Which of the following are among the basic postulates of Euclidean Geometry?
A) Any straight line segment can be extended indefinitely.
B) All right triangles are equal.
C) A straight line segment can be drawn between any two points.
D) All right angles are equal.
Answers
Any straight line segment can be extended indefinitely and straight line segment can be drawn between any two points can apply. Therefore, options A and D are the correct answers.
What is Euclidean geometry?"Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid"
As per the five basic postulates of Euclidean geometry
A straight line can be drawn from any point to another point.
A terminated line can be further produced indefinitely.
A circle can be drawn with any Centre and any radius.
All right angles are equal to one another.
If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles , then the two lines inevitably must intersect each other on that side if extended far enough.
Therefore, options A and D are the correct answers.
To learn more about Euclidean Geometry here:
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Related Questions
I need help Please!! ●NO LINKS!●
Answers
Answer:
125+1-12=114
Step-by-step explanation:
[tex]5^{3}[/tex] = 5×5×5 = 25×5 = 125
[tex](4-3)^{2}=(1)^{2}=1[/tex]
-2×6 = -12
Answer:
5×5×5=125 4×4=16 3×3=9
125+ 16-9-2×6
125+7-2 ×6
125+ 5×6
125+30
155
Use the drawing tools to form the correct answer on the graph. Graph this function. f(x) = -1/3x + 8.
No image provided. It's a standard 10 by 10 graph on edmentum.
Answers
Answer:
Rewrite the function as an equation.y=−x/ 3+ 8
y=-x3+8
Rewrite in slope-intercept form. y = −1/3x+8. Use the slope-intercept form to find the slopeand y-intercept. Slope: −1/3 intercept: (0,8)(0,8) Find the values of mm and bb using the form y=mx+b
Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values. Graph the line using the slope and the y-intercept, or the points.Slope: −1/3
y-intercept: (0,8)
what are the angles ?????
Answers
Answer:
i don't know any of it so sorry
step by step explanation
Which statement is true about using simulation to compare two populations?
A. One trial of a simulation is usually sufficient for drawing conclusions.
B. The experimental probability must equal the theoretical probability.
C. Simulations can only be used if a population is uniformly distributed.
D. It is possible to observe how probability works with real items.
Answers
Answer:
B. The experimental probability must equal the theoretical probability.
Step-by-step explanation:
Helppppppppppppppppppppppppp
Answers
Let us first put what we see in the image into words
--> 3 of the p-values equals 1/2
Now let us put that in an equation
--> [tex]3p = \frac{1}{2}[/tex]
Hope that helps!
6x+9(-5x-3) combining like terms
Answers
6x + 9(-5x-3) = 6x + 9*(-5x) + 9*(-3) = 6x -45x - 27 = -39x - 27
Hope that helps!
I think the question should be as follow:
➙ 6x + 9 - ( 5x - 3 )
➙ 6x + 9 - 5 x + 3
➙ 6x - 5x + 9 + 3
➙ x + 12
➙ x = -12
Anyways I've also solved according to the provided question:
ㅤㅤㅤ➙ 6x + 9 (-5x - 3 )
ㅤㅤㅤ➙ 6x - 45x - 27
ㅤㅤㅤ➙ - 39 x - 27
Further, we can solve for x ;
ㅤㅤㅤ➙ - 39 x - 27 = 0
ㅤㅤㅤ➙ - 39 x = 0 + 27
ㅤㅤㅤ➙ x = - 27 / 39
➲ More information:
Terms that have same identical variables, and same exponents parts are called like terms. To simplify these terms, you use addition and subtraction by combining the ' like terms '
Please Help me with this Question
ASAP this is due in 10 mins.
Answers
Answer: Will need 7 week of time to afford a car worth 1932
Step-by-step explanation:
Missing information : car is worth 1932
Will works 7 hours day, 6 days a week.
=> Number of hours worked in a week = 7 * 6 = 42 hrs
paid 9.20 an hour
=> will Weekly payment = 42 *9.2 = 386.4
will : mum = 5:2.
=> Will share = (5/7) * 386.4 = 276
car is worth 1932
Number of Weeks taken by will to afford a car = 1932/276 = 7
divide 40 into ratio of 5:2
The ratio of monthly income to the saving of a family is 5:2.
What is the value of t?
Answers
Answer:
I messed up. Please delete this 'answer'
Step-by-step explanation:
first column only, please explain how you got the answer so i can know
Answers
Answer:
So,
We know
Relative Frequency= F/N
Then,
N= Total Frequency
F= Repeated Number
Using this You can Find your answer.
If more confused, then ask help with your Mathematics Teacher.
can someone help me with this please
Answers
Answer:
D
Step-by-step explanation:
16 1/3 × 4 2/3
=16 × 4 + 1/3 × 2/3
=64 + 2/9
=64 2/9
find the value of x.
Answers
Answer:
x = 5
Step-by-step explanation:
Two secants have equal ratios when (in this case) they are split up as
AB * AC = AD*AE
Givens
AB = x-2
AC = (x - 2 + x+ 4) = 2x + 2
AD = 4
AE = 5 + 4 = 9
Substitute and solution
(x - 2) (2x + 2) = 4 (9) Expand the left, Combine the right
2(x^2 - x - 2) = 36 Divide both sides by 2
x^2 - x - 2 = 18 Subtract 18 from both sides
x^2 - x - 2 - 18 = 18 - 18 Combine
x^2 - x - 20 = 0 This factors
(x - 5)(x + 4) = 0 Only one of these factors works
x - 5 = 0 Add 5 to both sides.
x = 5
help make me do it now ok
Answers
Answer:
44°
.
......
...............
The vertices of a rectangle are Q ( − 1,1 ) , R ( 5,1 ) , S ( 5, − 3 ) , and T ( − 1, − 3 ). What is the point where the diagonals intersect?
Answers
Answer: (2, -1)
Step-by-step explanation:
PLEASE HELP!!
Select the correct answer from the drop-down menu. Fill in the missing number in the equation.
Answers
Answer:
8
Step-by-step explanation:
a A + b A where A is a matrix and a and b are scalars
(a+b) A
Members of a parenting organization want to use a two-sample t test to determine whether the average tuition for private schools in their state is significantly different for high school students than for elementary students. They plan to take tuition estimates from random samples of 10 schools serving each level.
Which of the following are conditions for this type of test?
A. Only sample from schools that include both elementary and high school.
B. The tuition estimates in each group are approximately symmetric with no outliers.
C. There are approximately equal numbers of private elementary schools and high schools in the state.
Answers
The conditions for this type of test is that The tuition estimates in each group are approximately symmetric with no outliers.
What are outliers?These are the values in a statistical research that lies in positions that are way off from the values used in the data set.
There would be no outliers used here because all of the tuition estimates would be closely related for the schools.
Read more on outliers here:https://brainly.com/question/3631910
The sum of three consecutive numbers is 18. Find the smallest number :-
Answers
Answer:
The numbers are 5, 6, and 7. The smallest number is 5.Step-by-step explanation:
Given :-The sum of three consecutive numbers is 18.To Find :-The smallest number.Solution :-➊ To find the smallest number, let us consider the three consecutive numbers be x, x + 1, and x + 2.
Given :
Sum of the numbers = 18.Numbers = x, x + 1, and x + 2.According to the question,
↦ x + x + 1 + x + 2 = 18
↦ 3x + 3 = 18
↦ 3x = 18 - 3
↦ 3x = 15
↦ x = 15/3
➦ x = 5
∴ Hence, the required value of x is 5.
➋ Now we have the value of x. So, by putting the value of x in the assumed numbers we will find out the numbers and then check which is the smallest number.
➲ First number = x = 5.
➲ Second number = x + 1 = 5 + 1 = 6.
➲ Third number = x + 2 = 5 + 2 = 7.
∴ Hence, the smallest number is 5.
✻ Verification ✻
↦ x + x + 1 + x + 2 = 18
Putting x = 5 we get,
↦ 5 + 5 + 1 + 5 + 2 = 18
↦ 5 + 6 + 7 = 18
↦ 18 = 18
➦ LHS = RHS
∴ Hence, Verified ✔
A rectangle has an area of (4x2 + 10) square inches. The length of the rectangle is (2x2 + 5) inches.
How many inches is the width of the rectangle?
Answers
Answer:
Area of the rectangle = 4x^2+8x = 4x(x+2)
So if the length is (x+2), the width of the rectangle = 4x(x+2)/ (x+2) = 4x.
The length is > the width, so
x+2 > 4x, or
2 > 3x, or
(2/3) > x or
x < (2/3).
Say x = 5/9 which is < 2/3, the length = 2 + 5/9 or 23/9 and the width =20/9, which is logical.
Round to the nearest degree
Answers
Answer:
99°
Step-by-step explanation:
180-(63+8) = 99°...........
Find the equation of a line that passes through the point (3,-1) and has a gradient of 1 /3 . Leave your answer in the form y = m x + c
Answers
Answer:
The answer is Find the equation of a line that passes through the point (-5,-1) and has a gradient of −1/2. Leave your answer in the form y=mx+c
Step-by-step explanation:
Find the equation of a line that passes through the point (-5,-1) and has a gradient of −1/2. Leave your answer in the form y=mx+c
2. Here is a true statement: -8.7 <-8.4. Select all of the statements that are equivalent
to -8.7 < -8.4.
A. -8.7 is further to the right on the number line than -8.4.
B.-8.7 is further to the left on the number line than -8.4.
C.-8.7 is less than -8.4.
D.-8.7 is greater than -8.4.
E.-8.4 is less than -8.7.
F.-8.4 is greater than -8.7.
Answers
Answer:
B,C,F
Step-by-step explanation:
hope this is right
How many like terms are in the expression? 14 x minus 14 y + 7 minus x + z + 2 x 0 2 3 5ement best describes Japan’s economy under military rule? The economy improved because the country expanded their military power. The economy struggled because the military spent money to increase its power. The economy improved because the military gave people jobs during the depression. The economy struggled because people joined the military rather than working other jobs.
Answers
Answer:
14x - 14y + 7 - x + z + 2x
There are three like terms in this expression, I made them bold for you.
Like terms are terms that have the same variable and power.
Mr. Stewart gives his students 3 straws that measure 10 inches, 12 inches and 18 inches. Ryan says that there is only one unique way to arrange the straws to form a triangle. Marcy says there are many ways to arrange the straws to form a triangle. Which student is correct? Explain.
Answers
Answer:
Marcy is correct
Step-by-step explanation:
If you had 3 straws that were the SAME length then there would only be 1 possible way to arrange them because no matter what order you put them in to form a triangle the outcome would always be the same because all 3 straws are the same length.
Since there are different lengths of straws, there are 3 possible ways you can arrange them so basically, there are multiple ways you can arrange the straws to make a triangle.
Marcy is correct.
Ryan is wrong.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS
Answers
Answer:
The angle CAD is 60° (As seen on the markings of the protractor.) and any angle that is less then 90° is acute. So this is an acute angle.
Angelina‘s family owns a mini golf course. When discussing the business with the customer, she explains there’s a relationship between the number of visitors and hole-in-one winners. If X is the number of visitors and why is the number of winners, which conclusion is correct?
(-2,7) is non viable
(0,7) is viable
(17,3) is viable
(20,5) is non viable
Answers
Considering a proportional relationship for the situation, the correct conclusion is given as follows:
(17,3) is viable.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality.
In this problem, since there is a proportional relationship, it has to have point (0,0), hence the viable points are (-2,7), (17,3) and (20,5), and the correct conclusion is:
(17,3) is viable.
More can be learned about proportional relationships at https://brainly.com/question/10424180
Answer:
its 17,3 I'm pretty sure
Step-by-step explanation:
What is the measure of the largest angle having sides of length 215, 309 and 278? WILL MARK BRAINLIEST. PLEASE HELP
Answers
Answer:
Angle B is 76.44°
Step-by-step explanation:
Owen earned a total of $64 last week. He earned $46 doing yard work for
a neighbor and x dollars for painting their fence. Which equation can be
used to find the amount Owen earned from painting his neighbor's fence?
A. 46 − x = 64
B. 46 + x = 64
C. 46 + 64 = x
D. 18 + x = 64
Answers
a neighbor and x dollars for painting their fence. Which equation can be
used to find the amount Owen earned from painting his neighbor's fence?
D. 18 + x = 64
Answer: B
Step-by-step explanation:
I need help with numbers 12 and 13. Pls help I really appreciate it. The instructions are to fill in the missing term to make a perfect square trinomial BRAINLY FOR THE CORRECT ANSWER !!!!!!!!!!!!!!!!! 10 POINTS!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~
81x² + _______ + 49 =
( 9x )² + _______ + 7² =
( 9x )² + 2 ( 9x )( 7 ) + 7² =
( 9x )² + 126x + 7² = ( 9x + 7 )²
-------------------
9b² - _______ + 36 =
( 3b )² - _______ + 6² =
( 3b )² - 2( 3b )( 6 ) + 6² =
( 3b )² - 36b + 6² = ( 3b - 6 )²
Adult tickets cost 12$, but kids tickets cost just 8$. If a group of 13 people pay for tickets for this adventure park, and they pay $124, how many kids must be in that group
Answers
Step-by-step explanation:
There are x kids in the group
So, adults are 13-x people
(13-x)(12) + x(8) = 124
156 - 12x + 8x = 124
156 - 124 = 4x
4x = 32
x = 8
There are 8 kids in that group.
Edgar is a real estate agent. He earns a 5% commission for every house he sells. Last month Edgar sold three homes. He sold one for $110,000, another for $65,000 and a third house for $78,000. How much did Edgar receive in commission by selling these three homes?
Answers
Summing up all the amount in commission made from the three sales we have
= 5500+3250+3900
=$12,650
Percentage of AmountGiven Data
Commission Rate = 5%Amount made from $110,000= 5/100*$110,000
= 0.05*$110,000
= $5500
Amount made from $65,000= 5/100*$65,000
= 0.05*$65,000
= $3250
Amount made from $78,000= 5/100*$78,000
= 0.05*$78,000
= $3900
Learn more about percentages here:
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please help i don’t understand
Answers
Answer:
b
Step-by-step explanation: