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The measure of each angle in a regular polygon with 3 sides is 60 degrees.

A "Regular Polygon" which has  3-sides is called Equilateral-Triangle.

We know that the sum of the interior angles of any triangle is always 180 degrees.

Since , the equilateral triangle has three equal angles, we divide the sum of the interior angles by 3 to get the measure of each angle:

⇒ Sum of interior angles of a triangle = 180 degrees

⇒ Measure of each angle in an equilateral triangle = 180°/3

⇒ Measure of each angle in an equilateral triangle = 60 degrees

Therefore, each angle in equilateral triangle is of 60°.

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It is True to take decisions about the types of questions

Researching: to study a subject in detail, especially in order to discover new information or reach a new understanding: She's researching into possible cures for AIDS. Journalists were frantically researching the new prime minister's background, family, and interests. Thesaurus: synonyms, antonyms, and examples. to study something.

It is True to take decisions about the types of questions that will be included in a questionnaire must include considerations of which statistical tests the researcher will use on the collected data.

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Answer:

20

Step-by-step explanation:

Answer:

20 times

Step-by-step explanation:

6 x 10^5 = 600000

3 x 10^4 = 30000

600000/30000 = 20

The distance from your house to the movie theater is 14 hours * 40 mph = 560 miles. so, the required inequality will be d<560.

An inequality is a mathematical statement that describes the relationship between two values. It shows that one value is greater than, less than, or equal to another value.

For example, the inequality "x < 5" means that the value of x is less than 5. The inequality "y > 8" means that the value of y is greater than 8. And the inequality "z ≤ 9" means that the value of z is less than or equal to 9.

If your friend lives closer to the movie theater than you do, then the distance from your friend's house to the movie theater is less than 560 miles. This can be represented by the inequality d < 560, where d is the distance in miles from your friend's house to the movie theater.

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In polygon, The sum of all interior angles of a triangle must be 180°.

In arithmetic, what is a polygon?

a) scaled copy of A with scale factor  1/2.

b) This is scale copy of polygon B with scale factor 2 .

c) Scaled copy of polygon C with scaled factor 1/4 .

the sum of all interior angles of a triangle must be 180° . So in option B sum of angles is 180.

50°  + 60°  + 70°  = 180°

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Answer:

Step-by-step explanation:

Sing robbery and ur done

Answer: $1.23

Step-by-step explanation: to find the cost of one pound we need to divide 6 pounds by how much it costs so, 6 ÷ 4.86= 1.23.

Answer:

12 and 7

Step-by-step explanation:

Answer:

6.3151

Step-by-step explanation:

461 ÷ 73 = 6.31506

it gets rounded to the 4th decimal place of to 6.3151

Answer:

Hi Elm!

Step-by-step explanation:

In a polygon, the sum of the measures of the interior angles and the sum of the measures of the exterior angles of adjacent angles are related. Specifically, the sum of the measures of the interior angles of a polygon is equal to (n - 2) times 180 degrees, where n is the number of sides in the polygon. For a given interior angle and its adjacent exterior angle, the measure of the exterior angle is equal to the sum of the interior angle and 180 degrees.

Step-by-step explanation:

I hope this helps a bunch! Make sure to rephrase!

The standard equation of parabola that has focus (5, 0) and directrix x = -5 is y² = 20x.

We have,

focus of the parabola is (5, 0).

Directrix x = -5

The standard equation of parabola,

(y - k)² = 4 p (x  - h)

where Vertex = (h, k)

So, (h, k)

= ((x coordinate of focus + directrix)/2 , 0)

= ((5 - 5)/2, 0)

= (0, 0)

and, p = distance from focus to the vertex = 5 - 0 = 5

Thus, The required equation of parabola,

(y - 0)² = 4 × 5(x - 0)

y² = 20x

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Answer:

16/33

Step-by-step explanation:

We have a bag of :

9 red marbles

6 blue marbles

7 green marbles

11 yellow marbles

Total number of marbles = 33 marbles.

The possibility that a red or green marble will be selected from a bag

P( Red or Green) = P(Red) + P(Green)

In the question we are not told if it is with replacement or without. We do both

With replacement

P( R or G) = P(Red) + P(Green)

P(Red)= 9/33

P(Green) = 7/33

= 9/33 + 7/33

= 16/33

Therefore, the possibility that a red or green marble will be selected from a bag is 16/33

Correct option is: r3: y - y_m = -(x - x_m) .To find the equation of the straight road that passes through the meeting point of Lily and Rita and is perpendicular to either road r1: y = x + 1 or r2: 3x + y - 50, we can use the fact that the product of the slopes of two perpendicular lines is -1.

1. Road r1: y = x + 1

The slope of road r1 is 1 (since it is in the form y = mx + b, where m is the slope). Therefore, the slope of the line perpendicular to r1 is -1/1 = -1.

2. Road r2: 3x + y - 50 = 0

To find the slope of r2, we can rewrite the equation in slope-intercept form: y = -3x + 50. The slope of road r2 is -3. Therefore, the slope of the line perpendicular to r2 is 1/3.

Now, we have two slopes, -1 and 1/3. Let's find the equation of the line passing through the meeting point and having one of these slopes.

Using point-slope form:

For slope -1 (perpendicular to r1), we can use the meeting point coordinates (x_m, y_m) and the slope -1 to find the equation:

y - y_m = -1(x - x_m)

Substituting the meeting point coordinates, the equation becomes:

y - y_m = -(x - x_m)

For slope 1/3 (perpendicular to r2), we can use the meeting point coordinates (x_m, y_m) and the slope 1/3 to find the equation:

y - y_m = (1/3)(x - x_m)

Therefore, the equation of the straight road that passes through the meeting point of Lily and Rita and is perpendicular to either r1 or r2 is:

r3: y - y_m = -(x - x_m)   or   r3: y - y_m = (1/3)(x - x_m)

In the given answer choices: - r3: x - 3y + 5 = 0 and r3: 2x + 2y = 6 are not equations of lines perpendicular to r1 or r2.

- r3: x + y - 3 = 0 is not an equation of a straight line.

Therefore, the correct option is: r3: y - y_m = -(x - x_m)

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Answer:A is the answer just took test

Step-by-step explanation:

Answer:

$280 + $15x ≥ $635

Step-by-step explanation

weekly pay (280) + commision per sale (15x)  ≥ goal (635)

Answer: No, it is not proportional.

Explanation:

We can see that Diego opened an account with $20, meaning that there is going to be a y-intercept of 20 in a graph. Therefore, with a y-intercept of 20 and not zero, we can say that there is not a proportional relationship between and time and amount saved for Diego.

The perpendicular distance represents the shortest distance between two parallel lines.

To find the distance between a pair of parallel lines given their equations, you can follow these steps:

1. Identify the equations of the two parallel lines. Let's call them Line 1 and Line 2.
2. Rewrite the equations of Line 1 and Line 2 in the form Ax + By + C = 0, where A, B, and C are constants.
3. Find the perpendicular distance between Line 1 and Line 2. This distance is equal to the absolute value of the difference between the constant terms (C) of the two equations divided by the square root of the sum of the squares of the coefficients of x (A) and y (B).
  - Distance = |C1 - C2| / √(A^2 + B^2)

Further, by rewriting the equations of the parallel lines in the standard form, we can easily calculate the perpendicular distance between them. The perpendicular distance represents the shortest distance between the two lines.

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Answer:

Angles 2 and 7 are opposite exterior angles.

Step-by-step explanation:

Angles 2 and 7 are on the outside so they are exterior,  They are also on the opposite sides of the transversal so they are opposite.

Angles 2 and 7 are opposite exterior angles.

Thank you.

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

The answer is D. No, because the curve indicates that the rate of change is not constant.

Step-by-step explanation:

There is not a constant rate of change which results in a curved line.

Answer:

It is the last one: No, because the curve indicates that the rate of change is not constant.

Step-by-step explanation:

You can tell in the picture that if you connected the points it would not create a straight line.

Answer:

12n+9=93

solve for n

12n=93-9

n=84/12

n=7

therefore, Mr. copper bought 7 tickets.

Answer:

b^4 / a

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

Answer:

Step-by-step explanation:

In every triangle, all the measures of the angles combined is 180 degrees.

So x + y + z = 180 degrees

Answer:

180 dg

Step-by-step explanation:

The height of the house is h = 18 feet

Given data ,

A nearby house requires 52000 BTUs for heating

Now , the house is 31 ft long and 25 ft wide

Let the height of the house be represented as h

where Volume of rectangular house is V = Length x Width x Height

On converting the heating requirement into a quantity that is directly related to the volume of the house , we get

The conversion factor is typically given in terms of BTUs per cubic foot of air

Volume of air = Heating requirement / Conversion factor

V = 52000 / 3.75

V = 13,866.67 feet³

And , 13,866.67 = 31 x 25 x Height

The height of the house h = 18 feet

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The complete question is attached below :

A nearby house requires 52000 BTUs for heating. If the house is 31 ft long and 25 ft wide, what is the height of the house

Answer:

Down Below

Step-by-step explanation:

\(a+12=21\\a+12-12=21-12\\a=9\)

Answer:

9

Step-by-step explanation:

a +12 = 21

a + 12 - 12 = 21 - 12

a = 9

The total cost or amount that Tiger Biscuits will pay will be Rs 16000.

From the information given, the factory is planing to produce 10,000 units and the standard time per 200 units is 8 hours.

The time taken to produce 10000 units will be:

= (10000/200) × 8

= 400 hours.

The amount that the company will pay will be:

= 400 × Rs 40

= Rs 16000

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The cross product of vectors a and b is v = 〈1, 1, -1〉.

The cross product of two vectors is a vector that is orthogonal (perpendicular) to both of the original vectors. It is calculated using the determinant of a 3x3 matrix.

Let's consider two vectors a = 〈a1, a2, a3〉 and b = 〈b1, b2, b3. To find the cross product of two vectors, we can use the formula:

v = (a2b3 - a3b2)i + (a3b1 - a1b3)j + (a1b2 - a2b1)k

Given vectors a = 〈1, 2, 3〉 and b = 〈3, 5, 8〉, we can substitute their components into the formula:

v = ((2 * 8) - (3 * 5))i + ((3 * 3) - (1 * 8))j + ((1 * 5) - (2 * 3))k

= (16 - 15)i + (9 - 8)j + (5 - 6)k

= 1i + 1j - 1k

= 〈1, 1, -1〉

Therefore, the cross product of vectors a and b is v = 〈1, 1, -1〉.

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Answer:

x=24 y=7

Step-by-step explanation:

me smart

Answer:

x=24

y=7

Step-by-step explanation:

Hey There!

To find the value of x and y you divide the total length by 2 if that makes sense

for y

14/2=7

therefore y=7

for x

48/2=24

therefore x=24