Point M is on line segment \overline{LN}
LN
. Given LN=4x,LN=4x, MN=x,MN=x, and LM=3,LM=3, determine the numerical length of \overline{LN}.
LN
.

Answers

Answer 1

LN = 4 units, the numerical length of \overline{LN}.

What is Equation?

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

According to our question-

M being on LN, then

LN equals LM plus MN, therefore

4x = 3 + x ( remove x from both sides ) ( subtract x from both sides )

3x Equals 3 ( divide both sides by 3 ) ( divide both sides by 3 )

x = 1

Then

LN = 3 + x = 3 + 1 = 4

Hence, LN = 4 units, the numerical length of \overline{LN}.

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Related Questions

-1 1/6 divided by 1/4=
Pls help me

Answers

Answer:

-14/3 or -4.67

Step-by-step explanation:

division.

The answer is -22/3 hope this helps

Choose the system for the graph.

Answers

Answer:

Step-by-step explanation:

(3x+4y<12

Which is a survey?

a study that collects data on every subject in a sample
the data collected from a population
the questions used for a sample
the questions used for a population

Answers

Answer:
A study that collects data on every subject in a sample
Hope this helps!

2X-Y=4
x=4-y
please explain each step

Answers

Step-by-step explanation:

2X-Y=4 ---------(1)

x=4-y---------(2)

since x = 4 – y just substitute for eqn 1

2(4–y) – y = 4

8 – 2y –y=4

8 –3y = 4

–3y=4–8

–3y=–4

y=–4/–3

y= 4/3

since y = 4/3 just substitute for y in eqn (2)

x=4–4/3

multiply both sides by 3

3x=12–4

3x=8

x=8/3 or 2 2/3

The number 651 is what percent of 700?

Answers

Answer:

93%

Step-by-step explanation:

651/700

Answer: 93%

Step-by-step explanation:= (

(651 × 100/700) × 1/100 = 93/100

Tyler has two cube-shaped storage spaces in his apartment building, one large and one
small. The small storage space has a volume of 12 ft". Tyler wants to know the total
volume of both storage spaces.
What is the total volume of both storage spaces if one side of the large storage spaces is 4 feet long?

Answers

Answer:

76 ft^3

Step-by-step explanation:

A volume of small box = 12 ft^

A volume of large box = 4×4×4= 64 ft^

the sum of volume = 12+64=76 ft^3

can you solve please

Answers

I believe y is either 7 or close to that number because it is quite clear that both of the sides are not equal but at the same time there isn’t a huge difference, if you want to be sure just use a ruler instead

Find the nth term of this quadratic sequence
2, 8, 18, 32, 50, ...

Answers

The nth term of the given quadratic sequence is 2n².

What is quadratic sequence?

The ordered sets of numbers known as quadratic sequences are based on the rule n^2 = 1, 4, 9, 16, 25,.... (the square numbers). Every quadratic sequence has a n^2 term.

Consider, the given quadratic sequence

2, 8, 18, 32, 50, ...

we have to find nth term of this quadratic sequence ; 2 , 8 , 18 , 32, 50, ...

To find the nth term, we have to find the relation between the given terms.

here we see,

1st term = 2 = 2 × 1 × 1 = 2 × 1²

2nd term = 8 = 2 × 2 × 2 = 2 × 2²

3rd term = 18 = 2 × 3 × 3 = 2 × 3²

4th term = 32 = 2 × 4 × 4 = 2 × 4²

similarly 5th term = 2 × 5² = 2 × 25 = 100

...........

so nth term = 2 × n² = 2n²

Hence, the nth term of the given quadratic sequence is 2n².

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(im giving brainliest for real answer)

Answers

The constant of proportionality of y and x in the graph is given as follows:

k = 3/4.

How to obtain the constant of proportionality?

In a proportional relationship, the ratio between the output variable y and the input variable x is constant, and is called constant of proportionality, given as follows:

k = y/x.

A proportional relationship is a special case of a linear function, which has an intercept of zero, as is the case for the graph in this problem.

The marked point on the graph has the coordinates given as follows:

(4,3).

Meaning that the constant of proportionality of y and x in the graph is calculated as follows:

k = y/x = 3/4.

(division of the value of the y-coordinate by the value of the x-coordinate).

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-3x²+x+ 5 = 0
A.-3+ 24
6
B.-5+√8
2
C.-1+√61
-6
D. 3+√12
10
K

Answers

Answer:

c is your answer

Step-by-step explanation:

x = 1 +_ √61/6

Identify the kind of equence hown: 2, -1, -4, -7, -10,. *

Arithmetic
Geometric
Neither

Answers

The kind of sequence shown 2, -1, -4, -7, -10, is definitely an arithmetic sequence.

What are sequences?

In mathematics, a sequence is a collection of numbers or items that have been organised in a certain order in accordance with a set of rules. These sequences, which might be endless or finite, are useful for simulating a variety of real-world processes. In addition to its practical uses, sequences are an essential mathematical notion that allows us to analyse patterns and relationships between numbers. We may edit and examine sequences to better understand their characteristics and behaviour by applying mathematical operations. Sequences are frequently used to investigate patterns and relationships between numbers, as well as to solve problems in a variety of mathematical disciplines such as algebra, calculus, and geometry. Arithmetic sequences, geometric sequences, recursive sequence are a few examples of frequent sequence types.

How to solve?

In an arithmetic sequence, the difference between any two consecutive terms is constant.

In the given sequence, the difference between any two consecutive terms is -3. i.e.,

d = -10 - (-7) = -7 -(-4) = -4 - (-1) = -1 - (2) = -3

Therefore, the sequence is an arithmetic sequence.

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A regular polygon has its exterior angles all equal to 5⁰ Find the number of sides of the polygon.​

Answers

calculate the size of the exterior and interior angles of all the different polygon.

Show how u got all the answers
Solve for y

1. -2y + 7 = -5


Solve for x



2. -3(x + 5 = -9




3. X+(/2.5= -7.79

Solve for n


4. 3.33 + 2n = -7

Answers

Answer: 1. y = 6

2. x = -2

3. X = -10.29

4. n = -5.165

Step-by-step explanation:

1. -2y + 7 = -5

-2y + 7 - 7 = -5 - 7

-2y = -12

y = 6

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

3(x+5) = 9

x+5 = 3

x = 3 - 5

x = -2

3. X+2.5= -7.79

X= -7.79 - 2.50

X = -10.29

4. 3.33 + 2n = -7

3.33 - 3.33 + 2n = -7 - 3.33

2n = -10.33

n = -5.165

Brainliest + ten points to first correct answer! word problem

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year

Answers

Answer:

The second company should get the contract.

Question

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway.

Reason

Based on the least expensive price per mile per year, the second company should get the contract. This is because the price per mile per year for the second company is lower than the price per mile per year for the first company.

The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires.

The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years.

The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years.

Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year

The first company will charge $120,000 per mile for the resurfacing project, and will guarantee the work for 8 years. The second company will charge $150,000 per mile for the project, and will guarantee the work for 12 years.

To determine the price per mile per year for each company, we need to divide the total price by the number of years. For the first company, this would be $120,000 / 8 = $15,000 per mile per year. For the second company, it would be $150,000 / 12 = $12,500 per mile per year.

Based on these calculations, the second company offers the least expensive price per mile per year, at $12,500 per mile per year. Therefore, the project manager should choose the second company to receive the contract.

At a distance of 6 meters, a person with average vision is able to clearly read letters 1.0 cm high.Approximately how large do the letters appear on the retina? (Assume that the retina is 1.7 cm from the lens.)

Answers

The size of the letters appear on the retina is 0.00289 cm

Given data:

To determine the size of the letters on the retina, use the concept of angular size and the relationship between object size, distance, and angular size.

Angular size is the measure of the angle subtended by an object as seen from a particular point, in this case, the eye.

Angular size = Object size / Distance

Object size = 1.0 cm

Distance = 6 meters

Angular size = 1.0 cm / 6 meters

To convert the distance to centimeters, multiply by 100:

Angular size = 1.0 cm / (6 meters * 100 cm/meter)

Angular size = 1.0 cm / 600 cm

Angular size = 0.0017 radians

The angular size of the letters is 0.0017 radians.

Now, to determine the size of the letters on the retina, calculate the linear size on the retina using the angular size and the distance from the lens to the retina.

Linear size on retina = Angular size * Distance from lens to retina

Angular size = 0.0017 radians

Distance from lens to retina = 1.7 cm

Linear size on retina = 0.0017 radians * 1.7 cm

Linear size on retina ≈ 0.00289 cm

Hence, the letters appear to be approximately 0.00289 cm in size on the retina.

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A company charges $2 for the first minute of tech
support and 50¢ for every minute after that. Is this
an example of a proportional relationship?

Answers

Answer:

No.

Step-by-step explanation:

No.

In a proportional relationship, every minute has the same charge.

No this is not an example of a proportional relationship

how do i find the answer

Answers

The value of the angles of the given quadrilateral are;

8) ∠X = 124° = ∠W

∠Y = 56° = ∠Z

9) ∠J = 44° = ∠K

∠L = 136° = ∠M

How to find the angles of a quadrilateral?

The sum of angles of a quadrilateral is equal to 180 degrees. Now, in the quadrilateral given, the two angles on the slant side always equal 180 degrees. Thus;

8) From the given trapezium, we can use the definition above to say that;

∠X + ∠Y = 180°

Thus;

(13x - 7)° + (8x - 2)° = 180°

21x - 9 = 180

21x = 189

x = 189/21

x = 9

Thus;

∠X = (13(9) - 7)°

∠X = 124° = ∠W

∠Y = 180° - 124°

∠Y = 56° = ∠Z

9) From the above, we can apply the same to this quadrilateral to get;

7x + 2 + 25x - 14 = 180

32x - 12 = 180

32x = 180 + 12

32x = 192

x = 192/32

x = 6

∠J = (7(6) + 2)

∠J = 44° = ∠K

∠L = 180 - 44

∠L = 136° = ∠M

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Find the midpoint of the segment with the following endpoints
(5,5) and (1,1)

Answers

The midpoint of the segment given (5,5) and (1,1) is (3, 3).

What is midpoint?

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Coordinates of the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂)= [(x₁ + x₂)/2 , (y₁ + y₂)/2].

The midpoint of the line segment with endpoints (5,5) and (1,1)

= [ ( 5 + (1))/2 , ((5) + 1)/2 ]

= [ (6)/2 , 6/2 ]

= [ 3, 3

Therefore, the midpoint of the line segment with endpoints is (3, 3).

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Is the line through points P(8, 4) and Q(6, –1) parallel to the line through points R(1, –4) and S(4, 5)? Explain.

Answers

Answer:

No, the lines are not parallel

Step-by-step explanation:

They are not parallel because the slopes of the lines are not equal.

You manage a staff of 9 employees. Each employee has equally done an excellent job this year. If upper management has allotted a bonus for your department of $30,000, what dollar bonus amount would each employee get if divided equally (round to nearest dollar)?.

Answers

The amount that each employee will get out of the bonus to your department will be $3,000.

What will each employee get?

You manage a staff of 9 employees in your department which means that there are 10 people in total.

The amount that each person will get from the bonus will therefore be:

= 30,000 / 10 employees

= $3,000

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The table below shows the linear relationship between
the distance in feet below sea level and the time in
seconds traveled by a submarine.
What is the rate of change low of the distance in the feet below sea level with respect to time that the box submarine traveled?

Answers

The rate of change of the distance with respect to time that the box submarine traveled is 11 feet per second

How to determine the rate of change of the distance with respect to time the box submarine traveled?

A rate of change describes how one quantity changes in relation to another quantity.

Mathematically, it is defined as the change in one quantity divided by the change in the other quantity.

In this case, we have:

rate of change = change in distance / change in time

Use the data in the table:

rate of change = 545-380/15-0

rate of change = 165/15 = 11

Note: You can pick any 2 data points for the calculation

Therefore, 11 feeet per second is the rate of change of the distance in feet below sea level with respect to time that the box submarine traveled

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2x - 5y = 14
y = 3x+5

Answers

Answer:

x = -3

y = -4

Step-by-step explanation:

2x - 5y = 14 ⇒ ( 1 )

y = 3x + 5 ⇒ ( 2 )

First, let us find the value of x.

For that let us use equation ( 1 ) and replace y with (3x + 5 ).

2x - 5y = 14

2x - 5 ( 3x + 5 ) = 14

Solve the brackets.

2x - 15x - 25 = 14

Combine like terms.

-13x - 25 = 14

Add 25 to both sides.

-13x = 14 + 25

- 13x = 39

Divide both sides by -13.

x = -3

Let us find the value of y.

For that, use equation (2) and replace x with (-3).

y = 3x + 5

y = 3 × -3 + 5

y = - 9 + 5

y = -4

Complete the equation describing how
x and y are related.

Answers

Answer: y = 1x+4

the related between the x and y is x plus one and y plus 4

Step-by-step explanation:

Can you name the angle pairs and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

Answer:

AGDB

Step-by-step explanation:

Pair 1: Alternate interior

Pair 2: Alternate exterior

Pair 3: Same-side interior

Pair 4: Same-side exterior

1/10 of the m&m in the bag are red and 1/5 are blue. What fraction of alll the m&m are red and blue

Answers

Step-by-step explanation:

we need to bring them to the same denominator. in this case : 10

so, 1/10 of everything are red.

1/5 = 2/2 × 1/5 = 2/10 of everything are blue.

so, we now just add these two :

1/10 + 2/10 = 3/10

so, 3/10 are red and blue (rather red or blue, because none are red and blue)..

in a wildlife park, there were 20 gray wolves. after a few years, there were 38 gray wolves what is the percent gain

Answers

The percent gain in the number of wolves is 90%.

How to calculate the percentage?

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

From the information, in a wildlife park, there were 20 gray wolves. after a few years, there were 38 gray wolves.

The percent gain will be:

= Increase in wolves / Previous number × 100

= (38 - 20) / 20 × 100

= 18/20 × 100

= 90%

Therefore, it should be noted that based on the information illustrated above, the percentage gain will be 90%.

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There are 25 girls and 16 boys on the swim team. What percentage of the team is made up of boys?

Answers

Answer:

16/41 or 39%

Step-by-step explanation:

add both boys and girls and divide boys by that number

A concrete drain is 10m long, with an outside diameter of 1m and an inside diameter of 0.8m. Determine the volume of the concrete required to make the drain, to the nearest tenth of a cubic metre

Answers

Answer: To calculate the volume of the concrete required to make the drain, we need to find the volume of the cylinder formed by the outside diameter of the drain and subtract the volume of the cylinder formed by the inside diameter of the drain.

The formula for the volume of a cylinder is:

V = πr^2h

where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.

The radius of the base of the outside cylinder is 0.5m (the diameter of 1m divided by 2) and the height is 10m. The radius of the base of the inside cylinder is 0.4m (the diameter of 0.8m divided by 2) and the height is also 10m.

So the volume of the outside cylinder is:

V = π * 0.5^2 * 10 = 15.7 m^3

and the volume of the inside cylinder is:

V = π * 0.4^2 * 10 = 12.6 m^3

To find the volume of the concrete required to make the drain, we subtract the volume of the inside cylinder from the volume of the outside cylinder:

15.7 m^3 - 12.6 m^3 = 3.1 m^3

So the volume of concrete required to make the drain is approximately 3.1 cubic metres. To the nearest tenth of a cubic metre, this is 3.1 m^3.

find an equation of the tangent line to the graph of y = e−x2 at the point 2, 1 e4 .

Answers

i am so glad to see that you 12

PLSSS HELP ASAP 30PTS
Consider parallelogram ABCD with vertices A(-6, 6), B(0, 10), C(2,4), and D(-4, 0). Classify the parallelogram and select ALL that apply.
MORE THAN ONE POSSIBLE ANSWER

Answers

The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.

Given that,

Consider parallelogram ABCD with vertices A(-6,6), B(0,10), C(2,4) and D(-4,0).

We have to find the parallelogram is square, rectangle, rhombus and none of the above.

We know that,

In the attached figure, which shows the number of grid squares for each side, we can see that one side is the diagonal of a 23 rectangle and the other side is the diagonal of a 13 rectangle. This reveals two things to you: The sides are not at perfect angles to one another and are of varied lengths. The slopes of the segments would be opposing reciprocals (if the sides were perpendicular).

Therefore, The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.

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The decision-making criteria in the internal rate of return (IRR) method is, if the IRR is less than the hurdle rate we reject the project as the return from the project is lower than the cost of capital (hurdle rate). It means the project is costing more than the cash flow generated from the particular project. What kind of crystal structure is quartz?cubichexagonalmonoclinicorthorhombic what were some of the restrictions of slave code cholesterol a.is present only in animal-derived foods in our diet b.must be eaten in the diet c.is a partial breakdown product of lipids d.when present in the diet, is cause of strokes Convert 110 kilograms to pounds. (1 kilogram = 2.204 pounds) Should individual freedoms be sacrificed in the name of national security? Table gives the composition of three particles A water tank initially contained 55 liters of water. It is being drained at a constant rate of 2.5 liters per minute.How many liters of water are in the tank after 2 minutes? Round answers to the nearest whole liter. If tanya purchased a $1,700 set of golf clubs on a nine-month layaway plan and had to pay a monthly payment of $201, what was the fee charged for the layaway plan?. why is it right for people to be considered adults at 21 and why write 2-3 paragraphs. plsss helppp plss Examine the four different companies in the table, which shows their yearly income and their tax rate. Which type of taxation does this table best represent?A. IndirectB. ProgressiveC. PegreativeD. Proportional Luke is completing a science experiment at home. He bought two hibiscus plants for his experiment. One of the plants was 5 cm tall. Each week he measured and recorded theheight of the plant, H, in cm. After collecting data for several weeks, he determined that the height of the plant, H, in cm, could be represented by the function H (t) = 5 +0.5t,where t is the number of weeks since he purchased the plant.Part AWhat is the value of H(4)?Part BWhat does H (2) = 10 mean in this situation?The height of the plant was 2 cm after 10 weeks.The height of the plant was 7 cm after 4 weeks.The height of the plant was 4 cm after 7 weeks.The height of the plant was 10 cm after 2 weeks. If an area has shallow, intermediate, and deep earthquakes, what can you infer about the area?A. it is near a subduction zoneB. the shallow earthquakes will be closer to the trench than deeper onesC. the depth pattern of earthquakes can be used to determine which way the slab is inclinedD. this area has the potential for large earthquakesE. all of the aboveAnswer: E. all of the above How doe Frederick Dougla ue the founding principle of America to build an argument againt lavery? I it a peruaive argument? PLEASE ANSWER FAST AND CORRECTLY! 20 POINTSAccording to McCullough, what did President Truman feel was his most difficult decision while in office and why? Was his view of the decision shaped by his idea of the "Lesson of Munich"? You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets. Your friend finds $1 near your table and asks if it belongs with the ticket money. Do you think it does? In the triangle below, with right angle ZA, suppose that m B = (2x) and mC = (5x-8).Find the degree measure of each angle in the triangle.B(2x)AA-(x 8)=mZA=mZB =mZC =X In which direction does the parabola defined by the equation y = -x + 2 open? in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables.truefalse a client with alzheimer's disease is being admitted to the hospital for malnutrition and dehydration. what is the rationale for the nurse to place the client closer to the nurses' station?