Write the ratio 0.1 to 0.2 as a simplified fraction

Answers

Answer 1
1/10: 1/5
the simplified fraction of 0.1 is 1/10
the simplified fraction of 0.2 is 1/5

Related Questions

An equation with real coefficients has (1-i), 3, and 4 among its roots. What is the lowest possible degree of the equation?
A: 3
B: 4
C: 5
D: 6

Answers

Answer:

D

Step-by-step explanation:

the doctor uses a computer to make a list of every patient between the ages 18 and 25. she selects every third name on this list. is this sample likely to be representative of the population of her patients? explain

Answers

The sample of patients selected by the doctor using a computer to make a list of every patient between the ages 18 and 25 and selecting every third name on this list may not be representative of the population of her patients.

This is because the selection process is not random and may introduce bias into the sample. By selecting every third name on the list, the doctor is using a systematic sampling method, which may inadvertently exclude certain types of patients from the sample. For example, if the list is sorted in some way, patients with certain characteristics may tend to appear more frequently or less frequently in the sample.

Furthermore, the age range of 18 to 25 may not be representative of the entire population of the doctor's patients. There may be other age groups that are underrepresented or overrepresented in the sample, which could affect the overall representativeness of the sample.

To obtain a representative sample, the selection process should be random and unbiased. This can be achieved by using a random sampling method, such as simple random sampling or stratified random sampling, where the sample is selected randomly from the entire population or from different subgroups of the population. This would help to ensure that all types of patients are equally likely to be included in the sample and that the sample is more likely to be representative of the population of the doctor's patients.

lots of points for correct answer!

Gina plotted the points (-3, 4), (4, 4), (-3, -2), and (4, -2) on the coordinate plane.





Determine the height of the quadrilateral. -

Determine the length of the quadrilateral. -

What shape do the points form?

What is the area of the quadrilateral?

What is the perimeter of the quadrilateral?

lots of points for correct answer!Gina plotted the points (-3, 4), (4, 4), (-3, -2), and (4, -2) on the

Answers

Answer:

height: 6 unitslength: 7 unitsshape: rectanglearea 42 square unitsperimeter: 26 units

Step-by-step explanation:

Height

The height of it is the distance between the bottom and the top. You can count grid squares (6), or you can subtract y-coordinates:

  4 -(-2) = 4 +2 = 6

The height of the figure is 6 units.

__

Length

The length is the difference between the left side and the right side. Once again, you can count grid squares (7), or you can subtract x-coordinates:

  4 -(-3) = 4 +3 = 7

The length of the figure is 7 units.

__

Shape

The two upper points are on the same horizontal line, as are the two lower points. The two left-side points are on the same vertical line, as are the two right-side points. Vertical and horizontal lines are at right angles, so all of the corner angles are 90°. The quadrilateral is a rectangle.

__

Area

The area of the quadrilateral is the product of its length and height:

  A = LH

  A = (7 units)(6 units) = 42 units²

The area is 42 square units.

__

Perimeter

The perimeter is the sum of the lengths of the four sides. There are to sides that are 6 units long, and 2 sides that are 7 units long.

  P = 2(6 +7) = 26

The perimeter is 26 units.

19. Malik is 10 years less than half his mother's age. If
Malik is 12 yrs. old, how old is his mother?

Answers

Answer:

34

Step-by-step explanation:

12+12=24

24+10=34

Answer:

If he is 12 his mom would be 22.

Step-by-step explanation:

12+10=22

       </3 PureBeauty

Ect edt A weather center collects rain data for 10 years at two lakes. The amount of annual rainfall for each lake during that time period is shown by the graphs. Annual Rainfall Amounts Lake Warbler Lake Mockingbird + + + + + 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 Rainfall (inches) 2 Which statement correctly describes the spreads of the data distributions for the lakes? The spreads of the data distributions are about the same for both lakes. BThe spread of the data distribution for Lake Mockingbird is about 40% greater than the /spread for Lake Warbler. The spread of the data distribution for Lake Mockingbird is 3 inches less than the spread of the data distribution for Lake Warbler. The spread of the data distribution for Lake Mockingbird is 5 inches greater than the spread of the data distribution at Lake Warbler. 3 Which statement is NOT true about the data? A The spreads for the first 25% of the data distributions for both lakes are equal. B The distribution for Lake Mockingbird shows a center that is 3 inches greater than the center of the distribution for Lake Warbler. C The interquartile range of the data distribution for Lake Warbler is about 60% of the interquartile range for Lake Mockingbird. D The data distributions for both lakes appear to be skewed left.​

Answers

The correct answer is B. The spread of the data distribution for Lake Mockingbird is about 40% greater than the spread for Lake Warbler.

What is the data distribution?

The data distribution refers to the pattern of the data values in a dataset. It describes how the data is spread out, including the range of values, the shape of the distribution, and any clustering or gaps in the data. The data distribution can be described using various statistical measures, such as the mean, median, and standard deviation.

The correct answer to the first question is B: "The spread of the data distribution for Lake Mockingbird is about 40% greater than the spread for Lake Warbler."

For the second question, the statement that is NOT true about the data is B: "The distribution for Lake Mockingbird shows a center that is 3 inches greater than the center of the distribution for Lake Warbler."

hence, The correct answer is B. The spread of the data distribution for Lake Mockingbird is about 40% greater than the spread for Lake Warbler.

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I’m going to cry if someone doesn’t answer my question I need an answer right now

Answers

Answer:

What’s the question—— I could help and try to answer it!

Step-by-step explanation:

Answer:

I can try to answer it, but beware I'm a d.umbass lol

In the equation z/6 =
36, what is the next step in the equation solving sequence?
Isolate the variable
using inverse operations.
Combine like terms.
Identify and move the coefficient and variable.
Move all numbers without a variable.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

"Isolate the variable  using inverse operations."

»»————- ★ ————-««  

Here’s why:

To solve for a variable, we would have to isolate it on one side.

To isolate it, we would use inverse operations on both sides on the equation until the variable is isolated.

There are no like terms in the given equation.

⸻⸻⸻⸻

\(\boxed{\text{Solving for 'z'...}}\\\\\frac{z}{6} = 36\\-------------\\\rightarrow (\frac{z}{6})6 = (36)6\\\\\rightarrow \boxed{z = 216}\)

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

First option: Isolate the variable using inverse operations

Step-by-step explanation:

z/6 = 36

Since we already have the equation set up and cannot simplify any further, we must try to isolate the variable, z, by using inverse operations.

The inverse operation of division is multiplication, so to isolate z, we multiply 6 on each side:

z/6 · 6 = 36 · 6

z = 216

factor completely. Be sure to show all of your work.

g(x)=x3-x2-4x+4

Find the zeros of the function. Be sure to show all of your work.

Find the y-intercept of the chosen function. Be sure to show all of your work.

Describe the end behavior of the graph.

Answers

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

What is an equation?

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

The zeros of the function is at:

g(x) = 0, hence:

x³ - x² - 4x + 4 = 0

(x - 1)(x² - 4) = 0

(x - 1)(x + 2)(x - 2) = 0

x = 1, x = -2 and x = 2

The y intercept is at x = 0, hence:

g(0) = 0³ - 0² - 4(0) + 4 = 4

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

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In 1996 an outbreak of a disease affected 10 people in a large community. By 1997, the number of those infected had grown to 40. Find an exponential growth function that fits the data.

Answers

Answer: The initial population is 18 and 1 year(t=1) later it is 38

Step-by-step explanation:

38 = 18 * e^(1*k), where k is the growth rate

e^(1*k) = 38/18

Take the natural log(ln) of both sides of the = k = ln(38/18) = 0.747

P(t) = 18 * e^(0.747*t), where P(t) is the population affected at time t(years since 1996)

Want Brainliest? Get this Correct The x-values in the table for f(x) were multiplied by -1 to create the table for g(x) What is the relationship between the graphs of the two functions? A. They are reflections of each other across the y-axis B. They are reflections of each other across the x-axis C. The graphs are not related D. They are reflections of each other over the line x = y

Want Brainliest? Get this Correct The x-values in the table for f(x) were multiplied by -1 to create

Answers

Answer:

Option (A).

Step-by-step explanation:

We choose a point from table of f(x), that is (-2, -31)

1). If this point is reflected across x-axis, rule to be followed,

(x, y) → (x, -y)

That means y coordinate of the point gets changed with opposite notation.

If (-2, -31) is reflected over the x-axis,

(-2, -31) → (-2, 31) ----------(1)

2). When a point is reflected over the y-axis,

Rule to be followed,

(x, y) → (-x, y)

(-2, -31) → (2, -31) ----------(2)

3). When a point is reflected over the line y = x

Rule to be followed,

(x, y) → (y, x)

(-2, -31) → (-31, -2) -----------(3)

By comparing f(x) and g(x) we find the relation between the functions as,

f(-2, -31) → g(2, -31)

Rule between the functions f and g matches with the rule number (2).

Therefore, function 'f' has been reflected across y axis to get the function 'g'.

Option (A) will be the answer.

Need Help!!!! A pre-image has coordinates J(3, -6) and K(-1, -2). The image has coordinates J'(6, 3) and K'(2, -1). Describe the clockwise rotational path of the line segment.​

Answers

After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.

So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)

The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.

The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:

Midpoint of JK: (1, -4)

Midpoint of J'K': (4, 1)

The slope of the vector: 3/5

(x₁ + x₂)/2, (y₁ + y₂) /2

Point-slope formula: y - y₁ = m(x - x₁)

Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)

Applying simplification , we get: y = (- 3/5)x - 1.2

To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:

y - 1 = (7/3)( x - 4)

Apply simplification , we get: y = (7/3)x - 17/3

To evaluate the intersection point, we can solve the system of equations:

y =(- 3/5)x - 1.2 = (7/3)x - 17/3

Evaluating for x and y, we get x = -6 and y = -1.

Therefore, the center of rotation is (-6, -1).

√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)

Distance between image points and center of rotation

√( ( 6 - (-6))² + ( 3 - (-1))² = 13

The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).

The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':

Angle of vector: arctan(5/3) = 59.04 degrees

Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).

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Shane has a bag of marbles with 4 blue marbles, 3 white marbles, and 1 red marbles. Find the following probabilities of Shane drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn. (Give your answer as a fraction)

Answers

Answer: A).  A Blue, then a Red.

     = 4/8 * 1/7

     = 1/14

B). A Red, then a White.

     = 1/7 * 3/8

     = 3/56

C). A Blue, then a Blue, then another Blue.

   = 4/8 * 3/7 * 2/6

   = 1/14

Step-by-step explanation:

had to complete the question first.

Find the following probabilities of Derek drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn.

(a) A Blue, then a Red =  

(b) A Red, then a White =  

(c) A Blue, then a Blue, then a Blue =  

given data:

blue marble = 4

white marble = 3

red marble = 1

total marble = 8

solution:

probability of drawing

A).  A Blue, then a Red.

     = 4/8 * 1/7

     = 1/14

B). A Red, then a White.

     = 1/7 * 3/8

     = 3/56

C). A Blue, then a Blue, then another Blue.

   = 4/8 * 3/7 * 2/6

   = 1/14

The residual plot shows the residuals for the day of the month and the amount in Kali’s checking account. Which statement best assesses the linearity of the relationship between the day of the month and account balance if the scatterplot appears to be reasonably linear?

A) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
B) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
C) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
D) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.

Answers

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

The residual plot shows the residuals for the day of the month and the amount in Kalis checking account.

18% of 200 is between which two numbers?

Answers

Answer:

35&37

Step-by-step explanation:

Well 18% of 200 is 36 so...

what is the slope of the line?

what is the slope of the line?

Answers

Answer:

-1

Step-by-step explanation:

the slope of the line is given by the equation m=(y2-y1)/(x2-x1)

here the line passes with the coordinate (-2,0),(0,-2)

m=(-2-0)/(0-(-2))

 = -2/2

 = -1

A isotope has a Half life of 1000 years. If you start with 1 kilogram of this isotope how much will remain after 400 years? 4000 years?

Answers

Answer:If you begin with a 1 gram sample of the isotope, at the end of 1000 years you would have. 1 gram x (12) = 12 gram would remain.

Step-by-step explanation:

the diameter of the bagels 4.2 in what is the biggest circumference in inches

Answers

Diammeter = 4.2 inch

Radius = diammeter/2 = 4.2/2 =2.1 inch

\(\text{Circumference =2}\times\text{ }\pi\times r\)\(\begin{gathered} \pi\text{ = 3.14} \\ \text{Circumference = 2 }\times3.14\times2.1\text{ =13.188 inches} \end{gathered}\)

A Certain sum of money of simple
interest amount to $$1,300 ire 4 years
and to #11525 in 7 years - Find
the sum and the rate percent

Answers

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

A shop employs one man and one woman as shop assistants. The man works for 10 hours per day and the woman for 8 hours per day, and their wages per hour are in the ratio 7: 5. If the woman receives $24 per day, find the man's daily wage.​

Answers

The man's daily wage is given as follows:

$42.

How to obtain the man's daily wage?

The man's daily wage is obtained applying the proportions in the context of the problem.

The woman receives $24 for 8 hours of work, hence her hourly wage is given as follows:

24/8 = $3 per hour.

Their wages per hour are in the ratio 7:5, hence the man's hourly wage is obtained multiplying the woman's hourly wage by 7/5, hence:

7/5 x 3 = 21/5 = $4.2 per hour.

The man works 10 hours a day, hence the daily wage is given as follows, multiplying the hourly wage by 10:

10 x 4.2 = $42.

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The man's daily wage is $42.

How to find the man daily wage?

We know that the woman works 8 hours per day and gets $24 per day, then her hourly pay is the quotient between these two values.

$24/8 = $3 per hour.

And we also know that their wages per hour are in the ratio 7: 5.

Then the man's hourly pay 7/5 times the hourly pay of the woman, then we just need to solve the product below:

(7/5)*$3 = x

(7/5)*$3 = $4.2

And the man works for 10 hours, then the daily wage is 10*$4.2 = $42.

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If you know the answer I will give a hundred brainist

If you know the answer I will give a hundred brainist

Answers

Answer:

18.09

Step-by-step explanation:2.4x2.4, then x3.14  

Answer:

answers below

Step-by-step explanation:

If you are trying to find the area the answers are:

Earth= 289.52918

Saturn=6,532.5021

The formula for area for a sphere is:

4 x pie x r2

If you are trying to find the volume the answers are:

Earth=57.90584

Saturn=46,647.01596

The formula for volume for a sphere is:

4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

Which of the following is an odd function? • ) 1x) = 3x2 + x Nx) = 4x +7 1x) = 5x + 9 1x)= Br + 2x​

Answers

Can you insert a picture? This is confusing..

Find the midpoint of each segment with the given endpoints A(-4,6)and(10,10)

Answers

Midpoint = (x+x/2, y+y/2)
(-4+10/2, 6+10/2)
(6/2, 16/2)
(3, 8)

Given just the graph what 3 steps are required to write the equation of a line?

Answers

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

How do you do this question

How do you do this question

Answers

Given the triangle LMN and the line (n)

We will find the image of the triangle LMN after the reflection over the line (n)

So, from each point, construct a line segment perpendicular to the line (n)

Then make sure the distance between the point and the line is the same as the line and the image point.

the reflection of the triangle will be as shown in the following figure:

How do you do this question

What is the value of x?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =___m

What is the value of x?Enter your answer as a decimal in the box. Round only your final answer to the

Answers

Answer:

<W=180 - (30+81)

<W=69°

Using Sine rule to evaluate x

x/sin30 = 19/sin69

x= 19sin30/sin69

x= 10.2m ( Nearest tenth)

The following shape is a rhombus. Find the measure of each unknown angle:

90
52
38
46
72

The following shape is a rhombus. Find the measure of each unknown angle: 9052384672

Answers

Answer:

63 42

53

53

52

Jdjdjdjfh

m∠APD = m∠DPC = m∠BPC = m∠APB = 90°m∠DPA = 38°m∠PAB = 52°m∠PCD = m∠PCB = 52°mABP = m∠CBP = 38°.

Properties of a rhombus:Diagonals of a rhombus intersect each other at 90°. Sum of two adjacent angles of a rhombus is 180°.Diagonals bisect opposite angles.

By using property - 1,

m∠APD = m∠DPC = m∠BPC = m∠APB = 90°

Apply triangle sum theorem in ΔAPD,

m∠DAP + m∠APD + m∠DPA = 180°

52° + 90°+ m∠DPA = 180°

m∠DPA = 38°

By using property - 3,

m∠PDC = m∠DPA = 38°

m∠PAB = 52°

By using property - 2,

m∠ADC + m∠DCB = 180°

2(38°) + m∠DCB = 180°

m∠DCB = 104°

Therefore, m∠PCD = m∠PCB = \(\frac{104}{2}\) = 52°

m∠DAP = m∠BAP = 52°

Since, m∠ADC = m∠ABC = 76°

Therefore, mABP = m∠CBP = \(\frac{76}{2}=38^\circ\)

         Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.

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The following shape is a rhombus. Find the measure of each unknown angle: 9052384672


b. Rewrite 4 x 63 as the product of a unit fraction and a whole number.
Solve.

Answers

Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6

How to multiply fractions?

The parameters are given as:

Number - 4

Fraction - 3/6

The following steps can be used to determine the product as the product of a whole number and a unit fraction:

Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.

Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.

Step 3 - Write the given expression.

4 * 3/6

Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.

4 * 3 * 1/6

Step 5 - Simplify the above expression.

12 * 1/6

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please help i only have a few minutes left!!

please help i only have a few minutes left!!

Answers

Answer:

VI

Step-by-step explanation:

The letter "A" is a vowel and a capital letter, so this should be categorized in group VI, where the vowel circle and the capital letter circle overlap.

Answer:

F

Step-by-step explanation:

It is a capital letter and a vowel


Can y’all please help me . ASAP!!!

Can yall please help me . ASAP!!!

Answers

Answer:

secx=\frac{1}{cosx}

Step-by-step explanation:

secx=\frac{1}{cosx}

1. False

2. True

3. False

In the figure, RS bisects DE at point s. DS = 3x + 10 and SE = 6x - 2. Find the value of 'x and the length
of the segment DE.
x = 4; DE = 22
x = 8/3; DE = 18
x = 4; DE = 44
X = 3; DE = 38

In the figure, RS bisects DE at point s. DS = 3x + 10 and SE = 6x - 2. Find the value of 'x and the lengthof

Answers

Hejiwkwbenkwoqowoekbrbrnrkroeokwbwbebdbrb

The value of x is equal to 4 and the length of segment DE is equal to 44.

Option (C) is correct.

It is required to find the scientific notation.

What is midpoint ?

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.

Given:

Since S is the midpoint of line segment DE, it simply means that line segment DE is divided into two (2) sections DS and SE and they are equal in length. By applying the midpoint rule, we have:

DS = SE

3x + 10 = 6x - 2

6x - 3x = 10 + 2

3x = 12

x = 12/3

x = 4.

For the measure of segment DS, we have:

DS = 3x + 10

DS = 3(4) + 10

DS = 12 + 10

DS = 22.

For the measure of segment SE, we have:

SE = 6x - 2

SE = 6(4) - 2

SE = 24 - 2

SE = 22.

For the measure of segment DE, we have:

DE = DS + SE

DE = 22 + 22

DE = 44.

Therefore, the value of x is equal to 4 and the length of segment DE is equal to 44.

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