Answers
Using CPCT the length of the segment AB = ED for the given triangle.
What is CPCT?The term "CPCT" stands for "Corresponding parts of Congruent Triangle," meaning that if two triangles are congruent, they are precisely mirror copies of one another and their corresponding parts, such as side lengths and angles, can be assumed to be equal. According to the concept of corresponding parts of congruent triangles, or cpct, corresponding sides and corresponding angles of two congruent triangles are identical.
In the given figure it is given that C is the midpoint of BE thus,
BC = CE
In triangle ABC and triangle DCE we have:
angle C = angle C vertically opposite angles.
BC = CE (C is the midpoint)
Angle A = angle E (given)
Thus, using CPCT the length of the segment AB = ED for the given triangle.
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Related Questions
chegg if other factors are held constant, increasing the sample size for a chi-square test for independence will increase the likelihood of rejecting the null hypothesis.
Answers
Increasing the sample size for a chi-square test for independence, while holding other factors constant, increases the likelihood of rejecting the null hypothesis because as the sample size increases, the test becomes more sensitive to detecting small deviations from the expected frequencies.
In a chi-square test for independence, the null hypothesis assumes that there is no association between two categorical variables.
The test compares the observed frequencies in a contingency table to the expected frequencies under the assumption of independence. The chi-square test statistic measures the discrepancy between the observed and expected frequencies.
When the sample size is small, the test may not have enough power to detect a significant departure from the null hypothesis, even if such a departure exists in the population.
However, as the sample size increases, the test becomes more capable of detecting smaller deviations from independence, increasing the likelihood of rejecting the null hypothesis when there is a true association between the variables.
Therefore, increasing the sample size can improve the statistical power of the chi-square test and increase the likelihood of rejecting the null hypothesis, assuming other factors remain constant.
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Brenda books the room from 6:30 pm to midnight.
She makes some notes about the party.
Get room ready (hours)
Reception and drinks (45 minutes)
Eat meal (1 hour)
One speech (20 minutes)
Dancing (2 hours)
la Has Brenda booked the room for enough time?
Answers
Answer:
yes, if the "get room ready" is less than 2 hours and 55 mins
Step-by-step explanation:
1 hr +2 hrs +20 mins +45 mins = 3 hrs 5 mins and she has the room for 5.5 hours, so as long as get room ready is just under three hours itll be fine, the question just wasnt written completely
a rectangular patio is 9 ft by 6 ft. when the length and width are increased by the same amount, the area becomes 88 sq ft. ginger is using the zero product property to solve the equation (6 x)(9 x)
Answers
Solving the equation (6x)(9x) using the zero product property we get the solution is x = 2.
To find the solution to the equation, we can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, the product of (6x) and (9x) is given as 88 square feet. So, we have the equation (6x)(9x) = 88.
To solve this equation, we can first simplify it by multiplying the terms inside the parentheses. (6x)(9x) becomes 54x^2. Now our equation is 54x^2 = 88.
To isolate x, we divide both sides of the equation by 54. This gives us x^2 = 88/54. Simplifying further, we have x^2 = 22/27.
Taking the square root of both sides of the equation, we get x=±√(22/27). However, since the length and width of the rectangular patio are increased, we are only interested in the positive value of x.
Approximating the value of √(22/27), we find that x ≈ 0.832. This value represents the amount by which both the length and width of the patio should be increased to obtain an area of 88 square feet.
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The point of concurrency of the angle bisectors of a triangle is known as_____. a) Incentre. b) Centroid. c) Orthocentre. d) None
Answers
The required final answer is option a) Incentre
What is concurrency of the angle?The point of concurrency of the angle bisectors of a triangle is known as the "Incentre".
It is the center of the circle inscribed within the triangle, which is equidistant from all three sides of the triangle.
The incentre is the point where the angle bisectors of a triangle intersect, forming the incircle, which is the largest circle that can be inscribed inside the triangle.
The incentre is always within the triangle and is equidistant from all three sides of the triangle, making
it a useful tool in construction and design applications. In summary, the incentre is the center of the incircle of a triangle, and it is the point where the angle bisectors of the triangle intersect.
Thus, required answer is "Incentre".
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Dylan works for 4 hours and is paid $17.50 per
hour. He must pay 15% in income taxes. What
amount does he earn after taxes?
Answers
Thus, the net amount of income earned by Dylan after the deduction of income tax is found as: $59.50.
Define about the income taxes:Typically, anything you receive in exchange for personal services must be included in your gross income. Together with wages, salaries, bonuses, fees, and gratuities, this also includes other types of pay, like stock options and fringe benefits.
When purchasing the majority of products and services, consumers must pay sales taxes.Both federal government and several state governments rely heavily on income taxes as a source of funding.Revenue is generated locally through property taxes.Given data:
Gross income of Dylan = $17.50 per hourNumber of hours n = 4Income tax = 15%Net income = gross income - income tax
Net income = 17.50*4 - 0.15* (17.50*4)
Net income = 59.50
Thus, the net amount of income earned by Dylan after the deduction of income tax is found as: $59.50.
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3/5 divided by 4 plzz
Answers
Answer:
3/20, or 0.15
Step-by-step explanation:
Answer:
answer is 3/20 which is 0.15 have a nice day
PLEASE help me I WILL MARK BRAINLIEST
Answers
Answer: The answer is B
Step-by-step explanation:
-(5n-1\right)\left(25n^2+5n+1)
u gotta flip it and the answer is B on your screen!!!
Solve for q.
q2–14q+49=0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
Answers
explanation: matheay cacultor
Exponential form 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
Answers
Answer:
1
Step-by-step explanation:
of course the answer is one but you can't write it in exponential form because a regular keyboard doesn't contain it
Answer:
1
Step-by-step explanation:
Here are two expressions whose product is a new expression, :
1. What could we put in the boxes to make be a polynomial?
2. What could we put in the boxes to make not be a polynomial?
Answers
Answer:
1. Fill in the box with 1
2. Fill in the box with -2
Step-by-step explanation:
Expression:
\((-2x^3 + [\ ]x)(x^{[\ ]}+1.5) = A\)
Solving (1): Fill in the box to make it a polynomial.
To make it a polynomial, we simply fill in the box with a positive integer (say 1)
Fill in the box with 1
\((-2x^3 + [1]x)(x^{[1]}+1.5) = A\)
Remove the square brackets
\((-2x^3 + x)(x^1+1.5) = A\)
\((-2x^3 + x)(x+1.5) = A\)
Open bracket
\(-2x^4 - 3x^3 + x^2 + 1.5x = A\)
Reorder
\(A = -2x^4 - 3x^3 + x^2 + 1.5x\)
The above expression is a polynomial.
This will work for any positive integer filled in the box
Solving (2): Fill in the box to make it not a polynomial.
The powers of a polynomial are greater than or equal to 0.
So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial
Fill in the box with -2
\((-2x^3 + [-2]x)(x^{[-2]}+1.5) = A\)
Remove the square brackets
\((-2x^3 - 2x)(x^{-2}+1.5) = A\)
Reorder
\(A = (-2x^3 - 2x)(x^{-2}+1.5)\)
Open brackets
\(A = -2x-3x^3-2x^{-1}-3x\)
Collect Like Terms
\(A = -3x^3-2x-3x-2x^{-1}\)
\(A = -3x^3-5x-2x^{-1}\)
Notice that the least power of x is -1.
Hence, this is not a polynomial.
subtract -2/15 from -3/5 and add the result to 5/6
Answers
Answer:
6/5
Step-by-step explanation:
-3/5-(-2/15)+5/6
-3/5+2/15+5/6
=-3+2×5/15 + 5/6. (taking lcm)
=-3+6/15+5/6
=3/15+5/6
=3+5×3/15 (taking lcm)
=18/15
=6/5
Answer:
Step-by-step explanation:
-3/5-(-2/15)+5/6
=-3/3+2/15(take lcm of 3 and 15)+5/6
=-3*3+2*1/15+5/6
=-9+2/15+5/6
=-7/15+5/6(take lcm of 15 and 6)
=-7*2+5*5/30
=-14+25/30
=11/30
=11/30
the regular price of a tablet case is $38.45. during a sale, the case was marked as 25% off. what was the approximate price of the case during the sale?
Answers
Answer:
$28.84 with the sale
Step-by-step explanation:
good luck! Brianliest?
Evaluate the expression.
5
−
3
=
Answers
Value of expression 5 - 3 is 2
What is subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Given expression,
5 - 3 = ?
we need the difference of 5 and 3
5 - 3 = 2
Hence, 2 is value of expression 5 - 3
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Let A= ⎣
⎡
−4
−2
0
4
0
−4
6
2
−2
6
2
−2
⎦
⎤
Answers
The eigenvalues λ1 = 2.8284 and λ2 = 9.1716.2.The eigenvector X1 = [0; 0; 1],X2 = [−2; 0; 1].
The Eigenvalues of the matrix A, we need to solve the determinant of (A-λI), where λ is the Eigenvalue, I is the identity matrix and det denotes the determinant.|A-λI|=0A-λI = ⎣
⎡
−4-λ
−2
0
4
0
−4
6
2
−2
6
2
−2
⎦
⎤= (−4−λ) [⎣
⎡
−λ
0
0
0
−λ
0
0
0
−λ
⎦
⎤] + 56 (−2) [⎣
⎡
1
0
0
0
1
0
0
0
1
⎦
⎤]= |⎣
⎡
−4-λ
−2
0
4
0
−4
6
2
−2
6
2
−2
⎦
⎤|= λ³- 4λ² - 16λ + 32 = 0
We can factor this polynomial by trial and error, that gives us,(λ-4)(λ² - 12λ + 8) = 0
Solving this Using the quadratic formula.Therefore the eigenvalues λ1 = 2.8284 and λ2 = 9.1716.2.
The Eigenvectors of the matrix
For λ1 = 2.8284⎣
⎡
−4-2.8284
−2
0
4
0
−4
6
2
−2
6
2
−2
⎦
⎤X = 0⎣
⎡
−6.8284
−2
0
4
0
−4
6
2
−2
6
2
−2
⎦
⎤X = 0
Using the Gaussian Elimination method, we get the following matrix.[1.0000 0 0
0 1 0
0 0 0]This gives us the following equations,1.0000x1 = 0 ...(1)1.0000x2 = 0 ...(2)0x3 = 0 ...(3)From equations (1) and (2), we get,x1 = 0 and x2 = 0.From equation (3), we can choose any value for x3 = 1, which gives us the Eigenvector, X1 = [0; 0; 1].
For λ2 = 9.1716
⎣
⎡
−4-9.1716
−2
0
4
0
−4
6
2
−2
6
2
−2
⎦
⎤X = 0⎣
⎡
−13.1716
−2
0
4
0
−4
6
2
−2
6
2
−2
⎦
⎤X = 0.
Using the Gaussian Elimination method, we get the following matrix.[1.0000 0 2
0 1 0
0 0 0]This gives us the following equations,1.0000x1 + 2x3 = 0 ...(1)1.0000x2 = 0 ...(2)0x3 = 0 ...(3)From equation (2), we get, x2 = 0.From equation (3), we can choose any value for x3= 1, which gives us the Eigenvector, X2 = [−2; 0; 1].
Thus, the eigenvalues λ1 = 2.8284 and λ2 = 9.1716.2.The eigenvector is X1 = [0; 0; 1],X2 = [−2; 0; 1].
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each student at william elementary can only participate in one fall activity. there are 65 students on the football team and twice that number in band. there are 61 students on each of the two soccer teams. how many students participate in fall activities
Answers
Answer:191
Step-by-step explanation:
65x2=130
130+61=191
Solve the triangles. Round decimal answers to the nearest tenth.
Answers
The measurements are 1) ∠B = 65°, a = 23.78 and b = 32.22 and 2) ∠B = 66°, a = 14.33 and b = 24.04
1) Given is a triangle ABC we need to find the missing measures,
So, using the angle sum property of a triangle we get,
∠B = 180° - (73° + 42°)
∠B = 65°
Now we will use the Sine law to find the missing sides,
Sin A / a = Sin B / b = Sin C / c
So,
Sin 42° / a = Sin 73° / 34
Sin 42° × 34 / Sin 73° = a
a = 23.78
Similarly,
b = Sin 65° × 34 / Sin 73°
b = 32.22
So, ∠B = 65°, a = 23.78 and b = 32.22
Similarly part 2 can be solved.
Hence the measurements are 1) ∠B = 65°, a = 23.78 and b = 32.22 and 2) ∠B = 66°, a = 14.33 and b = 24.04
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a box contains six green balls five red balls and eigth yellow balls how many ways are there of choosing ten balls from the bopx if the number of green balls chosen must be even
Answers
The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways
To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.
First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.
Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.
The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.
Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:
(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)
Simplifying this expression gives a total of 15,946 ways.
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What's the circumference of a circle with a radius of 10 inches
Answers
Answer:
5
Step-by-step explanation:
5
How do I find the equation of a line?
Can i have an easy method for this pls tyy!
Answers
Answer:
Steps to find the equation of a line from two points:
Find the slope using the slope formula
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Step-by-step explanation:
Well this is my way lol
mark brainliest if u want to cuz i need 5 more :)
Answer:
Step-by-step explanation:
You usually need to find the slope first.
When you have more than two points, you use the slope-intercept formula.
When you have one point and a slope, you use point-slope formula.
Hope this helps!
-9<2x+1<5
A. -5
B. -4
C. 4>x>-3
D. 5>x>-2
Answers
Answer:
B
Step-by-step explanation:
1.
- 9 < 2x + 1
- 10 < 2x
X > - 5
2.
2x + 1 < 5
2x < 4
X < 2
Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)
Answers
Answer:
-\(3x^{3}\) + \(5x^{2}\) + 4x + 5
Renting a truck for a day costs $75, plus 0.50 for every mile the truck is driven. Function f represents the cost of a day's rental in dollars as a function of the total miles driven x. Which function represents the total miles driven as a function of the daily rental cost?
A-F^-1(x)=2x+150
B-F^-1(x)=2x-150
C-F^-1(x)=0.5x+75
D-F^-1(x)=0.5x-75
Answers
which answer describes the graph of the system of equations?
Answers
Answer:
D, the lines coincide.
Step-by-step explanation:
isolate the y so theres no 2y, only y:
2y = 8 - 2x (divide both sides by 2)
y = 4 - x
The lines are the same line, so while they are plural, they also coincide, as one lies on top of the other.
Hope this helps :) Brainliest??
Answer:
its D
Step-by-step explanation:
if repeated samples of yogurt sales were taken, according to the central limit theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough. because the sample population is , it is safe to apply the central limit theorem, even if the sample size for each sample is 15. a.) uniformly distributed b.) positively distributed c.) normally distributed d.) negatively distributed
Answers
The correct option is C. It is safe to apply the central limit theorem, even if the sample size for each sample is 15, if the sample population is normally distributed.
The central limit theorem states that, if you take repeated samples of a population and calculate the mean of each sample, the distribution of the means of those samples will tend to be normally distributed, provided that the sample size is large enough. This means that, even if the original population is not normally distributed, the distribution of the means of the samples will tend towards a normal distribution as the sample size increases.
However, if the original population is already normally distributed, then you can apply the central limit theorem with a smaller sample size and still expect the distribution of the means of the samples to be normally distributed. Therefore, in order for it to be safe to apply the central limit theorem with a sample size of 15, the sample population must be normally distributed.
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Ao desenhar um triangulo, Heitor aproveitou um dos cantos da folha de seu caderno retangular, que formara um dos vértices do triangulo. Para finalizar o desenho, o maior ângulo inteiro que ele pode usar, medindo com um transferidor, e A 1. B 60. C 89. D 90
Answers
hbbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
The average of a sample of high daily temperature in a desert is 114 degrees F, a sample standard deviation or 5 degrees F, and 26 days were sampled. What is the 90% confidence interval for the average temperature? Please state your answer in a complete sentence, using language relevant to this question.
Answers
In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.
To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.
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Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.
Answers
The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.
To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.
(a) For A = 1, B = 0, and C = 1:
X = 1.¯¯¯¯¯¯01
To find the complement of BC, we replace B = 0 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001
(b) For A = B = C = 1:
X = 1.¯¯¯¯¯¯11
Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111
(c) For A = B = C = 0:
X = 0.¯¯¯¯¯¯00
Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:
X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000
In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.
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12 times what will equal to minus 4 to equal zero
Answers
The answer that 12 times 1/3 will equal to -4 to 0, solving an equation.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
So the equation 12(x)-4 = 0
⇒12*x =4
⇒x=4/12
⇒x = 1/3
Hence, the equation will be solved and the number will be 1/3.
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Look at this shape:which image shows a reflection?I DO NOT WANT A LINK I WANT A REAL ANSWER!!
Answers
Answer:
Step-by-step explanation:
B. Because a reflection is an image flipped
Answer:
The answer is.......
Step-by-step explanation:
B. XD
Given: ∆MNP, PM = 8 m∠P = 90°, m∠N = 58° Find: Perimeter of ∆MNP
(Not 22.4 or 22.43)
Please answer ASAP, brainly awarded.
Answers
Answer:
Step-by-step explanation:
Triangle MNP is a right triangle with the following values:
m∠P = 90°m∠N = 58°PM = 8Interior angles of a triangle sum to 180°. Therefore:
m∠M + m∠N + m∠P = 180°
m∠M + 58° + 90° = 180°
m∠M + 148° = 180°
m∠M = 32°
To find the measures of sides MN and NP, use the Law of Sines:
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Substitute the values into the formula:
\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)
\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)
Therefore:
\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)
\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)
To find the perimeter of triangle MNP, sum the lengths of the sides.
\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)
