Use the following images to answer the question:
a. Write a truth statement about each picture using Euclidean postulates.
b. Write the matching Euclidean postulate.
c. Describe the deductive reasoning you used.
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Truth statement are statements or assertions that is true regardless of whether the constituent premises are true or false. See below for the definition of Euclidean Postulates.
What are the Euclidean Postulate?
There are five Euclidean Postulates or axioms. They are:
1. Any two points can be joined by a straight line segment.
2. In a straight line, any straight line segment can be stretched indefinitely.
3. A circle can be formed using any straight line segment as the radius and one endpoint as the center.
4. Right angles are all the same.
5. If two lines meet a third in a way that the sum of the inner angles on one side is smaller than two Right Angles, the two lines will inevitably collide on that side if they are stretched far enough.
What are the truth statements relating to the pictures and their equivalent Euclidean Axiom?The right angle in the first page of the book shown and the right angles in the last page of the book shown are all the same. (Axiom 4);If the string from the Yoyo dangling from hand in the picture is rotated for 360° such that the length of the string remains equal all thought, and the point from where is is attached remains fixed, it will trace a circular trajectory. (Axiom 3)The swords held by the fighters can be extended into infinity because they are straight lines (Axiom 5)Learn more about Euclidean Postulates at:
https://brainly.com/question/3745414
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Related Questions
PLS HELP QUICK!!!!! 28 POINTS EACH
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Answer:
better do what I do, add never goes wrong
Step-by-step explanation:
i lied it always does
180-130=50
180-96=84
50+84=134
180-134=46
Financial Literacy Budget
Answers
This composite figure is made up of three simpler shapes. What approximate area of the figure use 3.14 for Pi. A,B,Cor D?
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Answer:
B. 24.28 square feet
Step-by-step explanation:
To find the area of the entire composite figure, you will want to find the area of each shape in it and add them up. Personally, I like to start with the easiest one so in this case I would start with the rectangle.
To find the area of the rectangle, you must multiple length and width (l × w or b × h). So you would multiple 4ft by 3ft in this problem. The area of the rectangle then is 12 squared feet (12 ft²).
Next, find the area of the triangle using the formula 1/2×b×h (base= b; height= h). This is because since triangles are basically just squares and rectangles cut in half, all you would do it do the extra step of multiplying it by 1/2. In this problem, after substituting, you would get 1/2(4)(3). The area of the triangle then is 6 squared feet (6 ft²).
Finally, you want to find the area of the semi-circle. To do so, you must use the formula for finding the area of a circle which is π(r)². It is important to pay attention to what is given in the problem because of including the wrong number in your calculations.
In this problem, you are given the diameter of a circle, but what you need is the radius (per the circle area formula) so all you need to do it half it.
Diameter= 2r or Radius = 1/2D
This gives you the fact that the radius of a circle from this problem is 2 because the diameter is 4. HOWEVER, you need to remember that this problem is not asking you to include the area of a circle, it is asking for a semi-circle. This means that you would have to half the answer you get.
There are two easy ways of doing so for this case like:
1/2 π(2)² 1/4 π (2)²
Just plug either equation into the calculator and have it solved to have the area of the semi-circle.
The last and easiest step is just adding all 3 areas calculated to get the approximate total area of the figure!
12+6+6.28= 24.28 squared feet (24.28 ft ²)please help me find the surface area and volume
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Answer:
3) SA= 64 V=28
4) SA= 192 V=144
5) SA=179 V=144
6) SA=60 V=24
192, 144
179, 144
69, 24
Find an equivalent ratio where the total number of games is 100
Wins: 3
Total games: 12. 100
Answers
Answer: 25
Step-by-step explanation:
3 x
__ = ___
12 100
If 3 games were won out of a total of 12, we can use this number to determine about how many wins would happen if the total were 100.
We can cross mulltiply with the proportion above:
12x= 300
x= 25
Another method we can use is to use the probability. In other words, 3/12 wins= a probability of 1/4. When they ask how many out of something can be found using an outcome from a previous event, multiply that event by the new number, or 100.
1/4 of the games were won when the total was 12, so out of 100, we can do:
1/4 of 100 = 25.
25 wins expected
Hope this helps :)
Explain and provide an example of the conditional probability formula, addition rule of probability, and multiplication rule.
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Answer:
P(A ∪ B) = P (A) + P(B) – P(A ∩ B)
Step-by-step explanation:
Conditional probability: p(A|B) is the probability of event A occurring, given that event B occurs. For example, given that you drew a red card, what's the probability that it's a four (p(four|red))=2/26=1/13. So out of the 26 red cards (given a red card), there are two fours so 2/26=1/13.
some one answer these questions pls
Answers
Answer:
do the first part yourself but for part b you have to do this
Step-by-step explanation:
(10+8)×(8+8)×(8+10)=5184mm
The scatter plot below represents the weight of a bunch of bananas based on the number of bananas in the bunch. A trend line shows the relationship.
About how many pounds does the trend line predict that a bunch with 9 bananas will weigh?
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Answer:
Step-by-step explanation:3.0
I need help with the 3 questions shown
Answers
Answer:
u need to draw Po because graph Po yan
B is correct because it is the correct point slope form
Can someone help me this is part of my final exam don't put fake answers
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Answer:
It is the systematic random sampling
Step-by-step explanation:
I found this definition online on a khan academy website that will prove that the systematic random sampling is correct:
"Systematic random sample: Members of the population are put in some order. A starting point is selected at random, and every n^th member is selected to be in the sample."
Hope this helps!
-Karen
Point A is located at (-2, -6) and is translated 4 units up. What are the coordinates of point A'?
1. (-2, -2)
2. (2, -6)
3. (-6, -6)
4. (-2, -10)
Answers
Answer:
Number 1, (-2, -2)
Step-by-step explanation:
A company printed 10,398 flyers for its sales people. Each sales person received the same
number of flyers. How many sales people could there be?
Select all the possible numbers.
5
3
2
6
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Answer:
3,2,6
Step-by-step explanation:
if you divide 10,398 by all numbers 3,2 and 6 have whole numbers:)
hurry ill give brainly
Answers
Answer: The answer would be 15
Hope this helps
Type a digit that makes this statement true.
8,00 118 is divisible by 3.
Submit
Answers
Answer:
0;3,6;9................................
Answer:
Maybe 3
Step-by-step explanation:
how much is thirteenth 1 cents + 7 dimes + 1 five cents equal?
I'm trying to make a dollar *
Answers
Answer:
I think it is 21sorry if wrong
Answer:
76 cents close to a dollar but not quite there yet
Step-by-step explanation:
(Will give 20 points) There are a total of 52 students on the soccer team and the field hockey team. The field hockey team has 12 more students than the soccer team. Write a system of linear equations that fits this situation. How many students are on the soccer team x and the field hockey team y?
Answers
Answer:
x + y = 52
y = x + 12
(soccer team) x = 20, (hockey team) y = 32
Step-by-step explanation:
x = students on the soccer team
y = students on the hockey team
x + y = 52
y = x + 12
Substitute y = x +12 to get:
= x + x +12 = 52
= 2x + 12 =52
Isolate x for 2x + 12 = 52: x = 20.
Now incorporate a new equation with x = 20:
y = 20 +12
y = 32
Therefore:
x = 20, y = 32
X=20 Y=32
Explanation:
Trust
The probability of rolling a number greater than 1 on a six-sided number cube us 5/6. Choose the likelihood that best describes the probability of this event.
A. Neither likely nor unlikely
B. Impossible
C. Likely
D. Unlikely
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This was one of my questions, I forgot I had to do this.
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Answer:
Step-by-step explanation:
Discussion
I can sympathize with your confusion. You might be helped if you knew what the squares meant. Is 1 square = 1 inch or 4 miles? You don't know and can't tell. So I'm going to say that 1 square is 1 unit.
Givens
The vertical line is 3 units long.
The horizontal line is 4 units long.
Formula
Area = 1/2 horizontal * vertical or
Area = 1/2 * base * height Substitute givens into this formula
Substitution and Solution
Area = (1/2) 3*4
Area = (1/2) 12
Answer: Area = 6 units
8th grade geometry part 3, please explain the steps :)))
Answers
Answer: Volume = 97.6
Step-by-step explanation:
Volume of the cone first
V = 1/3 h π r²
h = 0.7
r = 2
V = 1/3 × 0.7 × 2² × 3.14
V = 1/3 × 0.7 × 4 × 3.14
V = 1/3 × 8.792
V = 2.93
Then find the volume of the cylinder if the cone was there.
V = π r² h
r = 2
h = 8
V = 3.14 × 2² × 8
V = 3.14 × 4 × 8
V = 3.14 × 32
V = 100.48
Now you subtract the volume of the cone from the cylinder.
100.48 - 2.93 = 97.55
Rounded to the nearest tenth is 97.6
Hope this was helpful, I know it is a lot to look at but I tried my best.
Also, can I get brainliest? I worked really hard on this.
Which is an enequality
Answers
Answer:
b
Step-by-step explanation: I dont have an explanation for u ho3
Answer:
-2.5<-2 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
WILL GIVE BRIANLEST!!!!!!!!
What are the dimensions of the base of the pyramid? 8 ft by 6 ft 8 ft by 3 ft 6 ft by 3 ft 8 ft by 9 ft
PLS HURRY!!!!!!!!
Answers
Answer:
3ft * 8ft
Step-by-step explanation:
The base of the pyramid is the rectangle, and the rectangle has the dimensions of 3ft * 8ft.
Good day!
Name all the angles.
A. 3 acute angles, 2 right angles
B. 2 acute angles, 3 right angles
C. 2 right angles, 2 obtuse angles, 1 acute angle
D. 2 obtuse angles, 2 acute angles, 1 right angle
Answers
Point A is located at (-2, 4). After it is transformed, point A' is located at (2, 4). What could the transformation be?
1. A reflection in the y-axis
2. A translation 4 units to the right
3. A rotation of 90° around the origin
4. A translation 4 units up
Answers
please look at answer is attched
After y – 4x = 12 is put in slope-intercept form, what is the slope?
-4
1/4
-3
4
Answers
Answer:
Slope is 4.
Step-by-step explanation:
The slope-intercept form is y=mx+b
We have to move the -4x over to create a slope-intercept equation.
∴ y=4x+12
Since m=4, the slope would be 4.
Answer: 4
Step-by-step explanation:
First, you have to arrange the equation in the correct way so that you will be able to get the slope. when -4x is shifted to the other side in order to make y the subject -4x will become +4x, so then it is obvious that the slope is 4! yay!
PLS HELP
Yvubijomobytcrcvyb
Answers
Answer:
Ha? Hakdog
Step-by-step explanation:
Mag aral ka mag isa mo wg asa sa brainly ulol
Answer all 4 questions for brainiest and 15 points
Answers
Answer:
12 is A
Step-by-step explanation
13 is A
14 or b and
15 is b
13 is A
14 is B
15 is B
Lamar and his family sell strawberry jelly and blueberry jelly at the farmers' market every Saturday. So far this year, they have sold a total of 973 jars of jelly. If they have sold 449 jars of blueberry jelly, how many jars of strawberry jelly have they sold?
Answers
Answer:
524
Step-by-step explanation:
973-449=524
Write an equation to represent the cost ordering balloons from Balloons-R-Fun.
You and your friends are considering having balloons delivered to your favorite teacher on the last day of school. Ballons-R-Fun charges $1.25 per balloon and $6 delivery fee. Singing Balloons charges $1.45 per balloon and $2 for delivery fee. Use a system of equations to calculate what the cost will be if you ordered the same number of balloons from either service.
Answers
Ballons-R-Fun:
cost=(n x 1.25) + 6
Singing Balloons:
cost=(n x 1.45) + 2
* n = number of balloons
If this equation is used:
eg. 5 balloons were order.
Ballons-R-Fun:
cost=(n x 1.25) + 6
cost=(5x1.25) + 6
cost=12.25
Singing balloons:
cost=(n x 1.45) + 2
cost=(5x1.45) + 2
cost=9.25
therefore = singing balloons are cheaper.
Type a digit that makes this statement true.
2,222,6 4 is divisible by 8.
Submit
Answers
Answer:
A digit 2
Step-by-step explanation:
628/8 = 78
thus making 628 divisible by 8
Please help meeeeeee!!!!!
Answers
Answer: A
Step-by-step explanation:
This is because 25%= 25/100, and that reduces to 1/4. Also, whenever it says something OF something, it means to multiply. In this case, 1/4 OF 1000= 1/4x1000= 250.
*Even though it seems that multiplying will just make the number bigger, when you multiply with a fraction, it actually gets smaller* For example 1/3 of 3= 1/3x3= 1
Answer:
a 1/4 is equal to 25/100
Step-by-step explanation:
25/100 = 0.25
1/4 = 0.25
25*4 is equal to 100