Find the value of x that makes m ∥ n

hypotenuse = c

c^2 = 3.4^2 + 2.6^2

c^2 = 11.56 + 6.76

c^2 = 18.32

c = sqrt(18.32) = 4.28

rounded to nearest tenth = 4.3

Answer: Once you put the numbers in order and find the median do the same process that you did to find the median to the left and right side of the median. Once you find the " median " of the left and right sides ( which are called the 1st and 3rd Quartiles ) You will subtract the 1st quartile from the 3rd Quartile and that will give you the IQR.

Step-by-step explanation:

Answer:

Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

What did you include in your response? Check all that apply.

The dot plot or histogram will be skewed.

The mean is pulled up or down toward the tail.

The mean is affected more than the median.

regular earnings  + overtime = 421.00 + 78.00 = 499.00

add all the deductions: 29.59 + 30.75 + 18.30 + 25.00 + 7.50 + 5.00 = 116.14

subtract deductions from pay:

499.00 - 116.14 = 382.86

 Answer is B $382.86

City A = x

City B = y

1st equation: 4x-8 =3y

 2nd equation: x-2y = -3 , rewrite as x = 2y-3

replace x in eq. 1 with equation 2

4(2y-3) -8 =3y

8y-12-8=3y

8y-20 = 3y

-20 = -5y

y = -20/-5 = 4

x = 2y-3 = 2(4)-3 = 5

City A was 5° C, and City B was 4° C. 

Answer:

45 degrees Fahrenheit = 7.3 Celsius

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is given by :

[tex]F=\dfrac{9}{5}C+32[/tex]

In this case, it is required to convert degree Fahrenheit to Celsius. It can be simply done by putting the value of F = 45 degrees Fahrenheit to Celsius. So,

[tex]C=\dfrac{(F-32)5}{9}[/tex]

[tex]C=\dfrac{(45-32)5}{9}[/tex]

C = 7.222

or

T = 7.3 Celsius

So, 45 degrees Fahrenheit is equal to 7.3 Celsius. Hence, this is the required solution.

Answer:

Vivian should start working by 10.25 am.

Step-by-step explanation:

Time taken to mow the lawn = 1 hour and 10 minutes

Time to trim bushes = 30 minutes

Time for putting down mulch = 35 minutes

Time to get dressed = 20 minutes.

Total time = 1 hour + (10+30+35+20) minutes

= 1 hour + 95 minutes

= 1 hour + (60+35) minutes

= 1 hour + 1 hour + 35 minutes

= 2 hours 35 minutes.

This means Vivian should start working 2 hours 35 minutes before 1:00 pm.

So, it becomes ; 10:25 am.

Answer:

D. 3, 4, 5

Step-by-step explanation:

Pythagorean theorem : [tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

If the given options satisfy the theorem .So, they form a Pythagorean triple.

Hypotenuse is the longest Side

A)7, 8, 9

Hypotenuse = 9

[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

[tex]9^2 = 7^2+8^2[/tex]

[tex]81 = 49+64[/tex]

[tex]81 \neq 113[/tex]

Hence not a Pythagorean triple.

B)1,2,3

Hypotenuse = 3

[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

[tex]3^2 = 2^2+1^2[/tex]

[tex]9 = 4+1[/tex]

[tex]9 \neq 5[/tex]

Hence not a Pythagorean triple.

C) 4,5,6

Hypotenuse = 6

[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

[tex]6^2 = 3^2+4^2[/tex]

[tex]36 = 9+16[/tex]

[tex]36 \neq 25[/tex]

Hence not a Pythagorean triple.

D)3,4,5

Hypotenuse = 5

[tex]Hypotenuse^2 = Perpendicular^2+Base^2[/tex]

[tex]5^2 = 3^2+4^2[/tex]

[tex]25 = 9+16[/tex]

[tex]25 = 25[/tex]

Hence a Pythagorean triple.

Hence Option D represents side lengths that form a Pythagorean triple

Answer:

it is D 3,4,5

In order to maximize the volume of the file, it should be 2 inches high. This is calculated using the optimization principle in calculus applied to the volume formula of a rectangular prism.

This problem involves optimizing the volume of a vertically filed object, which is a common theme in calculus. The file is being formed from a rectangular sheet of plastic that is 8 inches by 10 inches by bending it to form a U-shape.

The volume of a rectangular prism (which is what the file will essentially be) is given by the formula length x width x height. In this case, the length will always be 10 inches because it's the undisturbed dimension. The 8-inch side will be divided into a height part and a width part once we bend it into a U shape. Since we don't know a priori what the height is yet, let's call it x. This means the width will then be 8 - 2x (since we lose x from each side to form the height).

Our volume function V becomes: V(x) = length x width x height = 10(8-2x)x. To maximize this volume, you want to take the derivative V'(x), set it to 0 and then solve for x. Taking the derivative will give you V'(x) = 10(8-4x), and setting it to 0 and solving gives you x = 2 inches. So, the file should be 2 inches high to maximize the volume it can hold.

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The 5 employees work per day is [tex]31\frac{1}{3}[/tex].

A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.

These essential numerical tasks (+, - , ×, and ÷) we use in our regular day to day existence. Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.

Given total employees in flower shop = 5

each employee work [tex]6\frac{4}{15}[/tex] hours per day

[tex]6\frac{4}{15}[/tex] can be solved as = 6 + 4/15 = 94/15

total work time of 5 employees can be calculated by

94/15 + 94/15 + 94/15 + 94/15 + 94/15 = 470/15 = 94/3

or 5 x 94/15 = 94/3

dividing 94 by 3  we get [tex]31\frac{1}{3}[/tex] in mixed fraction.

Hence the total work 5 employees do in a day is [tex]31\frac{1}{3}[/tex].

Learn more about arithmetic operations;

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Answer:

1. -9/14

2.  6/49

3. number 4

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

We are given that an expression

[tex]\frac{5}{6}-(\frac{1}{8}\div\frac{3}{4})[/tex]

We have to find the value of expression.

[tex]\frac{5}{6}-(\frac{1}{8}\div\frac{3}{4})[/tex]

When we change divide into multiply then the term will be reciprocal.

By using this property

[tex]\frac{5}{6}-(\frac{1}{8}\times \frac{4}{3})[/tex]

[tex]\frac{5}{6}-\frac{1}{6}[/tex]

By simplification

[tex]\frac{5-1}{6}[/tex]

By simplification

[tex]\frac{4}{6}[/tex]

By using subtraction property of integers

[tex]\frac{2}{3}[/tex]

Hence, the value of given expression =[tex]\frac{2}{3}[/tex]

Answer: ∠X

Step-by-step explanation:

If ΔABC is congruent to ΔXYZ then their corresponding parts must be congruent by CPCTC.

To find the corresponding angle to ∠A, just check the position of A in the name of ΔABC,

A is the first letter in the name of ΔABC, thus the angle corresponding to  ∠A is ∠X.

Answer:

The function for the given description is y = ln (x + 1) - 0.098 .

Step-by-step explanation:

As you can see in the problem the asymptote is x = -1. This means that the function is not defined for x= -1 and as you know, natural logarithm is not defined for zero. So, it implies that when x tends to -1 the function tends to infinite. So it must be a number adding to x that makes -1 + b = 0 ⇒ b= 1.

Then, you have y = ln (x + 1). If you check, when you replace the point given in the problem (2,1), you find that y = ln (2 + 1) ⇒ y = ln(3) ⇒ y = 1.098, so you can introduce a correction factor ⇒ y = ln (x + 1) - 0.098.

Summarizing, the function decribed before can be y = ln (x + 1) - 0.098.

Final answer:

With the imposition of a $30 tax on dog sitting, Rebecca and Susan would both be worse off by the combined surplus of $25 they initially had without the tax, as the tax exceeds the surplus and disrupts the transaction.

Explanation:

The question involves the impact of a tax on a market transaction between Rebecca and Susan, who had initially agreed upon a price for dog sitting. Initially, without the tax, the surplus for Rebecca would be the difference between what she values the service at ($200) and the agreed price ($185), which is $15. For Susan, the surplus is the difference between the agreed price ($185) and her minimum acceptable price ($175), which is $10. This results in a combined surplus of $25. When a $30 tax is imposed, it is likely that they will share the burden of the tax, but without specifics on how the tax is divided, we will consider it fully affects either party. If the full tax falls on Susan, she would receive $155 ($185 - $30), which is less than her minimum price of $175; thus, she would no longer agree to dog sit. If Rebecca bears the entire tax, she would effectively be paying $215 ($185 + $30), which is more than her valuation of $200, and she would not agree to the transaction. Regardless, the transaction would not occur due to the tax, making both parties worse off by the surplus they would have gained, which is the combined $25.

To find the total number of sheep in the flock where 2 out of 5 are white and there are 8 more black than white sheep, we set up a ratio and solve for the number of white sheep (W), which is 16. We then determine the number of black sheep (B) to be 24, leading to a total of 40 sheep.

The subject of the question is mathematics, and it appears to be at the middle school level. The task involves determining the total number of sheep given that 2 out of 5 are white and there are 8 more black sheep than white. Let's define the variables: W for white sheep and B for black sheep. From the statement, we have the ratios W/B = 2/3 because for every 2 white sheep, there are 3 black sheep which are proportionally 5 sheep in total (2+3=5), and we have the relationship B = W + 8 because there are 8 more black than white sheep. Using these equations, we can solve for W and B.

Therefore, the total number of sheep in the flock is 40.

Answer:

The answer is 1

Answer:

its a icolaleas

Step-by-step explanation:

Answer:

The answer/measure is 45 degress.

Step-by-step explanation:

The measure of  ∠DAE is 45°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In the given figure let's say angle FAE = x than

x = 180 - 134 = 46 degree

Now by line CAF angle  ∠DAE = 180 - ( 89 + 46 ) = 45° hence it will be correct answer.

For more about the angle

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it's (0, 0) and (-2, 0) so A & C

Answer: A, C

Step-by-step explanation:

Hope this helps!!

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Number of members in the easton west high school marching = 52

Number of members in the weston high school marching = 65

We need to find the number of rows so that each row has the same number of players.

For this we will do L.C.M. of 52 and 65.

So, L.C.M. of 52 and 65 = 13

Hence, there are 13 rows in all.

Therefore, Option 'B' is correct.