The first statement in a formal proof is given.
What should always be the first statement in a formal proof?Remember to always begin our proof with the given information, and complete our proof with what you set out to deliver. As long as you do that, utilize one reason at a time, and only utilize definitions, postulates, and different theorems for your reasons, your proofs will float like a mountain stream.
The most familiar form of explicit proof in high school geometry exists as a two-column proof that consists of five parts: the given, the proposition, the statement column, the reason column, and the diagram (if one exists given).
Therefore, the correct answer is option b) Given.
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You have some trading cards. You give 21 cards to a friend and have 9 left for yourself.
How many cards were in your original deck?
Answer:
30
Step-by-step explanation:
21 + 9 = 30
What is the mean for the data set below
Answer:
B) 8.5
Step-by-step explanation:
[tex]8+10+6+4+12+6+8+14=68\\\\\frac{68}{8} =\boxed{8.5}[/tex]
Option B should be the correct answer.
Hope this helps.
The temperature on the moon can vary from -172 to -126 degrees celsius. Find the difference between the maximum and minimum temperatures. Write with explanation PLEASE!!!
Given:
The temperature on the moon can vary from -172 to -126 degrees Celsius.
To find:
The difference between the maximum and minimum temperatures.
Solution:
It is given that the temperature on the moon can vary from -172 to -126 degrees Celsius.
Since [tex]-172 <-126[/tex], therefore the minimum temperature is -172 and the maximum temperature is -126.
The difference between the maximum and minimum temperatures is:
Difference = Maximum temperature - Minimum temperature
[tex]\text{Difference}=-126-(-172)[/tex]
[tex]\text{Difference}=-126+172[/tex]
[tex]\text{Difference}=46[/tex]
Therefore, the difference between the maximum and minimum temperatures is 46 degrees Celsius.
please help algebra test tomorrow
HELPPPPP ASAP 10 POINTS
Answer:
area = 38.47 cm²
Step-by-step explanation:
area = 1/4(3.14)(7²) = 38.47 cm²
HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!
Answer:
Step-by-step explanation:
Could someone please me find this answer
Answer:
9/100
Step-by-step explanation:
a percent is 9 out of 100 so it is 9/100
Given: Triangle ABC with AB = 45 and BC = 18.
Which of the following are possible lengths for AC?
35
17
7
56
70
27
30
63
Answer:
35, 27, and 30
Step-by-step explanation:
Find m
A Triangle has one 73 angle and a 58 angle. what is the measurement of the third angle?
Answer:49
Step-by-step explanation:
Maria adds 3 cards to her stack of 60. She says now there are only two ways to
arrange the cards into equal groups. Her reason is that 63 is an odd number. Is Maria's
reasoning correct? Explain why or why not.
Answer:
63 is an odd number because the singular number 3 is odd meaning there will be some cards left over.
Maria's reasoning is incorrect. Because, The fact that 63 is an odd number does not necessarily mean that there are only two ways to arrange the cards into equal groups.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
To determine the number of ways that the cards can be arranged into equal groups, we need to consider the factors of 63. In this case, the factors of 63 are 1, 3, 7, 9, 21, and 63. This means that there are six possible ways to arrange the cards into equal groups of any of these factors:
1 group of 63 cards
3 groups of 21 cards
7 groups of 9 cards
9 groups of 7 cards
21 groups of 3 cards
63 groups of 1 card
So, Maria's reasoning is not correct. There are actually six ways to arrange the cards into equal groups, based on the factors of 63.
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Doug is in line at the store. He has three items that cost $4.50, $3.05, and $1.50. Explain how Doug can add the cost of the items mentally before he pays for them.
Answer:
He can add through calculater or by doing addition in his mind
Leo is going to his grandmas apartment. He takes the subway, 3/6 of a mile there and walks another 1/6 mile. How much farther does Leo travel to get to his grandmas?
Answer:
2/6
Step-by-step explanation:
Add 3/6 and 1/6, then the leftover is 2/6.
Pyramid ABCDE is a square pyramid. What is the lateral area of pyramid ABCDE? 2563√ in² 3843√ in² 5123√ in² 10243√ in² Pyramid A B C D E with vertex A and base B C D E. Angle A C B measures 60 degrees and D C equals 16 inches.
Answer:
2563 (square root)in^2
Step-by-step explanation:
i took the test
I NEED HELP ASAP! THIS IS TIMED! WILL MARK BRAINLIEST IF ANSWER RIGHT!
What is the slope. Give answer in Decimal and Fraction.
Answer:
The slope is 15
Step-by-step explanation:
Points on the graph: (2, 30) and (4, 60)
Slope:
m = (y2-y1)/(x2-x1)
m=(60-30)/(4-2)
m=(30)/2
m= 15
how do i get only 50 point questions
Answer:
what?
Step-by-step explanation:
if your asking to filter out all questions for only those that give you 50 points, its not possible at this moment
PLSSS HELP WITH THIS IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link just pls help.
Answer:
(3,5)
Step-by-step explanation:
x axis coordinates are written before y axis.. It's stated that both x and y had 2.. You add 1 to the x axis and add 3 to the y axis
I hope it helped
Can someone plz help me
Answer:
I would say 32 but I'm so sorry if it's wrong
can somebody please help me answer this question
Answer:
the mean is 9
Step-by-step explanation:
add all the numbers then divide by 6
Answer:
The mean is 9.
Step-by-step explanation:
The mean of a data set is all of the numbers added together, divided by how many numbers are present.
For instance, 10+10+8+9+7+10 = 54.
Since there are 6 numbers in this data set, you divide 54 by 6 and get 9.
Therefore, the mean of this data set is 9.
it's all on the picture
Answer:
subtract 12 from both sides of the equal sign
-since you are trying to find h
1
Jennifer writes the letters M-O-N-T-A-N-A on cards and then places the cards in a hat. What is
the probability of picking an N?
Given:
Jennifer writes the letters M-O-N-T-A-N-A on cards.
To find:
The probability of picking an N.
Solution:
We have,
Total number of cards = 7
Total number of cards with letter N = 2
Now, the probability of picking an N is:
[tex]\text{Probability}=\dfrac{\text{Number of cards with letter N}}{\text{Total number of cards}}[/tex]
[tex]\text{Probability}=\dfrac{2}{7}[/tex]
Therefore, the probability of picking an N is [tex]\dfrac{2}{7}[/tex].
Please help!!!!
Which set of side lengths forms a unique triangle ?
A. 4 cm, 4 cm. 8 cm
B.13 cm. 18 cm. 33 cm
C. 7 cm. 14 cm, 20 cm
D.106 cm, 215 cm, 323 cm
Answer:
a
Step-by-step explanation:
PLEASE HELP IF YOU WANT BRIANLEIST TY!! ^ ^
Round 452.196 to the nearest tenth
The circumference of a circle is 7π m. What is the area, in square meters? Express your answer in terms of \piπ.
Answer:
A ≈ 3.9
Step-by-step explanation:
How to solve
Using the formulasA=πr2
C=2πr
Solving for AA=C2
4π=72
4·π ≈ 3.8993
Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9
A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, and 10% hazelnuts, and the rest are peanuts. You buy a large can and separate the various kinds of nuts. Upon weighing them, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises. a) Explain why the chi-square goodness-of-fit test is not an appropriate way to find out. b) What might you do instead of weighing the nuts in or- der to use a test
Answer:
jhtbieugcn5guwnhhubymymuwihyehnmedmilgb,dhlhut,dybidbthi,yibtjd,njhsknhb
Step-by-step explanation:
find <ABC. Please help.
Answer:
[tex]\angle\ ABC=70[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]
[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]
[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]
[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]
[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]
[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]
Solve -3x + 12 = 2x - 18
Answer:
The value of x is 6
Step-by-step explanation:
- 3x + 12 = 2x - 18
12 + 18 = 2x + 3x
30 = 5x
5x = 30
x = 30 ÷ 5
x = 6
Thus, The value of x is 6
-TheUnknownScientist
If JM = x + 17 and MK = 5x - 23 find JL
Answer: 54
Step-by-step explanation:
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of JL is 54 units.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
For a rectangle the length of the diagonals is equal, also the diagonals bisect each other in equal parts, therefore, we can say,
HM = JM = MK = ML
Substitute the value of JM and ML,
JM = MK
x + 17 = 5x - 23
x - 5x = -23 - 17
-4x = -40
x = 10
The length of JM can be written as,
JM = x + 17 = 10 + 17 = 27
Since HM = JM = MK = ML, therefore,
JL = (JM + ML) = 27+27 = 54 units
Hence, the length of JL is 54 units.
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You need to match it. 32 inches 2 yards 5 inches 77 inches 4 yards 144 inches 2 feet 8 inches 3 yards 9 inches
9514 1404 393
Answer:
32 inches = 2 feet 8 inches 2 yards 5 inches = 77 inches 4 yards = 144 inches 3 yards 9 inches = 117 inchesStep-by-step explanation:
Each yard is 36 inches; each foot is 12 inches.
32 inches = 2 feet 8 inches 2 yards 5 inches = 77 inches 4 yards = 144 inches 3 yards 9 inches = 117 inches