1. Find the slope of the line using the points (10, 4) and (20, 0).

A polygon with seven congruent sides and angles is called HEPTAGON. In this case

A polygon is a two-dimensional closed figure with three vertices, three angles, and at least three straight sides. The words "Poly" and "gon" both mean many and angle, respectively. A triangle, for instance, has three vertices, three sides, and three angles. Therefore, it qualifies as a polygon.

Chantal "draws a polygon with seven congruent sides and angles," according to the statement. Heptagon is the name for a polygon with seven identical sides and angles. This polygon is a regular one because all of its sides and angles are equal. A regular polygon must have equal side lengths and angles by definition.

To know more about polygons follow

https://brainly.com/question/27865652

#SPJ1

The first step is to express the equation in slope-intercept form which is;

y = mx + b

The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.

Given that,

We have two points they are (1,-9) and (-3,3).

We have to find the slope of the line that contains the points.

We know that,

The slope or steepness of a line is determined using the slope formula. It may be used to calculate any line's slope by comparing the change in the y-axis to the change in the x-axis. The slope of a line is the ratio of the change in the line's "y" coordinate to the change in its "x" coordinate.

Slope = y₂-y₁/x₂-x₁

So,

The points (1,-9) and (-3,3).

Slope = 3-(-9)/-3-1 = 3+9/-3-1 = 12/-4 = -3

Therefore, The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.

To learn more about slope visit: https://brainly.com/question/837699

#SPJ1

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

The first equation that represents 42 - p -p= 21 is correct.

An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.

Isaac has $42 cash in hand when arrived Saturday market.

He buys two posters that each cost selling price or SP.

when he leaved the market had $21 cash in hand.

assume, each poster has a price = p

The situation is represented by the following.

initial amount - cost for two posters = final amount

42 - p - p = 21

hence, the first equation that given in the question is correct.

To learn more about equation visit:

https://brainly.com/question/29144139

#SPJ1

Answer:

Perimeter = (8x-30)

Area=(X-5)(3x-10)

Step-by-step explanation:

Perimeter equation for solving is this

2(X-5+3x-10)=p

it is length plus width twice which will equal the perimeter

solving this out

2(4x-15)=p

8x-30=p

area equation for solving this is

(x-5)(3x-10)=a

I don’t know how to solve this one out but i hope the setup helps!

Answer:

1.  n=10

2. n=35

3. n=6

4. n=0 ? not sure for this one. two variables in the proportion

5. n=36

Step-by-step explanation:

set each set of proportion equal to each other and do cross multiplication

hope this helps !

how are you ?

Answer:

Step-by-step explanation:

Please take a look of the attached photo for the solution.

-√(1/4) = C

-5/2 = A

√4 = 2 = E

1/3 = D

-√2 = B

Explanation:

We need to determine the position of the numbers given:

-√(1/4) = -(√1)/(√4) = -(1/2) = - 0.5

-5/2 = - 2.5

√4 = 2

1/3 = 0.33

-√2 = -1.4

We check the number line for alphabets that represent these numbers.

-0.5 is between 0 and -1

-√(1/4)= -0.5 = C

-2.5 is between -2 and -3

-5/2 = -2.5 = A

Alphabeth E is on 2

√4 = 2 = E

0.3 is between 0 and 1. it's closer to 0

1/3 = D

-1.4 is between -1 and -2. It is closer to -1

-√2 = B

The statement that "an estimated regression coefficient is statistically significant if it is statistically different from 1" is false.

When we say that an estimated regression coefficient is statistically significant, we mean that it is statistically different from zero, not from 1.

The reason for this is that the null hypothesis in a hypothesis test for a regression coefficient is typically that the true value of the coefficient is zero. Therefore, if we reject the null hypothesis and find that the estimated coefficient is statistically significant, we conclude that there is evidence to suggest that the coefficient is not equal to zero and therefore has a non-zero effect on the response variable.

In some cases, we may be interested in testing whether a regression coefficient is equal to a specific value, such as 1. However, this would be a different hypothesis test with a different null hypothesis, and the result of this test would not necessarily be related to whether the coefficient is statistically significant or not.

Therefore, the statement that "an estimated regression coefficient is statistically significant if it is statistically different from 1" is not accurate.

Learn more about estimated regression coefficient on:

https://brainly.com/question/17004137

#SPJ1

Answer:

\(\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}\)

\(\frac{2}{3} - \frac{1}{2} = \frac{1}{6}\)

Step-by-step explanation:

Given

\(\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}\)

\(/ - / = \frac{?}{6}\)

Required

Fill in the gaps

For Line 1, convert both fraction to a denominator of 6.

This is shown below:

\(\frac{2}{3} - \frac{1}{2} = \frac{4}{?} - \frac{?}{6}\)

\(\frac{2}{2}*\frac{2}{3} - \frac{1}{2} *\frac{3}{3}\)

\(\frac{2*2}{2*3} - \frac{1*3}{2*3}\)

\(\frac{4}{6} - \frac{3}{6}\)

Hence:

\(\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}\)

For Line 2;

We have:

\(\frac{2}{3} - \frac{1}{2} = \frac{4}{6} - \frac{3}{6}\)

\(\frac{2}{3} - \frac{1}{2} = \frac{4-3}{6}\)

\(\frac{2}{3} - \frac{1}{2} = \frac{1}{6}\)

Answer:

x² + 10x + 25 = 31

Step-by-step explanation:

To complete the square use half the x coefficent (10/2 = 5)

and square it (5² = 25)

Then add it to both sides

x² + 10x + 25 = 6 + 25

x² + 10x + 25 = 31

Answer:

x^2 + 10x + 25 = 31

Step-by-step explanation:

x^2 + 10x + (10/2)^2 = 6 + 25

x^2 + 10x + 25 = 6 + 25

x^2 + 10x + 25 = 31

The first step requires a bit of explanation. The way to complete the square is to take 1/2 the linear term (10x) and square it

1/2 10 = 5

5 squared = 25

That number must be added to the right side to maintain equality.

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

The number of elements of event E n(E) is 70.

The selecting of r items out of n items is done by using Combination. The formula for combination is as follows,

\(C(n,r)=\frac{n!}{r!(n-r)!}\)

Where n is the total number of elements and out of which r is selected and ! is factorial sign and n is greater than or equal to r.

Now, Finding the number of elements in the event E that at least two 5-dollar bills are drawn from the bag.

Here, three bills are drawn out of which at least two 5-dollar bills must be drawn, so

\(n(E)=C(5,2)\times C(6,1)+C(5,3)\\\\=\frac{5!}{2!(5-2)!} \times \frac{6!}{1!(6-1)!} +\frac{5!}{3!(5-3)!}\\\\=10\times6+10\\=70\)

Therefore, the number of elements n(E) in event E is 70.

To learn more about the Combination visit here:

https://brainly.com/question/28065038

#SPJ1

Answer:

There is no significant interaction between the number of sales calls and the miles driven.

Step-by-step explanation:

The variables are defined as follows:

Dependent (Y) = amount earned in commissions last month

Independent (X₁) = number of miles driven last month

Independent (X₂) = number of sales calls made last month

In this case we need to test whether there is a significant interaction between the number of sales calls and the miles driven.

The hypothesis can be defined as follows:

H₀: There is no significant interaction.

Hₐ: There is a significant interaction.

Assume that the significance level of the test is, α = 0.05.

Use the Data Analysis tool in Excel to form the regression equation.

For the regression equation, we need to compute the values of (X₁ × X₂).

Steps:

The output of the regression analysis is attached below.

The regression equation is:

\(Y=-455.07+3.128\cdot X_{1}+0.143\cdot X_{2}-0.001\cdot X_{1}X_{2}\)

Consider the third table in the regression output.

The test statistic corresponding to the interaction term is:

t = -1.85

The p-value for the test of the interaction term is:

p-value = 0.078.

The p-value of the test is more than the significance value.

The null hypothesis will not be rejected.

Thus, concluding that there is no significant interaction between the number of sales calls and the miles driven.

The additional information would allow the triangles to be proven similar by AA is: C. ∠M ≅ ∠P.

The acronym, "AA" stands for "angle-angle". Thus, the AA similarity theorem is a triangle theorem that is used to prove that two triangles that have two pairs of corresponding congruent angles are similar to each other.

The figure given shows two triangles, triangle MNO and triangle PQR, which have a pair of corresponding congruent angles, angle MNO and angle PQR [both are congruent because they are right angles that are equal to angle 90 degrees.]

Thus, this is not enough to prove that both triangles are similar to each other by the AA similarity theorem.

In other to prove that both triangles are similar by AA, we need to be given or shown that both triangles also have another pair of corresponding congruent angles.

Thus, the additional information needed can be: C. ∠M ≅ ∠P.

Learn more about the AA similarity theorem on:

https://brainly.com/question/2166570

#SPJ1

The calculated value of the probability using the given parameters is 0.0154

From the question, we have the following parameters that can be used in our computation:

n = 4

x = 3

p = 1/6

The probability is then calculated as

P(x = x) = nCr * p^x * (1 - p)^(n - x)

Substitute the known values in the above equation, so, we have the following representation

P(x = 3) = 4C3 * (1/6)^3 * (1 - 1/6)

Evaluate

P(x = 3) = 0.0154

Hence, the probability is 0.0154

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

For more questions on Division .

https://brainly.com/question/30340100

#SPJ8

y=x+3

hope this helps!

Answer:

Hey!

Your answer is YES!

AKA the Last Option on your screen!

Step-by-step explanation:

It is this because...

They both have the angles 105 in it...

And looking at the other angle on the smaller one (25)

50 + 25 = 75 ... 180 - 75 = 105

WE HAVE 105 as an angle on the larger triangle...which makes them SIMILAR but congruent Angles!

It cant be the "corresponding sides" as we do not have the notations (lines intersecting the sides) that let us know that the lines are the same.

Hope this helps!

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

for such more question on mean

https://brainly.com/question/14532771

#SPJ8

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The Pythagorean theorem tells you the relationship between the sides of this right triangle is ...

  x² +8² = 10²

  x² = 100 -64 = 36 . . . . subtract 8²

  x = √36 . . . . . . . . . . take the square root

  x = 6

Answer:

1:10

Step-by-step explanation:

1 hour is 60 minutes, so the ratio is 6:60.

To simplify, divide both sides by 6.

Thus, you get:

1:10.

1/1728 is the value of negative integers .

What in math is an integer?

= 12⁻³

= 1/12³

=  1/1728

Learn more about integer

brainly.com/question/15276410

#SPJ13

Answer:

1. 0.8 2. 1.25 3. 27.5

Step-by-step explanation:

Number 1 is 4/5

Number 2 is just 5/4

And I think number 3 is 22/4 which is 5.5 then times 5 which is 27.5.

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

Answer:

conceptual

Step-by-step explanation: