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
FIRST TO ANSWER GET BRAINLIEST
This is the graph of a __function.
The y-intercept of the graph is the function value y=
The smallest positive x-intercept of the graph is located at x=
The greatest value of y is y=___, and it occurs when x=
For x between x = π and 2π, the function value y ___ 0
Answers
Answer:
1) Cos
2) 1
3) π
4) 1
5) y < 0
Step-by-step explanation:
1)
Cos
2)
The y-intercept is the value of y when x=0, ie the value of y when the line meets the y-axis. We can see from the graph that this is 1.
3)
The x-intercept is the value of x when y=0, ie the value of x when the line meets the x-axis. We can see from the graph that the smallest positive value of x when the line crosses the x-axis is π.
4)
Highest y value from graph is 1, and besides, for cos graphs, y≤1.
5)
We can see from the graph that between x=π and x=2π, the function is bellow the y-axis, ie y<0.
The graph is of a cos function. The y-intercept of the graph is the function value y=1. The smallest positive x-intercept of the graph is located at x=π. The greatest value of y is y=1, and it occurs when x=2π. For x between x = π and 2π, the function value y<0.
The point on the graph where it crosses the y-axis is known as the y-intercept. The y-intercept in this situation is zero since the graph crosses the y-axis at (0, 0).
The point at which the graph first crosses the x-axis at a positive value of x is known as the graph's smallest positive x-intercept. The graph in this instance crosses the x-axis at (x,0), making the smallest positive x-intercept.
The maximum value of the function is equal to the highest value of y. The greatest value of y in this situation is 1, and it happens when x = 2.
The function value y declines from 1 to 0 for x between x = and 2. You can observe this by examining the graph.
To know more about cos function:
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can someone help me plz asap
Answers
Answer:
Hope this helps.
Step-by-step explanation:
With whole unit cubes the answer will be in a whole number. So the answer with whole unit cubes is 60. But with half unit cubes the answer will be basically split in half, so the answer would be about 480 ish.
AIIIIIIIIIIIII READ DIS!!!!!!!
Answers
Answer:
Sales tax: $2.37
Subtotal: $16.95
Step-by-step explanation:
$24.95×0.095=$2.37 sales tax
$1.61÷0.095=$16.9473 or $16.95 subtotal
Pls helppppp 100 points!!
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
A. 10x - 25y + 18 - 25x + 10y - 3
B. -15x - 15y + 15
C. -10x + 25y + 18 + 25x - 10y + 3
D. 35x - 35y + 21
Answers
Answer:
D
Step-by-step explanation:
please the answer is D which is 35x - 35y + 25
1 4/5 1 5/8: reduce to lowest terms
Answers
Answer:
they are both in lowest terms
Step-by-step explanation:
Please help due today 30 points {Marked brainlist} ONLY EVENS
Answers
Answer:
did you try to figure it out
Step-by-step explanation:
2) x=-15
4) x=-9
6) x=1
8) x=-5
10) x=-2
12) x=10
14) x=6
16)x=4.9
18) $10.75 per shirt
20) 53 and 51
A volcano on a recently discovered planet rises to a height of .
Use the table of facts to find the height of 15.338 mi. the volcano in feet.
Round your answer to the nearest tenth.
12 inches ( in ) = 1 foot ( ft )
3 feet ( ft ) = 1 yard ( yd )
36 inches ( in ) = 1 yard ( yd )
5280 feet ( ft ) = 1 mile ( mi )
1760 yards ( yd ) = 1 mile ( mi )
Answers
Answer:
21 km
Step-by-step explanation:
The volcano has a height of over 21 km (13.6 mi or 72,000 ft) as measured by the Mars Orbiter Laser Altimeter (MOLA). Olympus Mons is about two and a half times Mount Everest's height above sea level.
Unit conversion is the conversion of one unit to another unit with its standard conversion.
The height of the volcano is 15.338 miles.
1 mile = 5280 feet.
15.338 miles = 80984.6 feet.
The height of the volcano in feet is 80984.6 feet.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 meter = 100 cm
We have,
The height of the volcano = 15.338 miles ___(1)
It is given that,
1 mile = 5280 feet _____(2)
From (1) and (2) we get,
15.338 miles
= 15.338 x 1 mile
= 15.338 x 5280 feet
= 80984.64 feet
Rounding to the nearest tenth.
= 80984.6 feet
Thus,
The height of the volcano is 15.338 miles.
1 mile = 5280 feet.
15.338 miles = 80984.6 feet.
The height of the volcano in feet is 80984.6 feet.
Learn more about unit conversion here:
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plz help
its not the one with the x
Answers
Answer:
The third one
Step-by-step explanation:
The x value repeats.
Simplify the expression:
10(b-6)
Answers
Answer:
10b-60
Step-by-step explanation:
Use the distributive property to get rid of parenthesis
can anyone help pls i need help?!?! Mr. Gonzalez ran a marathon in 4hr. 25 min. How many seconds did it take for him to run the full marathon?
Answers
Answer:
14550 seconds
Step-by-step explanation:
Answer:
18940 seconds
Step-by-step explanation:
!!!!!!!!!!!!!!!!PLEASE SHOW YOUR WORKKKKKKKKKKKKKK!!!!!!!!!!!
Answers
Answer:
1/2 a liter was poured out 1 1/2 of a liter is left
Step-by-step explanation:
2 times 1/4 = 0.5 (1/2):
2/1 x 1/4 = 2/4
Simplify to 1/2
Then:
2 - 1/2 = 1 1/2
Groundhog's Day is on February 2nd each year. On this day, in Punxsatawney, Pennsylvania, thousands of onlookers watch to see if Phil, the groundhog, will cast a shadow. If he does, then six more weeks of winter are predicted. If he doesn't, then an early spring is predicted. Historically, Phil's prediction has only been correct about 40% of the time.
Using complete sentences, design a simulation to determine the probability that Phil's prediction will be correct at least two out of the next three years. Make sure to explain how you would use the simulation to determine the probability.
Answers
A simulation to determine the probability that Phil's prediction will be correct at least two out of the next three years is given as follows:
Choose three numbers with replacement from the set of 0 to 9, which:
numbers from 0 to 3 representing that Phil is correct.numbers from 4 to 9 represents that Phil is incorrect.How to calculate a probability?The parameters that are needed to calculate a probability are given as follows:
Number of desired outcomes in the context of a problem/experiment.Number of total outcomes in the context of a problem/experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The probability of a success on a single trial is given as follows:
40% = 0.4, as Phil is correct 40% of the time.
Hence the simulation needs to have three trials, each with a 0.4 = 40% probability of a success.
Learn more about the concept of probability at brainly.com/question/24756209
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MATH- Look at the picture and answer correctly so i can mark you as brainliest.
Answers
Answer:
The answer in B please mark Brainliest.
Step-by-step explanation:
It is very easy.
5 STARS, BRAINLIEST, & THANKED FOR THE FIRST CORRECT ANSWER!!
Solve the system of equations using the elimination method.
3x + 2y = 14
2x + 4y = 12
Answers
x= 4
y= 1
hope this help ma
3x = 14 - 2y
3x = 12y
3x/3 = 12y/3
x=4y
2x+4y = 12
2x = 12-4y
2x = 10y
2x/2= 10y/2
x=5y
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
Find X, thanks in advance
Answers
Answer: 63
Step-by-step explanation:
X = 63
Its adjacent meaning they will add up to 180 degrees
PLEASE HELP ASAP
WILL GIVE BRANLIEST
FIND THE SHADED AREA
Answers
Answer:
you need to find the white shapes, then you add all of the white shapes together, then you subract that from the whole circle and you get the shaded area
how many inches are in 4 yards
Answers
Answer:
144 inches
Step-by-step explanation:
Find the equation on the line.
Answers
Remember to find the slope using rise over run. So connect two points (2,0) and (0,3) start at (2,0) go up until it is in line (3) and then left or right to get your point (-2)
Can somebody give me an ACTUAL ANSWERS. This is due today. Will mark as brainliest.
Answers
Answer:
the answer is a and c
Step-by-step explanation:
Can someone plz help me with this one problem!!!
Answers
Answer:
-94
Step-by-step explanation:
the rule is -5
Answer:
-94
Step-by-step explanation:
-69 + 5 = -74
-74 + 5 = -79
-79 + 5 = -84
-84 + 5 = -89
-89 + 5 = -94
hopw this helps
Dont know where to get the last point help!!
Answers
Answer:
230 i believe because multiplication
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.
Unit: Transformations
Homework 4
Nome
Date
Pd
ROTATIONS ON THE COORDINATE PLANE
Use the figure to answer the questions below. Match your onswers in the table to solve the ridde.
II
1
(2-2)
(22)
O Find A' after A Find B' after B
is rotated 90° is rotated 270
clockwise. 02. clockwise.
|(-2,-7
(272)
Find Cafter Find D' after D
is rotated 180° is rotated 90°
1,-2
clockwise. clockwise. 2.1
(1-7)
(1-2)
Find A' after A Find Blofter B
is rotated 180°-2,-7 is rotated 270"
counterclockwise. counterclockwise.
(-2,-7)
42.7)
Find Carter C o Find Darrer
IV
is rotated 90° is rotated 180
counterclockwise. counterclockwise
S (7-7)
C (-2,-7)
B (-7,-7) (-7, -1) W (21)
o Find A' after A 00 Find Bortor
11 (-7,2 R (2.0
is rotated 270° Bis rotated 180°
clockwise,
clockwise
IU (-2,-1) E(-1,2) P-1,7
IN (-7,7) A 17.-2) D(20)
00 Find Cafter 00 Find D' after
C is rotated 90° Dis rotated 90°
clockwise
counterclockwise.
WHY DOES NOBODY TALK TO CIRCLES?
히이이이이이이 이시이 이이이이이이
Answers
Answer:
do you still need help?
Step-by-step explanation:
In geometry, transformations are used to move a point or points from one position to another.
Points A, C and D after [tex]90^o[/tex] clockwise rotation are: [tex]A' =(7,-2)[/tex], [tex]C' = (1,-7)[/tex] and [tex]D' = (1,-2)[/tex]Points A and B after [tex]270^o[/tex] clockwise rotation are [tex]A' = (-7,2)[/tex] and [tex]B' = (-7,7)[/tex].Points B and C after [tex]180^o[/tex] clockwise rotation are [tex]B = (-7,-7)[/tex] and [tex]C' = (-7,-1)[/tex].Points A and D after [tex]180^o[/tex] counterclockwise rotation are [tex]A = (-2,-7)[/tex] and [tex]D = (-2,-1)[/tex].Points C and D after [tex]90^o[/tex] counterclockwise rotation are [tex]C' = (-1,7)[/tex] and [tex]D' = (-1,2)[/tex].Point B after [tex]90^o[/tex] clockwise rotation is [tex]B = (7,-7)[/tex]From the plane, we have the following coordinates:
[tex]A = (2,7)[/tex]
[tex]B = (7,7)[/tex]
[tex]C=(7,1)[/tex]
[tex]D = (2,1)[/tex]
When a point is rotated [tex]90^o[/tex] clockwise, the rule is:
[tex](x,y) \to (y,-x)[/tex]
So, the new points after A, C and D are rotated [tex]90^o[/tex] clockwise are:
[tex]A' =(7,-2)[/tex]
[tex]C' = (1,-7)[/tex]
[tex]D' = (1,-2)[/tex]
When a point is rotated [tex]270^o[/tex] clockwise, the rule is:
[tex](x,y) \to (-y,x)[/tex]
So, the new points after A and B are rotated [tex]270^o[/tex] clockwise are:
[tex]A' = (-7,2)[/tex]
[tex]B' = (-7,7)[/tex]
When a point is rotated [tex]180^o[/tex] clockwise and counterclockwise, the rule is:
[tex](x,y) \to (-x,-y)[/tex]
So, the new points after B and C are rotated [tex]180^o[/tex] clockwise are:
[tex]B = (-7,-7)[/tex]
[tex]C' = (-7,-1)[/tex]
And, the new point after A and D are rotated [tex]180^o[/tex] counterclockwise are:
[tex]A = (-2,-7)[/tex]
[tex]D = (-2,-1)[/tex]
When a point is rotated [tex]90^o[/tex] counterclockwise, the rule is:
[tex](x,y) \to (-y,x)[/tex]
So, the new points after C and D are rotated [tex]90^o[/tex] counterclockwise are:
[tex]C' = (-1,7)[/tex]
[tex]D' = (-1,2)[/tex]
Lastly, when a point is rotated [tex]270^o[/tex] counterclockwise, the rule is:
[tex](x,y) \to (y,-x)[/tex]
So, the new point after B is rotated [tex]90^o[/tex] clockwise is:
[tex]B = (7,-7)[/tex]
Read more about transformations at:
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i need help with this plssssss
Answers
Answer:
25 miles
Step-by-step explanation:
2.5/10=x/10
25= x
I Need Help With All of these questions, I don't like fractions.
Answers
Answer:
question 1. plot the points
question 2. add all the points together
question 3. biggest point and smallest point and find the difference( in this situation difference means subtract)
question 4. 2[tex]\frac{7}{8}[/tex] and multiply by 3
question 5. add smallest point and biggest point to get sum
question 6. make equation, solve and explain your answer
Answer:
1. cant make numberline sorry
2. 12
3. [tex]1\frac{7}{8}[/tex]
4.[tex]8\frac{5}{8}[/tex]
5. [tex]4\frac{5}{8}[/tex]
6. Eli is correct. The shortest length is [tex]1\frac{3}{8}[/tex] and the longest length is [tex]3\frac{2}{8}[/tex] . [tex]1\frac{3}{8}[/tex] x 3 = [tex]4\frac{1}{8}[/tex] which is more than [tex]3\frac{2}{8}[/tex]. This means that the longest length is less than 3 times the shortest length.
Step-by-step explanation:
8xn<2 how do I solve this???
Answers
Answer: n<9x and x<9n
Step-by-step explanation: Hope this help :)
If she would have left the money in the account for another nine months before withdrawing how much interest would the account have earned
Answers
Simplify: 176/14 ___, ___.___
Answers
Answer:
12 4/7
Step-by-step explanation:
Exact Form: 887
Decimal Form: 12.57142857…
Mixed Number Form: 12 4/7
Answer:
12 4/7
Step-by-step explanation:
pls pls pls answer/question
Answers
Answer:
31 - 12=p
p= 19
Step-by-step explanation:
Answer 18 I believe
Step-by-step explanation:
