
All the correct steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12 are,
1. 2p + (- 8) = - 12 Find p
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
Given that,
In a parabola,
Focus = (-1 , - 8)
And, Directrix =; y = - 12
The standard equation of a parabola is,
\(y = - p (x - h)^2 + k\)
Where, (h, k) is the vertex of the parabola.
Now, the Statement with reason to find the equation of a parabola is,
Statement Reason
1. 2p + (- 8) = - 12 Find p
p = - 2
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
y = - 10
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
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