solve the following inequalities 7 x minus 5 / 8 x + 3 >4

Answers

Answer 1

Answer:

[tex]x> \frac{8}{51} [/tex]

Step-by-step explanation:

[tex]7x - \frac{5}{8} x + 3>4[/tex]

Bring constants to one side, simplify:

[tex] \frac{51}{8} x>4 - 3 \\ \frac{51}{8} x>1 \\ x>1 \div \frac{51}{8} \\ x>1 \times \frac{8}{51} \\ x> \frac{8}{51} [/tex]

*Note that the inequality sign only changes when you divide the whole inequality by a negative number.

Answer 2

Answer:

[tex]x>\frac{8}{51}[/tex]

Step-by-step explanation:

[tex]7x-\frac{5}{8}x+3>4\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\7x-\frac{5}{8}x+3-3>4-3\\\mathrm{Simplify}\\7x-\frac{5}{8}x>1\\\mathrm{Multiply\:both\:sides\:by\:}8\\7x\times \:8-\frac{5}{8}x\times \:8>1\times \:8\\\mathrm{Simplify}\\56x-5x>8\\51x>8\\\mathrm{Divide\:both\:sides\:by\:}51\\\frac{51x}{51}>\frac{8}{51}\\\\x>\frac{8}{51}[/tex]

I hope it helps :)


Related Questions

is -2.75 an integer?

Answers

Answer:

yes

Step-by-step explanation:

every negative any positive number is an integer

Answer:

Step-by-step explanation:

No.  Integers do not have fractions in them.

-2.75 is equivalent to -275/100, which is a fraction that does not reduce to an integer

It keeps saying my answer is wrong after i identified the GCF as 3 but maybe I typed it wrong.

Answers

Answer:

3(9t^5-7p^4)(9t^5+7p^4)

Step-by-step explanation:

243 t^10 - 147 p^8

3 ( 81 t^10-49 p^8 )

Then we need to factor what is in the parentheses

3 ( ( 9t^5) ^2 - ( 7p^4) ^2)

This is the difference of squares  ( a^2 -b^2) = ( a-b) (a+b)

3(9t^5-7p^4)(9t^5+7p^4)

The solution system to 3y-2x=-9 and y=-2x+5

Answers

Answer:

[tex]\boxed{(3,-1)}[/tex]

Step-by-step explanation:

Hey there!

Well to find the solution the the given system,

3y - 2x = -9

y = -2x + 5

So to find x lets plug in -2x + 5 for y in 3y - 2x = -9.

3(-2x + 5) - 2x = -9

Distribute

-6x + 15 - 2x = -9

-8x + 15 = -9

-15 to both sides

-8x = -24

Divide -8 to both sides

x = 3

Now that we have x which is 3, we can plug in 3 for x in y = -2x + 5.

y = -2(3) + 5

y = -6 + 5

y = -1

So the solution is (3,-1).

Hope this helps :)

1 liter of ink can print 5000 pages of text. If you had 100 gallons of ink then how many pages
could you print?

Answers

100 gallon / 0.264 = 378.541 liter
378.541 * 5000 = 1892705 pages

If Tristan wants to stretch the spring by 9 inches, how many kilograms of weight must he apply to it? I need help with it please.

Answers

Answer:

9/3 = 3x/3

3 = x

The spring stretches 9 inches with 3 kilograms of weight attached to it

Step-by-step explanation:

Substitute y = 9 into the equation y = 3x, or locate the answer on the graph:

y = 3x

9 = 3x.

Divide both sides of the equation by 3

Answer:The spring stretches 9 inches with 3 kilograms of weight attached to it.

Step-by-step explanation:

Substitute y = 9 into the equation y = 3x, or locate the answer on the graph:

y = 3x

9 = 3x.

Divide both sides of the equation by 3:

   

The spring stretches 9 inches with 3 kilograms of weight attached to it.

In a small town 68% of the people owned television 72% on radio and 12% owned neither television nor radio (1)represent the information on a Veen diagram.
(2)what percentage of the population owned television.​

Answers

Answer:

See attachment for Venn diagram

Percentage of only TV owners is 16%

Step-by-step explanation:

Given

[tex]TV\ Owners = 68\%[/tex]

[tex]Radio\ Owners = 72\%[/tex]

[tex]None = 12\%[/tex]

Required

Represent with a Venn Diagram

What percentage owned television

From the Venn Diagram and In sets theory; we have that

Total = (TV Owners - Radio and TV Owners) + (Radio Owner - Radio and TV Owners) + Radio and TV Owners + None

Represent Radio and TV Owners with y

[tex]Total = (TV\ Owners - y) + (Radio\ Owner - y) + y + None[/tex]

Substitute 68% for TV Owners, 72% for Radio Owners, 12& for None:

[tex]Total = 68\% - y + 72\%- y + y + 12\%[/tex]

Collect Like Terms

[tex]Total = 68\% + 72\%+ 12\%- y + y - y[/tex]

[tex]Total = 152\% - y[/tex]

In Sets, Total represents 100%; So, we have

[tex]100\% = 152\% - y[/tex]

Make y the subject of formula  

[tex]y = 152\% - 100\%[/tex]

[tex]y = 52\%[/tex]

The percentage of only TV owners is calculated by subtracting y from TV owners

[tex]\%P = 68\% - 52\%[/tex]

[tex]\%P = 16\%[/tex]

Answer:

The answer is 90%

Step-by-step explanation:

The top speed of this coaster is
128 mph. What is the tallest peak
of this coaster?
** Hint... convert mph into m/s.*​

Answers

To convert miles per hour to meters per second divide by 2.237

128 miles per hour / 2.237 = 57.22 meters per second.

Using the first equation:

57.22 = sqrt(2 x 9.81 x h)

Remove the sqrt by raising both sides to the second power:

57.22^2 = (2 x 9.81 x h)

Simplify Both sides:

3274.1284 = 19.62h

Divide both sides by 19.62:

H = 3274.1284/ 19.62

H = 166.88 meters

In accounting, a company's gross profit rate measures how well the company controls cost of goods sold to maximize gross profit. The gross profit rate, PPP, is calculated using the formula P = \dfrac{S - C}{S}P= S S−C ​ P, equals, start fraction, S, minus, C, divided by, S, end fraction, where SSS is the net sales and CCC is the cost of goods sold. Rearrange the formula to solve for the cost of goods sold (C)(C)left parenthesis, C, right parenthesis. C=C=C, equals What is the cost of goods sold if the net sales is \$1{,}200{,}000$1,200,000dollar sign, 1, comma, 200, comma, 000 and the gross profit ratio is 0.20.20, point, 2? Round your answer, if necessary, to the nearest dollar. C=C=C, equals dollars

Answers

Answer:

$960,000

Step-by-step explanation:

The gross profit rate of the company is expressed as [tex]P = \dfrac{S - C}{S}[/tex] where C is the cost of goods sold and S is the net sales. If the net sales S = $1,200,000, and gross profit ratio is 0.20, the cost of goods sold will be expressed as shown;

Making C the subject of the formula from the expression given.

[tex]P = \dfrac{S - C}{S}\\\\cross \ multiply\\\\SP = S-C\\\-C = SP-S\\\\C = S -SP\\[/tex]

Substituting P = 0.20 and S = $1,200,000 into the resulting equation, we will have;

[tex]C = $1,2000,000 - 0.2($1,2000,000)\\C = $1,2000,000- 240,000\\ C = 960,000[/tex]

Hence the cost of goods sold is $960,000

If a person earns $8.74 per hour, estimate how much the person would earn per year. Assume a person works 40 hours per week and 50 weeks per year.


Answers

Answer:

$17,480 per year.

Step-by-step explanation:

Amount earned per hour = $8.74

If a person works for 40 hours every week for 50 weeks in a year, number of hours worked in a year = [tex] 40hrs*50weeks = 2000 hrs [/tex]

Estimated amount earned per year by the person = [tex] 2000hrs * 8.74 dollars [/tex]

= $17,480 per year.

8) The perimeter of a rectangle is 20x2 + xy - 7y2 and one of it's sides is
7x2 - xy. Find the other side.

Answers

Answer:

3x^2 + 3xy/2 - 7xy^2/2

Step-by-step explanation:

So we know the perimeter is 20x^2 + xy - 7y^2,

To find any perimeter you need 2l + 2w = P so,

One of the sides is 7x^2 - xy

First plug in the values,

2(7x^2-xy) + 2w = 20x^2 + xy - 7y^2

Multiply,

14x^2-2xy + 2w = 20x^2 + xy - 7y^2

Subtract,

14x^2 - 2xy - 14x^2 + 2xy + 2w = 20x^2 + xy - 7y^2 - 14x^2 + 2xy

2w = 6x^2 + 3xy - 7y^2

w = 3x^2 + 3xy/2 - 7xy^2/2

For the following graph, state the polar coordinate with a positive r and positive q (in radians). Explain your steps as to how you determined the coordinate (in your own words). I'm looking for answers that involve π, not degrees for your angles. State the polar coordinate with (r, -q). Explain how you found the new angle. State the polar coordinate with (-r, q). Explain how you found the new angle. State the polar coordinate with (-r, -q). Explain how you found the new angle.

Answers

Answer:

Points : ( 8, - 2π/3 ), ( - 8, π/3 ), ( - 8, - 5π/3 )

Step-by-step explanation:

For the first two cases, ( r, θ ) r would be > 0, where r is the directed distance from the pole, and theta is the directed angle from the positive x - axis.

So when r is positive, we can tell that this point is 8 units from the pole, so r is going to be 8 in either case,

( 8, 240° ) - because r is positive, theta would have to be an angle with which it's terminal side passes through this point. As you can see that would be 2 / 3rd of 90 degrees more than a 180 degree angle,or 60 + 180 = 240 degrees.

( 8, - 120° ) - now theta will be the negative side of 360 - 240, or in other words - 120

Now let's consider the second two cases, where r is < 0. Of course the point will still be 8 units from the pole. Again for r < 0 the point will lay on the ray pointing in the opposite direction of the terminal side of theta.

( - 8, 60° ) - theta will now be 2 / 3rd of 90 degrees, or 60 degrees, for - r. Respectively the remaining degrees will be negative, 360 - 60 = 300, - 300. Thus our second point for - r will be ( - 8, - 300° )

_________________________________

So we have the points ( 8, 240° ), ( 8, - 120° ), ( - 8, 60° ), and ( - 8, - 300° ). However we only want 3 cases, so we have points ( 8, - 120° ), ( - 8, 60° ), and ( - 8, - 300° ). Let's convert the degrees into radians,

Points : ( 8, - 2π/3 ), ( - 8, π/3 ), ( - 8, - 5π/3 )

In the game plan for model building on your multiple regression project, which of the following is true about the test that determines whether the interaction term(s) is/are significant in predicting y?
A. It will definitely be a t-test
B. It will either be a t-test or a best subset for partial) F-test depending on whether we kept or dropped the quadratic terms
C. It will definitely be a partial F-test
D. It will definitely be a global

Answers

Answer:

A. It will definitely be a t-test

Step-by-step explanation:

T-test is a type of inferential statistic test which used to determine whether there is a significant difference between mean of two group sets or variables.The t-test technique is widely used in hypothesis testing in statistics.  When the model building for game play is determine through regression analysis, it will require t-test to be conducted to reach a conclusion.

What is the approximate value of x in –2 ln (x + 1) − 3 = 7?

Answers

Answer:

x = 1/e^-5 - 1

Step-by-step explanation:

–2 ln (x + 1) − 3 = 7

–2 ln (x + 1) = 10

ln (x + 1) = –5

x + 1 = e^-5

x = e^-5 - 1

x = 1/e^-5 - 1

the approximate value of x in the equation -2 ln(x + 1) - 3 = 7 is x ≈ -0.9933.

To solve the equation -2 ln(x + 1) - 3 = 7 for the approximate value of x, we will follow these steps:

1. Begin with the given equation: -2 ln(x + 1) - 3 = 7.

2. Move the constant term to the other side of the equation: -2 ln(x + 1) = 7 + 3.

3. Simplify: -2 ln(x + 1) = 10.

4. Divide both sides of the equation by -2 to isolate the natural logarithm term: ln(x + 1) = -5.

5. Rewrite the equation using the exponential form of natural logarithm: e⁻⁵ = x + 1.

6. Calculate the value of e⁻⁵: e⁻⁵ ≈ 0.0067.

7. Subtract 1 from both sides of the equation: x = 0.0067 - 1.

8. Simplify: x ≈ -0.9933.

Therefore, the approximate value of x in the equation -2 ln(x + 1) - 3 = 7 is x ≈ -0.9933.

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a lottery offers one $1000 prize one $500 and two $50 prizes. one thousand tickets are sold at $2.50. what is the expectived profit

Answers

Answer:

 $900

Step-by-step explanation:

To begin with let us estimate the total cash value of the prices

$1000 x 1= 1000

$500 x 1=  500

$50 x 2= 100

Total = $1600

Now let us calculate the total cost of tickets sold at $2.50 per tickets for 1000 tickets

2.5*1000= $2,500

Assuming worse case that the lottery had winners in all three categories and i.e the total prices given out is $1600

Then the expected profit is = $2,500-$1600= $900

Which table represents a linear function?
x y
1 5
2 10
3 15
4 20
5 25

x y
1 5
2 20
3 45
4 80
5 125

x y
1 5
2 25
3 125
4 625
5 3125

x y
1 2
2 4
3 7
4 16
5 32​

Answers

Answer:

The first table on the list:

x 1   2  3  4    5

y 5 10 15 20 25

Step-by-step explanation:

A linear equation is when the slope is the exact same between each point.  The way we find slope is by finding the change in "y" over the change in "x".

x-values: 1, 2/y-values: 5, 10---[tex]\frac{10-5}{2-1}[/tex]=5/1=5

x-values: 2, 3/y-values: 10, 15---[tex]\frac{15-10}{3-2}[/tex]=5/1=5

x-values: 3, 4/y-vaues: 15, 20---[tex]\frac{20-15}{4-3}[/tex]=5/1=5

x-values: 4, 5/y-values: 20, 25---[tex]\frac{25-20}{5-4}[/tex]=5/1=5

The slope for each change in points is 5, which means that this table represents a linear function.

The only table that represents a linear function is; Table 1

Linear function

A linear function is one that has the same slope for every coordinate point.

Looking at the tables, the one with same slope for all points is table 1 and we will prove that as follows;

At x = 1, y = 5 and;

Slope = 5/1 = 5

At x = 2; y = 10 and;

Slope = 10/2 = 5

At x = 3, y = 15 and;

Slope = 15/3 = 5

At x = 4, y = 20 and;

Slope = 20/4 = 5

At x = 5, y = 25 and;

slope = 25/5 = 5

In conclusion, only table 1 represents a linear function.

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Write a differential equation that fits the physical description. The at time t is proportional to the power of its .

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The differential equation that fits the physical description is   [tex]\frac{d (v(t))}{dt} = z [v(t)]^2[/tex]

Step-by-step explanation:

 From the question we are told that

       The acceleration due to air resistance of a particle moving along a straight line at time t is proportional to the second power of its velocity v, this can be mathematically represented as

             [tex]a(t) \ \ \alpha \ \ \ [v(t)]^2[/tex]

Where  [tex]a(t)[/tex] is the acceleration at time t

and     [tex]v(t)[/tex] is the velocity at time  t

So  

=>         [tex]a(t)= z [v(t)]^2[/tex]

Where  z is a constant

Generally acceleration is mathematically represented as

       [tex]a(t) = \frac{d (v(t))}{dt}[/tex]

So

     [tex]\frac{d (v(t))}{dt} = z [v(t)]^2[/tex]

m+1/4d=7 solve for d

Answers

Answer:

d  = -4M + 28

Step-by-step explanation:

bag contains two red marbles, three green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] How many possible sets of four marbles are there

Answers

Answer:

a lot,

Step-by-step explanation:

2*3*1*2*2/5

The number of possible sets of four marbles is 210.

What are permutation and combination?

When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.

The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.

Total number of marbles;

2 red marbles +  3 green ones + 1 lavender one + 2 yellows + 2 orange marbles.

⇒ 10

Selection is 4 out of 10

By combination,

10C₄ = (10×9×8×7)/(4×3×2)

10C₄ = 210

Hence "The number of possible sets of four marbles is 210".

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Suppose 65% of people in Georgia support a special transportation tax. Alejandro is not confident that this claim is correct. To investigate the claim, he surveys 150 people in his community and discovers that 78 people support a special transportation tax.
A. calculate sample proportion.
B. calculate standard error of the sample proportion, (SE). Give answer to three decimal places
C. Calculate the standard error of the sample proportion estimate. (SEest.) Give your answer to three decimal places.

Answers

Answer:

C

Step-by-step explanation:

Calculate the standard error of the sample proportion estimate. (SEest.) Give your answer to three decimal places.

A. The sample proportion is 0.52.

B. The standard error of the sample proportion is approximately 0.041.

C. The standard error of the sample proportion estimate is approximately 0.041.

A. To calculate the sample proportion, we divide the number of people who support the special transportation tax (78) by the total number of people surveyed (150):

Sample proportion = 78 / 150 = 0.52

B. To calculate the standard error of the sample proportion (SE), we use the formula:

[tex]SE = \sqrt{(p * (1 - p)) / n}[/tex]

where p is the sample proportion and n is the sample size. Substituting the values into the formula:

[tex]SE = \sqrt{(0.52 * (1 - 0.52)) / 150}\\\\SE = \sqrt{0.2496 / 150}\\\\SE = \sqrt{0.001664}\\\\SE = 0.0407[/tex]

Therefore, the standard error of the sample proportion is approximately 0.041 (rounded to three decimal places).

C. The standard error of the sample proportion estimate (SEest) is the same as the standard error of the sample proportion (SE) calculated in part B. Hence, the standard error of the sample proportion estimate is also approximately 0.041 (rounded to three decimal places).

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A slope triangle for line l is shown on the graph below. If the
slope of the line is 4/3 what is the value of w?

Answers

Answer:

9

Step-by-step explanation:

What we have to note is that the slope of a line is rise/run. This means that the amount of y change in that line is 4, and the amount of x change is 3.

We can now use a proportion to find the value of w.

[tex]\frac{4}{3} = \frac{12}{x}[/tex]

Cross multiply:

[tex]12\cdot36 = 36\\\\36\div4=9[/tex]

Hope this helped!

Answer: 9

Step-by-step explanation:

The sum of two polynomials is 10a^2b^2-8a^2b+6ab^2-4ab+2 if one addend is -5a^2b^2+12a^2b-5 what is the other addend

Answers

Answer:

The other addend is [tex]15\cdot a^{2}\cdot b^{2}-20\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b +7[/tex].

Step-by-step explanation:

The other addend is determined by subtracting [tex]-5\cdot a^{2}\cdot b^{2}+12\cdot a^{2}\cdot b-5[/tex] from [tex]10\cdot a^{2}\cdot b^{2}-8\cdot a^{2}\cdot b + 6\cdot a\cdot b^{2}-4\cdot a \cdot b + 2[/tex]:

[tex]x = 10\cdot a^{2}\cdot b^{2}-8\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b + 2 - (-5\cdot a^{2}\cdot b^{2}+12\cdot a^{2}\cdot b -5)[/tex]

[tex]x = 10\cdot a^{2}\cdot b^{2}-8\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b +2 +5\cdot a^{2}\cdot b^{2}-12\cdot a^{2}\cdot b+5[/tex]

[tex]x = (10\cdot a^{2}\cdot b^{2}+5\cdot a^{2}\cdot b^{2})-(8\cdot a^{2}\cdot b+12\cdot a^{2}\cdot b)+6\cdot a \cdot b^{2}-4\cdot a \cdot b +7[/tex]

[tex]x = 15\cdot a^{2}\cdot b^{2}-20\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b +7[/tex]

The other addend is [tex]15\cdot a^{2}\cdot b^{2}-20\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b +7[/tex].

Answer:

A

Step-by-step explanation:

Will mark Brainliest! Which point is a vertex of the hyperbola?
A. (1,−15)
B. (1,−2)
C. (1,3)
D. (1,11)

Answers

Answer:

So (1,3) is a vertex (out of two) of the hyperbola.

Step-by-step explanation:

The vertices are marked by the dot on the hyperbola.

They are (1,3) and (1,-7).

However, (1,-7) is not on the list of answer choices, but (1,3) is.

So (1,3) is a vertex (out of two) of the hyperbola.

So (1,3) is a vertex (out of two) of the hyperbola.

What is hyperbola?

a plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.

According to the question

The vertices are marked by the dot on the hyperbola.

They are (1,3) and (1,-7).

However, (1,-7) is not on the list of answer choices, but (1,3) is.

Hence , (1,3) is a vertex (out of two) of the hyperbola.

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Urgent, please answer and show your work. In how many ways can two bishops be placed on a chessboard so that they do not attack each other? Note: a bishop can move any number of squares diagonally. A bishop on a white square, therefore, moves along white squares only. A bishop on a black square moves diagonally along black squares only.

Answers

Answer:

use the formula of permutation and combination

Step-by-step explanation:

I will rate you brainliest!

Answers

Answer:

B

Step-by-step explanation:

X must not be equal to -6, -1, 1 or 3

The regular hexagon ABCDEF rotates 240º counterclockwise about its center to form hexagon A′B′C′D′E′F′. Point C′ of the image coincides with point
of the preimage. Point D′ of the image coincides with point
of the preimage.

Answers

Answer:

Point C: G

Point D: F

Step-by-step explanation:

A hexagon has 6 sides.

360/6=60

Every 60°, it moves one section.  

240/60=4.

So it moves 4 sections.

C would move 4 sections BACK (B, A, F, G)

D would also move 4 sections back (C, B, A, F)

Answer:

Point C is: E

point D is : F

Step-by-step explanation:

A middle school has 470 students. Regina surveys a random sample of 40 students and finds that 28 have cell phones. How many students at the school are likely to have cell phones? A. 132 students B. 188 students C. 329 students D. 338 students Please include ALL work! <3

Answers

Answer:

C. 329

Step-by-step explanation:

So 28 is 70% of 40

so we know that 70% percent of students have phones

70% of 470

329

Thats how I solved it have a great day :)

Will mark the brainliest i havent chosen an answer but I pressed accidentally

Answers

The full answer is 20.125 but it says to round so the answer is C. 20.13

Answer:

The full answer is 4.40625 but rounded it would be 4.41


[tex] {4}^{3} [/tex]
evaluate this expression ​

Answers

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

4^3

= 4 * 4 * 4

= 16 * 4

= 64

PLEASE HELPPPP

A standard I.Q. test produces normally distributed results with a mean of 100 and a standard deviation of 15 for the city of New York. Out of approximately 8,400,000 citizens, how many of these people would have I.Q.s below 67?

Answers

Answer:

approx  193200

Step-by-step explanation:

As known for normal distribution is correct the rule 95.4% of the results are situation within mean+-2*s  ( where s is a standard deviation)

So the border is 100+-2*15=70 and that is approx=67.

95.4% of 84000000 citizens are= 8 400 000*0.954=8013600 persons

So the residual number of the citizens =8400000-8013600=386400 citizens

Because of the simmetry of normal distribution to find the number of the citizens that have IQ below 67 we have to divide 386400 by 2.

N=386000/2=193200

The perpendicular bisectors of ΔKLM intersect at point A. If AK = 25 and AM = 3n - 2, then what is the value of n?

Answers

Answer:

n = 9 is the answer.

Step-by-step explanation:

Given a Triangle [tex]\triangle KLM[/tex] with its perpendicular bisectors intersecting at a point A.

AK = 25 units and

AM = 3n -2

To find:

Value of n = ?

Solution:

First of all, let us learn about perpendicular bisectors and their intersection points.

Perpendicular bisector of a line PQ is the line which divides the line PQ into two equal halves and is makes an angle of [tex]\bold{90^\circ}[/tex] with the line PQ.

And in a triangle, the perpendicular bisectors of 3 sides meet at one point and that point is called Circumcenter of the triangle.

We can draw a circle from circumcenter so that the circle passes from the three vertices of the triangle.

i.e.

Circumcenter of a triangle is equidistant from all the three vertices of the triangle.

In the given statement, we are given that A is the circumcenter of the [tex]\triangle KLM[/tex].

Please refer to the attached image for the given triangle and sides.

The distance of A from all the three vertices will be same.

i.e. AK = AM

[tex]\Rightarrow 25 = 3n-2\\\Rightarrow 3n =25+2\\\Rightarrow 3n =27\\\Rightarrow \bold{n = 9}[/tex]

Therefore, n = 9 is the answer.

Other Questions
Allen is a critic of utilitarianism. Of the following sentences, which is LEAST likely to factor into his critique?a. One cannot measure happiness and suffering.b. One cannot define happiness and suffering in a universal way.c. There are other things more important than happiness and suffering.d. There is no such thing as happiness and suffering. Write 8x8x88888 as power Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).The equation of the parabola is y = x2 + x + . Suppose you were exploring the hypothesis that there is a relationship between parents and childrens party identification. Would we be correct in inferring that such a relationship also exists in the population? Explain your answer. What is the probability that any relationship we found is due to pure chance? You want to save $98,000 to buy an boat by making an equal, end of year payment into a brokerage account for the next 9 years. If you expect to earn an annual interest rate of 7.75% on your account, how much do you need to deposit each year into your account? How forgot how to do this problem. I will give brainliest! Need help with this as soon as possible pls benifits of social media when reporting about gbv What is the definition of americorps? A certain car traveling 33.0mph skids to a stop in 39m from the point where the brakes were applied. In approximately what distance would the car stop had it been going 66.0mph What is the solution set to the inequality? Suppose a pack of candy bars has 4 bars. Each bar weighs 5.78 ounces. How much does the pack weigh? What did Bohr's model of the atom include that Rutherford's model did not have?a nucleusenergy levelselectron cloudssmaller particles Identify whether the sampling method is simple random, systematic, stratified, cluster, or convenience. Explain. In a nationwide study of registered voters conducted by The New York Times, 390 people are randomly selected out of those registered as Republicans, 430 people are randomly selected out of those registered as Democrats, and 180 people are randomly selected out of those registered as Independents. Which of the following sentences ispunctuated incorrectly? Brunette Company is contemplating investing in a new piece of manufacturing machinery. The amount to be invested is $180,000. The present value of the future cash flows generated by the project is $163,000. Should they invest in this project? HOW DOES THIS MAKE YOU FEEL You are a Mayan farmer, growing corn in the fields outside a city. Often you enter the city to join in religious ceremonies. You watch the king and his priests standing at the top of a tall pyramid. They wear capes of brightly colored feathers and gold ornaments that glitter in the sun. Far below them, thousands of worshippers crowd in to the plaza with you to honor the gods.How did the mountains cause problems for the Inca civilization? Effectiveness of a solution is equal to:_______ a. Quality of a Solution 20% (x) Acceptability of the Solution 80% b. Quality of a Solution 80% (x) Acceptability of the Solution 20% c. Quality of a Solution 10% (x) Acceptability of the Solution 90% d. Quality of a Solution 90% (x) Acceptability of the Solution 10% e. None of the above The Tang military A. built its strength by developing an idea of ethnic militarism whereby only ethnic Chinese could participate in military service. B. relied principally on a large infantry, on its strength of manpower, rather than developing more expensive cavalry. C. relied on pastoral nomadic peoples, who were integrated into the army, to secure western regions of the empire. D. refused to follow the demands of political On the first day in each month, Enid deposited $4 into her bank account and Jim deposited $3 into his. They opened these accounts on May 15, 1990. On December 31, 1990, they each had $72 dollars in their account. How much did each person deposit on May 15?