Proof means sufficient evidence to establish the truth of something. It is obtained from deductive reasoning, rather than from empirical arguments. Proof must show that a statement is true in all cases, without a single exception.

Proof means sufficient evidence to establish the truth of something. It is obtained from deductive reasoning, rather than from empirical arguments. Proof must show that a statement is true in all cases, without a single exception.

the logical structure of the formulation of the CAP is on the form "p implies q", or "If p, then q". In symbols: p => q with p being the statement "l and l' are lines cut by a transversal t in such a way that two corresponding angles are congruent" and q the statement "l is parallel to l'" It's corollarys are also on this form, obviously with other p and q. Not sure… Read More

Common factors of 36 and 40 are: 1, 2, and 4.

It takes exactly ten seconds to count to ten in ten seconds.

An integer is a number, positive or negative. So 15 is an integer.

Three lines between two equations means that there is an identity present. This means that whatever numbers you put into the equation it will always equal the equation on the other side.

Yes every parallelogram has bisecting diagonals

They're both written with straight lines.

The check digit can be used to verify that the data have been transmitted correctly.

Draw a parallelogram and cut it out. Then cut from one corner to the other. You should end up with two triangles.

A cyclic set of order three, under multiplication, consists of three element, i, x, and x^2 such that x^3 = i where i is the identity. For the set to be a group it must satisfy four axioms: closure, associativity, identity and invertibility. i*i = i, i*x = x, i*x^2 = x^2,x*i = x, x*x = x^2, x*x^2 = x^3 = ix^2*i = x^2, x^2*x = x^3 = ix^2*x^2 = x^4 = x^3*x = i*x… Read More

Rectangular bases are congruent to each other. The five other faces connect those bases and are adjacent to each other and the parallel bases to each other. Congruency does not occur on the five equal side shapes. This occurs in odd face prisms. The angle created by the five faces have only partial reflection of each other where as the pentagonal bases are parallel. The reflection on the parallel sides create an optical illusion of… Read More

Probably Skin infection in the genitalia. Bacteria can built up and you get sick.

There is more than one way to prove a given mathematical proposition. If the sequence of reasoning is valid, then the proof is correct. That is all that is required.

8-(2x)=10 -(2x)=10-8 -(2x)=2 x=2/(-2) x= -1

To divide a number raised to one power by the same number raised to a nother power, you subtract the powers; eg 5 cubed divided by 5 squared is 5 to the power (3 - 2) ie 5. If you divide 5 cubed by 5 cubed then you have 5 to the power (3 - 3) ie 0, but 5 cubed divided by 5 cubed is 1 hence 5 to the power zero is one… Read More

300 = 22(3)(52) = 4(3)(25) = 4(5)(15) = 2(3)(50) = 2(6)(25) = 2(10)(15) = 2(3)(5)(10) = 2(5)(30) = 3(5)(20) = 5(6)(10)

There is no AAA theorem since it is not true. SSS is, in fact a theorem, not a postulate. It states that if the three sides of one triangle are equal in magnitude to the corresponding three sides of another triangle, then the two triangles are congruent.

An axiom is a statement that is accepted without proof. Proofs are based on statements that are already established, so therefore without axioms we would have no starting point.

no - 10 doesn't equal 1 However, could consider the so-called 'Bold Hypothesis' (introducing a new mathematical object (infinity) which equals 1/0, but otherwise behaves like a real number): 1/0=infinity, therefore 1=infinity*0 you know: 10*0=1*0 (any number *0=0) multiply each side by infinity (1/0): 10*0*infinity=1*0*infinity which is the same as: 10*(0*infinity)=1*(0*infinity) we have already said (1st line) that 1=infinity*0, therefore: 10*1=1*1 which simplifies to give: 10=1 which is impossible?!

When you multiply any number by itself, the result is always positive. You cannot take any real number and square it to get something negative. The square root of -36 is 6i.

33 divided by 1 is a division problem: it is not a property. 33 divided by 1 is a division problem: it is not a property. 33 divided by 1 is a division problem: it is not a property. 33 divided by 1 is a division problem: it is not a property.

This is a highly ambiguous question, because there are many ways to continue any finite sequence. In fact, there are infinitely many, because any number whatsoever can be the next number in some sequence. In this case, I can think of at least 2 that make sense. 32 is 28 less than 60, and 18 is 14 short of 32. So first they subtract 28, then 14, which is half of 28. If u continue… Read More

The Converse of the Isosceles Triangle Theorem states that if the base angles of an isosceles triangle are congruent, then you also know that the legs of the triangle are congruent too.

In bullet proof vest skin ofRhinocerosis used.

Many countries or regions (eg USA and Eurozone) use cents as the minor denomination for their currency. Similarly, there are very many countries that use fils. Without any information about the countries in question, it is impossible to answer the question.

Yes, it is possible to prove that the square root of three is irrational using contradiction. Let m and n be integers, where n is not equal to zero Assume theâˆš3 is rational and m/n is in it's simplest form (greatest common factor = 1) âˆš3 = m/n 3 = m2/n2 3n2 = m2 From this, m2 must be divisible by 3, therefore m must be divisible by 3 Let m=3k, where k is some… Read More

To maximize profits a firm need not sell the output at the highest price. As a matter of fact in most cases trying to increase the price will result in a loss. hope that helps :-)

For this type of question the diagram that is with the question is needed to provide you an answer.

U don't, because it isn't true. Draw a trapezoid. Now lengthen the base and the other parallel edge by any amount u want (the same amount, of course). U now still have a trapezoid, but the base is longer and the sides are the same as they were before.

Iteration is a process where you use your previously obtained answers in your next equation. Consider the equation x_(n+1)=x_(n)+4. Where n is an arbitrary non negative integer. We must be given an original x_0 say x_0=1 here. Then x_1=x_0+4=5 x_2=x_1+4=9 x_3=x_2+4=13 and so on....

Stewart's theorem concerns the relationship between the lengths of a triangle's sides and a cevian. A cevian is a straight line from a vertex to the opposite side. Suppose you have a triangle whose sides are of length x, y and z. Suppose the cevian, of length a, divides the side of length x into segments of lengths p and q (with p nearer to y and q nearer to z.Then, according to Stewart's theorem,y^2*q… Read More

80, 120, 160 There are an infinite number of them. The smallest one is 40.

You can prove that 2K,2K,1-1 by first determining that the integer N can be written in the form of N=2K.

A vertex cover of a graph is a set of vertecies where every edge connects to at least one vertex in the set. As a concrete example, a student club where if any two students are friends, then at least one is in the club. Suppose the school has three students, A, B, and C. A and B are friends and A and C are friends, but B and C are not friends. One obvious… Read More

0. There are 9 multiples of 10 between 1 and 99, so 99 factorial is divisible by at least the 9th power of 10. Therefore the last 9 digits are 0.

It must be a set It must have two operations (usually called addition and multiplication) Additive and multiplicative identities must exist The inverses of these operations must exist for all elements of the set (except for 0 (additive identity) with multiplication) The set must be closed under these operations Both operations must be commutative, associative, and distributive with one another.

The paper is bound by the visible universe, so it should be seen that this question begins with an improper premise. The visible universe is but a tiny portion of a percentage of the entire universe; and so a more pointed question might be aimed at how we view it.

It means to read very quickly. It requires the reader to be able to pick up key words or phrases so that they get the message without reading the full text.

I think you mean e to the (- infinity) power. The proof would be a limit proof. The limit (as n-->infinity) of [( en) ] = 0 You should have some other limits in class that you have proven. Show that your limit is less than one of those given for all values of n then you have your proof. For instance, if you already know that lim (as n-->infinity) of [(1/n) ] = 0… Read More

Water is water, doesn't matter where it comes from. The fluid that has water and lots of other stuff in the blood is plasma.

Once you familiarize yourself with the basic axioms and theorems of geometry, you will be able to see how they apply to the proof of any particular problem that you may be working on.

1. Given any line, there are at least two points on the line. Call them A and B. 2. Given any line, there exists at least one point in the plane that is not on the line. Call that point C. 3. Given any two points (A and C and, then B and C) there exists a straight line joining them. The point C is not on AB so AB and AC are distinct. Similarly… Read More

The answer depends on what "the carbbian" is and also on what "dgres" means. Since neither of those words exist, it is not possible to give a meaningful answer to the question. You may wish to consider using a spell-checker before posting your questions.

It matters on when their scored go down

No, because postulates are assumptions. Some true, some not. Proving a Theorem requires facts in a logical order to do so.

why are you asking solve it yourself

You try to, if a theorem is proven it becomes a law, however it is a long and painstaking process, if what all my science and math teachers tell me is true.

It is helpful (not help full) because the two triangles formed by either diagonal are congruent.

Is the following what you are claiming? 2k = 2k+1 -1 20 not equal 20+1 - 1 21 not equal 21+1 -1

The answer depends on the situation. In baseball, when the catcher signals the pitcher with finger signals, he is concealing his communication from the other team. That is not unethical. Without such justification, the answer seems to be yes.

1, for this and all Sundays. That is the Excel code for Sunday.

How do I divide 36 by 2.5? Well, there are a few ways I might go about doing it. Method 1: The Easy Way. 1. Open a new tab in your browser. 2. Go to google.com. 3. Type in: 36/2.5 4. QED. Method 2: The Hard Way. Two-point-five goes into 36 the same number of times as 25 goes into 360 and 25 goes into 36 1 time, with remainder 11, and 25 goes into… Read More

The statements that you offer as examples of false proofs are actually not false proofs, they are merely false assertions. You have not offered any line of reasoning. You would have to explain why 1 equals two, or all triangles are isosceles, in order to have a false proof. Here is a recent example of a false proof. Last month, in April 2013, the continent of North America experienced colder weather than the average for… Read More

Ace gil norst...that is the cypher (cipher) cracked from the word croatoan, which was engraved in a tree when John White came back from England to his colony. The key word for this cracked version of the cypher is "England". I suggest using the key word, "Help" or "Danger" for the next time you crack this word everyone wants to know of. Other key words could be names of the people there, or "John White"… Read More

If the angles are congruent, they will be less than 360 degrees.

I do not know the downloding percentage or even the downloading percentage.

The related link below is the best I could find on BLUE statitics. Blue means Best Linear Unbiased Estimator

If u are paying family feud the answers are: prices service convenient location better gas

I can give you an example and prove it: eg. take the rational no. 2......hence its additive inverse ie. its opposite no. will be -2 now lets add: =(2)+(-2) =2-2 =0 it means that the opposite no.s. get cancelled and give the answer 0 this is the same case for sum of a rational no. and its opposite no. to be ZERO

When you arrange a set of numbers and asked to put them from least to greatest, it means you have to put the smallest number first, then the second smallest, etc. if you were given 8, 34, 1, 17, 22, 12, and 3 least to greatest would look like: 1, 3, 8, 12, 17, 22, 34

9! = 9Ã—8Ã—7Ã—6Ã—5Ã—4Ã—3Ã—2 Separate each of the above factors into prime and non-prime: Prime 2 3 5 7 Non-prime 4 6 8 9 Perform a prime factorization of each of the non-prime factors: 4 = 22 6 = 3Ã—2 8 = 23 9 = 32 Rewrite the number using these prime factorizations: 9! = 32 Ã— 23 Ã— 7 Ã— (3Ã—2) Ã— 5 Ã— 22 Ã— 3 Ã— 2 Group: 9! = 7 Ã— 5… Read More

Jagadguru Shankaracharya Shri Bharati Krishna Tirthaji Maharaja is 2the father of vedic maths

Tau is a letter of the Greek alphabet and without a "U" it would be Ta, which is meaningless. However, the letter "U" does not, of itself, have a meaning.

The question refers to the "following". In such circumstances would it be too much to expect that you make sure that there is something that is following?

It means that you have so many choices to go by.

There cannot be such a postulate because it is not true. Consider a line segment AB and let C be any point on the line between A and B. If the three points are A, B and C, there can be no circle that goes through them. It is so easy to show that the postulate is false that no mathematician would want his (they were mostly male) name associated with such nonsense. Well, if… Read More

Yes, as shown by this example: S={*} G=(S,*) *:S X S-->S *(*,*)=* However, I could not find any nontrivial examples.

Because in a right angle triangle the square of its hypotenuse is always equal to the sum of each side squared.

percentage = 2.7% % rate: = 27/1000 * 100% = 27/10 = 2.7%

approximately 2 ft diameter by 4 ft height, Its volume must be slightly more than 100 gallons to allow expansion in hot weather and room for vapor.

This cannot be proven, because it is not generally true. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. And conversely, the diagonals of any parallelogram bisect each other. However not every parallelogram is a rhombus. However, if the diagonals are perpendicular bisectors, then we have a rhombus. Consider quadrilateral ABCD, with diagonals intersecting at X, where AC and BD are perpendicular; AX=XC; BX=XD. Then angles AXB, BXC, CXD, DXA… Read More

The statement cannot be proved because it is not true. As a counter example, consider a parallelogram which is not a rhombus. Its diagonals do bisect each other but, by definition, it is not a rhombus.

Not really. If it were a sound proof, it would be quickly published in any number of mathematical journals, not first on Answers.com. However, if you have a subtly flawed proof that purports to solve this ancient question, it might be entertaining as an exercise in proof analysis.

50$ at a flea market,100$ at a antique show,200$ at a antique shop,

Not possible to answer - a litre is a measurement of volume, while a kilogram is a measurement of weight !

Similar - AA (Apex)

Wrong answer above. A limit is not the same thing as a limit point. A limit of a sequence is a limit point but not vice versa. Every bounded sequence does have at least one limit point. This is one of the versions of the Bolzano-Weierstrass theorem for sequences. The sequence {(-1)^n} actually has two limit points, -1 and 1, but no limit.

this is the increasing function theorem, hope it helps "If F'(x) >= 0 , and all x's are and element of [a,b], Then F is increasing on [a,b]" use Mean Value Theorem (M.V.T) Let F'(x)>=0 on some interval Let x1< x2 (points from that interval) by M.V.T there is a point C which is an element of [x1,x2] such that F(x2)-F(x1) / X2- X1 = F'(C) this implies: F(x2)-F(x1) = F'(C) X [x2-x1] F'(C)>=0 [x2-x1]>0… Read More

The non-connected graph on n vertices with the most edges is a complete graph on n-1 vertices and one isolated vertex. So you must have one more than (n-1)n/2 edges to guarantee connectedness. It is easy to see that the extremal graph must be the union of two disjoint cliques (complete graphs). (Proof:In a non-connected graph with parts that are not cliques, add edges to each part until all are cliques. You will not have… Read More

A number is divisible by 6 if it is divisible both by 2 and 3 1240 is even then is divisible by 2 1+2+4+0 = 7 which is not divisible by 3 then 1240 is not divisible by 3 Thus 1240 is not divisible by 6

The Answers community requires more information for this question. Please edit your question to include more context. The answer will depend on 17.00 in WHICH currency!