Pentagon SHAPE is located on the coordinate plane, where point H is located at coordinates (a, b).
The pentagon is reflected across the y-axis and then translated 2 units to the down to create pentagon S'H'A'P'E'
Create an expression for the y-coordinate of H

Answers

Answer 1

So, on solving the question we can say  all sum of angles of a pentagon are 540 ; x = 340

what is a pentagon?

A pentagon is a polygon with five sides that is used in geometry. The inner angles of a straightforward pentagon add up to 540°. Simple or self-intersecting pentagons are both possible. A pentagram is a self-intersecting regular pentagon. Five angles and all sides of a regular pentagon are equal. It is referred to as an irregular pentagon if the side lengths and angle measurements do not match. All outside angles, as far as we are aware, balance out inside angles. The polygon's exterior angle total is therefore equal to n(360°/n). There are five sides to a pentagon, therefore n must equal five. Consequently, 5(360°/5) = 360° is the sum of the pentagon's outer angles.

coordinates (a,b)

all sum of angles of a pentagon are 540

90 + 30 + 120 +x = 540

x = 340

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Related Questions

Mrs. Anderson had twice as many chickens as ducks. she sold 272 chickens and 16 ducks. She then had half as many chickens as ducks. How many chickens does she have?

Answers

The number of chickens she had was 352

Applications of equations

From the question, we are to determine the number of chicken she has

Let c represent chicken

and d represent ducks

From the given information,

Mrs. Anderson had twice as many chickens as ducks

c = 2d ---------- (1)

She sold 272 chickens and 16 ducks and then had half as many chickens as ducks

(c-272) = 1/2(d -16) ---------- (2)

Put equation (1) into (2)

2d - 272 = 1/2(d - 16)

2(2d - 272) = d- 16

4d - 544 = d - 16

4d - d = 544 - 16

3d = 528

d = 528/3

d = 176

Substitute the value of d into equation (1)

c = 2d

c = 2(176)

c = 352

Hence, the number of chickens she had was 352

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can someone please help me

Answers

The answer is 280 degrees.

The Renaissance and the Reformation are often described as eras that had many great advancements. In your opinion, what were the most important changes and advancements that occurred

Answers

It's common to hear people say that the Renaissance and Reformation saw numerous significant developments.

Why was Reformation important to the Renaissance?While the Reformation paved the way for the division of religion, the Renaissance paved the way for growth in art and architecture. The main distinction between the Renaissance and the Reformation is this.

What impact did the Renaissance have on the Reformation?

According to Palmer, the intellectual activities of the Renaissance stimulated the market for books, inspired people to read more, and inspired them to consider how to alter the present, all of which contributed to the Reformation. Rereading the Bible was one of them, as Luther did.

Why was the Renaissance important?

The Renaissance period cultivated a new change in art, knowledge, and culture.

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help pls im so confused
10(1^2*2^-2)

Answers

Answer:

2.5

(or 5/2 or 2 1/2)

Step-by-step explanation:

Remember PEMDAS

10 * (1^2 * 2^-2)

10 * (1 * 0.25)

10 * 0.25 =

2.5

What is the result of taking the difference between sample means, minus the null hypothesized difference, divided by the standard error of the difference between means?

Answers

The result of taking the difference between sample means, minus the null hypothesized difference, divided by the standard error of the difference between means is the t-statistic.

What is a t-statistic?

When deciding whether to accept or reject the null hypothesis in a T test, the t-statistic is used. It functions similarly to a Z-score in that you choose a cutoff point, calculate your t score, and then compare the two. When you have a limited sample size or don't know the population standard deviation, you utilize the t-statistic.

On its own, the t-statistic doesn't actually reveal much. Similar to how the word "average" is meaningless on its own without any context.

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A school needs 4500 paperclips which are sold in boxes of 200 how many boxes must the school buy

Answers

Answer:

23 there will be 100 paperclips leftover

23 paper clips and it’ll be left with 100

The polygon circumscribes the circle. Which of the following is the perimeter of the polygon?
A. 39 cm
B. 56 cm
C. 61 cm
D. 78 cm

Answers

The perimeter of the polygon that circumscribes the circle is 78 cm

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle tangent theorem states that tangents which meet at the same point are equal in length. Hence:

The missing lengths are 8, 6, 9 and 16.

Perimeter of the polygon = 2(8) + 2(6) + 2(9) + 2(16) = 78 cm

The perimeter of the polygon that circumscribes the circle is 78 cm

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m is inversely proportional to the square of (p-1).
When p = 4, m = 5.
Find m when p = 6.

Answers

Answer:

9/5

Step-by-step explanation:

First we have to find the constant k

m = k/(p-1)^2  (p-1)^ goes on the bottom of the fraction because of the inverse.

5 = k/(4-1)^2

5 = k/3^2

5 = k/9  Multiply both side by 9

45 = k  We know can use this constant to solve our problem

m = 45/(6-1)^2

m = 45/5^

m = 45/24

m = 9/5

find the number set which satifies each of the problems If 20 is added to the number, the absolute value of the result is 6

Answers

Answer:

{-14,-26}

Step-by-step explanation:

lx+20l=6

So x+20 is either 6 or -6

x=6-20=-14

x=-6-20=-26

The domain of this function is {-12,-6,3,15}. Y=-2/3x+7
Complete the table based on the given domain

Answers

Considering the given function, the table is completed as follows:

x|y

-12|15

-6| 11

3|5

15|-3

Which is the function?

The function is defined by:

[tex]y = -\frac{2}{3}x + 7[/tex]

Hence, when x = -12:

[tex]y = -\frac{2}{3}(-12) + 7 = 15[/tex]

When x = -6:

[tex]y = -\frac{2}{3}(-6) + 7 = 11[/tex]

When x = 3:

[tex]y = -\frac{2}{3}(3) + 7 = 5[/tex]

When x = 15:

[tex]y = -\frac{2}{3}(15) + 7 = -3[/tex]

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A 1500 pound car is stopped in traffic on a hill that is at an incline of 10°. determine the force that is required to keep the car from rolling down the hill.

Answers

Answer: about 260 Lb

Step-by-step explanation:

System of Linear Programming:
z=-3x + 5y
x+y> -22
x-y-4
x - y ≤ 2
Minimum value of z:

Answers

The minimum value of z is -12.

Given that the system of linear programming

z=-3x+5y

x+y≥-22

x-y≥-4

x-y≤2

Firstly, we will convert the given constraints into equality as

x+y=-22

x-y=-4

x-y=2

Now, we will take the equation x+y=-22 and taking x as 0 as find y and taking y as 0 to find x, we get

If x=0 then y is

0+y=-22

y=-22

If y=0 then x=-22

So, the points lie on the line x+y=-22 is (0,-22) and (-22,0).

Further, we will take the equation x-y=-4 and taking x as 0 as find y and taking y as 0 to find x, we get

If x=0 then y=4

If y=0 then x=-4

So, the points lie on the line x-y=-4 is (0,4) and (-4,0).

Furthermore, we will take the equation x-y=2 and taking x as 0 as find y and taking y as 0 to find x, we get

If x=0 then y=-2

If y=0 then x=2

So, the points lie on the line x-y=2 is (0,-2) and (2,0).

now, we will find the feasible region of the given constraints as shown in figure.

We will find that each constraint will contain origin or not by substituting (0,0), we get

0+0≥-22 containing origin

0-0≥-4 containing origin

0-0≤2 containing origin

From the graph we can see that the minimum value of x is -13 and minimum value of y is -12.

z=-3x+5y

z=-3x+3y+2y

z=-3(x-y)+2y

minmum value of x-y from the given constraints is

-4≤x-y≤2

From here minimum value of x-y is -4

So, z=-3(-4)+2y

z=12+2y

For the minimum value of z the value of y should be minimum.

From the graph we can see the minimum value of y=-12

So, z=12+2(-12)

z=12-24

z=-12

Hence, the minimum value of z for the system of Linear Programming:

z=-3x + 5y, x+y≥-22, x-y≥-4, x - y ≤ 2 is -12.

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Matt's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?

Answers

Answer:

3/8

Step-by-step explanation:

Let's use a sample number of 100 miles

If 3/8 was traveled the first day, then 37.5m were traveled on the first day.

Now on Sunday, there are 62.5m remaining in the trip. They travel 3/5 of that, meaning they went 62.5 * 3/5m. This turns out to be 37.5 miles that were traveled on Sunday.

37.5/100 = 3.8

Select the correct answer. A linear function graph of the x-axis and y-axis has a diagonal line that passes the x-axis at (minus 0.5, 0), and the y-axis at (0, 1) In the function above, the slope will be multiplied by , and the y-value of the y-intercept will be increased by 3 units. Which of the following graphs best represents the new function?

Answers

Answer: Graph Y

Step-by-step explanation:

An angle measures 8.8° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Based on the definition of complementary angles, the two angles are: 49.4° and 40.6°.

What are Complementary Angles?

Angles that are complementary angles have a sum of 90 degrees.

Let the angle be represented as x

Complement of the angle = (90 - x)

Therefore, we would have:

x = (90 - x) + 8.8

x = 90 - x + 8.8

x = 98.8 - x

x + x = 98.8

2x = 98.8

x = 98.8/2

x = 49.4°

The second angle would be: 90 - 49.4 = 40.6°

The angles are 49.4° and 40.6°.

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The ratio of butter:flour:sugar in a recipe is 1:9:6. When using 8 cups of sugar in this recipe, how many total cups of ingredients will be used

Answers

Answer:

21 and a third cups bxisjsbdn

Which of the following values is not a perfect square?
a.81
b.125
c.49
d.100

Answers

Answer: b. 125

Step-by-step explanation:

Find the square roots of each, and if the square root is a decimal, it is not a perfect square.

Square root of 81: 9

Square root of 49: 7

Square root of 100: 10

That leaves 125.

Correct ANSWER
C:49

You start driving west for 20 miles, turn left, and drive south for another 14 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile

Answers

by using these measurements and drawing out a triangle, you have two sides “a” and “b” and are trying to find “c”. using pythagorean theorem you can determine that “a^2 + b^2 = c^2”. plug in your distances (20 and 14) and you get 24.4 as your distance.

Answer:

24.4

Step-by-step explanation:

all numbers less than 7 and greater than 7

Answers

Step-by-step explanation:

123456 less then 7

unlimited greater then 7

The numbers from negative infinity to 7, excluding 7."are less than 7 and "all numbers from 7 to positive infinity, excluding 7" are more than 7.

The combination of positive, negative numbers including 0  are called as integers.

The numbers less than 7 are:

This set includes all real numbers that are strictly less than 7.

It can be denoted as (-∞, 7), which means "all numbers from negative infinity to 7, excluding 7."

The numbers greater than 7 are:

This set includes all real numbers that are strictly greater than 7. It can be denoted as (7, +∞), which means "all numbers from 7 to positive infinity, excluding 7."

Thus, there are infinite numbers which are less than 7 and more than 7.

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Which piece of additional information can be used to prove triangle cea triangle cdb

Answers

Answer:

well I don't get the question

PLEASE HELP 80 POINTS!!!!!

Answers

Answer: reflection across x axis and y axis?

Step-by-step explanation: repost question with the possible answers!

determine the slope of the line

Answers

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line

m = [tex]\frac{6-0}{0-(-3)}[/tex] = [tex]\frac{6}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Use the graph to find the solution.

Given the graph of w(x), w(2) = ?

(the graph is below)

THE FIRST ANSWER WILL GET BRAINLIEST OR 5 STARS! PLEASE ANSWER QUICK :)

Answers

Answer:

W(2) = 5

Step-by-step explanation:

Because when you look at the graph, the y value is 5 when the x value is 2.

Answer:

w(2) = 5

Step-by-step explanation:

by using rise over run to find the slope easily, you get a slope of 4 and an equation of w(x) = 4x - 3, -3 being the y-intercept

to calculate w(2):

w(2) = 4(2) - 3

w(2) = 8 - 3

w(2) = 5

or you could just look at when y is 2 and see that the corresponding x value is 5 but i wanted to provide a longer explanation in case :)

Select the correct equation.
The focus and directrix of a parabola are shown. What is the equation of the parabola?

Answers

Check the picture below, so the parabola looks more or less like that one, with a "p" distance of 2 units that is positive, whilst the vertex, which is always half-way between the focus point and the directrix is where you see it there, thus

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=-1\\ k=2\\ p=2 \end{cases}\implies 4(2)( ~~ x-(-1) ~~ )~~ = ~~(y-2)^2\implies 8(x+1)=(y-2)^2 \\\\\\ x+1=\cfrac{1}{8}(y-2)^2\implies \boxed{x=\cfrac{1}{8}(y-2)^2-1}[/tex]

Answer: UR WELCOME

Step-by-step explanation: ANSWER ON EDMENTUM

How to find the answers?​

Answers

The computation shows that the value of blue which is represented by x is 12.

How to calculate the value?

From the information given, it was stated that 30 people were in the kindergarten.

Green = 10

Red = 8

Blue (x) = 30 - (10 + 8)

= 30 - 18

= 12

Since the teacher want to paint the class with the most favorite color, the appropriate color to use will be blue.

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Express in standard form : 4786.3460

Answers

Answer:round to nearest hundredth (4,786.3)

Step-by-step explanation:

hope this helps, if wrong im so sorry :(

Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder yx and the planes zy and z0.

Answers

The volume of wedge is 4/15 by use of Triple integral.

According to the statement

we  have to find the volume of wedge which is bounded by the parabolic cylinder.

So, because of the given shape of z=√y

the plane y=0 is a boundary, in addition to the given x = 0, z = 0.

so we are in the first octant for all of this. and the further constraint is the plane x + y = 1

Triple integrals are 3 successive integrations, used to calculate a volume, or to integrate in a 4th dimension, over 3 other independent dimensions.

but as a triple integral you would write:

∫x=0 ∫y=0∫z=0 dz dy dx

And after put the values in it and solving it we get the

[−4/15(1−x)^5/2] at x=0

Then after that the answer will become 4/15.

So, The volume of wedge is 4/15 by use of Triple integral.

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please solve this it an urgent maths question

Answers

The given magic numbers are placed in the appropriate squares, so that the sum in each row, column and diagonal is all equal as shown below.

How to place the numbers in a magic square?

First of all, we would rewrite all the rational numbers in their lowest forms:

32/38 = 16/1918/38 = 9/194/38 = 2/19-14/-38 = -7/-1924/38 = 12/19104/52 = 2/170/95 = 14/1925/95 = 5/1922/38 = 11/19-16/-38 = -8/-1960/114 = 10/19-18/-57 = -6/-19-21/-133 = -3/-1945/57 = 15/19

Next, we would write the sum of the numbers in each row as follows:

First row: 16/19 + 9/19 + 2/19 + (-7/-19) = 34/19

Second row: (-6/-19) + (-3/-19) + 12/19 + 2/1 = 34/19

Third row: 11/19 + 14/19 + 5/19 + (-4/-19) = 34/19

Fourth row: 1/19 + (-8/-19) + 15/19 + 10/19 = 34/19

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Question 6 of 25
A high school teacher grades a math test. She wants to see the numerical
grade of each student. Which item should she use so she can quickly see
how many students got each score?
A. None of these
B. Frequency table
OC. Line plot
OD. Pie chart

Answers

The answer to this question is B

On a normal distribution of iq test scores, the average score would be:

Answers

The average IQ test score would be 100.

What is a normal distribution?

A probability distribution that is symmetric about the mean or average is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the average value occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

Average IQ Score

A score of 100 is regarded as the average IQ on various tests. The majority of results (68%) are within one standard deviation of the mean (that is, between 85 and 115). This indicates that the average result is within plus or minus 15 points for almost 70% of test takers.

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Consider a simple computer system with an L1 cache. Initially we map the logical addresses directly to the physical addresses, that is the logical address is always the same as physical address, and there is no virtual memory.L1 cache access time: 2 nsL1 cache hit ratio: 97%Main Memory access time: 30 nsi.) Compute the effective memory access time assuming the parameters above; give the main steps of your derivation in a few lines.ii.) Then, assume we add virtual memory with 2-level hierarchical paging. All page tables are always in the main memory. The system doesnt have a TLB. Compute effective memory access time assuming:Page fault overhead: 100 msPage fault rate: 0.0005Give the main steps of your derivation.Assume that the page fault overhead includes the final memory access time as well as the time needed to access and update the page tables/L1 cache, in addition to disk transfer time. the three party slogans on the side of the building are paradoxes. explain why. Find the indicated partial derivative. f(x, y, z) = e^xyz^7; f_xyz f_xyz(x, y, z) = "Hormones secreted into the hypophyseal portal system are delivered directly to the ________.A. neurohypophysisB. adenohypophysisC. median eminenceD. infundibulum" Let F(x) = e^-5t4 dt. Find the MacLaurin polynomial of degree 5 for F(x). a neuronal circuit that concentrates or directs a large number of incoming impulses to a rather small number of neurons is called a(n): a. converging circuit. b. diverging circuit. c. parallel circuit. d. oscillating circuit. explain how to find the change of basis matrix pcb Categorize fossil record evidence based on whether it indicates the occurrence of a dispersal event or a vicariance event. 1. Ancestral lemur fossils are found in eastern Africa, and present day lemurs are found only on Madagascar.2. Elephant bird fossils are found only on Madagascar. 3. Similar plant fossils appear on either side of the Grand Canyon. 4. The separation of Gondwana from Laurasia resulted in the speciation of modern-day parrots. what is the final pressure of a system ( atm ) that has the volume increased from 0.75 l to 2.4 l with an initial pressure of 1.25 atm ? the mississippi river is a good example of what channel type?A. Curving B. Meandering C. Straight D. Braided Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand is $50.00. Her best guess is that she can sell 300 cups per week at $0.50 per cup. The variable cost of producing a cup of lemonade is $0.20.a. Given her other assumptions, what level of sales volume will enable Julie to break even?b. Given her other assumptions, discuss how a change in sales volume affects profit.c. Given her other assumptions, discuss how a change in sales volume and variable cost jointly affect profit.d. Use excels Formula Auditing tools to show which cells in your spreadsheet affect profit directly. At 600C, gaseous CO and Cl2 are mixed together in a closed container. At the instant they are mixed, their concentrations are CO = 0.79 mol/L and Cl2 = 0.69 mol/L. After equilibrium is established, their concentrations are CO = 0.25 mol/L and Cl2 = 0.15 mol/L. Evaluate the equilibrium constant for the reaction What was the primary effect of US imperialism in China? Based on what we discussed about human memory, which of these strategies would be least effective when studying for a test? a. Using personally-relevant information to help when encoding the material b. Stopping periodically to quiz yourself on what you just reviewed C. Engaging in one unbroken study session in an.attempt_to avoid distractions d. Studying in an environment with a noise level similar.to the classroom where the exam will be 23. In the context of encoding, the testing effect refers to: 4 Rahul Barla a. impaired recall due to testing anxiety b. improved memory for information that is tested as opposed to rehearsed c. participants' performance on laboratory tests of memory as opposed to everyday situations d. improved test performance following deep processing of information Place the entries in the order required to conform to MLA guidelines. The scatter plot shows the relationship between the length and width of a 2 points certain type of flower petal. Enter the y-intercept (b) and approximate slope (m) of the best fit line. Write your answer b=____m=_____. rice and wheat may be called ____ if increase in price leads to increase in demand. a hydroelectric facility operates with an elevatiom difference of 50 m with a flow rate of 500m^3/s. if the rotational speed of the turbine is 90 rpm, determine the most suitable type of turbine Which of the following Earth materials is MOST resistant to solution? A) limestone. B) sodium. C) magnesium. D) aluminum. E) calcium. D) aluminum. help please