50 POINTS HELP/BRAINIEST

GEOMETRY

The construction of a tangent to a circle given a point outside the circle can be justified using the second corollary to the inscribed angle theorem. An alternative proof of this construction is shown below. Complete the proof

Given: Circle C is constructed so that CD = DE = AD; CA is a radius of circle C.
Prove: AE is tangent to circle C.

Answers

Answer 1

Answer:

Proof:

By the inscribed angle theorem, we know that angle BAC is equal to angle DEC. By the second corollary to the inscribed angle theorem, we know that line segment AE is perpendicular to line segment AC. Therefore, line segment AE is tangent to circle C.

Step-by-step explanation:

Analyze and ensure the answer is correct.

Answer 2

Answer:

Step-by-step:


By the inscribed angle theorem, we know that angle BAC is equal to angle DEC. By the second corollary to the inscribed angle theorem, we know that line segment AE is perpendicular to line segment AC. Therefore, line segment AE is tangent to circle C.


Related Questions

Select the correct answer. Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f? A. An exponential function passes through (0, minus 6), (0.5, minus 2), (1, 0), (2, 2), (5, 3) B. An exponential function passes through (minus 1, minus 2), (minus 0.5, 0), (0, 1), and (4, 3) C. An exponential function passes through (minus 5, 3), (minus 2, 2), (minus 1, 0), and (0, minus 6) D. An exponential function passes through (minus 4, 3), (minus 1, 3.8), and (0, 5)

Answers

The exponential function which passes through (0,-2),(1,0),(2,2) (5,3) is negative on the interval (-∞,1) and positive on  the interval (1,∞).

Given Function f is negative on the interval (-∞,1) and positive on the interval (1,∞)

We have to find the statement for which the exponential function' s values are given.

First option is having the statement which says that exponential

function passes through points (0,-6)(0.5,-2),(1,0),(2,2) (5,3). These points are showing the domain and value of the function which is codomain.

for x=0 it has -6,

for x=1 it has 0,

for x=2 it has 2,

for x=5 it has 3.

for x=0.5 it has -2

The description says that value of function is negative in interval (-∞,1) and positive in (1,∞) which is true for option A as it has negative values of -2 for x=0 and for x=2,5 it has value of 2 and 3.

Hence the function f is an exponential function passes through  (0, minus 6), (0.5, minus 2), (1, 0), (2, 2), (5, 3).

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The difference between two numbers is 120. If the smaller number is 720 what is the larger number?

Answers

should be 840 since

720+120=840

The one-to-one functions g and h are defined as follows.

Answers

The value of g⁻¹(5) = 0, h⁻¹(x) = (x+10)/3, and the value of h(h⁻¹(5)) = 5 if  g = {(-4, 1), (0, 5), (5, -3), (8, -8)} and h(x) = 3x - 10

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

g = {(-4, 1), (0, 5), (5, -3), (8, -8)}

As we know,

If f(x) has an ordered pair (x, y) then its inverse of a function has (y, x).

g⁻¹ = {(1, -4), (5, 0), (-3, 5), (-8, 8)}

g⁻¹(5) = 0

h(x) = 3x - 10

h⁻¹(x) = (x+10)/3

h⁻¹(5) = 15/3 = 5

h(h⁻¹(5)) = 3(5) - 10

h(h⁻¹(5)) = 5

Thus, the value of g⁻¹(5) = 0, h⁻¹(x) = (x+10)/3, and the value of h(h⁻¹(5)) = 5 if  g = {(-4, 1), (0, 5), (5, -3), (8, -8)} and h(x) = 3x - 10

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A patient is being given 2 1/3 milligrams of a drug per hour. How many total milligrams of the drug
will he get in 4 hours?

Answers

Answer:

it mean that the patient get 7mg drug in1 hour and infour hours he get 4×7= 28mg drug

A single die is rolled twice. Find the probability of getting a 1 the first time and a 4 the second time.

Answers

Answer:

1/36

Step-by-step explanation:

Rolling a 1 the first time has an 1/6 chance and rolling a 4 has an 1/6 chance the 2nd time.

1/6 * 1/6 = 1/36 chance.

Search the internet regarding Golden Ratio explain its history significance and find its value in fraction/decimal give at least five examples from nature surroundings human body architecture etc manifesting the concept of Golden ratio please write in easy words for grade 4
help please

Answers

Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

What is the Golden ratio?

It should be noted that the Golden ratio is also called the golden mean or divine proportion.

The Golden ratio is refered to as the. most beautiful number in the universe.

It is extraordinary because it can be visualized everywhere from geometry to the human body.

In this case, quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

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The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0 2
Probability .17 .13
3
133 16 .11 .10
Find the probability that -2 ≤x≤2

Answers

Considering the distribution given in the table, the desired probability is:

[tex]P(-2 \leq X \leq 2) = 0.6[/tex]

What is the probability distribution given in the table?

The distribution is:

P(X = -5) = 0.17.P(X = -3) = 0.13.P(X = -2) = 0.33.P(X = 0) = 0.16.P(X = 2) = 0.11.P(X = 3) = 0.10.

The values between -2 and 2(inclusive) are -2, 0 and 2, hence the desired probability is:

[tex]P(-2 \leq X \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.6[/tex]

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What are the solution points for the system graph?
Question 14 options:

A)

(–2,–4) and (4,8)

B)

(–2,8) and (–4,4)

C)

(8,–2) and (4,–4)

D)

(–2,4) and (–4,8)

Answers

Answer:

btyivh

Step-by-step explanation:

he was so much for your support of school and I have a great day of school and I have a great day of school and I have a great day of school

The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.

We need to find the solution to the given function.

How to find the solution to the function from the graph?

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be at the point where the two lines intersect.

From the given graph we can see that the two functions are intersecting at (–2,–4) and (4,8).

The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.

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A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 4 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds.

Answers

Answer:

write three methods of writing set. Give one example of each method.

Help please with discussion

Answers

The sentence indicates that the increase in the value of a coin collection was exponential as such increase was continuous and constant in time. (Correct choice: A)

How to determine if a given relationship represents an exponential function

Exponential functions are trascendent expressions, these are, expressions that cannot be described algebraically, that are defined by the following expressions:

[tex]f(x) = a \cdot \left(1+ \frac {r}{100}\right)^{x}[/tex]     (1)

Where:

a - Initial valuex - Independent variablef(x) - Dependent variabler - Increase rate

Exponential functions are used to represent constant continuous increases or decreases in terms of the independent variable. The sentence indicates that the increase in the value of a coin collection was exponential as such increase was continuous and constant in time. (Correct choice: A)

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mer School)
Applying the Addition Rule of Mutually Exclusive Even
A day of the week is randomly chosen. What is the probability of choosing Monday or a day that starts with t
S?
Try It
P(Monday) =
P(starts with S) =
P(Monday or starts with S) =

Answers

Step-by-step explanation:

a probability is always the number of desired cases over the number of total possible cases.

in this situation the number of total cases is 7 : days of the week.

the 3 probabilities just differ based on the number of desired cases.

P(Monday) : there is only one desired case out of the 7 possible ones. so, the probability is

1/7 = 0.142857143...

P(starts with S) : 2 desired cases (Saturday and Sunday).

so the probability is

2/7 = 0.285714286...

P(Monday or starts with S) : 3 desired cases (Monday, Saturday, Sunday).

so the probability is

3/7 = 0.428571429...

I have 28 students in my MAT121 class who recently took a test. Their results are graphed below.
a. What percent received a score less than 60?
b. How many students received a score greater than 85?

Answers

Considering the box-and-whisker plot, it is found that:

a) 25% of the students scored less than 60.

b) 25% of the students received a score greater than 85.

What does a box-and-whisker plot shows?

A box and whisker plot shows three things:

The 25th percentile, which is the median of the bottom 50%.The median.The 75th percentile, which is the median of the upper 50%.

From the plot given in the graph, we have that:

The 25th percentile is of 60, hence 25% of the students scored less than 60.The 75th percentile is of 85, hence 25% of the students received a score greater than 85.

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See question below super confused

Answers

Answer:

$ 1021.25

Step-by-step explanation:

FV = P ( 1 + .085 * 3/12)  = 1021.25

                      3/12 = 3 months out of a year

                       .085 = decimal interest       P = 1000

Quick PLEASE! Fred wants to have $25 000 saved in ten years to help pay for a down payment on a house. How much would he have to invest today to have enough money in ten years if the investment offers an interest rate of 6.0% compounded monthly. Make sure to show all your work.

Answers

The amount he would invest today to have enough money in ten years if the investment offers an interest rate of 6.0% compounded monthly is $13740.79

Compound interest

The formula for calculating the compound interest is given as:

A = P(1+r/n)^nt

Given the following parameters

25000 = P(1+0.06/12)^12(10)

25000 = P(1+0.005)^120

25000 = P (1.005)^120

25000 = 1.8194P

P =  25000/1.8194

P = $13740.79

Hence the amount he would invest today to have enough money in ten years if the investment offers an interest rate of 6.0% compounded monthly is $13740.79

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2₂
5
●x<0
X>0
●x< 1
3
2
A
-3
2 3
3
What is the domain of the function?
all real numbers
a

Answers

Answer:

x>0

Step-by-step explanation:

The domain of a function is the set of x-values.

what are the values Of p and q ?​

Answers

The values of p and q in the function f(x) = 2x³ + 17x² - 3px - 5q is p = 8, q = 27

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

x - 3 (i.e. x = 3) and x + 9 (i.e. x = -9) are factors of f(x) = 2x³ + 17x² - 3px - 5q

Hence:

f(3) = 0

2(3)³ + 17(3)² - 3p(3) - 5q = 0  (1)

Also:

2(-9)³ + 17(-9)² - 3p(-9) - 5q = 0  (2)

Hence, p = 8, q = 27

The values of p and q in the function f(x) = 2x³ + 17x² - 3px - 5q is p = 8, q = 27

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Beginning inventory, purchases, and sales for WCS12 are as follows:

Oct. 1 Inventory 300 units at $12
13 Sale 190 units
22 Purchase 390 units at $15
29 Sale 300 units
a. Assuming a perpetual inventory system and using the weighted average method, determine the weighted average unit cost after the October 22 purchase. Round your answer to two decimal places.

Answers

The weighted average unit cost after the October 22 purchase is $13.70.

What is the weighted average unit cost?

The weighted average unit cost determines the weighted average cost of all the purchased inventory.

[(300 x 12) + (390 x 15) ] / (300 + 390)

(3600 + 5850) / 690 = $13.70

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Write each of the following as a trigonometry ratio of positive acute angles. (a) sin(-194°) (b) cos 481° (c) tan 185° (d) sin 331° Write each of the following as a trigonometry ratio of positive acute angles . ( a ) sin ( -194 ° ) ( b ) cos 481 ° ( c ) tan 185 ° ( d ) sin 331 °​

Answers

(a) [tex]\sin(-194^{\circ})=-\sin 194^{\circ}=-(-\sin 14^{\circ})=\sin 14^{\circ}[/tex]

(b) [tex]\cos 481^{\circ}=\cos 121^{\circ}=-\cos 59^{\circ}[/tex]

(c) [tex]\tan 185^{\circ}=\tan 5^{\circ}[/tex]

(d) [tex]\sin 331^{\circ}=\sin(-29^{\circ})=-\sin 29^{\circ}[/tex]

Which of these triangle pairs can be mapped to each other using a reflection and a translation? a Triangles L R K and A R Q are connected at point R. Triangle L R K is reflected across point R to form triangle A R Q. b Triangles L P K and Q R A are shown. Triangle L P K is reflected across a line to form triangle Q R A. Triangle Q R A is shifted to the right of triangle L P K. c Triangles L P K and Q R A are shown. Triangle L P K is shifted down and to the left to form triangle Q R A. d Triangles L P K and Q R A are shown. Triangle L P K is rotated to form triangle Q R A. Triangle Q R A is also shifted to the right.

Answers

The triangle pairs that can be mapped to each other using a reflection and a translation is; Option B

How to Interpret Triangle Transformations?

Let us analyze each of the graphs;

Option A; This graph didn't use a reflection and a translation because we see that there was first a reflection across side QR and then another reflection across side AR.

Option B; This graph is correct as it made use of a reflection and a translation as seen in the attached graph.

Option C; This didn't use of a reflection and a translation because it instead carried out translation both in vertical and horizontal direction.

Option D; This carried out Translation and Rotation.

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Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described?

Answers

Recall that for all t,

cos²(t) + sin²(t) = 1

Now,

x = 5 cos(t) - 7   ⇒   (x + 7)/5 = cos(t)

y = 5 sin(t) + 9   ⇒   (y - 9)/5 = sin(t)

so that substituting into the identity above, we get

((x + 7)/5)² + ((y - 9)/5)² = 1

which we can rewrite as

(x + 7)²/25 + (y - 9)²/25 = 1

(x + 7)² + (y - 9)² = 25

and this is the equation of a circle centered at (-7, 9) with radius 5.

explain in words with mathematical representations how you would dividie this polynomial in each of the three ways:

Answers

The division of a polynomial is illustrated below.

What is a polynomial?

It should be noted that a polynomial simply means an expression that consist of variables which involves the operation of addition, subtraction, etc.

The way to divide the polynomial will be:

Set up the division problem.

Determine the first term of the quotient.

Multiply the answer by the divisor.

Write it below the like terms of the dividend.

Subtract the bottom binomial from the term above it.

Bring it down and repeat the steps until you reach the last term.

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To collect data from a number of people in a sample, use a/an ___________________. A. questionnaire B. group chart C. question log D. long form

Answers

To collect data from a number of people in a sample, use a questionnaire

What are questionnaires?

Questionnaires are quantitative method used in research for information collection purpose.

This questionnaires consists of several question necessary to provide answers and solution to research questions and for the purpose of analysis. These questions can be open or closed ended questions depending on the nature of research.

Hence we can conclude that. to collect data from a number of people in a sample, use a questionnaire

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I’m having some problems understanding. I get it but don’t at the same time.

Answers

Answer:

C is the correct answer.

Step-by-step explanation:

-Angle 1 is not equal to Angle 5.

-Angle 3 + Angle 5 will not equal 180 degrees, since they are corresponding angles, not supplementary angles.

Though, Angle 8 is equal to Angle 6, likewise that 7 is equal to 9. Therefore, these angles will create a 180 degrees angle. This is because if 8 and 9 are supplementary, and 7 is a corresponding angle of 9, this will make Angle 8 + Angle 7 = 180 degrees.

In a survey of 4096 adults, 733 oppose allowing transgender students to use the bathrooms of the opposite biological sex Construct a 99% confidence interval for the population proportionInterpret the results A 99% confidence interval for the population proportion is (Round to three decimal places as needed)

Answers

A 99% confidence interval for the population proportion is; CI = (0.164, 0.194)

How to construct the confidence Interval?

We are given;

Sample size; n = 4096

Number that opposed transgender students; x = 733

Thus;

Proportion; p^ = x/n = 733/4096 = 0.179

Formula for confidence interval of proportions is;

CI = p^ ± z√[p^(1 - p^)/n]

The z-value for confidence level of 99% is z = 2.576

Thus;

CI = 0.179 ± 2.576√[0.179(1 - 0.179)/4096]

CI = 0.179 ± 0.015

CI = (0.164, 0.194)

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Translate this sentence into an equation.

22 more than Helena's score is 41.

Use the variable h to represent Helena's score.

Answers

22 more (+) than Helena’s score (h) is (=) 41
h+22=41

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries negative 10, 0, 0, negative 4, negative 6, 0. Which is a y-intercept of the continuous function in the table? (0, –6) (–2, 0) (–6, 0) (0, –2)

Answers

The y-intercept of the continuous function in the table is (0, –6)

Data obtained from the questionColumn 1 (x): -4, -3, -2, -1, 0, 1Column 2 [f(x)]: 10, 0, 0, -4, -6, 0y-intercept coordinate =?

How to determine the y-intercept coordinate

To determine the y-intercept coordinate, we must understand the y-intercept is a point on a graph where the line passes through the y-axis at x = 0.

With the above information in mind, we can easily obtain the y-intercept coordinate as follow:

From the the two columns given in the question, the value of y when x = 0 is -6.

Thus, the y-intercept coordinate is (0, -6)

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If np is greater than or equal to 5 and nq is greater than or equal to 5, estimate P (more than 9) with n=12 and p= 0.3 by using the normal distribution as an approximation to the binomial distribution, if np<5 or nq<5, then state that the normal approximation is not suitable

Answers

The normal approximation is not suitable as np<5.

Given,

mean = np

It turns out that if np and nq are both at least 5, the normal distribution can be used to approximate the binomial distribution. Additionally, keep in mind that a binomial distribution has a mean of np and variance of npq.

Hence apply the mean formula and get the value for np

n= 12 and p=0.

therefore mean = np

np = n×p

np = 12×0.3×

np = 3.6

np is less than 5.

nq=?

q=1-p

q=1-0.3

q=0.7

∴nq = 12 × 0.7

nq = 8.4

nq is not less than 5

It's remarkable that the normal distribution may accurately represent the binomial distribition when n, np and nq are large.

since here only nq is greater than five and np is less than five, therefore we conclude that normal approximation is not suitable.

Hence np<5 so normal approximation is not suitable.

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For an output level below Qg, the value of a unit to a buyer is
Suppose a firm that produces for this market is able to influence the market price, which leads to an outcome that differs from the free market
equilibrium shown in the previous graph. Such a situation is characterized by
, which is an example of
the cost of a unit to a seller.

Answers

Step-by-step explanation:

გჰჰბფჯ არ არის დაწერეთ პირველი კომენტარი არ არის დაწერეთ პირველი კომენტარი არ არის დაწერეთ პირველი

Need help with this one can anyone help me?

Answers

Reflecting across the line AD
They share the same sides and they’re equal on both i believe

Suppose your weekly paycheck is $300.
Because of losses by your employer, you agree to a temporary 10% pay
cut.
Your employer promises to give you a 10% pay raise after six months.
Will the pay raise restore your original salary?
For full credit, you must explain why or why not in the space provided
below.

Answers

Answer:

No

Step-by-step explanation:

[tex]300 \times .9 \times 1.1 = 297[/tex]

Other Questions
Identify the slope and y-intercept of the line whose equation is given. write the y-intercept as an ordered pair. y = negative 2 x + 5 a. slope = negative 2; y-intercept (0, 5) b. slope = 2; y-intercept (0, 5) c. slope = 5; y-intercept (0, 2) d. slope = negative 5; y-intercept (0, 2) please select the best answer from the choices provided a b c d Given a list of numbers, find the correct function to find the sum of the squares of only the positive elements.sqsum1sqsum2sqsum3sqsum4sqsum5 Help please with discussion The function f(x) is given by the set of ordered pairs. i need help so much with this question For an output level below Qg, the value of a unit to a buyer isSuppose a firm that produces for this market is able to influence the market price, which leads to an outcome that differs from the free marketequilibrium shown in the previous graph. Such a situation is characterized by, which is an example ofthe cost of a unit to a seller. 12. A landscaper buys a new commercial-gradelawn mower that costs $2,800. Based onpast experience he expects it to last about 8years, and then he can sell it for scrap metalwith salvage value of about $240. Assumingthe value of the lawn mower depreciates ata constant rate, which equation could beused to find its approximate value after xyears, given that x < 8? write a letter to your aunt inviting her to your birthday party with three reasons why A Macedonian song with historical and nationalistic themes is known as a/an a. Jig b. Epic c. Reel d. Polka What can an author do to promote a reader's suspension of disbelief? cuantos parques solares hay en francia Jean-jacques rousseau believed that there were two types of inequality: natural or physical inequality and moral or political inequality. which is an example of moral or political inequality? being elderly being weakened by disease having great strength of character having more power than others mer School)Applying the Addition Rule of Mutually Exclusive EvenA day of the week is randomly chosen. What is the probability of choosing Monday or a day that starts with tS?Try ItP(Monday) =P(starts with S) =P(Monday or starts with S) = Select the letter of the correct answer. Which of these sentences states the main idea of the article? A.Tenayuca was called "The Passionate One of Texas" by workers in the city. B.Tenayuca marched alongside workers during a cigar factory strike. C.Tenayuca spent a lot of quality time with her grandfather as a young girl. D.Tenayuca worked to improve the lives of Mexican American workers. A single die is rolled twice. Find the probability of getting a 1 the first time and a 4 the second time. What is the difference between the sum of the first 2003 even counting numbers and the sum of the first 2003 odd counting numbers how many formula units of CaCl2 are in 111 g CaCl2? the molar mass of calcium chloride is about 111 g/mol Which of the following statements is NOT true? Group of answer choices Net working capital (NWC) refers to the difference between current assets and current liabilities. Working capital efficiency refers to the length of time between when a working capital asset is acquired and when it is converted into cash. Gross working capital refers to the funds invested in a company's current liabilities. Working capital management involves making decisions regarding the use and sources of current assets. State two differences between a mouse pointer and a mouse cursor Youre starting to form some initial impressions about the teams problems. What would you recommend based on your impressions thus far?.