Analyze the diagram below and complete the instructions that follow. Solve for x. 9 10 36 60

To find the midpoint of segment MN, we can use the midpoint formula which states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints. Using this formula, we find that the midpoint of segment MN is (-1, 4).

To find the midpoint of the segment MN, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Let's calculate the x-coordinate of the midpoint:

x-coordinate = (x1 + x2) / 2 = (2 + (-4)) / 2 = -2 / 2 = -1.

Now, let's calculate the y-coordinate of the midpoint:

y-coordinate = (y1 + y2) / 2 = (5 + 3) / 2 = 8 / 2 = 4.

Therefore, the midpoint of segment MN is (-1, 4).

Final answer:

The midpoint of the segment MN with endpoints M(2,5) and N(-4,3) is (-1, 4).

Explanation:

To find the midpoint of a segment, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

For segment MN with endpoints M(2,5) and N(-4,3), we can calculate the x-coordinate of the midpoint by averaging the x-coordinates:

(2 + (-4)) / 2 = -1

And we can calculate the y-coordinate of the midpoint by averaging the y-coordinates:

(5 + 3) / 2 = 4

Therefore, the midpoint of segment MN is (-1, 4).

To find the number of milliseconds in a year, multiply the number of milliseconds in a day by the number of days in a year: 86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year.

To find the number of milliseconds in a year, we need to multiply the number of milliseconds in a day by the number of days in a year. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, there are 24 * 60 * 60 = 86,400 seconds in a day. And since there are 365 days in a year, we can calculate the number of milliseconds in a year as:

86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year

Final answer:

To find the number of terms in the arithmetic sequence 9, 2, −5, ..., −187, the formula for the nth term of an arithmetic sequence is used with the first term a1, common difference d, and the last term an. By solving an = a1 + (n - 1)*d for n, it is found that there are 29 terms in the sequence.

Explanation:

To determine how many terms are in the arithmetic sequence 9, 2, −5, ..., −187, we use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)*d where,
a1 is the first term,
d is the common difference, and
n is the number of terms.

For the given sequence:

a1 = 9 (the first term)

d = 2 - 9 = -7 (the common difference)

an = −187 (the last term)

We need to find the value of n that satisfies:

−187 = 9 + (n - 1)*(-7)

Solving for n gives us:

−187 - 9 = (n - 1)*(-7)

n - 1 = 28/7

n = 28 + 1

n = 28 + 1

n = 29

Therefore, there are 29 terms in the arithmetic sequence.

Answer:

d. Legal Responsibility

Step-by-step explanation:

When purchasing auto insurance, "full coverage" insurance will include:

Collision coverage;

Bodily Injury coverage;

Property damage coverage;

and Comprehensive coverage.

Legal Responsibility is not one of these major types.

Legal Responsibility is not considered as the component of auto insurance because auto insurance only consists of collision, bodily injury, medical payment or personal injury protection and property damage liability. Therefore option (d) is correct.

Further Explanation:

Auto Insurance: It is a contract between two parties of which is the insurer, and the other one is insured. An insurer is a person who agrees to pay the insured in any unforeseen circumstances like accidents, thefts, property damage, etc. In case of auto insurance, the insurance company takes the responsibility of all the damages which are done to the holder of the auto or the auto, but it does not take the responsibility of any legal damage to the insured.

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Answer details:

Grade: Senior School

Subject: Business Studies

Chapter: Insurance

Keywords: Insurance, collision, bodily injury, insurance claims, legal responsibility, property damage, types of auto insurance, auto insurance, the insurance company, responsibility, damages, holder of the auto, legal damage to the insured, basic type of auto insurance, contract, between two parties, insurer, who agrees to pay, the insured.

The most amount she could have charged for each bracelet is:

                            $ 7

It is given that:

Lana earned $49 on Friday $42 on Saturday,and $21 on Sunday selling bracelets.

Also, she sold each bracelet for the same price.

This means that if the maximum cost of each bracelet will be the greatest common divisor i.e. G.C.D. of the amount she earned each day.

which is G.C.D(49,42,21)=7

Hence, the answer is: $ 7

Answer:D 3,888

Step-by-step explanation:

Answer:

285.2 miles per day.

Step-by-step explanation:

We have been given that a trip from New York to Seattle is 2852.1 miles. A family wants to make the drive in ten days.

To find the distance traveled by the family each day, we will divide total distance by 10 as:

[tex]\text{Distance traveled by the family each day}=\frac{2852.1\text{ miles}}{\text{ 10 days}}[/tex]

[tex]\text{Distance traveled by the family each day}=\frac{285.21\text{ miles}}{\text{day}}[/tex]

[tex]\text{Distance traveled by the family each day}\approx \frac{285.2\text{ miles}}{\text{day}}[/tex]

Therefore, the family will drive 285.2 miles per day.

The company's employees volunteer an average of 480 hours per week in total, and each employee volunteers an average of 3.75 hours per week.

To calculate the average number of hours the employees of a company volunteer per week, you would divide the total hours volunteered by the number of weeks. So, the calculation for the average weekly volunteer hours for the entire company is 12,480 hours divided by 26 weeks, which is 480 hours per week.

To find out the average number of hours each employee volunteers per week, divide the weekly volunteer hours by the number of employees. Using the previous calculation of 480 hours per week for the entire company and dividing by 128 employees, you get an average of 3.75 hours per employee per week.

Answer:

2.11 cm

Step-by-step explanation:

As you can see in the picture I put the sides in the trapezoid. Now, let's use the area's formula:

A = [tex]\frac{(B+b)*h}{2}[/tex]

where B is the Largest parallel side, b the smallest parallel side and h is the height.

Now,

20 =  [tex]\frac{(6z-1+2z+3)*z}{2}[/tex]

20 =  [tex]\frac{(8z^{2}+2z}{2}[/tex]

20 = [tex]4z^{2}+z[/tex]

[tex]4z^{2}+z-20=0[/tex]

Then, we use the cuadratic formula z= [tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex] where a=4, b=1 and c=-20.

z= [tex]\frac{-1+-\sqrt{1-4(4)(-20)} }{8}[/tex]

z =  [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]

z =  [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]

z =  [tex]\frac{-1+-17.91}{8}[/tex]

As we are searching lenght we choose the positive z value

z =  [tex]\frac{-1+17.91}{8}[/tex]

z=  [tex]\frac{16.91}{8}[/tex]

z =  2.11 cm.