in the plane figure shown below. if the degree measures of the angle are as shown, then x+y=

A diagram that shows the most useful positioning of a rectangle in the first quadrant of a coordinate plane is: D. diagram D.

In Mathematics and Euclidean Geometry, a quadrant is the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a coordinate plane or cartesian coordinate.

This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:

In this scenario, we can logically deduce that the coordianetes of this rectangle can be easily calculated by using diagram D;

Length, b = |b - 0| = b

Width, a = |0 - a| = a

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Final answer:

The quotient of 7,684 and 78 is 98 with a remainder of 60, determined through long division.

Explanation:

To determine the quotient of 7,684 and 78, follow these steps:

Set up the division problem using long division with 7,684 as the dividend and 78 as the divisor.

Divide 78 into the first two digits of the dividend (76), which does not go evenly. Move to the first three digits (768).

Divide 78 into 768 to begin finding the quotient. 78 goes into 768 approximately 9 times because 78 x 9 = 702.

Subtract 702 from 768 to get a remainder of 66 and bring down the next digit from the dividend, which is 4, forming 684.

Divide 78 into 684. It goes 8 times because 78 x 8 = 624.

Write 8 next to the 9 in the quotient to update the quotient to 98 and subtract 624 from 684 to get a new remainder of 60. Since there are no more digits to bring down from the dividend, 60 is the final remainder.

The quotient is 98 with a remainder of 60.

The International Space Station has a linear velocity of approximately 17,625 miles per hour when orbiting Earth at an altitude of 250 miles above the surface and completing 16 orbits per day.

To find the linear velocity of the International Space Station (ISS), we first calculate the circumference of its orbit around the Earth. The radius of the Earth is given as approximately 3,960 miles, and the ISS orbits about 250 miles above the surface. Therefore, the total distance from the center of the Earth to the ISS is 3,960 miles + 250 miles = 4,210 miles.

The formula for the circumference (C) of a circle is C = 2yr, where y represents pi (approximately 3.1416), and r is the radius of the circle. Substituting the values, we get C = 2 * 3.1416 * 4,210 miles = 26,437.792 miles.

Given the ISS makes 16 orbits per day, we can calculate the daily distance traveled by multiplying the circumference of a single orbit by the number of orbits: 16 orbits/day * 26,437.792 miles/orbit = 423,004.672 miles/day.

To find the velocity in miles per hour (mph), we divide the daily distance by the number of hours in a day: 423,004.672 miles/day y 24 hours/day = 17,625.195 mph. Rounding to the nearest whole number, we get a linear velocity of approximately 17,625 mph.

The ratio of the perimeters of the two similar octagons is the same as the ratio of the lengths of their corresponding sides, which is 8:9.

When dealing with similar polygons, such as octagons in this case, the ratio of the lengths of corresponding sides directly determines the ratio of their perimeters. Since the sides of the octagons are proportional, with a specific ratio of 8:9, we can infer that the perimeters of the octagons will also have the same ratio. This is due to the perimeter being the sum of the lengths of all sides of the polygon.

Therefore, if one side of the first octagon is scaled up by a factor of 8, the entire perimeter will be scaled by the same factor. Correspondingly, if one side of the second octagon is scaled up by a factor of 9, its entire perimeter will also reflect that scaling. Given that the ratio of the lengths of corresponding sides is 8:9, the ratio of their perimeters will also be 8:9.

Final answer:

The three different types of angles are acute angles, right angles, and obtuse angles.

Explanation:

The three different types of angles are:

Acute angle: An acute angle is an angle that measures less than 90 degrees. For example, if you have an angle that measures 60 degrees, it would be considered an acute angle, since it is less than 90 degrees.

Right angle: A right angle is an angle that measures exactly 90 degrees. It forms a perfect square corner, like the angle formed by the corner of a book or the corner of a piece of paper.

Obtuse angle: An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. For example, if you have an angle that measures 120 degrees, it would be considered an obtuse angle, since it is more than 90 degrees but less than 180 degrees.

(11). 110 degree  (12).84 degree  (13).80 degree  (14).111 degree  (15).125 degree   (16).47 degree.

The relation between the angles  which is formed by  intersecting   two lines , described by Geometry called angle theorem. Some common angle theorem are Alternate interior angle , Alternate exterior angle etc.

Given,

(11) One angle of 110 degree is given and other angle which is asked is              

     also 110 degree by alternate exterior angle theorem.

(12) One angle of 84 degree is given and other angle which is asked is              

     also 84 degree by alternate interior angle theorem.

(13) The angle formed by straight line is 180 degree .So one angle is

      given which is 100 degree and other will be 80 degree. Now asked

      also 80 degree by alternate interior angle theorem.

(14)  One angle of 111 degree is given and other angle which is asked is              

     also 111 degree by alternate interior angle theorem.

(15) One angle of 125 degree is given and other angle which is asked is              

     also 125 degree by alternate interior angle theorem.

(16) One angle of 47 degree is given and other angle which is asked is              

     also 47 degree by alternate exterior angle theorem.

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Answer:

The answer is A.) y= -x+6

Step-by-step explanation:

The rain barrel, losing water at a rate of 2.5 gallons per minute, started with a volume of 55 gallons. It will take a total of 22 minutes to completely empty the barrel.

To calculate the total number of minutes it will take to completely empty the rain barrel, we must first establish how much water is being lost per minute and use that rate to determine how long it will take to empty the current amount of water in the rain barrel.

We know that the rain barrel loses water at a rate of 2.5 gallons per minute and after seven minutes, it contains 37.5 gallons. To determine the starting volume (V0) when the barrel was full, we can add the amount of water already used in seven minutes back to the current volume:

With a starting volume of 55 gallons and a loss rate of 2.5 gallons per minute, we can calculate the total time (T) to empty the barrel:

Therefore, it will take a total of 22 minutes to empty the rain barrel completely.

Answer:

1,541

Step-by-step explanation:

[tex] |\Omega|=52\\
|A|=\underbrace{26}_{\text{red}}+\underbrace{4}_{\text{king}}-\underbrace{2}_{\text{red king}}=28\\\\
P(A)=\dfrac{28}{52}=\dfrac{7}{13}\approx54\% [/tex]

Answer:

C) 7/13

Step-by-step explanation:

Answer: In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda.

Step-by-step explanation:

We know that the "mean" is the "average" we used where we need to add up all the numbers and then divide by the number of elements where as the "median" is the "middle" value in the list of numbers.

The mean and median would not affected by outlying data points within data sets. Thus, the median is often used when a data set has outlying data points that could influence the mean and thereby misrepresent the middle of the data set.

The correct reason people sometimes use mean or median to misrepresent the “average” of a set of data is " In data sets with outliers, either the mean or median can be used to make the data set appear more favorable to their agenda. '

Answer: the answer is c

Step-by-step explanat

Answer:

Your answer would be 126 ways hopefully this helps!

The percent of the questions Marty answers correctly is 72 percent.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Marty correctly answers 36 questions on his science test.

There are 50 questions on the test.

Percentage of correct answers = Number of correct answers/Total number of questions ×100

= 36/50 ×100

= 0.72×100

= 72%

Therefore, the percent of the questions Marty answers correctly is 72 percent.

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