Please help to solve this question, and provide the formal proof. Very much appreciated, and have a great day!

Please Help To Solve This Question, And Provide The Formal Proof. Very Much Appreciated, And Have A Great

Answers

Answer 1

9514 1404 393

Answer:

  NB = b

  NC = c

Step-by-step explanation:

A "quick and dirty" proof could be this:

M is the midpoint of AN; M is the midpoint of BC . . . . givenABNC is a parallelogram . . . . diagonals AN and BC have the same midpoint (M)*NB = AC = b; NC = AB = c . . . . opposite sides of a parallelogram are congruent.

__

More formally, we might prove it like this:

MC = MB . . . . definition of medianMA = MN, AC = b, AB = c . . . . given∠CMA ≅ ∠BMN . . . . vertical angles are congruentΔCMA ≅ ΔBMN . . . . SAS congruence postulateAC ≅ NB . . . . CPCTCNB = b . . . . substitution property of equality/congruence∠CMN ≅ ∠ BMA . . . . vertical angles are congruentΔCMN ≅ ΔBMA . . . . SAS congruence postulateAB ≅ NC . . . . CPCTCNC = c . . . . substitution property of equality

_____

* The proof is "dirty" only in that the theorem "if the midpoints of the diagonals of a quadrilateral are coincident, then that quadrilateral is a parallelogram" is not one usually available to cite in proofs. The "more formal" proof here essentially proves that the quadrilateral is a parallelogram.


Related Questions

A rectangular picture frame has an area of 45 square inches. If it has a length of 7 and 1/2 inches, what is its width?

Answers

Answer:

6

Step-by-step explanation:

To find the width/length when you know the area and the length or width, you just divide the area by the known side.

45/7.5 = 6

6

Area/height

45/7.5

Can someone give the answer to H

Answers

Does it say anything abt H

An airplane is traveling at 400 milers per hour. which equation can be used to find the total distance the plane will travel in h hours?

Answers

Answer:

d=400 x h

Step-by-step explanation:

D=400 X H I’m kinda going based off memory and how a car works

Which is the graph of the system of equations y = 3x + 6 and y = 3x +1?

Answers

The graph for that equation is the second one hope this helps

Answer:

2nd one with the parallel lines

Step-by-step explanation:

The slope of both the equations is 3. So, if they have the same slope and different y-intercepts then the system of equations are parallel lines.

Please help ASAP!
Questions 1-4

Answers

Answer:

it is a test I am not going to help

Step-by-step explanation:

Oooooh I’m telling.

What's the estimate of 8 2/3 + 4 7/9. I really need help on this one.

Answers

Answer:

13 4/9

Step-by-step explanation:

Plz help and show work. Whoever gets the right answer gets Brainliest

Answers

Answer: it is C

Step-by-step explanation: answer C

Answer:

C) 40

Step-by-step explanation:

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon.

Please help!!
(5 points AND BRAINLEST)

Answers

So for you’r question its definitely B

Answer: its is D

Step-by-step explanation: it is D

Jennifer competed on her school’s track team as a high jumper. To advance to the final round, she must successfully jump 4 1/2
feet or higher. If h represents the height of Jennifer’s jumps, which inequality represents this?

A. h>4 1/2
B. h≥4 1/2
C. h<4 1/2
D. h≤4 1/2

Answers

Answer:

its going to be B im doing this too in math

Step-by-step explanation:

B because she has to get 4 1/2 or higher

The radius of a circle is 6.5 inches. Find the circumference of the circle. Use pi as 3.14. Explain your steps.

Answers

Circumference= 2piR
1) Fist do 2 times pie. 2x3.14= 6.28
2) With the remaining answer times it by the radius. 6.28x6.5= 37.994inches

could someone help me with these because i did them but it said incorrect.

Answers

Answer:

Ferns

Step-by-step explanation:

It's not mushrooms because they are fungi, its not amoeba because they do not have chlorophyll and its not pox virus because its a virus, this leaves ferns.

Hope it helps :)

Answer:

1. Ferns

2. Chloroplasts

Step-by-step explanation:

Please mark brainliest

Whitney needs to borrow $200 for school supplies. If she borrows the same amount from 5 friends, which equation will show now much she owes each friend?

$200 ÷ 5
-$200 ÷ (-5)
-$200 ÷ 5
$200 ÷ (-5)

Answers

Answer:

200/ 5

Step-by-step explanation:

the first answer

$200 ÷ 5
she will owe each friend $40

The side length of one side of a triangle is 2x -2, the second side is 2x + 3. What is the length of the third side if the perimeter is 6x +3?

Answers

Answer:

2x + 2

Step-by-step explanation:

2x -2 + 2x + 3 is equal to 4x + 1 to make it 6x + 3 you need to add 2x to the term 4x and you need to add 2 to the term 1 so

2x + 2

Answer:

si a 2 multiplicamos -2seria -4 hací que si multiplico 2 por +3seria +9 hací que seria +3731.56898534

The system has infinitely many solutions. Rearranging the left side of the 2nd equation and subtracting 3a from both sides gives −ax + ay = _____a. Dividing both sides by −a gives x − y = _______. So, the equations describe the same line. Because every point on the line is a solution of the equation, and thus of the system, there are infinitely many solutions.

HELPPPP PLZZ DUEE TODAYY PLZZZ

Answers

Answer:

https://web.williams.edu/Mathematics/sjmiller/public_html/105/hwsolns/HWSolns_Math105_Sp2013.pdf  click the link

Step-by-step explanation:

Look at Figure 2. What is the measure of x ? ( Hint: you may need to use triangle ACE to help you;) notice the right angle??? NEED HELP ASAP PLEASE

Answers

Answer:

60°

Step-by-step explanation:

Let angle BAE = angle ACD = x

                                BCD  = AEC = 60°

EAC + FCA + ECF + AEC = EAC + x + 60° + 60° = 180°

                                 EAC = 60° - x

                                 BAC = EAC  + BAE = 60° - x + x = 60°

x=60° because of the reflection, hope this helps :)

please help me answer theseeeee

Answers

Answer:

Noah ran faster noah ran 8 and 1/3 in 1 hour

Step-by-step explanation:

noah ran faster. he ran 8 and 1/3 in an hour

The point (7, 0) is reflected over the x-axis. What do you notice about the coordinates of the reflected point? Why is this?

Answers

Answer:

The coordinate stayed the same

Step-by-step explanation:

because when you reflect on the x-axis, the x-axis stays the same while the y-axis gets flipped. in this case, the coordinate is on the y-axis, or the y-axis is 0, and you can't flip 0 to get an opposite. the opposite of 0 is 0, so he coordinate stayed the same.

The value of reflected point is, (7, 0)

And, Any point on the line of reflection is invariant

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The point (7, 0) is reflected over the x-axis.

Hence,

The point (7, 0) becomes the point (7, 0) when reflected over the x-axis. That is, its coordinates do not change.

And, The point (7, 0) lies on the x-axis, so is on the line of reflection. Any point on the line of reflection is invariant--it doesn't move.

Hence, The transformation for reflection in the x-axis is ...

 (x, y) ⇒ (x, -y)

 (7, 0) ⇒ (7, 0) . . . . . . the opposite of 0 is 0

Thus, The value of reflected point is, (7, 0)

And, Any point on the line of reflection is invariant

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ3

Lets see who can do this one!

Answers

Answer:

Ball 3

ice block

Step-by-step explanation:

plllssssssssssssssssssshelp and quick! first gets brainliest!!!!!

Answers

Answer:

The answer is 3

Step-by-step explanation:

0.6x = 0.3x + 0.48 + 0.42

0.6x = 0.3x + 0.9

0.6x - 0.3x= 0.9

0.3x = 0.9

x = 0.9/0.3

x=3

Pls help It says select all thx:)

Answers

Answer:

A and D

Step-by-step explanation:

They both equal 3 feet

A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the circle was 14 feet.

Which expression best represents the value of [tex]\pi[/tex] ?

Answers

Answer:

14 x pi = 43.96

Step-by-step explanation:

14 x 3.14(pi) .......

HELP ME ONLY SMART PEOPLE CAN ANSWER IT!!!!!!

Answers

What is the question asking?

Find the volume of the sphere. Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

Answers

Answer:

33.49

Step-by-step explanation:

The formula for volume of a sphere is 4/3 × π × radius³

The radius in this case is 2

2³ = 8

4/3 × 8 = 10 2/3

10 2/3 × 3.14 ≈ 33.49

You can also right it as (10 2/3) × π

Help asapppppppppppp ​

Answers

The answer is 18.85

C= 2 pi
R=2pi3
the formula for circumference is 2**r. so plug in the radius and it will be 2**3. that equals 6. I am not sure whether for your problem you’re supposed to multiply it by rounded pi, so the following answer is what you would get if you multiplied by pi, rounded. Now is infinite so we round it to 3.14. then multiply 6 by 3.14 and get 18.84 cm.

The point where the graphs of two equations intersect has y-coordinate 2. One equation is y="-" 3x+5. Find the other equation if its graph has a slope of 1.

Answers

Answer:

y = -3x + 5

Let y = 2

2 = -3x +5

-3 = -3x

x = 1

(1, 2)

y = mx + b

y = 1x + b

2 = 1 + b

b = 1

y = x + 1

Answer:

The equation of the line is y= x + 2

Step-by-step explanation:

Help plz :((
I'll give brainliest

Answers

A) condensation
B) the air around the glass of ice water is cooled. Moisture in the air condenses out once the temperature of the air reaches below the dew point.
C) evaporation
D) as the water is left out the warm temperatures allows the water to evaporate over time.
A condensation I believe

Find the slope, or rate of change, from the following tables below. I will give 5 brainlist if you are right ;) ​

Answers

#5 is -6/1 or -6.
#6 is 2/3
Easy number 5 is 6 and 6 is 2/3

Christian is helping Jay’s family build a rectangular deck in their backyard. On the blueprint, the deck is 7.5 inches long and 9 inches wide, and the given scale states that 1.5in =3ft Determine the length and width of the actual deck.

Answers

Answer:

length=15ft width=18ft

Step-by-step explanation:

7.5÷1.5=5 5×3=15

9÷1.5=6 6×3=18

I NEED HELP ON THIS QUESTION PLSSSS.

Answers

Answer:

F

Step-by-step explanation:

the triangle is isoceles and the two bottom angles are equal to each other.

I am just typing this so you can give the the other person brainliest thank me later

A credit card company charges a 5% fee per transaction. If someone spends $40, what fee will the credit card company charge?

Answers

                         ║Δ║·°·Hello·°·║Δ║

                                            Your answer should be:

                                                     $2

                                                       {5% = 1/20}

                                                       {40/20 = 2}

Brainliest is appreciated!

{*+If this does not answer your question or displeases you please tell me in the comments below.+*}

Thank you have a wonderful day!

---Juri Davis

$2
————— equation
$40x0.05%= $2.00
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