Please help to solve this question, and provide the formal proof. Very much appreciated, and have a great day!
Answers
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
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:
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:
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
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:
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:
Help plz :((
I'll give brainliest
Answers
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.
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:
Help asapppppppppppp
Answers
C= 2 pi
R=2pi3
Please help!!
(5 points AND BRAINLEST)
Answers
Answer: its is D
Step-by-step explanation: it is D
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
The radius of a circle is 6.5 inches. Find the circumference of the circle. Use pi as 3.14. Explain your steps.
Answers
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
Pls help It says select all thx:)
Answers
Answer:
A and D
Step-by-step explanation:
They both equal 3 feet
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°
please help me answer theseeeee
Answers
Answer:
Noah ran faster noah ran 8 and 1/3 in 1 hour
Step-by-step explanation:
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
Which is the graph of the system of equations y = 3x + 6 and y = 3x +1?
Answers
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.
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
she will owe each friend $40
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
Lets see who can do this one!
Answers
Answer:
Ball 3
ice block
Step-by-step explanation:
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
A credit card company charges a 5% fee per transaction. If someone spends $40, what fee will the credit card company charge?
Answers
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
————— equation
$40x0.05%= $2.00
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
Can someone give the answer to H
Answers
Find the slope, or rate of change, from the following tables below. I will give 5 brainlist if you are right ;)
Answers
#6 is 2/3
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.
HELP ME ONLY SMART PEOPLE CAN ANSWER IT!!!!!!
Answers
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:
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.
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:
6Step-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
Area/height
45/7.5
Please help ASAP!
Questions 1-4
Answers
Answer:
it is a test I am not going to help
Step-by-step explanation: