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Answer:-3 < x < 0

Step-by-step explanation:

The missing statement and reason to complete the given proof of parallelogram is Option A.

What is a parallelogram?

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of a polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees.

Given, NL is a diagonal of parallelogram KLMN

Since KL || NM and LN is transversal

That implies, ∠KLN ≅∠MNL by alternate interior angles theorem

Again, KN || LM  and NL is transversal

That implies, ∠LNK ≅ ∠NLM by alternate interior angles theorem

Hence, Option A is the correct answer.

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Answer:

B.

∠KLN ≅ ∠MLN, and ∠KNL ≅ ∠MNL

by the alternate interior angles theorem

Step-by-step explanation:

The interest rate, to the nearest tenth of a percent, would be required in order for Jaya to end up with $10,900 is 3 %.

To calculate the future value, we need to use the following formula on each investment:

FV = PV  e^(it),

where FV =Future value, PV=Present Value, e =Euler’s number, i =nominal rate per year, t =Number of years.

Given that Jaya is going to invest $8,000 and leave it in an account for 6 years.

FV =PV * e^(i*t),

P = $8,000

t= 6 years

FV = 10,900

10,900 =8,000 e^(i*6)

i = 3%,

Thus, the interest rate, would be required for Jaya to end up with $10,900 is 3 %.

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Answer: $91017.17865 / 12 = $7585.5987

Step-by-step explanation:

To solve this problem, we need to first determine the total interest that will be earned on the account over the 5-year period. We can do this by using the formula for compound interest, which is:

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

where A is the total amount of money in the account after the interest has been compounded, P is the initial deposit, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years the money is deposited.

In this case, the initial deposit is $10,000, the interest rate is 2.05%, the number of times the interest is compounded per year is 12 (because the interest is compounded monthly), and the number of years the money is deposited is 5. Plugging these values into the formula, we get:

A = 10000 (1 + 0.0205 / 12) ^ (12 * 5)

A = 10000 (1.001708333) ^ 60

A = 10000 (1.101717865)

A = 101017.17865

Therefore, the total amount of money in the account after 5 years will be $101017.17865.

Since Monica wants to save up $10,000, we can subtract this amount from the total amount in the account to find out how much she needs to deposit each month in order to reach her goal:

101017.17865 - 10000 = 91017.17865

Therefore, Monica needs to deposit $91017.17865 each month in order to save up $10,000 in 5 years. This means that she will need to deposit $91017.17865 / 12 = $7585.5987 per month in order to reach her goal.

The past verb of the word split is to divide any number or a group into smaller or subgroups.

Explanation:

The past verb of the word split is :

Therefore, the past verb of the word split is given to divide a number or any group into smaller parts or subgroups.

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The required equation is $650 / 17.50 = 37$ to determine the number of months and the solution to the equation is 37.

To determine the number of months it will take Erik to save the $650, we need to find out how many $17.50 increments are in $650. We can do this by dividing $650 by $17.50. This gives us 37.142. Since Erik can only save in whole dollar amounts, we can round this number down to 37.

Thus, the equation we are looking for is $650 / 17.50 = 37$, where the left side of the equation represents the total amount of money Erik wants to save, divided by the amount of money Erik saves each month. The right side of the equation represents the number of months it will take Erik to save the $650.

Therefore, we can fill in the blanks as follows:

Blank 1: $650 / 17.50 = 37$

Blank 2: 37

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Functions are expressions, rules, or laws that specify the relationship between an independent variable and a dependent variable

Given,

A function;

An expression, rule, or regulation that establishes the connection between an independent variable and a dependent variable is known as a function (the dependent variable).

A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).

Examples for function are;

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Over the two days, the group traveled an average speed of 2.79 miles per hour.

Given:

during the first leg of a backpacking trip, a group of hikers covered 10.4 miles in 3 hours and 1 minute.

he next day, the group hiked 8.6 miles in 3 hours and 47 minutes.

we are asked to find the group's average speed over the two days = ?

average speed = total distance / total time

total distance =  10.4 + 8.6 mi = 19 miles

total time =  ( 181 + 227 min ) = 408 min

hence average speed = ( 10.4 + 8.6 mi) / ( ( 181 + 227 min )/60 min/hr) =2.79 mi/hr

Hence we get the average speed as 2.79 miles/hour.

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Given the proportional relationship between the time  Whitney spends babysitting (in hours), x, and the amount of money she earns babysitting (in dollars), y, she needs to babysit for 2 hours to earn $12.

A proportional relationship refers to the relationship between two or more values with equal ratios.

Proportions are relative values or ratios, depicted in fractions, percentages, or decimals.

Equation, y = 6x

Where y = the amount of money Whitney earns babysitting (in dollars)

And x = the hours of babysitting

If y = $12, the number of hours that Whitney needs to babysit is 2 hours ($12/$6)

y = 6x

6x = y

x = y ÷ 6

x = 12 ÷ 6

x = 2

Check:

12 = 6x

12 = 6(2)

12 = 12

Thus, based on the equation modeling the proportional relationship, Whitney should work 2 hours.

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y. The equation that models this relationship is y = 6x. How long does Whitney need to babysit to earn $12? Write your answer as a whole number or decimal.

Answer:

Pick at least four pennies to be sure of getting at least four pennies from the same year.

Step-by-step explanation:

To be sure of getting at least four pennies from the same year, you would need to pick at least four 1967 pennies, four 1968 pennies, or four 1971 pennies. Since these are the three smallest groups of pennies, you would need to pick at least four pennies to be sure of getting at least four pennies from the same year.

The ven diagram from set theory must be used to determine the highest value and minimum value in a set.

We're using this as an illustration.

Let A and B represent two sets with 4 and 7 items, respectively. The maximum number of elements that A and B can have is then written.

So let's assume:

A's element count is equal to n. (A).

B's element count is equal to n. (B).

The sum of the elements of A and B is n (A and B).

Now, here is the equation for the components of A U B:

n(A∪B)=n(A)+n(B)−n(A∩B)

The answer to the question states that set A's element count is four, whereas set B's element count is seven. We can thus write:

The number of elements that are included in both sets A and B is represented by the numbers n (A) = 4 and n (B) = 7.

The maximum number of elements in n(A,B) must be determined. Therefore, when n(AB) is smallest and when n(AB) is zero, n(AB) is at its maximum.

n(A∪B)=n(A)+n(B)−n(A∩B)⇒n(A∪B)=4+7−0⇒n(A∪B)=11

Hence, the maximum number of elements in A∪B is 11.

You might be asking why n (AB) must be minimized in order to be maximized, and why the minimal value of n (AB) is 0.

In the formula for n (A∪B),

n(A∪B)=n(A)+n(B)−n(A∩B)

L.H.S will be maximized when in the R.H.S; the term after minus sign will be minimized. Hence, n (A∩B) must be minimized.

The fact that n (AB) can take on any value less than 0 indicates that there are no elements in sets A or B that are shared by both sets. Furthermore, it's possible that the two sets we have don't share any elements.

When no elements is common in both the sets, the n (A∩B) is ∅.

The set which has no element in it is called a null set or an empty set.

By this we can find maximum value in a set.

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The inequality represents a number no more than 5 is n < 5.

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

We have to find which inequality represents a number no more than 5.

Consider, the first inequality n ≤ 5.

This inequality contain 5 and less numbers.

Consider the second inequality n ≥ 25

This inequality contain numbers 5 and more

For n > 5  

This inequality contain numbers more than 5.

For n < 5

This inequality does not contain number more than 5.

Hence, the inequality represents a number no more than 5 is n < 5.

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Answer:

M=5

Step-by-step explanation:

Use the slope formula to find the slope

Answer: 3.1, 1, -0.5, -2.85, -3.04

Step-by-step explanation:

Answer: 3.1, 1, -0.5, -2.85, -3.04

Step-by-step explanation:

The reason it is like this is because 3.1 is greater than the negative numbers and 1 so that would put it in first.

The second would be 1 because it is greater than all of the negative numbers.

The third would be -0.5 because it is greater than the other negative numbers.

The fourth would be -2.85 because it is greater than the last negative number.

So the fifth number would be -3.04 because it is the last number there is.

Answer:

cant help if there's no question

Step-by-step explanation:

The missing side of the triangle is approximately 10.2 m. This solution assumes that the given sides form a right triangle.

To find the missing side of a triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

The formula for the Pythagorean theorem is:

a^2 + b^2 = c^2

where a and b are the lengths of the two sides of the triangle and c is the length of the hypotenuse.

The lengths of two sides of the triangle, 8.3 m and 5.9 m, and you need to find the length of the third side (the hypotenuse).

You can use the Pythagorean theorem to solve for the missing side as follows:

c^2 = a^2 + b^2

c^2 = 8.3^2 + 5.9^2

c = sqrt(8.3^2 + 5.9^2)

c = sqrt(69.29 + 34.81)

c = sqrt(104.1)

c = 10.2 m

Therefore, the missing side of the triangle is approximately 10.2 m.

This solution assumes that the given sides form a right triangle. If the triangle is not a right triangle, the Pythagorean theorem may not be applicable and a different method may be needed to find the missing side.

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In First Case Service fee is $0.95 , In Second Case The ticket price = $28 , In Third Case Ticket price = $45, Service Fee = $2.25

According to the given information

In First Case

We are given

The Ticket price is = $19

Service fee is 5% of ticket price

19 × 5% = 0.95

Service fee is $0.95

Total Cost including service fee is $19.95

In Second Case

We are given

Service fee = $1.4

The ticket price = 1.4 ÷ 5%

                          = $28

Total Cost including service fee is $29.4

In Third Case

Total Cost including service fee is $47.25

Ticket price = 47.25 ÷ ( 1 + 5% )

                    = $45

Service Fee = 45 × 5%

                    = $2.25

In First Case Service fee is $0.95 , In Second Case The ticket price = $28 , In Third Case Ticket price = $45, Service Fee = $2.25

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Emily can't get an A in the class, even if she gets an A on the last exam. This expectancy theory might explain.

Expectancy theory suggests that indivisuals are motivated to perform if they know that their extra performance is recognized and rewarded. Consequently companies using performance-based pay can expect improvements.

Expectancy theory explains the process of why someone chooses one behavior over another. In making this conclusion choice, there are three elements considered: expectancy, instrumentality and valence.

Expectancy is the belief that your effort will lead to better performance.

Instrumentality is the trust that if you perform well you will achieve the outcome you expect.

Valence is the how important you feel the outcome, and any related reward is to you personally.

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Based on the margin of error, an estimate of the total number of feral cat complaints for planet Purple is A. Between 1018.5 and 1361.5 complaints.

4,500 cities make up the entire population of planet Purple.

350 cities make up the random sample.

Average complaints are 3.4.

Error or margin = 0.49

[350 x (3.4 + 0.49)] Upper limit = 1,361.5

Lower limit: 1,081.5 (350 times (3.4 - 0.49).

As a result, Option A's estimated number of feral cat complaints floats above the error margin.

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The minimum sample size is 11 needed to be 90% confident that the sample mean is within 1 point of the true population mean.

What is the mean?

Given:

Standard deviation, σ = 2points

Confidence level = 90%

Sample mean, ε = 1 point

At 90% confidence level

1 - α = 0.90

α = 1 -0.90

α = 0.10

α/2 = 0.05

Zα / 2 = Z₀.₀₅

= 1.645

To find n

n = (Zα / 2 )*(σ)²

= (1.645)² * (2)² / (1)²

= (2.706) * 4

= 10.8241

n = 11

Hence, the minimum sample size is 11 needed to be 90% confident that the sample mean is within 1 point of the true population mean.

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Answer:

Class 1

Mean 78.83

Median 88

Mode 90

Class 2

Mean 79.42

Median 85.5

Mode 90

Class 3

Mean 79.42

Median 78

Mode 75 and 80

Answer:

y=6

Step-by-step explanation:

**THE ANSWER IS POSITIVE! WHAT I GOT WAS A NEGATIVE SINCE THE CLOSEST ANSWER WAS 6.**

Since 5 × -6 is -20, we would subtract that with the 10.

So, 10-5(-6) = -20.

*please let me know if this is correct or not!*

Answer:

the answer would be 17x

Step-by-step explanation:

Answer:

17x

Step-by-step explanation:

Simplify  2x times 7  to  14x= 14x+3x

17x

Answer: 108×1000×425 |

Step-by-step explanation:

Step 1: Speed of the train=108km/h

- Time taken=6hrs25mins

- =6+25/60=6+041=6.41hrs

Step 2: Distance =speed X time

- =108X08×1000×425

Hope this helps!

Answer:

(i)The train takes 0625 hours to travel from Town A to Town B.

(ii)The distance between Town A and Town B is 693 km.

Step-by-step explanation:

(i)

Leaving time of the Train from Town A= 0845 hours.

Arriving time of the Train at Town B= 1510 hours.

Thus, the total time taken by the train to travel from Town A to Town B is:-

=> Arrival time at Town B - Departure time from Town B = (0845-1510)hours

                                                                                             = 0625 hours.

Therefore, the total time taken by the train to travel from Town A to Town B is 0625 hours.

(ii)

   The average speed of the train is 108 km/h.

   The total time taken by the train is 0625 hours, which can also be

expressed as

6 5/12 hours,

    We know that,

=> Distance = Speed X Time                 [Speed-Distance formulae]

                    = 108 X 6 5/12 => 693 km.

Therefore, the distance between Town A and Town B is 693 km.

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Answer:

6+15t

Step-by-step explanation:

3(2+5t)

3(2)+3(5t)

6+3(5t)

6+15t

Answer:

A

Step-by-step explanation:

16 / a = x (+ r)

16 is the dividend

a is the divisor

x is the quotient

(r is the remainder, if the division is an integer division)

the smaller the divisor, the larger the quotient, of course. and vice versa.

remember, a division is the calculation how often the divisor fits into the dividend.

therefore, the smaller the divisor, the more often it fits into the dividend.

the quotient must be greater than 4. so, 4 itself is not a valid quotient for this problem.

but let's start with it :

16 / 4 = 4.

so, a = 4 (B) is not a valid solution.

to make the quotient larger (than 4), a must be smaller than 4.

the only valid solution is

A a = 2

except for C all other answer options are larger than 4 making the quotient smaller than 4.

and C is negative, which would make the quotient negative and therefore smaller than 4.

so, A is the only remaining valid answer.

16/2 = 8

perfect. the quotient (8) is larger than 4.

here this probally will help

Answer:

5, 3

Step-by-step explanation:

Domain and range of a square root graph is  [0, ∞) and  [0, ∞) respectively.

Domain of a function:

The domain of a function is the set of input values (x) for which it produces an output value.

Range of a function:

The set of all output values of a function.

Like if we consider a function [tex]y = f(x)[/tex]

then input inside function that is x is know as domain of function

output of function that is y is known as range of function.

First we write square root function as y = [tex]\sqrt{x}[/tex]

So inside root negative numbers are not allowed so value of x should be positive numbers  means x>=0.

So domain of square root function [0, ∞).

Output of square root function is always positive so range of square root function is also [0,∞).

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The total amount they will pay = $95.557

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.

Cost of meal = $75.99

tax amount = 6.75% of 75.99

                   = ( 6.75/100 ) * 75.99

                   = $5.129

Tip amount = 19% of 75.99

                   = (19/100)*75.99

                   =  $14.438

Total amount they will pay = $75.99 + $5.129 + $14.438 = $95.557

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Answer: The are of square 3 is 9cm

the area of square = a^2

= 3 ^2 = 9

Step-by-step explanation: