Which must be true by the corresponding angles
theorem?
041 = 27
42 = 26
23 45
25= 27

Answers

Answer 1

The corresponding angles are ∠2 and ∠6 i.e., ∠2≅∠6 according to the corresponding angles theorem. So, option 2 is correct.

What is the corresponding angle theorem state?

The theorem states that,

The lines 'AB' and 'CD' are parallel and cut by a transverse 'EF' if and only if their corresponding angles are congruent.

Corresponding angles:

The corresponding angles are those which lie on the same side of the transverse one is interior and the other is an exterior angle.

From the diagram,

Lines 'AB' and 'CD' are parallel and line 'EF' cuts these parallel lines.

So, the corresponding angles formed are:

(∠1, ∠5), (∠2, ∠6), (∠3, ∠7), and (∠4, ∠8)

According to the theorem, they are congruent. I.e.,

∠1 ≅ ∠5

∠2 ≅ ∠6

∠3 ≅ ∠7

∠4 ≅ ∠8

So, option 2 is correct.

Learn more about the corresponding angles theorem here:

https://brainly.com/question/7066290

#SPJ1

Disclaimer: The given question is incorrect. Here is the correct question.

Question: Lines 'c' and 'd' are parallel lines cut by the transversal 'p'. Which must be true by the corresponding angles theorem?

1) ∠1 = ∠7

2) ∠2 = ∠6

3) ∠3 = ∠5

4) ∠5 = ∠7

Which Must Be True By The Corresponding Anglestheorem?041 = 2742 = 2623 4525= 27

Related Questions

A depository institution holds $164 million in required reserves and $9 million in excess reserves. Its remaining assets include $417 million
in loans and $137 million in securities.
If the institution's only liabilities are transactions deposits, calculate the required reserve ratio.
(Enter your response rounded to the nearest integer.)

Answers

The required reserve ratio is 0.226 or 22.6%.

Given that a depository institution holds $164 million in required reserves and $9 million in excess reserves and Its remaining assets include $417 million in loans and $137 million in securities.

The following equality always holds.

Total liabilities=Total assets

It is given that the institution's only liabilities are transaction deposits.

This means:

Total transaction deposits=Total assets

Total transaction deposits=Required reserves + Excess reserves + Loans + Securities

Total transaction deposits=$164+$9+$417+$137

Total transaction deposits=$727

Calculate the required reserve ratio as follows:

Required reserve ratio=(Required reserves)/(Total transaction deposits)

Required reserve ratio=($164 million)/($727 million)

Required reserve ratio=0.226 or 22.6%.

Hence, the required reserve ratio when a depository institution holds $164 million in required reserves and $9 million in excess reserves and Its remaining assets include $417 million in loans and $137 million in securities is 0.226 or 22.6%.

Learn more about required reserve ratio from here brainly.com/question/9390001

#SPJ1

Isabel made $176 for 8 hours at work At the same rate, how many hours would she have to work to make 374

Answers

Answer:

17 hours

Step-by-step explanation:

We first want to figure out how much money shes making per hour.

We can simply divide 176 by 8 getting us 22

Since we know she makes 22 dollars an hour we can divide 374 by 22 getting us 17.

Now we know it would take 17 hours to make 374 dollars

If you want to double check you can simply multiply 17 by 22 which would get you 374

Answer: 17 hours

Step-by-step explanation

Two balls are drawn in succession out of a box containing red and white balls. Find the probability that at least 1 ball was red, given that the first ball was replaced before the second draw. Not replaced before the second draw.

Answers

The probability that at least 1 ball was red, given that the first ball was replaced before the second draw is 28.5%; and the probability that at least 1 ball was red, given that the first ball was not replaced before the second draw is 22.5%.

What is probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.

To find the probability that at least 1 ball was red, given that the first ball was replaced before the second draw. Not replaced before the second draw:

2 + 5 = X7 = X(2/7 + 2/7) /2 = X(0.285 + 0.285) /2 = X0.285 = X(2/7 + 1/6 ) /2 = X(0.28 + 0.16) /2 = X0.451/2 = X0.225 = X

Therefore, the probability that at least 1 ball was red, given that the first ball was replaced before the second draw is 28.5%; and the probability that at least 1 ball was red, given that the first ball was not replaced before the second draw is 22.5%.

Know more about probability here:

https://brainly.com/question/251701

#SPJ4

The complete question is given below:

Two balls are drawn in succession out of a box containing 2 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was (Upper A )Replaced before the second draw. (Upper B )Not replaced before the second draw.

each side of a 4ft x 6ft rectangular flower bed was lengthened by the same amount. the area of the new flower bed is twice the area of the old one. Find the new dimensions.

Answers

The new dimensions of the flower bed are 4√2 and 6√2

How to determine the new dimensions?

The dimensions of the initial rectangular flower bed are given as:

Length = 4ft

Width = 6 ft

The area of the new flower bed is twice the area of the old one.

This means that

New Area = Old Area * 2

Substitute the dimensions of the old area in the above equation

New Area = 4 * 6 * 2

Express 2 as √2 * √2

This gives

New Area = 4 * 6 * √2 * √2

Rewrite the above equation as:

New Area = 4√2 * 6√2

The area of a rectangle is

Area = Length * Width

This means that:

Length = 4√2 ft

Width = 6√2 ft

Hence, the new dimensions of the flower bed are 4√2 and 6√2

Answers

Answer:

Height = 6m

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] × 36 = 12

72 ÷ 12 = 6

A boy has 800 he spends 160 what fraction of his original money does he have left

Answers

Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

Learn more about fraction

brainly.com/question/10354322

#SPJ4

what is the equation of a line that has a slope of .8 and passes through the point (-3,1)

Answers

Answer:

y = 0.8x + 3.4

Step-by-step explanation:

Substituting into point-slope form and converting to slope-intercept form,

[tex]y-1=0.8(x+3) \\ \\ y-1=0.8x+2.4 \\ \\ y=0.8x+3.4[/tex]

Need help with my math please. 31-41.

Answers

Step-by-step explanation:

31) the answer is (98765x9) +3=888888

why if u look at the equation is descending and if u verify the cinjecture u will find out is correct

41)½+¼+⅛+1/16+1/32=1-1/32

just d same reason with (31)

You are playing a game with three cards. At the start, all three cards are face down. You know that a different real number is written on every card, but you do not know what the numbers are. The rules of the game are as follows: You can choose any card and turn it over (assuming that you have not already turned it over). You can either keep the card, or discard it. If you discard a card, then you cannot go back to it; you must choose a new card. If the card you have kept has the largest real number on it, then you win the game. If you use the optimal strategy, then what is the probability that you win the game

Answers

concluding, the idea is discarding cards until we get,at least, a 6, in that case, the smallest probability of winning the game is 0.59, which is more than in half of the cases.

How to find the probability?

Now, we know that there are 52 cards in a normal deck, if we only keep the ones with real numbers, there are 40.

These numbers go from 1 to 10.

5.5 is the average real number in the cards, so, having a 6 or more in a card is what we expect.

This means that if the card that we turn up is smaller than 6, we discard it.

If the card has the value 6 or larger, we keep it.

In this case, the probability of losing is if one of the other cards has a value larger than 6.

The probability that a random card has a value larger than 6 is:

p = (number of cards with a value larger than 6)/(total number of cards)

p = (16/39)

(The quotient is 39 instead of 40, because we already know one of the cards)

This means that if keep the 6, the probability of winning is:

1 - 16/39 = 0.59

If instead, we got a 7, obviously we keep it, in that case the probability of winning is:

1 - 12/39 = 0.69

And so on, concluding, the idea is discarding cards until we get,at least, a 6, in that case, the smallest probability of winning the game is 0.59, which is more than in half of the cases.

if you want to learn more about probability:

https://brainly.com/question/25870256

#SPJ1

Please answer the one this exercises if you can send photos sent it pls and you have to use quadratic function for these Thanks

Answers

The expression of the equation will be:

x² - 8x = x(x - 8)

x² - 10x = x(x - 10)

x² - 5x = x(x - 5)

x² - 3x = x(x - 3)

How to compute the equation?

It should be noted that an equation simply means the expression of the variables that are given.

In this case, the following can be represented:

x² - 8x = x(x - 8)

x² - 10x = x(x - 10)

x² - 5x = x(x - 5)

x² - 3x = x(x - 3)

This is illustrated above.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

David reflects the word 'MOM' over the y-axis and notices
that is still reads the same. Is the same true for the word
'DAD'? Use letter symmetry to explain why or why not.

Answers

The reflection of the word DAD across the y-axis is not the same

How to determine the true statement?

The statement is given as:

MOM, when reflected over the y-axis = MOM

The above is true because the letters M and O have reflectional symmetry across the y-axis

However, the letter D do not have a reflectional symmetry across the y-axis

So, the letters would not remain the same when reflected

Hence, the reflection of the word DAD across the y-axis is not the same

Read more about reflectional symmetry at

https://brainly.com/question/12172941

#SPJ1

Pls help as soon as possible

Answers

Answer:

Step-by-step explanation:

6*6 = 36

36/3 = 12

Answer:

Step-by-step explanation:

Given expression:

[tex]\dfrac{1}{3}x^2[/tex]

To evaluate the given expression for x = 6, substitute x = 6 into the expression and simplify:

[tex]\begin{aligned}x=6 \implies \dfrac{1}{3}(6)^2 & = \dfrac{1}{3}(6 \cdot 6)\\\\& = \dfrac{1}{3}(36)\\\\& = \dfrac{36}{3}\\\\& = \dfrac{3 \cdot 12}{3}\\\\& = \dfrac{\diagup\!\!\!\!3 \cdot 12}{\diagup\!\!\!\!3}\\\\& = 12\end{aligned}[/tex]

Sasha solved an equation, as shown below:

Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48

Part A: Is Sasha's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions does this equation have? (4 points)

I know part A, but what about Part B?

Answers

Part A: Sasha's solution of the equation incorrect. The solution x = 7.

Part B: The equation have They are unique solutions.

According to the question,

Sasha solved an equation, as shown below:

Step 1: 8x = 56

Step 2: x = 56 – 8

Step 3: x = 48

Step 2 is incorrect, the correct steps to find x, we would divide both sides by 8 so,

8 / 8x = 8 / 56

x = 7.

An equation can have infinitely many solutions only if the system of an equation has infinitely many solutions when the two lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line. Then the have infinitely many solutions.

But, the given equation have unique solutions. Thus, x=7.

Hence, Part A: Sasha's solution incorrect. The solution x = 7.

Part B: They are unique solutions solutions.

Learn more about solution of the equation here

https://brainly.com/question/12764572

#SPJ1

summer hw still hurts

Answers

[4] Answer: (-4, 1)

[5] Answer: Infinite solutions

See attached for the graphs.

Step-by-step explanation:

The solution to a system of equations, when graphing, is the point of intersection. In other words, the point at which the lines intersect each other.

In the case of problem 5, the equations are equal so they overlap. This means there are infinite solutions.

A town is mapped on a coordinate grid. The library is located at point (-3, 9) and the museum is located at
point (8, 2).
Where is the midpoint of the line segment whose endpoints are the library and the museum?
O (-5.5, 5.5)
O (-5.5, 3.5)
O (2.5, 3.5)
O (2.5, 5.5)

Answers

Applying the Midpoint Formula, the midpoint of the line segment whose endpoints are the library and the museum is calculated as: D. (2.5, 5.5).

What is the Midpoint Formula?

To find the coordinates of the midpoint between two endpoints on a coordinate plane, the midpoint formula that is used is expressed as: M[(x2 + x1)/2, (y2 + y1)/2].

Given the following coordinates:

The library is located at point (-3, 9)

The museum is located at point (8, 2), therefore, let:

(-3, 9) = (x1, y1)

(8, 2) = (x2, y2)

Midpoint = M(x, y)

Substitute the values into M[(x2 + x1)/2, (y2 + y1)/2]:

M(x, y) = [(8 + (-3))/2, (2 + 9)/2]

M(x, y) = (5/2, 11/2)

M(x, y) = (2.5, 5.5)

Thus, the midpoint of the line segment whose endpoints are the library and the museum is calculated as: D. (2.5, 5.5).

Learn more about the Midpoint Formula on:

https://brainly.com/question/13115533

#SPJ1

Answer:

Its D (2.5, 5.5) On Edg 2022-23

Step-by-step explanation:

Hope This Helps:))

Solve eight and three fifths minus two and four ninths.

Answers

Answer:

6.15555555556

Step-by-step explanation:

the 5 is infinite in 6.15 such as 6.155555555 it does not stop

A straight line passes through the points (1,3) and (2,2). What is the x-intercept of this line?

Answers

Answer:

x-int: (4, 0)

Step-by-step explanation:

First, we need to find the equation of the line.

The equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

Thus, we need to find the slope first by using the slope formula:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\[/tex] or change in y / change in x

So we have: [tex]\frac{3-2}{1-2}=\frac{1}{-1}=-1=m[/tex]

We must plug in the slope to find the y-intercept:

[tex]3=-1(1)+b\\3=-1+b\\4=b[/tex]

So the equation of the line is y = -x + 4

The x-intercept means that the y coordinate is 0 so we can use the equation:

[tex]0=-x+4\\-4=-x\\4=x[/tex]

Find the nth taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 5

Answers

The nth taylor polynomial for the given function is

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Given:

f(x) = ln(x)

n = 4

c = 3

nth Taylor polynomial for the function, centered at c

The Taylor series for f(x) = ln x centered at 5 is:

[tex]P_{n}(x)=f(c)+\frac{f^{'} (c)}{1!}(x-c)+ \frac{f^{''} (c)}{2!}(x-c)^{2} +\frac{f^{'''} (c)}{3!}(x-c)^{3}+.....+\frac{f^{n} (c)}{n!}(x-c)^{n}[/tex]

Since, c = 5 so,

[tex]P_{4}(x)=f(5)+\frac{f^{'} (5)}{1!}(x-5)+ \frac{f^{''} (5)}{2!}(x-5)^{2} +\frac{f^{'''} (5)}{3!}(x-5)^{3}+.....+\frac{f^{n} (5)}{n!}(x-5)^{n}[/tex]

Now

f(5) = ln 5

f'(x) = 1/x ⇒ f'(5) = 1/5

f''(x) = -1/x² ⇒ f''(5) = -1/5² = -1/25

f'''(x) = 2/x³ ⇒ f'''(5) = 2/5³ = 2/125

f''''(x) = -6/x⁴ ⇒ f (5) = -6/5⁴ = -6/625

So Taylor polynomial for n = 4 is:

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Hence,

The nth taylor polynomial for the given function is

P₄(x) = ln5 + 1/5 (x-5) - 1/25*2! (x-5)² + 2/125*3! (x-5)³ - 6/625*4! (x - 5)⁴

Find out more information about nth taylor polynomial here

https://brainly.com/question/28196765

#SPJ4

find the missing length 25 and 65

Answers

Answer: 60.

Step-by-step explanation:

Let in a right triangle one of the legs is 25, and the hypotenuse is 65.

Hence, the other leg is: [tex]\sqrt{65^2-25^2}=\sqrt{4225-625}=\sqrt{3600}=60.[/tex]

The answer is 5 hope that helps I think

The data set below has a lower quartile of 13 and an upper quartile of 37.

1, 12, 13, 15, 18, 20, 35, 37, 40, 78

Which statement is true about any outliers of the data set?

Answers

The dataset 78 is an outlier of the dataset

How to determine the true statement about the outlier?

The dataset is given as:

1, 12, 13, 15, 18, 20, 35, 37, 40, 78

Where

Q1 = 13

Q3 = 37

The boundaries of the outliers are given as:

L = Q1 - 1.5 * (Q3 - Q1)

U = Q3 + 1.5 * (Q3 - Q1)

Substitute the known values in the above equation

L = 13 - 1.5 * (37 - 13) = -23

U = 37 + 1.5 * (37 - 13) = 73

This means that the data elements outside the range -23 to 73 are outliers.

78 is outside this range

Hence, 78 is an outlier of the dataset

Answers

Answer:

3, 7, 14

Step-by-step explanation:

Find the unit price of 70lbs of honey for $123.99. round your answer to nearest cent if necessary

Answers

Answer:

$1.77 per pound

Step-by-step explanation:

To find the unit price we divide the cost over the weight: 123.99/70 = 1.77128571 = 1.77

Find the 45th term of the arithmetic sequence an = 2 + 4(n − 1).
145
182
178
264

Answers

The 45th term of the arithmetic sequence is 178. Option C

How to determine the term

Given the arithmetic sequence formula as;

an = 2 + 4(n − 1)

we have n = 45

Let's substitute the value of 'n' into the formula;

a = 2 + 4( 45 - 1)

expand the bracket

a = 2 + 4(44)

a = 2 + 176

a = 178

The 45th term is 178

Thus, the 45th term of the arithmetic sequence is 178. Option C

Learn more about arithmetic sequence here:

https://brainly.com/question/6561461

#SPJ1

Question 11(Multiple Choice)
(05.06 MC)
Using the graph of the function g(x) = log3 (x-4), what are the x-intercept and asymptote of g(x)?

The x-intercept is 3, and the asymptote is located at x = 4.
The x-intercept is 5, and the asymptote is located at x = 4.
The x-intercept is 4, and the asymptote is located at y = 5.
The x-intercept is 5, and the asymptote is located at y = 3.

Answers

The x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively

How to determine the x-intercept and asymptote of g(x)?

The equation of the function is given as:

g(x) = log3 (x - 4)

Set the function to 0, to determine the x-intercept

log3 (x - 4) = 0

Express the function as an exponential function

x - 4 = 3^0

Evaluate the exponent

x - 4 = 1

Add 4 to both sides

x = 5

Set the radical to 0, to determine the asymptote

x - 4 = 0

Add 4 to both sides

x = 4

Hence, the x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively

Read more about x-intercept and asymptote at

https://brainly.com/question/3951754

#SPJ1

Put the following equation in standard form and determine the quadratic, linear, and constant coefficients. -3x2 - 8 = 5x - 7

Answers

Answer:

-3x² -5x -1 = 0-3 (quadratic)-5 (linear)-1 (constant)

Step-by-step explanation:

The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.

Standard form

We can subtract the right-side expression from both sides to get standard form.

-3x² -8 -(5x -7) = 5x -7 -(5x -7)

-3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

-3x² -5x -1 = 0 . . . . . . . . . collect terms

The standard form equation can be written ...

-3x² -5x -1 = 0

Coefficients

The quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.

The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.

The constant coefficient is the coefficient of the term with no variables. The constant is -1.

Additional comment

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

3x² +5x +1 = 0

with quadratic, linear, and constant coefficients 3, 5, 1.

This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.

Quick algebra 1 question for 25 points!

Only answer if you know the answer, Tysm!

Answers

Answer:

d. 9

Step-by-step explanation:

y= 0.22x^2 - 1.76x +4.75

x is the time in months so we should replace x by 10

y = 0.22 (10)^2 - 1.76(10) + 4.75

0.22 (100) - 17.6 + 4.75

22 - 17.6 + 4.75

9.15

So the number of laptops that will be sold during month 10 is 9. (you can't have 0.15 of a computer)

Answer:

d. 9

Step-by-step explanation:

The equation: y = 0.22x^2 - 1.76x + 4.75

x: Time in months

y: Number of laptops sold

Since we need to predict the number of laptops that will be sold during month 10, we can replace the x with 10.

The new equation will be: y = 22 - 17.6 + 4.75

Then y will be 9.15

Since there cannot be 0.15 of a laptop, we round the number 9.15 to a whole number, which is 9.

D) 9 is our final answer to this question.

A car is known to be 88% likely to pass inspection at a certain motor vehicle agency inspection office. what is the probability that at least 90 cars pass inspection if a random sample of 100 cars is taken at this motor vehicle agency inspection office?

Answers

Using the normal distribution, there is a 0.3228 = 32.28% probability that at least 90 cars pass inspection.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

The parameters for the binomial distribution are given by:

n = 100, p = 0.88.

Hence the mean and the standard deviation for the approximation are:

[tex]\mu = np = 100 \times 0.88 = 88[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{100 \times 0.88 \times 0.12} = 3.25[/tex]

The probability that at least 90 cars pass inspection, using continuity correction, is P(X > 89.5), which is one subtracted by the p-value of Z when X = 89.5, hence:

Z = (89.5 - 88)/3.25

Z = 0.46

Z = 0.46 has a p-value of 0.6772.

1 - 0.6772 = 0.3228.

0.3228 = 32.28% probability that at least 90 cars pass inspection.

More can be learned about the normal distribution at https://brainly.com/question/15181104

#SPJ1

Please help!!!!! Please explain too, I want to understand it!

Answers

can you send a better picture so I can understand it

Which function represents the following graph?
X

Answers

The last one because the other ones only go to the positive side and not the negative too since the cube root

[tex]\frac{12}{20}=[/tex] ____% = ____ hundredths

Answers

The equivalent numbers of 12/20 are 60% and 0.60

How to convert the fraction?

The fraction expression is given as:

12/20

Multiply the fraction expression by 100%

So, the expression becomes

12/20 * 100%

Evaluate the product

60%

Express as fraction, again

60/100

Evaluate the quotient

0.60

Hence, the equivalent numbers of 12/20 are 60% and 0.60

Which must be true by the corresponding angles theorem? 041 = 27 42 = 26 23 45 25= 27

Answers

Related Questions

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Answers

Which must be true by the corresponding angles
theorem?
041 = 27
42 = 26
23 45
25= 27