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If $-3\le x+5 \le 8$ and $x$ is an integer, what is the sum of all the possible solutions?

Answers

Answer 1

Add -5 to each side of the inequality:

-3 ≤ x + 5 ≤ 8

-3 - 5 ≤ x + 5 - 5 ≤ 8 - 5

-8 ≤ x ≤ 3

Since x is an integer, there are 12 possible solutions belonging to {-8, -7, ..., 1, 2, 3}. In the sum of these solutions, the integers -3 to 3 cancel out, and the rest give

-8 - 7 - 6 - 5 - 4 = -30


Related Questions

_multiply(-26) = -468

please help who will give me full solution I will mark him/her brainlist​ please help please please

Answers

Answer:

Step-by-step explanation:

Note

I think the question means "What do you multiply -26 by to get - 468

call the number that you need x

x * -26 = - 468                        Divide both sides by - 26

-26x/-26 = - 468/ - 26           There are 2 minus signs on the right. They cancel.

x = 18

Conclusion

When you multiply 18 * -26 the answer is --468

Answer: 18

Sheila counted 9 blue jays and 21 sparrows at the bird feeder. What was the ratio of blue jays to sparrows?

Answers

Answer:

9/21

= 1/7

Step-by-step explanation:

ratio means the comparison of two things


A fighter tank targets an enemy helicopter flying at an altitude of 1250 ft. If the ground
distance between the tank & the helicopter is 875 ft, what angle of elevation must the
cannon be raised to in order to hit the target?

Answers

By using trigonometric relations, we will see that the angle of elevation must be 55°.

How to find the angle of elevation?

We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.

The angle of elevation is the angle such that the adjacent cathetus is the one measuring 875ft.

Then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

tan(a) = 1250ft/875ft

To find the angle of elevation, we can use the inverse tangent function:

a = Atan(1250ft/875ft) = 55°

The angle of elevation must be 55 degrees.

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2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the Box Plot

Answers

The measures of central tendency for this data set are as follows:

Mean = 3.55.Median = 3.5.Mode = 3.

How to calculate measures of central tendency?

In Mathematics, there are three (3) main measures of central tendency and these include the following:

MeanMedianMode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

How to calculate the mode?

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

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Decagon, a=22 m, s=14.3 m

Answers

The area of the decagon is 1573.39 square meters

How to determine the area of the decagon?

The given parameters are:

Side length, s = 14.3 mApothem, a = 22 m

The area of a decagon is calculated using:

[tex]A = \frac 52s^2\sqrt{5 + 2\sqrt 5[/tex]

Substitute 14.3 for s

[tex]A = \frac 52 * 14.3^2\sqrt{5 + 2\sqrt 5[/tex]

Evaluate the exponent

[tex]A = \frac 52 * 204.49\sqrt{5 + 2\sqrt 5[/tex]

Evaluate the product and the roots

A = 1573.39

Hence, the area of the decagon is 1573.39 square meters

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need help would be apperacited .​

Answers

A function on a graph to figure it out you can do the line test where you draw a line through the graph and if the line touches two points its not a function. With this in mind bottom right is for sure one and the top left looks like one but i cant really tell...

Step-by-step explanation:

Okay I just got here I got a new car and I got my truck and I got my bike and I’m going to park now so I’m going to go buy one then I’ll stop bye bye buddy bye then I will see if he gets me too buddy I

CAN SOMEONE HELP ME PLEASE? I’LL GIVE YOU FREE EASY POINTS IF YOU GIVE ME THE RIGHT ANSWER.. NO WRONG ANSWERS PLS!!

Answers

see the attachment..........

50pts PLEASE HURRY UP I WILL GIVE BRAINLEST SHOW ALL OF YOUR WORK ANSWER ALL THE QUESTIONS

Use the spinner to answer the practice problems below:

Alice spins the spinner 2 times

What is the probability that the spinner stops on A and then B. or on B and then A?

Maria will spin the arrow on the spinner 2 times.

What is the probability that the arrow will stop on the same letter twice?​

Answers

Answer:

In two spins, there are 9 possible outcomes:  AA, AB, AC, BA, BB, BC, CA, CB, CCIf we assume each of these is equally likely, then the probability of AB or BA is ...  2/9

Step-by-step explanation:

The table lists the test scores William and Andre received on five math assessments.

William’s Scores Andre’s Scores
89
90
97
74
78
73
81
87
91
82
Which statement best describes the difference of the mean of the two data sets?

Answers

statement best describes the difference of the mean of the two data sets 2.8 is about 1.5 times the mean absolute deviation of either set.

What is mean?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The mean of William's set.

To find the mean, add all of the data points together and divide by the number of data points:

=89+90+97+74+78/5

=85.6

Now, mean absolute deviation,

=|89-85.6|+|90-85.6|+|97-85.6|+|74-85.6|+|78-85.6|/5

= 3.4+4.4+11.4+11.6+7.6/5

=7.68.

The mean of Andre's set.

To find the mean, add all of the data points together and divide by the number of data points:

=73+81+87+91+82/5

=82.8

Now, mean absolute deviation,

=|73-82.8|+|81-82.8|+|87-82.8|+|91-82.8|+|82-82.8|/5

=9.8+1.8+4.2+8.2+0.8/5

= 4.96.

Hence, the difference between the means of the two sets is

85.6-82.8=2.8.

2.8 is about 1.5 times the mean absolute deviation of either set.

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Answer:

Step-by-step explanation:

nothing im just as lost as everyone else

Activity 2 :Collect the information on any one of the famous Mathematician :a) b) Bhaskara c) Shri Niwasan Ramanujan Aryabhatta please

Answers

Answer:

Bhāskara was a 7th-century mathematician and astronomer, who was the first to write numbers in the Hindu decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's work. 

Aryabhatta is the father of Indian mathematics. He was a great mathematician and astronomer of ancient India. His major work is known as Aryabhatiya. It consists of spherical trigonometry, quadratic equations, algebra, plane trigonometry, sums of power series, arithmetic.

Step-by-step explanation:

hope it helps you and give brainliest

Solve the proportion: 35=x20

Answers

Answer:

either x = 1.75 or x = 700 , question wasn't clear

Step-by-step explanation:

Because you put the x in front of 20 , you might be meaning x/20 (second answer listed)? Or, you put the variable on the wrong side of 20. (first answer listed)

If you meant to type 20x

35 = 20x

÷20   ÷20     *

1.75 = x

*divide both sides by 20 to isolate x

x = 1.75

(x = [tex]\frac{35}{20}[/tex])

--------------------------------------------------------------------------

If you meant to type x/20

35 = [tex]\frac{x}{20}[/tex]

·20   ·20       *

700 = x

*multiply both sides by 20 to isolate x

700 = x

Nayeli lights a 4\,\text{m}^24m 2 4, start text, m, end text, squared space with 121212 candles. Citlali lights a 10\,\text{m}^210m 2 10, start text, m, end text, squared space with 303030 of the same type of candles. Whose space is lit brighter? Choose 1 answer: help me im graded at this

Answers

Using proportions, it is found that both spaces have the same brightness, as both have 3 candles per m².

The correct question is as given below:-

Nayeli lights a 4 square meter space with 12 candles. Citlali lights a 10 square meter space with 30 of the same type of candles. Whose space is lit brighter? Choose 1 answer: help me im graded at this

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For Nayeli and Citlali, the rate of candles per m² is given by:

N = 12/4 = 3 candles per m².

C = 30/10 = 3 candles per m².

Hence both spaces have the same brightness, as both have 3 candles per m².

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What are the coordinates of point F?

Answers

Answer:

C. 4, -2 1/2

Step-by-step explanation:

(x,y)

its kinda easy

The answer is A (4,-2 1/2) :)

Use the functions a(x) = 7x + 10 and b(x) = 12x - 18 to complete the function operations listed below.
Part A: Find (a + b)(x). Show your work.
Part B: Find (a - b)(x). Show your work.
Part C: Find (a - b)(x). Show your work.
Part D: Find a[b(x)]. Show your work.

Answers

The value of the sum, difference and composite function a[b(x)] are 19x - 8, -5x + 28 and 84x - 136 respectively

Sum and difference of functions

Given the following functions a(x) = 7x + 10 and b(x) = 12x - 18

Take the sum

(a+b)(x) = a(x) + b(x)

(a+b)(x) = 7x + 10 + 12x - 18

(a+b)(x) = 19x- 8

Take the difference

(a-b)(x) = a(x) - b(x)

(a-b)(x) = 7x + 10 - 12x + 18

(a-b)(x) = -5x + 28

For the composite function a[b(x)].

a(12x- 18) = 7(12x-18) - 10

a[b(x)] = 84x - 126 - 10

a[b(x)] = 84x - 136

Hence the value of the sum, difference and composite function a[b(x)] are 19x - 8, -5x + 28 and 84x - 136 respectively

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What is the probability of drawing an ace, a 2, and a 3, without replacement?

Answers

The probability of drawing an ace will be 8 / 16575.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be calculated as follows:-

P = [tex]\dfrac{4}{52}\times \dfrac{4}{51}\times\dfrac{4}{50}[/tex]

P = [tex]\dfrac{8 }{ 16575}[/tex]

Therefore the probability of drawing an ace will be 8 / 16575.

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Work out the value of y in the equation
below.
бу
6y = 44 - 5у

Answers

Answer: Y = 6  1/2

Step-by-step explanation: Let's begin,

step 1) Isolate the variable by dividing each side by factors that don't contain the variable.

Then, Exact Form:

y = 13/2

Decimal Form:

y = 6.5

Mixed Number Form:

y = 6  1/2

this is probability can someone please give me an answer

Answers

Answer:

The experimental probability is 4%

Step-by-step explanation:

50 POINTS!! What is (-4, 3) (-3, -1) in point slope form?
Y=4x+16
Y-3=-4(x+4)

Answers

Answer: y - 3 = -4(x + 4)

Explanation:

[tex]\bf point \ slope \ form: y-y_{1}=m\left(x-x_{1}\right)[/tex]

Find the slope:      given points: (-4, 3), (-3, -1)

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Insert values

[tex]\rightarrow \sf slope: \ \dfrac{-1-3}{-3-(-4)} =-4[/tex]

Equation in point slope form:

[tex]\sf\rightarrow y - 3 = -4(x - (-4))[/tex]

[tex]\sf\rightarrow y - 3 =-4(x + 4)[/tex]

Additional, in slope intercept form:

[tex]\sf\rightarrow y = mx + b \quad where \ 'm \ is \ slope' \ and \ 'b \ is \ y-intercept'[/tex]

[tex]\sf\rightarrow y = -4 x - 16 +3[/tex]

[tex]\sf\rightarrow y = -4x -13[/tex]

Please help you can see how stressed I am

Answers

answer send in this photo there is answer any doubt you can ask again

You bought 3 pounds of strawberries and 1 pound of blueberries for $8.40 to make pies for the summer festival. Your friend helped and bought 2 pounds of strawberries and 2 pounds of blueberries for $10.08. How much did a pound of blueberries cost? Let the cost of each pound of strawberries =x and the cost of each pound of blueberries = y

Answers

Step-by-step explanation:

3x + y = 8.4

2x + 2y = 10.08

x + y = 5.04

y = 5.04 - x

we use this then in the first equation

3x + 5.04 - x = 8.4

2x = 3.36

x = 3.36/2 = $1.68

y = 5.04 - x = 5.04 - 1.68 = $3.36

blueberries cost $3.36 per pound.

The line passes through point (0,6) and has a slope of 7. The equation of the line is?

Answers

Answer:

y = 7x + 6

Step-by-step explanation:

The general equation for a line in slope-intercept form is:

y = mx + b

In this form, "m" is the slope and "b" is the y-intercept. Remember, the y-intercept is the y-value when x = 0. As such, the point (0,6) gives you the y-intercept.

You have been given the slope (7) and the y-intercept (6). Therefore, you can just substitute these values in for their variables to determine the equation of the line.

slope = m = 7

y-intercept = b = 6

y = mx + b

y = 7x + 6

The radius of the larger circle is 5m. The radius of the smaller circle is 2.5m. What’s the approximate area of the shaded region of the larger circle?

Answers

Answer: C

Step-by-step explanation:

A patient has been prescribed 1 gram (g) of Drug A. The stock dose is available in 250 milligram (mg) tablets. How many tablets would you administer per dose?

Answers

Answer:

4

Step-by-step explanation:

1 g = 1,000 mg

1,000/250 = 4

What percent of the first 20 natural numbers are prime one-digit numbers?

Answers

Answer:

5%

Step-by-step explanation:

The first 20 single digit first numbers are 2,3,5 and 7. Thus they are four.

So next we calculate the percentage:

⇒ 4  ×  100% = 1  × 100%  =  5%

   20                20

A pulley is used to pull a boat to the dock. The rope is attached to the boat 7 feet below the level of the pulley. What is the distance from the boat to the dock when the rope is 25 feet long?

Answers

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

[tex]7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}[/tex]

Which expression is equivalent to – 2 log2 x + 4 log2 y + 4 log2 z? log base 2 of the quantity x squared y to the fourth all divided by z to the fourth log base 2 of the quantity y to the fourth z to the fourth all divided by x squared log base 2 of the quantity y times z to the fourth all divided by x squared log base 2 of the quantity yz divided by x end quantity raised to the sixth

Answers

The expression equivalent to -2log₂x + 4log₂y + 4log₂z is log₂(yz)⁴/x².

To answer the question, we need to know the laws of logarithm

Laws of logarithmpower law - nlogₐx = logₐxⁿaddition law - logₐx + logₐy = logₐxy

Since we want to find the expression equivalent to -2log₂x + 4log₂y + 4log₂z, we simplify using these laws, we have

-2log₂x + 4log₂y + 4log₂z = log₂x⁻² + log₂y⁴ + log₂z⁴ (appying the power law)

= log₂x⁻²y⁴z⁴ (applying the multiplication law)

= log₂y⁴z⁴/x²

= log₂(yz)⁴/x²

So, the expression equivalent to -2log₂x + 4log₂y + 4log₂z is log₂(yz)⁴/x².

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Answer:

C.log_2(yz^4/x^2)

Step-by-step explanation:

I took the Algebra exam

pls help i will give brainliest. use the examples step to solve the problems,it's my second time posting this​

Answers

Answer:

A=144cm2,B=33cm2,C=18cm2,D=21.98cm2

Step-by-step explanation:

A=12*12

B=11*3

C=1/2*4*9

D=π*7cm2. (π = 3.14

By using a problem-solution structure, the author is able to show readers how people are hurting the planet. The structure also shows how we can change and what we can do to help solve the problems we have caused. It inspires people to take action

Answers

Answer:

One of the problems humans have made is a large amount of pollution.

And so some of the ways we can fix this is;

1- Using electric cars.

2- Using reusable packaging.

3- For the final one you could use stuff that easily and quickly to break down naturally materials.

Step-by-step explanation:

Find the slope of a line parallel to the line that passes through (-4, -1) and (-1, 3)

Answers

Answer:

[tex] \boxed{\rm \: Slope(m)= \cfrac{4}{ 3} }[/tex]

OR

[tex] \boxed{\rm \: Slope(m) \approx \: 1.30} \rm \: (nearest \: tenth)[/tex]

Step-by-step explanation:

Given two coordinates:

(-4, -1) and (-1, 3)

To Find:

The slope of given two coordinates

Solution:

In this case,we'll need to use the slope's formula,to get the slope.

Here's the formula:

[tex] \rm \: Slope(m)= \: \cfrac{ y_2 -y_1 }{x_2 - x_1} [/tex]

Slope is usually denoted as m.

According to the question:

[tex] \rm (y_2 , y _1) = (3,-1)[/tex][tex]\rm (x_2 , x_1) = (-1,-4)[/tex]

Substitute them accordingly:

[tex] \rm \: Slope(m)= \cfrac{3 - ( - 1)}{ - 1 - ( - 4)} [/tex]

Simplify then, using a rule called PEMDAS.

[tex] \rm \: Slope(m)= \cfrac{3 + 1}{ - 1 +4 } [/tex]

[tex] \rm \: Slope(m)= \cfrac{4}{ 3} [/tex]

[tex] \rm \: Slope(m) \approx \: 1.30[/tex]

Hence, we can conclude that:

The slope of a line parallel to the line that passes through (-4, -1) and (-1, 3) is 4/3 in exact form and 1.30 in approximate decimal form.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of a line parallel to the line that passes through

[tex]\star~\mathrm{(-4,-1)}\star[/tex]

[tex]\star~\mathrm{(-1,3)}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

The slope formula will help us out! :)

Here's the formula:

[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the given values:

[tex]\star\mathrm{\cfrac{3-(-1)}{-1-(-4)}}[/tex]

Simplify!

[tex]\star\mathrm{\cfrac{3+1}{-1+4}}[/tex]

Simplify more!

[tex]\star\mathrm{\cfrac{4}{3}}[/tex]

Now, what is the slope of the line parallel to this one?

Well, parallel lines have the same slope.

[tex]\star \ \mathrm{The \ slope \ of \ the \ line \ parallel \ to \ this \ one \ is \ \cfrac{4}{3}}.[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

In a class of 28 students, 21 have a cat and 9 have a dog. There are 7 students who
have a cat and a dog. What is the probability that a student has a dog given that they
do not have a cat?

Answers

The probability that a student has a dog given that they do not have a cat is 1/14.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

In a class of 28 students, 21 have a cat and 9 have a dog.

There are 7 students who have a cat and a dog.

The probability that a student has a dog given that they do not have a cat

= 2/ 28

= 1/14

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Other Questions
Explain the difference between statistical significance and practical significance. find the altitude of a kite where 120 feet of string makes a 64 degree angle to the ground ill give brainly and 20 points Where should you look to find information about the company and position before your interview?O in Yellow PagesO in the newspaperO in the business sectionO on the company website How does the kinetic energy from the forward motion of a car traveling at 16 m/scompare with the kinetic energy of the same car traveling at 8 m/s?(A) It is 2 times greater.(C) It is 8 times greater.(B) It is 4 times greater.(D)It is 16 times greater. William is writing a research question to drive his study about the difference between the USDA's recommendations regarding the consumption of dairy products and current research on the subject.Which question is most effective for guiding William's research?A. Why do the USDAs current recommendations regarding the consumption of dairy products contradict current research findings?B. Who does the USDA consult in the research community when considering whether to change their guidelines concerning dairy product consumption?C. How often does the USDA apply current research findings to update their guidelines concerning the consumption of dairy products?D. How does the USDA work with researchers to update their recommendations to the public regarding dairy product consumption? I need help with this question (open-ended question) 50 points (NO BOTS!!!)Choose TWO locations below (A, B, C) and provide a two-sentence weather forecast for that location. Your forecast must include Wind direction, general wind speed (high, moderate, low) general temperatures (cold, cool, mild, warm, hot), and sky conditions(precipitation/stormy, sunny cloudy). Quadrilateral ABCD has the following coordinates: A(-6,3) B(-4,5) C(-1,6) and D(-3,2) andmaps onto A"B"C"D". It will undergo transformations that will consist of a reflection overthe y-axis followed by a translation. Point D" is shown plotted in the plane after thetransformation.A) Write the translation rule that maps point D' to point D".B) Write the coordinates of point A" To the nearest thousandth, what is the decimal form of 9/14 Using the (DMP) Model. (1) What determines a consumers decision to search for work? (2) What determines a firms decision to post a vacancy? (3) When a worker and firm are matched, what determines the wage paid to the worker? (4) Discuss the likely equilibrium effects of unemployment benefit (b) in the DMP model a student investigates the efficiency of a scale model of an electricity generating wind turbine using the equipment in figure 1. the student changed the number of sales on the turbine and measures the power output from the turbine's generator. the air blower is supplied with 533w and has efficiency of 0.62. when using two sails, the efficiency of turbine was 13%. calculate the power generated. One difference between the war in korea in the early 1950s and the war in vietnam in the late 1960s is that:. The troupes account balance first reached $500 on Day 4. The last day the account balance was $500 was Day 8.(a) Determine C(5), C(6), and C(7). Explain how you determined these amounts.(b) Estimate C(1), C(2), and C(3). Explain how you determined these amounts.(c) The stage manager said that the amount of money taken out of the account each day between Day 8 and Day 11 was the same amount of money put into the account each day between Day 0 and Day 4. Recall that Day 11 is when the balance first reached $0. Without doing any calculations, how could you show the stage manager was incorrect? The volume of a water tank is 396 m^3. If it is 7.2 m long and 5.5 m wide. what is the depth of the tank ? A rectangle is 21 meters long and 11 meters wide. what is the perimeter of this rectangle? What do the four little trees that grow on the curb symbolize in The House on Mango Street? They represent the disappointment Esperanza feels about the house on Mango Street. They represent Esperanza and the hope she has that she will thrive and be successful. They demonstrate that Mango Street is an inhospitable place to live. They contrast with the large trees that Esperanza dreamed would surround her house. The plantation system used in the Southern colonies started because:A: the climate was too cold for growing cash crops.B: other colonies refused to buy Southern goods.C: wealthy farmers bought huge amounts of land.D: slavery was outlawed in all English colonies. how can i find area of abd triangle. ............. what is the distance from (7,0)- (-5,5) The diagram shows a regular polygon.xWhat is the value of x?Write your answer as an integer or as a decimal rounded to the nearest tenth.