The points A, B, C, and D are plotted on a line, consecutively. AB = BC = CD = 6 cm. Find the distance between M and N, which are the midpoints of segments

AB

and

CD

, respectively. Fill in the blanks of the Statement/Reason solution.


Statement Reason

1. AM = BM = AB 2 =_____ cm 1. ____________________

2. CN = _____ = CD 2 = _____ cm 2. Def. of midpoint

3. MN = MB + ______ + CN 3. ____________________

4. MN = ________ cm 4. Algebra

Answers

Answer 1

Answer:

Step-by-step explanation:

If M is the midpoint of AB, then AM = MB

Also AM+MB = AB

MB+MB = AB

2MB = AB

2MB = 6

MB = 6/2

MB = 3 cm

Also

If M is the midpoint of CD, then CN = DN and CN+DN = CD

CN+CN= CD

2CN = CD

2CN = 6

CN = 6/2

CN = 3 cm

Note that MN = MB + BC + CN

Substitute the given data

MN = 3cm + 6cm+3cm

MN = 12cm

Therefore the distance between M and N is 12cm

Answer 2

The distance between of the AM = BM = AB/2  is 3 cm, NC = ND = DC is 3 cm, MN = MB + DC + NC, and MN is 6.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points A, B, C, and D are plotted on a line, consecutively. AB = BC = DC = 6 cm. Find the distance between M and N, which are the midpoints of segments AB and DC, respectively.

Then we know

[tex]\rm AM = MB \\\\NC = ND[/tex]

Then we have

[tex]\begin{aligned} \rm AM + MB &= \rm AB\\\\ \rm AM+AM &=6 \\\\ \rm AM &= 3 \end{aligned}[/tex]

Similarly, we have

[tex]\begin{aligned} \rm NC + ND &= \rm DC\\\\ \rm NC+NC &=6 \\\\ \rm NC &= 3 \end{aligned}[/tex]

NC = ND = 3 cm

AM = MB = 3 cm

1. AM = BM = AB/2 = 3 cm.

2. NC = ND = DC = 3 cm.

3. MN = MB + DC + NC.

4. MN = MB + DC + NC = 3 + 6 + 3 = 12 cm.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567


Related Questions

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally how much pet food will each container hold

Answers

Answer: 13 1/3 ounces

Explanation:
1 pound equals 16 ounces
5 x 16=80
80 ounces divided by 6 containers is equal to 13 1/3 ounces of pet food.

Answer:

answer is 0.85 repeat (a line over 5)

Step-by-step explanation:

all you have to do is divide 6 from (5 ÷ 6) wich gives you 0.85 continous (a line over 5) so 0.85 with a line over it is your answer

Answer options:
A:y=-2x+160
B:y=-40x+160
C:y=2x+160
D:y=40x+160

PLEASE I NEED HELP ASAP!

Answers

Answer:

B:y=-40x+160. hello, just typing to take up space

How long before noon does written human history begin?

Answers

Answer:

I don't instead feed the question, but anyone older than 50 years id considered history.

Help me please!!!!!!!!

Answers

Answer:

y = -6x - 5

Step-by-step explanation:

To find the equation using the point-slope equation, we need the slope and the y-intercept of the line

Finding the slope of the line:

We will calculate the slope between these 2 points:  (-1 , 1) and  (0 , -5)

Slope = Rise / Run

Rise of the line = y1 - y2

Rise = 1 - (-5)

Rise = 1 + 5

Rise = 6

Run of the line = x1 - x2

Run = -1 - 0

Run = -1

Slope of the line:

Slope  = Rise / Run

Slope = 6 / -1

Slope = -6

Finding the y-intercept:

y-intercept of a line is the y-ordinate of the point where the line intersect the y-axis

From the graph, we can see that the line intersects the y-axis at (0 , -5)

y-coordinate of the point = -5

y-intercept = -5

Equation of the line:

This is the general formula of the slope-intercept:

y = mx + b (where m is the slope of the line and b is the y-intercept )

Replacing the variables

y = (-6)x + (-5)

y = -6x - 5

A circle has a diameter of 18 inches. If 1 inch is approximately 2.54 centimeters, what is the diameter in centimeters?
A) 5.9 centimeters
B) 45.7 centimeters
C) 20.5 centimeters
D) 42.3 centimeters

Answers

Option b 45.7 is the answer

12x+8y=28 in slope intercept form

Answers

Answer:

Step-by-step explanation:

y = − 3 /2 x  +  7/ 2

Step-by-step explanation:

The given expression is:

       12x + 8y = 28

Problem;

 Express in slope-intercept format;

   Solution:

The equation of a straight line is given as;

     y = mx + c

where y is the y-coordinate

          m is the slope

          x is the x-coordinate

          c is the intercept

 To solve this problem simply express the given equation as that of a straight line.

     12x + 8y = 28  in the form y = mx + c

      12x + 8y = 28  

   take 12x to the other side;

          8y  = 28 - 12x

divide by 8 to isolate the y;

           [tex]\frac{8y}{8} = \frac{28}{8} - \frac{12x}{8}[/tex]

            y  = [tex]\frac{7}{2} - \frac{3x}{2}[/tex]

Re-arranging gives;

           y = [tex]\frac{-3x}{2} + \frac{7}{2}[/tex]

This is the slope-intercept form.  

You want to test whether salaries for male doctors are different from salaries for female doctors, using a random sample of 100 male and 100 female doctors. The statistical test you should use is

Answers

Complete Question

You want to test whether salaries for male doctors are different from salaries for female doctors, using a random sample of 100 male and 100 female doctors. The statistical test you should use is

a. t-Test: Two-Sample Assuming Equal Variances

b. t-Test: Two-Sample Assuming Unequal Variances

c. z-Test: Two Sample for Means

d. t-Test: Paired Two Sample for Means

Answer:

The correct option is  C

Step-by-step explanation:

From the question we can see that

    The  salaries for male doctors is independent of The  salaries for female doctors

 Hence the samples obtained from both populations are independent

Also  both of the random samples are sufficiently large.

So given that the samples are independent and sufficiently large then the best statistical test to use is  z-Test: Two Sample for Means

An object is moving at a speed of 32 yards per hour. Express this speed in feet per day.

Answers

Answer

2304 feet per day

Step-by-step explanation:

The object will move 2304 feet per day.

What is speed ?

Speed is the distance an object moves in per unit of time.Speed is a scaler quantity because in speed the direction is not specified.

According to he given question an object is moving at a speed of 32 yards per hour.

We know 1 yard is = 3 feet.

∴ 32 yards is = 3×32 = 96 feet.

So, the object is moving at a speed of 96 feet per hour.

We also know that 24 hours is = 1 day.

The object moves 96 feet hour.

∴ The will move (96×24) feet per day.

= 2304 feet per day.

learn more about speed and distance here :

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not sure need help ​

Answers

Answer:

0.0078 or 7.8*10^-3

Answer:

7.8 * 10 ^-3

Step-by-step explanation:

( 1.3* 10 ^-5) ( 6 * 10^2)

Multiply the numbers

1.3 * 6 = 7.8

Multiply the exponent terms, remembering we add the exponents, when we multiply

10 ^ -5 * 10 ^2 = 10 ^( -5+2) = 10 ^-3

Put them back together

7.8 * 10 ^-3

Since this is in scientific notation, we are don

The Census Bureau wants to conduct a survey to determine the percentage of adults that buy clothing online. How many adults do they need to survey in order to be confident that the sample proportion is in error by no more that 2 percentage points.

Answers

Answer and explanation:

Please find attached answer and explanation

Someone plz help me with this I will mark you as brainlyest

Answers

(-2, -7), (-1,-4), (0,-1) (1,2)

All the Xs are the inputs and all the Ys are the outputs. (X,Y)

So I basically just used the Xs it gave us and then I put it in the function equation to solve for the outputs

On February 1, the balance in your account is $516.81. On July 1, you deposit $310.90. Your bank pays 6.25% interest.

Answers

Answer:   $879.44 is the answer i believe.

Which of the following subsets of ℝ3×3 are subspaces of ℝ3×3? A. The 3×3 matrices of rank 2 B. The 3×3 matrices in reduced row-echelon form C. The 3×3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) D. The diagonal 3×3 matrices E. The 3×3 matrices with all zeros in the second row F. The invertible 3×3 matrices

Answers

Answer:

The answer is "Option C, Option D, and Option E".

Step-by-step explanation:

In point, A: Its matrix (aA+bB) for A, B matrices of rank 2 is not always of rank 2. for Rank(A+B) is smaller or equivalent to RankA+B.

In point B: The two matrices, A, B, and each entry is equal to or larger than zero. Then, take a = -1 = b, and so all entries (aA+bB) belong to the subset are less than or equal to Zero.hence.

In point C: We get the matrix (aA+bB) for A, B matrices with trace 0. Trace zero.  (aA + bB) trace is  (a×trace(A) + b×trace(B)) thus null.

In point D: For Both A and B, the matrix (aA+bB) is again diagonal for two diagonal matrices.

In point E: For Both A and B matrices, each insertion in second row zero will also have the second-row matrix (aA+bB) as zero.

In point F: In this case, A and B must become two reduced raw echelons, so that A+E is also a reduced raw shape.

If a Ferris wheel takes 45 seconds to make a complete rotation, how many rotations will it complete in 3 hours?

Answers

Answer:240 rotations

Step-by-step explanation: 1 rotation/45 seconds * 60 seconds / minute * 60 minutes / hour * 3 hours = 3600*3/45 = 240 rotations

can someone solve this please 5(5t + 1) = 25t – 7

Answers

It’s either no solution or just false depending on the answer choices you have

solving steps:
5(5t+1)=25t-7
25t+5=25t-7
5= -7

which is not true

jacobs exercise goal last month was to do 2,000 push ups and 2,500 sit ups. He reached 3/4 of hosgoal for push ups and 9/10 of his goal for sits ups. How many combined push ups and sit ups did jacob do last month?

Answers

Answer: 1930

Step-by-step explanation:

Answer:1930

Step-by-step explanation:

Going into the final exam, which will count as two tests, Sharon has test scores of 75, 86,70,61, and 90. What score does Sharon need on the final in order to have an average score of 80?

Answers

Answer:

85

Step-by-step explanation:

Use the graph below to answer the following question:

What is the average rate of change from x = −4 to x = 1?
A.-3
B.-1
C.0
D.1

Answers

Answer:

The answer is B.-1

Step-by-step:

When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.p explanation:

Subtract using the number line.

−2−(+7)
Select the location on the number line to plot the point.

Answers

Answer:

-9

Step-by-step explanation:

see attached

-2 -7 = -9

If the independent variable becomes very large what would be the expected change in the dependent variable

Answers

Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Step-by-step explanation:

The fastest doughnut machine can fry 9600 doughnuts per hour. Which is closest to the number
of doughnuts this machine can fry every second?

Answers

Answer:

9600/60 minutes = 9600/ 360 seconds = 26

Keep practicing :)

Step-by-step explanation:

Answer:

9.6

Step-by-step explanation:

The reason is because you divide this number by 1,000 which gives you 9.6

9600 divided by 1,000= 9.6

a + 4 = 6, when a = 2. true false open

Answers

True
Pls mark brainliest

Answer:

True.

Step-by-step explanation:

[tex]a+4=6[/tex]

[tex]a=2[/tex]

To see if the equation would be correct given the value of [tex]a[/tex], we have to substitute:

[tex]2+4=6[/tex]

[tex]6=6[/tex]

Since both sides of the equation are equal, the statement is true.

Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers were female, 26 percent were under age 25, and 17 percent were females under the age of 25. Find the probability that a moviegoer is either female or under age 25.

Answers

Answer:

65

Step-by-step explanation:

2/15 = h/125 need a step by step please

Answers

Answer:  h = 50/3

====================================

Work Shown:

2/15 = h/125

2*125 = 15*h .... cross multiply

250 = 15h

15h = 250

h = 250/15

h = (5*50)/(5*3)

h = 50/3

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

Extra info:

50/3 = (48+2)/3

50/3 = (48/3)+(2/3)

50/3 = 16 + (2/3)

50/3 = 16 & 2/3

The improper fraction 50/3 converts to the mixed number 16 & 2/3

Another way to see this is to use long division to get 50/3 = 16 remainder 2.

Jane has LaTeX: 2\frac{1}{2}2 1 2 cups of sugar. A recipe calls for LaTeX: \frac{1}{4}1 4 cup of sugar. How many recipes can she make?

Answers

Answer:

THERE IS NO RESULTS IN MY MIND

Step-by-step explanation:

SORRY IF WE DID NOT ANSWER IT SAD.......

Dominique has $13.75 in her piggy bank. All of the money are quarters. How many quarters are in the piggy bank?

Answers

Answer: I think its 0.55

Step-by-step explanation: if you do 25 times 0.55 because quarter's are 25 cents it equals 13.75

The number of quarters in the piggy bag will be 55.

What is unit conversion?

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.

Given that Dominique has $13.75 in her piggy bank. All of the money is quarters.

The number of the quarters will be calculated as:-

1 dollar ⇒ 4 quarters

13.75 dollars ⇒ 13.75 x 4 quarters

13.75 dollars ⇒ 55 Quarters

Therefore, the number of quarters in the piggy bag will be 55.

To know more about unit conversion follow

https://brainly.com/question/15661961

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-2/5= -1/3m + 3/5
Solve please

Answers

answer :

m = 3

how i know you may ask , cause it’s easy

What is the slope of the line represented by the equation 2x + 3y= -12. (A)- 3/2. (B)-2/3. (C) 2/3. (D) 3/2

Answers

Answer:

-2/3

Step-by-step explanation:

Here, we need to rearrange the equation into slope intercept form:

[tex]2x + 3y = -12[/tex]

subtract 2x on both sides:

[tex]3y = -2x-12[/tex]

divide 3 on both sides:

[tex]y = \frac{-2}{3} x + 4[/tex]

Finally, we get it in the form y = mx + b. We know that in that form, m is the slope so that means, the slope is -2/3

Answer:
-2/3

Explanation:
The equation in the question is written in the standard form of a linear equation.

Standard form: Ax+By=C

A, B and C don’t have any direct interpretation on a graph, so we can’t identify the slope or really any information about the line when the equation is in standard form.

To identify the slope from an equation, we have to change it to slope-intercept form.

Slope-intercept form: y=mx+b

Here’s what the variables mean:

Y= the y-coordinate
M=the slope
X=the x-coordinate
B= the y-intercept (the point on the line that intercepts the y-axis)

1) Rearrange the equation
2x+3y=-12
Subtract both sides by 2x to isolate 3y
-2x+2x+3y=-2x-12
3y=-2x-12
Divide both sides by 3 to isolate y
3y/3=-2/3x-12/3
y=-2/3x-4

2) Identify the m variable
The value in place of the m variable in y=mx+b represents the slope. From the equation above, we can see clearly that -2/3x is in place of the m variable. Here’s a comparison:

y=mx+b
y=-2/3x-4

Therefore, the slope of the line represented by the equation 2x+3y=-12 is -2/3.

I hope this helps! Please comment if you have any questions.

find the value of 9+p when p=19​

Answers

Answer:

28

Step-by-step explanation:

9+19=28

The answer is 28 because 9+ 19 equals 28

The number 49 has exactly three factors Since 98 is a multiple of 49, which must be tue of 982
It must have only two factors
tmusthave fewer than three factors
It must have exacty three factors
t must have more than three factors

Answers

Must have more than three factors

Answer:

it must have more than 3 factors

Step-by-step explanation:

that factors are 1,2,491,982

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