which equivalent represents proportional to the constant proportional equals -2 select all the apply

The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

For similar questions on non-right angles

https://brainly.com/question/30571649

#SPJ11

Answer:

110

Step-by-step explanation:

The slope of the line perpendicular to the line whose equation is 15x - 12y = 216 is m{p} =  -0.8.

What is the general equation of a straight line?

straight line equation: The general equation of a straight line is -

y = mx + c.

where,

{m}: slope of the line.

{c} : y-intercept

To find the slope of a line perpendicular to the line whose equation is 15x - 12y = 216, we need to find the negative reciprocal of the original line's slope.

To find the original line's slope, we can use the equation of the line in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

To convert the equation of the line from standard form to slope-intercept form, we can add 12y to both sides to get 12y = -15x + 216.

Then divide both sides by 12 to get y = -(15/12)x + 18.

So the slope of the original line is -(15/12).

The slope of a line perpendicular to the original line is the negative reciprocal of the original line's slope.

So the slope of the line perpendicular to 15x - 12y = 216 is -12/15 or -0.8

The slope of the line perpendicular to the given line is -

m =  -12/15 =  -0.8

Therefore, the slope of the line perpendicular to the line whose equation is 15x - 12y = 216 is m{p} =  -0.8.

To learn more about the straight lines visit,

brainly.com/question/29149364

#SPJ1

Answer

16

Step-by-step explanation:

In order to get the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty, we need to calculate the power of the set having four elements. Let the set containing the element be C as shown;

Let set C = {1, 2, 3, 4}

Power of the set P(C) = 2^n

n is the total number of element in the set. Since we have four elements in the set, n = 4

This means that the set A have 16 subsets. The subsets of the set are:

{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {2,3 4}. {1, 3, 4}, {1, 2, 3, 4}.

From all the subsets, it can be seen that intersection of set {1} and {2}, {1} and {2}, {3} and {3} are empty.

Hence the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty is 16

Answer and Step-by-step explanation:

According to the situation the solution is shown below:-

The expected value is

\(\mu = 5\)

The standard deviation is

= $3

The sample distribution of the sample standard deviation is

\(\sigma_x = \frac{\sigma}{\sqrt{n} } \\\\ = \frac{3}{\sqrt{36} } \\\\ = \frac{3}{6}\)

After solving the above equation  we will get

= 0.5

Basically we applied the applied formula so that each part could be determined

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

The greatest integer function graph is known as the step curve because of the step structure of the curve. Let us plot the greatest integer. First, consider f(x) = ⌊x⌋, if x is an integer, then the value of f will be x itself. If x is a non-integer, then the value of x will be the integer just before x.

Answer:

parameter

Step-by-step explanation:

The statement "It turns through one-twentieth of a circle" is accurate. Then the correct option is C.

Given that:

Rita draws an angle with a measure of 20 degrees.

An angle is a unit of rotation created when two rays share the same vertex or endpoint. Since an angle is a measurement of rotation, it may also be measured in degrees. A circle has 360 degrees of arc.

360 degrees is the length of a circle's complete rotation. The rotation of one-twentieth (1/20) of a full revolution, or one-twentieth of a circle, is equivalent to a measurement of 20 degrees.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

The number of the same coin that she has will be 6.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janice has $2.46 worth of coins in her pocket. The coins are of four different denominations, and she has the same number for each denomination.

If there are any pennies, nickels, dimes, or quarters on Janice. Trial and error led me to the following conclusions:

1 of each coin: 0.01 + 0.05 + 0.10 + 0.25 = 0.41

2 of each coin: 0.02 + 0.10 + 0.20 + 0.50 = 0.82

3 of each coin: 0.03 + 0.15 + 0.30 + 0.75 = 1.23

4 of each coin: 0.04 + 0.20 + 0.40 + 1.00 = 1.64

5 of each coin: 0.05 + 0.25 + 0.50 + 1.25 = 2.05

6 of each coin: 0.06 + 0.30 + 0.60 + 1.50 = 2.46

Based upon these results, Janice has 6 of each coin.

Let x be the number of coins. Then we can set up the equation will be

0.01x + 0.05x + 0.10x + 0.25x = 2.46

0.41x = 2.46

x = 6

The number of the same coin that she has will be 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Write an equation in point-slope form of the line that passes through the point (−6, 6) and has a slope of m=3/

Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

Answer:

Difference between standard score and raw score

In statistics, the standard score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being observed or measured.

Step-by-step explanation:

normal and rare are same

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

Let's calculate the cross-price elasticity of demand using the given information:

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

For more questions on Demand.

https://brainly.com/question/14274996

#SPJ8

Answer:

Step-by-step explanation:

Answer:

it would be within the range of $0.77 <x< $0.78

Answer:

\(\sf{\boxed{\sf{x=3, \quad y=-7}}}\)

Step-by-step explanation:

In order to solve the problem, all you have to do is substitute the left to right numbers in the equation.

-4x-3y=9 and 5x=15

Solve with 5x=15.

First, divide by 5 from both sides.

5x/5=15/5

Solve.

15/5=3

x=3

Substitute of x=3.

-4*3-3y=9

Solve.

-4*3=-12

Then rewrite the problem down.

-12-3y=9

You have to isolate by the y.

-12-3y=9

Add by 12 from both sides.

-12-3y+12=9+12

Solve.

9+12=21

-3y=21

Then, divide by -3 from both sides.

-3y/-3=21/-3

Solve.

21/-3=-7

y=-7

As a result, the solution is x=3, and y=-7, which is our answer.

Answer:

1. Mode = 7

2. Range = 8

Step-by-step explanation:

The following set of data were obtained from the question:

4, 6, 5, 9, 3, 2, 7, 7, 1, 8

Mode =?

Range =?

1. Determination of the mode of the data.

Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:

Scores >>>>>>> Frequency

4 >>>>>>>>>>>> 1

6 >>>>>>>>>>>> 1

5 >>>>>>>>>>>> 1

9 >>>>>>>>>>>> 1

3 >>>>>>>>>>>> 1

2 >>>>>>>>>>>> 1

7 >>>>>>>>>>>> 2

1 >>>>>>>>>>>> 1

8 >>>>>>>>>>>> 1

From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .

2. Determination of the range of the data.

Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:

Highest score = 9

Lowest score = 1

Range = Highest – Lowest

Range = 9 – 1

Range = 8

Answer:

(3, -2) is the correct choice.

Solve for x when √(x ² - 4) = 1 :

√(x ² - 4) = 1

x ² - 4 = 1

x ² = 5

x = ±√5

We're looking at x ≤ 0, so we take the negative square root, x = -√5.

This means f (-√5) = 1, or in terms of the inverse of f, we have f ⁻¹(1) = -√5.

Now apply the inverse function theorem:

If f(a) = b, then  (f ⁻¹)'(b) = 1 / f '(a).

We have

f(x) = √(x ² - 4)   →   f '(x) = x / √(x ² - 4)

So if a = -√5 and b = 1, we get

(f ⁻¹)'(1) = 1 / f ' (-√5)

(f ⁻¹)'(1) = √((-√5)² - 4) / (-√5) = -1/√5

The sign must be negative; see the attached plot, and take note of the negatively-sloped tangent line to the inverse of f at x = 1.

Answer:

3(n-9)-2(n+4)=6n

3n-27-2n-8=6n

n-35=6n

-35=5n

n= -7

Step-by-step explanation:

3(n-9)-2(n+4)=6n

open the brackets by multiplication

3n-27-2n-8= 6n

n-35=6n

n=-7

The equation of a circle with center (h, k) and radius r is given by the following expression:

In this case, the center of the circle is located at (6, -4), and its radius equals 6, then by replacing 6 for h, -4 for k and 6 for r, we get:

Then, the last option is the correct answer: (x - 6)^2 + (y + 4)^2 = 36

We cannot conclude that there are more than 70,000 defined words in the dictionary.

To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.

Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.

So, sample mean

= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10

= 510 / 10

= 51.0

and, the sample standard deviation (s)

= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]

≈ 16.23

Next, we calculate the test statistic using the formula:

test statistic = (x - μ) / (s / √n)

In this case, μ = 48.0, s ≈ 16.23, and n = 10.

test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34

With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.

Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.

Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.

Learn more about test statistic here:

https://brainly.com/question/31746962

#SPJ1

We get the surface area οf the bοx tο be 47752 mm².

Surface area is the tοtal area that the surface οf a three-dimensiοnal οbject οccupies. It is the sum οf the areas οf all the faces οr surfaces οf the οbject.

The surface area οf a bοx can be calculated by finding the sum οf the areas οf all six sides.

In this case, the bοx has dimensiοns οf 125mm × 64mm × 84mm. Therefοre, the surface area can be calculated as:

2(125mm × 64mm) + 2(125mm × 84mm) + 2(64mm × 84mm)

Simplifying this expressiοn, we get:

= 16000mm² + 21000mm² + 10752mm²

= 47752mm²

Rοunding this value tο the nearest mm, we get the surface area οf the bοx tο be 47752 mm².

To learn more about Surface Area from the given link

https://brainly.com/question/16519513

#SPJ1

Answer:

yeahh, i'm proud of you

Step-by-step explanation:

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

Answer:

5 1/2 + 3/4

11/2 + 3/4

22+3/4

25/4

=6 1/4

Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.

Answer:

A. 1/x to the 4 y

ANSWER

Yes, it does

EXPLANATION

We want to know if the given function has infinite solutions:

The given function is a periodic function. It has a period of 2π radians (360 degrees).

This implies that for every revolution from a solution of the given function, there is another value of x which has the exact same function.

In other words, there are infinite values of x for which its sine is 1/2.

Therefore, it has infinite solutions.