Mathematics Middle School

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

What is the probability you would spin a yellow or green space on this spinner?

Answers

Answer:

I'm pretty sure the answer is 4/8 or 1/2

Answer : 89 possibility’s

Explanation:

The possibility is 89 percent because the corners of green spin is always in the corner welled the the down will either go to green or blue of 99 percent tposibility

PLZZZ HELP MEEEE im in desprite need

Answers

Answer:

105

Step-by-step explanation:

A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.


Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84

Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89

Calculate the range and interquartile range for each set of data.
Using complete sentences, compare the data sets based on your results in part A.

Answers

You add all of the numbers and the divid by the amount of number for example 88+ ......... = 1667 and then you divid by 18 because that is how many numbers there are equaling 92.61% so 92.61% STUDIED

Answer:

horrible scores!

Step-by-step explanation:

Need help with these two will give brainliest

Answers

Answer:

x = 14

y = 39

A. 114F degrees

Step-by-step explanation:

well for the first one they're asking for a simliar ratio to show the relationship between all of the points

so we must line up and simplify all the points to try and find a simliar ratio

so the ratio is 2/3

because if we simplify 8/12 and 16/24 they both come down to 2/3

so if we plug that in to find x we get x = 14

and then if we that in for y we get y = 39

now for the second question this is a pretty simple addiction subtraction kind of problem but here's some help

if the highest temperature was 93 and the lowest was -21 we just have to find how many degrees are in between those two

therefore leaving us with the answer

A. 114F degrees

hope this helps you out, if it doesnt please make sure to like and give me the brainliest if possible!

thanks have a nice day

Answer:

Step-by-step explanation:

i know that the second one is 114°

im not sure abt the first one

An __________ is a mathematical sentence in which two sides are not equal and are separated with the symbols <, >, ≥, ≤

Answers

Answer: An inequality is a mathematical or arithmetic phrase that is not equal; this inequality prohibits the equal sign. Instead, inequalities are expressed with greater than (>), less than (<), equal to or greater than (≥) or equal to or less than (≤).

An inequality is a mathematical or arithmetic phrase that is not equal; this inequality prohibits the equal sign. Instead, inequalities are expressed with greater than (>), less than (<), equal to or greater than (≥) or equal to or less than (≤).

sheesh help a shawty out rq

Answers

Answer:

200, 30

Step-by-step explanation:

i think

Answer:

What they said

Step-by-step explanation:

HELP ASAP!!!
(10 POINTS AND BRAINLEST)

Answers

C
So it is the two triangles plus the rectangle sides and one triangle is 35.1 so two is 70.2 and then each of the rectangular sides is 16x9 which is 144 and there’s 3 of them so 432. 432+70.2 is 502.2 so it’s c

Answer:

C.

Step-by-step explanation:

All I did was use the formulas

17 of 40 students brought Valentine Smencils. What percentage brought Smencils?

Answers

42.5%
17/40=0.425
0.425*100=42.5%

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:

How can you isolate the variable in this inequality?

3b < -99.

A
Subtract 99 from 3b.

B
Add 99 to both sides.

C
Divide both sides by 3.

D
Multiply both sides by 3.

Answers

Answer:

C- Divide both sides by 3.

Step-by-step explanation:

In order to isolate the variable, we will have to remove all non-1 coefficients from the variable. Since 3b can be written as 3(b), b is being multiplied by 3. So the only way to isolate the variable is to do inverse operations, which would be to divide both sides of the inequality by 3.

Hope this helped!

Answer:

C

Step-by-step explanation

How many kittens weigh at least 3/8 of a pound?!?!
A.12
B.9
C.7
D.4
Pls help I’m in a timer!

Answers

Answer

9

Step-by-step explanation:

The answer to this is is D - 4

ANSWER THIS QUESTION FOR 10 POINTS AND BRAINLEST

Answers

Answer:(1,1)

Step-by-step explanation:

Can you help me please, I don't want to get this wrong.

Answers

Answer:

The answer is number 3 Because it is supposed to divide the number

The answer is number 3

HELPS ME I NEEEEEEEED THE ANSWER TO THIS

Answers

The answer I believe is 5.8
best way to get these done is to use Mathaway, you take a picture and it solves it however you need to,, it’s more efficient than going on here,, it’s also free,, lemme know how it works for you

Find the value of each expression mentally.



1. (0.23) ⋅ 100

Answers

23 because you are just moving the decimal place over two

!!(Help me please)!!

Answers

Answer:

the bottom right answer

Step-by-step explanation:

solve 39➗11
A.3,5/11
B.3,6/11
C.11,1/2
D.6,3/11

Answers

B. 3 6/11 that is the answer your welcome
It’s B. 3,6/11

Simplified by using GCD or HCF method

Maria is baking apple cinnamon muffins. Use the recipe card to answer the questions.



Maria puts some of the chopped apples in a bowl. She leaves out

1/2 cup of the apples to use later in the recipe. Next, she adds all of the oil.

What is the total amount of the apples and oil in the bowl?

Answers

Answer:

3- 1 1/4-1/2, 5/4-2/4= 3/4 + 1/4= 1 cup of apples and oil

Step-by-step explanation:

I am really good at math and I did the quiz

I need help ASAP, I'll give a brainly for whoever gets this correct. Please explain your answer too. I'm trying to study for a math test but I don't know what fraction you can get off this

Answers

Answer:

A.

Step-by-step explanation:

There are 8 choices in total, as seen, that are all different

We are looking for a salad, a steak, and any dessert.

Salad > Steak > . . .

Here, we can choose 2 of the 8 options because we can choose any dessert.

Because we can choose 2/8, that is our probability of getting it.

However, we must simplify, making it 1/4.

Our answer is A.

6 x − 1 8 ≤ 2 7 Pls solve

Answers

Answer:

Step-by-step explanation:

6x - 18 < 27

Bringing like terms on one side

6x <_ 27 + 18

6x <_ 45

x <_ 45/6 = 7.5 or 15/2

Can you help me with this question about Toni

Answers

The answer is B explanation: 3/4 of an hour is 45, 45 times the amount of classes there is (8) is 360. 360 divided by how many minutes are in an hour (60) is 6 which means two hours left over for free time
It b.2 I doesn’t let me show u how to show the work :(

please help me on this for brainliest and a brownie

Answers

Answer:

A = 67

Step-by-step explanation:

a - 48 = 19

  +48    +48

a = 67

Hope this Helps

Answer:

it is 67 because 48 + 19 = 67

Step-by-step explanation:

what is the y-intercept (1, 5)

Answers

I think it’s 2.5 Cuzz yes
The 5 because (x,y) is how coordinates are written

(1/?) Please tell me if these are corect or wrong, If it's wrong, tell me what number I should change

Answers

Answer:

Yes they are correct

Step-by-step explanation:

Answer:

1 is b 2 is correct 3 is correct 4 i dont know (going in order of the pictures)

Step-by-step explanation:

How big is the ice hockey goal?

Answers

Answer:

6x4

Step-by-step explanation:

picture below for proof.

What is the scale factor?



Explaining how to solve this type of problem would also be appreciated!

Answers

A scale factor is a decimal that scales or multiples into some kind of quantity
Explaining is the answer. Hope this helps:)

BEST Answer gets brainliest, ten points, a thanks AND a five star review:))

Answers

It’ll be divided by -1/2 for each number

Giving brainliest!!!!!

Answers

Answer:

224 square inches

Step-by-step explanation:

B. 224 square inches I believe

Find the slope of the line represented by the table of values.

Answers

Answer:

9/2 or4.5

Step-by-step explanation:

(2,8) (4,13)

y2-y1/x2-x1=m

13-8/4-2/=9/2

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

Answers

What is the question asking?
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