Which is not the method that can be used to show congruency of two triangles?.
Answers
The method that cannot be used to show congruency of two triangles is the method of "angle-angle-angle" (AAA).
The AAA method states that if the corresponding angles of two triangles are congruent, then the triangles themselves are congruent. However, this method is not valid for proving congruency because it does not take into account the lengths of the sides of the triangles.
To prove congruency, we typically use one of the following valid methods:
Side-Side-Side (SSS): If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.
Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Side-Angle-Angle (SAA): If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are not necessarily congruent. This method alone is not sufficient to prove congruency.
Therefore, the method that cannot be used to show congruency of two triangles is the Angle-Angle-Angle (AAA) method.
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Related Questions
Determine algebraically whether the given function is even, odd, or neither. f(x) = -9x3 O Even O Odd O Neither
Answers
The function f(x) = -9x^3 is odd because it is not at the initial state after replacing x by -x.
By taking a function, replacing each x with an equal value, simplifying it, and then comparing the outcomes to what you had initially, you can "determine algebraically" whether it is even, odd, or neither.
If the function is identical to what you started with that is, if f(-x) = f (x), with all the signs remaining the same then the function is even. If the function is exactly the opposite of what you started with (i.e., if f(-x) = -f(x), with all the signs switched this is known as an odd function.
The function is f(x) = -9x^3
Now substitute -x in place of x.
f(-x) = -9(-x)^3
f(-x) = -9 × -(x)^3
f(-x) = 9x^3
As we can see that the function is not in the initial position so the function is odd.
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The elevation of an airplane changes by-420 feet in 12 seconds. What is the change in the airplane's elevation each second?
Answers
Answer:
-35 feet each second
Step-by-step explanation:
Divide -420 by 12:
-420/12
= -35
So, the change in the plane' elevation is -35 feet each second
Answer:
-35 feet per second
-420/12 = -35
To get from one term to the next in a sequence, we multiply by 2 and then
add 4.
The third term in the sequence is 48.
What is the first term in the sequence?
Answers
Answer: the first term in the sequence is 9.
Step-by-step explanation:
Let the primary term be x.
At that point the moment term is 2x + 4.
And the third term is 2(2x + 4) + 4 = 4x + 12.
Since the third term is given as 48, we will set up an condition and unravel for x:
4x + 12 = 48
4x = 36
x = 9
Please help it’s due in an hour
Answers
Urgent help needed please
Answers
Answer:
x = 8\(\sqrt{5}\)
Step-by-step explanation:
Using the Altitude- on - Hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse )
x² = 16 × (16 + 4) = 16 × 20 = 320 ( take square root of both sides )
x = \(\sqrt{320}\) = \(\sqrt{64(5)}\) = 8\(\sqrt{5}\)
Use spherical coordinates.
Evaluate ∭E^xe^(x2+y2+z2) dV∭, where E id the portion of the unit ball x2+y2+z2≤1that lies in the first octant.
Answers
The value of the triple integral is 1/16(e-1)π.
The region of integration E is defined by the inequalities 0 ≤ r ≤ 1, 0 ≤ θ ≤ π/2, and 0 ≤ φ ≤ π/2. The integrand is f(r, θ, φ) = r^2e^(r^2). Thus, we have:
∭E^xe^(x2+y2+z2) dV = ∫₀¹∫₀^(π/2)∫₀^(π/2) f(r, θ, φ) r^2 sin φ dφ dθ dr
= ∫₀¹∫₀^(π/2)∫₀^(π/2) r^4e^(r^2) sin φ dφ dθ dr
= ∫₀¹∫₀^(π/2) (-e^(r^2))(cos φ)|₀^(π/2) dθ dr [using u-substitution with u = r^2]
= ∫₀¹∫₀^(π/2) (e^(r^2))(sin φ) dφ dθ dr
= ∫₀¹(1-e^(-r^2))dθ dr
= π/2 - ∫₀¹e^(-r^2)dθ
= π/2 - [(1/2)π/2(1-e^(-1))]
= 1/16(e-1)π.
Therefore, the value of the triple integral is 1/16(e-1)π.
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Simplify the expression below as much as possible.
(7-6i) + (-1 + 4i) -(4-7i)
A. 10 + 5i
B. 2 - 9i
C. 10-9i
D. 2 +5i
Answers
Your parents took your family out to dinner . Your parents want to give you the server a 15% tip . If the total amount of the dinner was $42.00 , what will be the amount of the tip ?
Answers
Answer:
The tip will be $6.30
The teacher has listed 30 books as book report options. You must read 5. How many different sets of 5 books could you have chosen to read? (Stats question)
Answers
Answer:You can choose 6 different sets of 5 books to read.
Step-by-step explanation:All you need to do is do 30 divided by 5 and you get 6
Im pretty sure its permutation
30~5=6
List five vectors in Span {v_1, v_2}. Do not make a sketch. v_1 = [8 2 -7], v_2 = [-6 4 0] List five vectors in Span {v_1, v_2} (Use the matrix template in the math palette. Use a comma to separate vectors as needed. Type an integer or a simplified fraction for each vector element.)
Answers
The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})
List five vectors in Span {v_1, v_2}?
1) V1+v2={8,2,-7 }+{-6,4,0 }
={2,6,-7}
2) 2v1+v2={16,4,-14}+{-6,4,0}
={10,8,-14}
3)2v1+2v2={16,4,-14}+{-12,8,0}
={4,12,-14}
4)V1-v2={8,2,-7}-{-6,4,0}
={14,-2,-7}
5)2v1-v2={16,4,-14}-{-6,4,0}
={22,0,-14}
All of these vectors are contained within the span.
{v1,v2}={av1+bv2:ab∈r}
A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram has 20 pens and 7 pencils,
Rohan has 15 pens and 5 pencils,
Yash has 12 pens and 3 pencils
Now, this could be arranged in tabular form as follows,
⎢20 7⎢
⎢15 5⎢
⎢12 3⎢
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What is the probability of the spinner landing on a vowel?
Answers
Answer:
What is the probability of getting a vowel (a success) for the spinner shown?
1/3
Suppose you spin the spinner 5 times. means “the probability of getting a vowel on exactly 3 of the spins.”
P(3 successes)
Compute P(3 successes) for 5 spins of the spinner
0.165
Step-by-step explanation:
edge 2022
Solvethefollowing:a) 7 − 4 + 12 = 2 + 8b) 14 + 15 − 9 + 1 = −7 + 1 − 9c) 4 − 10 = 8( + 2)
Answers
First, we subtract 2x on each side.
\(\begin{gathered} 7x-4x-2x+12=2x-2x+8 \\ x+12=8 \end{gathered}\)Then, we subtract 12 on each side.
\(\begin{gathered} x+12-12=8-12 \\ x=-4 \end{gathered}\)The solution is -4.(b)\(14x+15x-9+1=-7x+1-9\)We sum 7x on each side.
\(\begin{gathered} 14x+15x+7x-9+1=-7x+7x+1-9 \\ 36x-8=-8 \end{gathered}\)Then, we add 8 on each side.
\(\begin{gathered} 36x-8+8=-8+8 \\ 36x=0 \end{gathered}\)At last, we divide the equation by 36.
\(\begin{gathered} \frac{36x}{36}=\frac{0}{36} \\ x=0 \end{gathered}\)The solution is 0.(c)\(4x-10=8(x+2)\)First, we use the distributive property.
\(4x-10=8x+16\)Then, we subtract 8x on each side.
\(\begin{gathered} 4x-8x-10=8x-8x+16 \\ -4x-10=16 \end{gathered}\)Now, we add 10 on each side.
\(\begin{gathered} -4x-10+10=16+10 \\ -4x=26 \end{gathered}\)At last, we divide the equation by -4.
\(\begin{gathered} \frac{-4x}{-4}=\frac{26}{-4} \\ x=-6.5 \end{gathered}\)The solution is -6.5.You are stuck at home with your family during a quarantine. to pass time, you play games with your siblings lisa and maggie. in the course of 10 games, maggie wins all of them and you begin to suspect that she is cheating by rigging the dice. to check this, you roll two dice 200 times (observing the sum of the numbers facing up) that were being used for the games:
Answers
The p-value of this chi-squared goodness of fit test is 0.770 which is the the second option. Since the p-value (0.770) is greater than the significance level (0.05), we fail to reject the null hypothesis. This means there is insufficient evidence to conclude that the dice are not fair based on the observed frequencies.
To perform a chi-squared goodness of fit test to assess if the observed frequencies of the sums from rolling the dice 200 times significantly deviate from the expected probabilities. The followings are the steps to determine the answer.
State the null and alternative hypotheses:
- Null Hypothesis (H₀): The dice are fair, and the observed frequencies match the expected probabilities.
- Alternative Hypothesis (H₁): The dice are not fair, and the observed frequencies differ significantly from the expected probabilities.
- Set the significance level (α): The significance level determines the threshold for rejecting the null hypothesis. Let's assume α = 0.05.
Calculate the expected frequencies: Multiply the expected probabilities for each sum by 200 to obtain the expected frequencies for each sum.
Expected Frequencies:
- Sum: 2 3 4 5 6 7 8 9 10 11 12
- Exp: 5.56 11.11 16.67 22.22 27.78 33.33 27.78 22.22 16.67 11.11 5.56
Calculate the chi-squared test statistic:
- Compute the chi-squared value for each sum using the formula: (Observed Frequency - Expected Frequency)² / Expected Frequency.
- Sum up all the chi-squared values to obtain the test statistic.
Observed Frequencies:
- Sum: 2 3 4 5 6 7 8 9 10 11 12
- Obs: 3 11 15 29 33 20 31 25 21 8 4
Chi-Squared Test Statistic:
- χ² = Σ[(Observed Frequency - Expected Frequency)² / Expected Frequency]
Determine the degrees of freedom (df):
- The degrees of freedom for a goodness of fit test is equal to the number of categories (sums) minus 1.
df = Number of Categories - 1 = 11 - 1 = 10
Calculate the p-value:
- The p-value represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true. We can use a chi-squared distribution table or a calculator to find the p-value associated with the test statistic and degrees of freedom.
Given the test statistic and degrees of freedom, we can calculate the p-value. In this case, the p-value is approximately 0.770.
The complete question must be:
You are stuck at home with your family during a quarantine. To pass time, you play games with your siblings Lisa and Maggie. In the course of 10 games, Maggie wins all of them and you begin to suspect that she is cheating by rigging the dice. To check this, you roll two dice 200 times (observing the sum of the numbers facing up) that were being used for the games:
Sum of Two Dice 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 Number of Occurrences 3, 11, 15, 29, 33, 20, 31, 25, 21, 8, 4
Perform a chi-squared goodness of fit test to test the null hypothesis that the dice are fair versus the alternative that the dice are not fair. What is the p-value of this test? options 0.011, 0.770, 0.301, 0.230
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will give brainliest! please help!! label the diagram with the correct measure of of each lettered angle & explain the angle relationships with n, p & q
Answers
Answer:
a 64°
b 116°
c 116°
d 64°
e 108°
f 72°
g 108°
h 72°
i 108°
j 108°
k 108°
m 105°
n 79° = opposite angle
p 90° = 180-90=90
q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64. 180-64=116
s 72°
t 119°
Step-by-step explanation:
a 64°
b 116°
c 116°
d 64°
e 108°
f 72°
g 108°
h 72°
i 108°
j 108°
k 108°
m 105°
n 79° = opposite angle
p 90° = 180-90=90
q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64. 180-64=116
s 72°
t 119°
Answer:
d = 64°
c = 180° - 64° = 116°
a = 64°
b = 180° - 64° = 116°
m = 180° - 75° = 105°
t = 180° - 61° = 119°
f = 180° - 108° = 72°
g = 108° = e
h = 180° - 108° = 72°
i = j = g = 108°
k = i = 108°
s = 180° - 108° = 72°
n = 79°
p + n + 75° + q = 360° (their vertices form a quadrilateral)
--> q = 360° - 90° - 79° - 75° = 116°
(i see that n,p,q don't have any special relationships at all but i'm not sure about that, sorry)
a sample of 58 observations will be taken from an infinite population. the population proportion equals 0.80. the probability that the sample proportion will be between 0.8755 and 0.883 is
Answers
The probability that the sample proportion will be between 0.8755 and 0.883 is 0.0308
it is given that
sample size, n = 58
population proportion, p = 0.80
p(0.8785 < p < 0.894) = ?
we have, Z = \(\frac{p_{s} - p}{\sqrt{\frac{p(1-p)}{n} } }\)
Z = 0.8785 - 0.80 / √[0.80(1-0.80)]/58
Z = 1.49
from Z- table, we have
p( z < 1.49)
= p₁ = 0.9325
Z₂ = 0.894 - 0.80 / √[0.80(1-0.80)]/58
Z₂ = 1.79
from Z- table, we have
p( z < 1.79)
= p₂ = 0.9325
p (0.8785 < p < 0.894) = p₂ - p₁ = 0.9633 - 0.9325 = 0.0308
therefore, the probability that the sample proportion will be between 0.8755 and 0.883 is 0.0308.
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Factorise each expression
a) 3x+12m
b) 6h²+18ah
Answers
After factorising the given expression we have the factors:
a) = 3(x + 4m)
b) = 6h(h + 3a)
What is factorising?Expanding brackets in reverse is a process known as factorising. Fully factorising an expression entails putting it in brackets by eliminating the factors with the highest common denominator.
The easiest method of factoring is:
Find the terms in the expression that have the highest common factor.Anytime there are any brackets, put the highest common factor (HCF) there.By multiplying out, fill in each term in the brackets.Factorisation:
a) 3x+12m
= 3(x + 4m)
b) 6h²+18ah
6h(h + 3a)
Thus, After factorising the given expression we have the factors:
a) = 3(x + 4m)
b) = 6h(h + 3a)
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if a stream begins at an elevation of 600 meters and flows a distance of 200 kilometers to the ocean, what is the average gradient?
Answers
The average gradient of the stream is 0.3 meters/kilometer (m/km).
To calculate this, we need to determine the change in elevation over the distance of 200 kilometers. Therefore, the difference in elevation is 600 meters (the starting elevation) minus the elevation at the ocean (assumed to be 0 meters). Dividing this difference (600 meters) by the distance (200 kilometers) gives us the average gradient: 0.3 m/km.
It is important to remember that this is only an average, and the gradient of a stream is not constant throughout its course. Factors such as terrain, obstacles, and rainfall will all affect the gradient of the stream, making it higher or lower at certain points. It is also important to note that a negative gradient means the elevation of the stream is decreasing, while a positive gradient indicates that the elevation is increasing.
In conclusion, the average gradient of the stream beginning at 600 meters and flowing 200 kilometers to the ocean is 0.3 m/km.
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List two multiples of 17
Answers
What is joule per meter second?
Answers
Joule per meter second is the unit of measurement for momentum flux or power per unit area. It is commonly used in physics and engineering to quantify the rate of energy transfer or momentum flow per unit area.
Joule per meter second (J/m^2s) is not the correct unit for momentum flux or power per unit area. The correct unit for momentum flux is Newton per square meter (N/m^2), also known as Pascal (Pa), while the correct unit for power per unit area is watt per square meter (W/m^2). The joule per meter second (J/m^2s) is actually the unit for volumetric energy dissipation rate, which measures the rate at which energy is being dissipated within a fluid volume per unit volume. It is used in the study of fluid dynamics and turbulence.
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seven people were chosen from a pool of 21 people tested that resulted in an outcome of 33%. this is an example of a ratio. break-even selection furlough retention turnover
Answers
It is important to note that the term "break-even," "selection," "furlough," "retention," or "turnover" does not directly apply to this scenario.
The given scenario, where seven people were chosen from a pool of 21 people and resulted in an outcome of 33%, is an example of a ratio.
In this case, the ratio is calculated as the number of chosen individuals (7) divided by the total number of individuals in the pool (21), resulting in a ratio of 7/21 or 1/3. This ratio represents the proportion or percentage of the pool that was selected.
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Suppose it takes you 12 min to walk from home to school at a rate of 260 ft/min. Your friend lives closer to school than you do. Which inequality represents the distance d (in feet) that your friend lives from school? A. d 260 C. d > 3120 D. d < 3120
Answers
Answer:
The answer is d < 3120.
Step-by-step explanation:
You freeze 6 muffins and share the rest equally among yourself and 2 friends. What is the expression?
Answers
Answer:
2
Step-by-step explanation:
6 divided by three (yourself and two friends) is 2
so each person will get two muffins
expand and simplify 3(2a+3b)+2(a+2b)
Answers
Answer:
8a+13b
Step-by-step explanation:
First start by multiplying the coefficient with the parantheses.
3(2a+3b)+2(a+2b)
6a+9b+2a+4b
8a+13b
This equation cannot be further simplified.
Answer:
6a+9b+2a+4b
6a+2a+9b+4b
8a+13b
What is the sum of the exterior angles of a polygon that has 159 sides
Answers
Answer:
k
Step-by-step explanation:
yes u smart
a homeowner has budgeted $10,000 for some home remodeling. a contractor has told him the labor and the cost of materials will be about the same amount. the homeowner wants to have about $3,000 left over for furnishings. how much will the homeowner be able to spend on labor and on materials?
Answers
Answer:
$3,500 labor and $3,500 materials
Step-by-step explanation:
furnishings + labor + materials = 10,000
furnishings = 3000
3000 + labor + materials = 10,000
labor = materials
3000 + labor + labor = 10,000
2(labor) = 7,000
labor = 7,000/2
labor = 3,500
labor = materials = 3,500
A person on a bridge 125 feet above the ground drops his cell phone ( picture) the height of the falling cell phone is modeled byHeight =-16t^2+8.5t+125Where the height is measured in feet and the time t is measured in seconds How many seconds will it take the cell phone to reach 65 feet above the ground?T=______seconds (round to 3 decimal places)
Answers
You have to solve the following equation
\(\begin{gathered} 65=-16t^2+8.5t+125 \\ 0=-16t^2+8.5t+60 \end{gathered}\)After you use the quadratic formula you would get
t=2.2
That would be the final answer
t=2.2
what type of conic section is given by the equation 4x^2+25y^2=100
Answers
The type of conic section that is represented in the provided equation form is ellipse.
How to identify conic section from an equation?To identify the type of conic section from an equation whether it is circle or ellipse.
Let us suppose the equation as,
\(Ax^{2} +By^{2}+Cx+Dy+E=0\)
In this equation,
if \(A=B\) ; then it is the equation of circle.if \(A\neq B\) ; but both \(A\) and \(B\) has same sign (either positive or negative), then it is the equation of ellipse.either \(A=0\) or \(B=0\), but not both, then it is the equation of parabola.if \(AB < 0\), then it is the equation of hyperbola.We have to identify the type of conic section that has the equation,
\(4x^{2} +25y^{2}=100\)
By comparing this equation with the above equation, we get,
\(A=4\\B=25\)
Here neither \(A\) or \(B\) is equal to \(0\) and the sign of both are
similar(positive), so the equation form is ellipse.
Therefore, the type of conic section which is represented in the provided equation form is ellipse.
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Find the area of the figure
Answers
Answer:
Answer is 50 m squared
Step-by-step explanation:
Answer: 32.5cm
Step-by-step explanation:
i hope this helps
PLEASE HELP !!!!!!!! What is the equation of the directrix for the following parabola: -8(x-5)=(y+1)^2
a. y=-3
b. x=7
c. y=7
d. x=-3
Answers
Answer:
x=7
Step-by-step explanation:
The directrix of the equation is x=7
What is directrix of parabola?The directrix of a parabola is a line that is perpendicular to the axis of the parabola. The directrix of the parabola helps in defining the parabola. A parabola represents the locus of a point which is equidistant from a fixed point called the focus and the fixed line called the directrix. The directrix and the focus are equidistant from the vertex of the parabola. Here we define the directrix for the standard equations of a parabola.
The directrix of the parabola y^2 = 4ax, having x-axis as its axis, passes through (-a, 0), and has the equation x + a = 0.The directrix of the parabola y^2 = -4ax, having x-axis, passes through (a, 0), and has the equation x - a = 0.The directrix of the parabola x^2 = 4ay, having y-axis as its axis, passes through (0, -a), and has the equation y + a = 0.The focus of the parabola x^2 = -4ay, having y-axis as its axis, passes through (0, a), and has the equation y - a = 0.Given:
-8(x-5)=(y+1)²
Now, using the definition of directrix
x= 8/4 +5
x= 2+ 5
x= 7
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If 2 out of 20 sample points plotted on a control chart are beyond the control limits, and no other information is given: A. the evidence is not sufficient and inconclusive. B. the evidence is sufficient to indicate the process is in control. C. None of these answer choices is correct. D. the evidence is sufficient to indicate the process is out of control.
Answers
Based on the given information that 2 out of 20 sample points plotted on a control chart are beyond the control limits, the correct answer is D) The evidence is sufficient to indicate that the process is out of control.
Control charts are used to monitor and control processes, with control limits representing the expected boundaries for a process in control.
When data points fall outside these control limits, it indicates that the process is exhibiting variation beyond the expected range.
In this case, the occurrence of 2 out of 20 sample points beyond the control limits suggests that the process is not operating within the expected range of variation.
This provides sufficient evidence to indicate that the process is out of control.
Option B, stating that the evidence is sufficient to indicate the process is in control, is incorrect based on the information provided. The evidence supports the conclusion that the process is out of control, not in control.
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