What is the image point of (8, -3) after a translation right 5 units and down 5 units?

Answers

Answer 1
The coordinate would be (13,-8)

Related Questions

a. ​no, the program is not statistically significant because the results are unlikely to occur by chance. b. ​no, the program is not statistically significant because the results are likely to occur by chance. your answer is correct.c. ​yes, the program is statistically significant because the results are likely to occur by chance. d. ​yes, the program is statistically significant because the results are unlikely to occur by chance. part 2

Answers

The weight loss program is not statistically significant because the results are likely to occur by chance. (Option D)

What is statistical significance?Statistical significance can be used to determine whether a result is more likely the consequence of chance or an important element. Significant results simply imply that you can be sure they are true rather than that you were fortunate (or unfortunate) in the sample you used.

Now,

In the given case, 7 subjects have lost around 43 lbs and there is 22% chance of getting these results with a diet that has no effect.In accordance to the definition of statistical significance, it implies that the given program is more likely the consequence of chance.As a result, we can say that in such case, the result occur by chance, i.e., they are followed by a specific probability in terms of occurrence.  

Hence, the given program is not statistically significant because the results are likely to occur by chance. (Option D)

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(COMPLETE QUESTION:

Determine whether the results below appear to have statistical​ significance, and also determine whether the results have practical significance.

In a study of a weight loss​ program, 7 subjects lost an average of 43 lbs. It is found that there is about a 22​% chance of getting such results with a diet that has no effect.

Does the weight loss program have statistical​ significance?

A.No, the program is not statistically significant because the results are unlikely to occur by chance.

B.Yes, the program is statistically significant because the results are unlikely to occur by chance.

C.Yes, the program is statistically significant because the results are likely to occur by chance.

D.No, the program is not statistically significant because the results are likely to occur by chance.)

helpppppppppp meeeeeeeeeee 50points

Answers

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps


T V is tangent to the circle, and R and S are points on the circle. What is the value of x to the nearest tenth?
A 7.6
B 6.4
C 5.7
D 4.8

Answers

By applying the Tangent Secant Theorem to this circle, the value of x to the nearest tenth is equal to: A. 5.7.

What is the Tangent Secant Theorem?

The Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.

By applying the Tangent Secant Theorem to this circle, we have:

(x + x + 3) × x = 9²

(x + 3)x = 81

2x² + 3x = 81

2x² + 3x - 81 = 0

Next, we would solve the quadratic equation by using the quadratic formula:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-3\; \pm \;\sqrt{3^2 - 4(2)(-81)}}{2 \times 2}\\\\x = \frac{-3\; \pm \;\sqrt{9 + 648}}{4}\\\\x = \frac{-3\; \pm \;\sqrt{657}}{4}[/tex]

x = 5.7 or -7.2

Since the line segment cannot be negative, the value of x to the nearest tenth is equal to 5.7.

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Look at both pictures before answering
only answer if you are sure it's correct
if it's not correct I'm reporting :D
answer quickly bc I'm timed
you get 5 stars, nice comment, heart, and brainliest if you are the first corret answer

TY FOR READING THIS OMG UR SO NICE <3

Answers

Answer: A

Step-by-step explanation:

A. 2.6x 10^-7

Answer:

a

Step-by-step explanation:

because you move the decimal 7 times to the right to put it into scientific notation

The approximate weights of two animals are 5.36 x 10^4 lbs. and 6.2 x 10^4 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.

Answers

Answer: The total weights of the two animals is  11. 92 × 10² Ibs

Step-by-step explanation:

The circle x2 + y2 – 12x + 6y – 19 = 0 is translated one unit right and two units down. Which is the radius and center of the translated circle?

Center (6, –3); r = 8
Center (7, –5); r = 8
Center (6, –3); r = 64
Center (7, –5); r = 64

Answers

According to the question, the standard equation for the circle is [tex]x^{2} +y^{2} =r^{2}[/tex] in which the points (x, y) are the circumference point and 'r' is the radius of the circle.

The given expression for the circle is shown below:

[tex]x^{2} +y^{2} -12x+6y-19=0[/tex]

Bring same variable terms to one side and again re-write the expression:

[tex]x^{2} -12x+y^{2} +6y-19=0[/tex]

Now, to do factors of the given expression add and subtract 36,9 on both the sides

[tex]x^{2} -12x+36+y^{2} +6y+9=19+36+9[/tex]

Factors can be re-written as:

[tex](x-6)^{2} +(y+3)^{2}=64[/tex]

Comparing the calculated equation for the circle with the standard equation, we circle

The center points as (6,-3) and radius as (r = 8).

Hence, the correct answer is Center(6,-3), r = 8.

What is circle?

The circle can be defined as a symmetrical shaped. It has more than one points and all are at the equidistant from the center.

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Answer:

B

Center (7, –5); r = 8

Step-by-step explanation:

Selena Gomes owes her mom $5 she gets a part time job making $25/hour so she can pay her mom back & have her own money ?

Answers

Answer:

She will pay her mom back and have 20 dollars over if she works one hour.

Step-by-step explanation:

What are the arithmetic and geometric (answer in that order.) average returns for a stock with annual returns of 9.4 percent, 8.2 percent, -7.3 percent, 4.1 percent, and 9.5 percent?

Answers

The arithmetic and geometric average returns for a stock with annual returns of 9.4 percent, 8.2 percent, -7.3 percent, 4.1 percent, and 9.5 percent are 4.78% and 4.58% respectively.

What is a stock?

The shares of ownership in a corporation or company that make up stock (also known as capital stock) in the financial world. A single share of stock represents a fractional ownership in the firm in relation to the entire number of shares (especially in American English, where the word "stocks" is also used to refer to shares). This typically entitles the shareholder (stockholder) to that portion of the company's earnings, proceeds from the sale of assets (after paying off all senior claims such as secured and unsecured debt), or voting rights, often allocating these in proportion to the amount of money each stockholder has invested.

Calculations:

Arithmetic returns=Total returns/Total time period

=(9.4+8.2-7.3+4.1+9.5)/5=4.78%

Geometric returns=[(1+rate1)(1+rate2)........(1+rate5)]^(1/5)

=[(1+0.094)(1+0.082)(1-0.073)(1+0.041)(1+0.095)]^(1/5)

=4.58%

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Jackets cost the retailer $75 a piece to purchase wholesale. If he has five to sell and
doesn't sell them until 30 days have gone by, how much money does he lose? Remember
a loss is shown with a negative rational number.
with Rational Numbers

Answers

Answer:

Retailer will loss $375. If he didn't sell that Jackets until 30days.

Step-by-step explanation:

Given that

Jackets cost the retailer $75 a piece to purchase wholesaleHe has 5 Jackets for sell.

To find

If he didn't sell that all peace until 30 days then the lost of him.

So, according the question,

We have

The price of one peace Jacket = $75.The quantity of Jacket = 5

So, the money he loss to don't sell that Jackets in 30 days is the total cost of all jackets.

∴     The Total cost of all Jackets    = 75 × 5

                                                           = $375.

Answer: Retailer will loss $375.

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what is the argument in the logarithmic function f(x)=log,4

Answers

Answer:

The expression or number to which the logarithm is operated on is called the argument. From the mathematical expression (x=logbn) ( x = l o g b n ) , n is the argument of the logarithm. The argument of a log function is always positive and should not be equal to 1. Hope this answer helps you.

PLEASE HELP ME WITH THIS QUESTION!!!!!!!!!!!!!!
What are all solutions of the equation x3 = 64?

A. −8 and 8

B. 8 only

C. 4 only

D. −4 and 4

Answers

Answer:

Both Choice C, D

Step-by-step explanation:

A: Choice A cannot be the correct answer due to it being negative.

B: Choice B also cannot be part of the correct answer because 8 x 3 = 24

C: Choice C is part of the correct answer

D: Choice D is also part of the correct answer

What is the midpoint of PQ?

Answers

Answer:

Mpq= (

[tex] \frac{4 \times \frac{1}{3} + - 2 \times \frac{1}{5} }{2} and \frac{3 \times \frac{1}{6} + 3 \times \frac{2}{3} }{2} [/tex]

[tex] \frac{16}{15} \: and \frac{41}{12} [/tex]

midpoint for PQ is (16/15; 41/12)

Two hikers are 22 miles apart and walking toward each other. They meet in 4 hours. Find the rate of each hiker if one hiker walks 3.3 mph faster than the other.

Answers

Two hikers are 22 miles apart and walking toward the each other, they meet in 4 hours. The rate of each hiker if one hiker walks 3.3 mph faster than the other are 2.2mph, 2.2mph, 3.3mph.

What is a speed?

Distance divided by time is the dimension of speed. The SI measure of speed is the meter per second (m/s), although the most widely used unit in daily life is the kilometer per hour (km/h), or miles per hour in the US and the UK (mph). The knot is a popular choice for air and sea travel.

The instantaneous speed serves as the upper bound of the average speed as the duration of the time period gets closer to 0. The distance traveled by an object during a period of time divided by the length of the period gives the average speed of an object throughout that period. Velocity and speed are not the same thing.

Time divided by distance are the speed-related metrics. The kilometer per hour (km/h), or miles per hour in the US and UK, is the unit of speed that is most frequently used in daily life. The meter per second (m/s) is the metric unit of speed (mph). The knot is often used in air and sea transportation.

Since the hikers are moving at varying speeds, they collide in a location other than the center.

Let the distance travelled by Hiker A (slower) be x at speed s.

So, the distance travelled by Hiker B (faster) is (22 - x) at a speed (s + 1.1).

s = x / 4

s + 1.1 = 22 - x / 4

After resolving equations 1 and 2, we obtain:

x = 8.8m and s = 2.2mph

Therefore,

Speed of the Hiker A = 2.2 mph

Speed of the Hiker A = 2.2 mph

Speed of the Hiker B = 3.3 mph

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Find the value of LK

Answers

Answer:

LK = 7

Step-by-step explanation:

NK = NM + ML + LK ( substitute values )

23 = x - 6 + 9 + 2x - 19

23 = 3x - 16 ( add 16 to both sides )

39 = 3x ( divide both sides by 3 )

13 = x

Then

LK = 2x - 19 = 2(13) - 19 = 26 - 19 = 7


Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: An angle bisector divides an angle into two congruent angles. →KM is an angle bisector of ∠J K L .
Conclusion: ∠J K M ≅ ∠M K L battery is dead.

Answers

Answer:

Step-by-step explanation:

The answer to this my friend would be valid by the law of syllogism because our P is an angle bisector and our q is km. Our r is connecting to our p and says that they are congruent. Therefore if An angle bisector divides an angle into two congruent angles, then JKM and KML are congruent.

Hope this helps!

The Conclusion: ∠J K M ≅ ∠M K L is valid

Given data

An angle bisector divides an angle into two congruent angles. →KM is an angle bisector of ∠J K L .

What is bisection?

Bisection is a term in mathematics that refers to dividing into two equal parts. This term is used more in the branch of mathematics called geometry.

Bisection can be done for an angle or line, for a line the given line is divided into two equal parts. Angle bisector divides the given angle into two equal parts to give two equal angles

When angle JKL is bisected by line KM. The line will lead to two angles which are:

∠J K M ∠M K L

These two angles are congruent and are represented by the formula below: ∠J K M∠M K L

Hence we can say that the conclusion is valid

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Solve equation.
5 c=20

Answers

To solve the equation, divide both sides by 5. The solution is c = 4.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction or addition.Use division or multiplication to find the value of the variable.Recall that if  we subtract or add the same number to both sides of an equation, it does not change the equality.

The given problem:

Solve 5c = 20

Notice that the variable, c, is already isolated on the left side.

Divide both sides by 5:

5c : 5 = 20 : 5

c = 4 (solved)

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you are the administrator of an annual essay contest scholarship fund. this year a $52,000 college scholarship is being divided between the top two contestants so that the winner receives three times as much as the runner-up. how much will each contestant receive (in dollars)?

Answers

The amount each contestant will receive is as follows:

First position = $39,000Runner up = $13,000

How to find the amount each contestant will receive?

This year $52,000 college scholarship is being divided between the top two contestants .

Therefore,

Total amount to share to the top winners = 52000 dollars

The winner receives three times as much as the runner-up.

Therefore,

let

x = Amount received by the runner-up

Hence,

Amount the winner received = 3x

Therefore,

52,000 = 3x + x

52,000 = 4x

divide both sides by 4

4x / 4 = 52,000 / 4

x = 13000 dollars

Hence,

Amount the winner received =3(13000) = $39000

Amount received by the runner-up = $13,000

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Charlie watches as a pattern develops. In month 1, he starts with 3 guppy fish in his fish tank. The next month, he finds 6 guppy fish in his tank. The following month, he finds 11 guppy fish in his fish tank. Write an expression to model the pattern of guppy fish in Charlie’s fish tank. Use your expression to determine the number of guppy fish Charlie will observe in month 6.
In month 6, Charlie should observe
_______

Answers

The expression for modelling the pattern is n² + 2

Charlie can observe 38 guppy fish in month 6.

Given,

Number of guppy fish in Charlie's fish tank for the first time = 3

Number of guppy fish after one month = 6

Number of guppy fish in the following month = 11

The increasing pattern of guppy fish in the tank:

First month = 6 - 3 = 3

Second month = 11 - 6 = 5

So, we get that the number of guppy fish is increasing by odd numbers.

That is, 3, 6, 11, ........

Now, we have to find an expression for this pattern.

First term is 3.

That is, first term² + 2 = 1² + 2 = 3

Let n be the number of term.

n = 3

So, third term be:

3² + 2 = 9 + 2 = 11

So the expression for modelling the pattern is n² + 2

Now, we have to find the number of guppy fish in month 6.

That is,

n = 6

So,

n² + 2

6² + 2 = 36 + 2 = 38

That is, Charlie can observe 38 guppy fish in month 6.

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Find the equation of a line that is perpendicular to the line x = 11 and contains the point (7,6). some one help plsss

Answers

The equation of a line that is also perpendicular to the line [tex]x = 11[/tex] and contains the point [tex](7,6)[/tex] is [tex]y=6[/tex]

As per the question statement, we are supposed to find the equation of a line that is also perpendicular to the line [tex]x = 11[/tex] and contains the point [tex](7,6)[/tex].

Before solving that, we need to know that the given line [tex]x = 11[/tex] is parallel to the y-axis as no point is passing through y axis hence the slope [tex]m_{1}[/tex] of the given line will be [tex]\frac{1}{0}[/tex].

The required line is perpendicular to the given line, so it will be parallel to the x-axis and hence it's slope would be slope [tex]m_{2}[/tex] = [tex]0[/tex]

We know the equation of the line passing through a some point [tex]x_{1}[/tex] and [tex]y_{1}[/tex] having slope m is given by:

[tex]y-y_{1} =m_{2} (x-x_{1})[/tex]

Here the required line is passing through (7,6), hence substituting the values of [tex]x_{1}, y_{1} ,m_{2}[/tex], we get

[tex]y-6=0(x-7)[/tex]

or [tex]y-6=0[/tex]

or [tex]y=6[/tex]

Equation of a line: The equation of line is the algebraic method of representing the set of points which together forms a line in a coordinate system.

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rob drove to the nearest hospital with an average speed of v meters per seconds in t seconds. in terms of t, if he drives home on the same path, but with an average speed of 3v meters/second, how long is the return trip home?

Answers

The time used for the return trip is t / 3

How to find how long the trip took using the average speed?

He drove to the nearest hospital with an average speed of v meters per seconds in t seconds.

Therefore,

average speed  = distance / time

average speed = v

time used = t

d = distance covered

Therefore,

v = d / t

d = vt

He drives home on the same path, but with an average speed of 3v meters/second. The time used for the return trip is as follows:

Recall he covered the same distance.

Therefore,

average speed = 3v

time used for the return trip = x

d = distance

Hence,

3v = vt / x

x = vt / 3v

x = t / 3

Therefore,  the time used for the return trip is t / 3

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7 grade go math lesson 1.1 adding integers with a common sign

Answers

Adding integers with a common sign.

When adding two integers with a common sign, we just add the absolute value of the numbers and the resulting answer is marked with the same sign given in the question.

This question has two possible answers.

Possibility 1:

Both the integers are of positive sign. As a result, the resulting integer after addition is positive.

Example:

Let c = 45 and d = 53.

The sum of c and d is then

sum = c + d = 45 + 53 = 98

Possibility 2:

Both the integers are of negative sign. As a result, the resulting integer after addition is negative.

Example:

Assume c = -23 and d = -61.

The sum of c and d is then

sum = c + d = (-23) + (-61) = -(23 + 61) = -84

Hence, we have added integers with a common sign.

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PLEASE HELP & THANKS SO MUCH.

A: Domain: (1.25,0) Range: (0,1)


B: Domain: −2≤x≤2 Range: −2≤y≤3

C: Domain: −2≤x≤3 Range:−2≤y≤2

D: Domain: −4≤x≤4 Range: −4≤y≤4

E: Domain: −2≤x≤2 Range: −3≤y≤3

Answers

The Domain of the given function is −2≤x≤2 and the range of the given function are −2≤y≤3.

The domain of a graphical function refers to all the input values which are shown or plotted on the x-axis. The domain of a function may be defined as the set of values that are assumed for the function.

The range of a graphical function refers to all the input values which are shown or plotted on the y-axis. The range of a function may be defined as the set of values that the function gives after assuming the input values for the function.

Here in the graph, the set of input values on the x-axis are from -2 to 2. Thus, the domain is −2≤x≤2. Also, the set of input values on the y-axis is from -2 to 3. Thus, the range is −2≤y≤3.

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the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?

Answers

Answer:

Use distance formula between these points to find length of one side of the square.....then multiply by 4 sides

sqrt( 5^2 + 12^2 ) =   13 units  side length

Step-by-step explanation:

And i think you can go from there if not please ask me to do the rest for you

in 2016, taxicabs in los angeles charged an initial fee of $2.85 plus $2.70 per mile. in equation form, fare

Answers

If the taxicabs in Los Angeles charged an initial fee of $2.85 plus $2.70 per mile, the the equation of the fare is 2.85+2.70x

Given,

The initial fee of taxi cab = $2.85

The charges per mile = $2.70

Consider the number of miles as x

Then,

The equation of the fare = 2.85+2.70x

Hence, If the taxicabs in Los Angeles charged an initial fee of $2.85 plus $2.70 per mile, the the equation of the fare is 2.85+2.70x.

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4x⁰y–²z³ divided by 4x

Answers

Answer:

Step-by-step explanation:

z³/xy²

Write a expression for the following problem.
Frank was going on a trip. He filled his car with 14 gallons of gas. He then drove to his destination and used 14 gallons of gas.

Answers

The expression is 14 - 14.

What is the expression?

Subtraction is a mathematical operation that is used to determine the difference between two or more numbers. The sign used to depict subtraction is -. Other mathematical operations are addition, multiplication and division.

In order to determine the expression for the amount of gas left, we need to subtract the gas bought from the gas used: 14 - 14

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Given the simultaneous equations 2x - y = 1 x² + 4ky + 5k = 0 where k is a non-zero constant show that x² + 8kx + k = 0. Given that x² + 8kx + k = 0 has equal roots.​

Answers

a) [tex]x^{2}[/tex]+8kx +k=0,   b) k=1/16

Here we have equation is 2x -y = 1 , [tex]x^{2}[/tex]+4ky+5k=0

To show that [tex]x^{2}[/tex] +8kx +k =0, we have two equation 2x-y=1 and [tex]x^{2}[/tex] +4ky + 5k=0

So from the equation 2x - y = 1 we can find y

Therefore y = 2x-1

Now we will put the value of y in the equation [tex]x^{2}[/tex] + 4ky + 5k =0

a) We have [tex]x^{2}[/tex] + 4k(2x-1) +5k=0

              [tex]x^{2}[/tex] + 8kx -4k + 5k=0

             [tex]x^{2}[/tex] +8kx +k=0

b) Now we have to find the value of k, and as from the question it is given that [tex]x^{2}[/tex] + 8kx +k =0 have equal roots

Therefore we get [tex]b^{2}[/tex] + 4ac = 0 is the condition of the linear equation in two equal roots.

So from this we have b= 8k, a = -1, c= k

           [tex](8k)^{2}[/tex] - 4× 1×k =0

           64[tex]k^{2}[/tex] -4k =0

           4k(16k -1) =0

           16k-1=0

            k = 1/16

As k is a non-zero constant therefore we have not taken k=0. Therefore the value of k is 1/16.

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The complete question is:

Given the simultaneous equations 2x - y = 1 x² + 4ky + 5k = 0 where k is a non-zero constant a)show that x² + 8kx + k = 0. Given that x² + 8kx + k = 0 has equal roots., b) find the value of k.

Which inequality is true? Use the number line to help.

A number line going from negative 5 to positive 3 in increments of 1.

1.5 greater-than 2 and one-half
One-half greater-than 0.5
Negative 2.5 greater-than negative 1.5
Negative 3 and one-half greater-than negative 4.5

Answers

Answer:

Negative 2.5 greater-than negative 1.5

C

Step-by-step explanation:

-2.5 < -2

Determine the truth value of the following conditional.
14. If two adjacent angles form a right angle, the, then angles are complementary

Answers

The statement  that "If two adjacent angles form a right angle, then the angles are complementary", is true

How to determine the truth value of the conditional?

The conditional is given as:

If two adjacent angles form a right angle, then the angles are complementary

As a general rule, complementary angles add up to 90 degrees i.e. right angle

This means that adjacent angles that add up to 90 degrees are complementary angles

Hence, the statement  that "If two adjacent angles form a right angle, then the angles are complementary", is true

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Pleeeeeeeaaaaaaaaaase Help? I need asistance with how to solve an problem like this one.

Answers

Using the Triangle Midsegment Theorem, the value of x in the figure is: 4.

How to Apply the Triangle Midsegment Theorem?

The Triangle Midsegment Theorem states that:

The length of segment DE = 1/2(the length of segment BC)

Given the following;

DE = x + 1

BC = 4x - 6

Substitute

x + 1 = 1/2(4x - 6)

2(x + 1) = 4x - 6

2x + 2 = 4x - 6

2x + 2 - 4x = 4x - 6 - 4x

-2x + 2 = - 6

-2x + 2 - 2= - 6 - 2

-2x = -8

-2x/-2 = -8/-2

x = 4

Thus, using the Triangle Midsegment Theorem, the value of x in the figure is: 4.

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The two beakers below contain pure water.Which of the following properties is the same for both of these samples?A MassB WeightC VolumeD Boiling Point -9+n/4=-7 xPlease help.... Annie is making a homemade sports drink. what are the three main ingredients her drink should contain? enter your answer and show all the steps that you use to solve this problem in the space provided.find the distance between pointsm(6,16)andz(1,14)to the nearest tenth.1 2. In isosceles right Triangle PQR, Angle P = 90, PR = 6.7 m.stone Determine the length of QR. What are the defining features of monetarist macroeconomics and what policies do monetarist macroeconomists recommend? Help please, find the volume of this object. Only answer if you know please. Question below. corey bought 2122 start fraction, 1, divided by, 2, end fraction liters of paint for $60\$60$60dollar sign, 60. what was the cost per liter of paint? Can someone please help me with this question Im stuck What is the name for the process by which information is collected, recorded, and analyzed so that a company can make informed decisions about its marketing efforts? (d) Why did Thomson conclude that atoms also containa positive charge? who is the president in the usa right now your grandfather invested $2,000 in a stock 49 years ago. currently the value of his account is $208,000. what is his percentage compound rate of return over this period? which of the following questions will help individuals and organizations when deciding if their decisions are ethical? most osha electrical safety guidelines and regulations for construction are contained in subpart k, 29 cfr 1926, which is based on: Given the definitions of f(x) and g(x) below, find the value of (fog)(-3).f(x) = 3x - 7x-3g(x) = -4x - 10 if you are driving 120 km/h along a straight road and you look to the side for 2.2 s , how far do you travel during this inattentive period? Which best describes why candidates and politicians use the Internet? _____ can be calculated by multiplying the percent grade and the distance the belt travels. Question: How does the speaker feel in lines 7 and 8 with his hope fully confirmed?The speaker feels ecstatic at the sight of the flag still standing. It gives him hopefor the future ("long may it wave").The speaker's hope falters as he feels uncertain about the future while fullyimmersed in the middle of a war that will determine the outcome of his freedomas an American during the British bombardment at the battle of Fort McHenry in1814.