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If x = y and y = z then x = z

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what- in the figure, line p is a transversal to lines m and n.Which statement must be true?

lines m and n are parallel if x= 12 and y= 54


What is the answer of y equals x plus 8?

The answer is a pair of numbers ... one for 'x' and one for 'y' ... that makes the statement " y = x + 8 " a true statement. Any pair of numbers can be an answer, just as long as the 'y' number is 8 more than the 'x' number. So there are an infinite number of answers.


Is this statement true or false The point (20) lies on the x axis.?

There must be more information in order to be answered. Is it (2,0) or (20,0) or (0,20)? If it is (2,0), then yes, the point is on the X axis. Points are described as (x,y), so if it says (x,0) it means the point is on the x axis, and if it says (0, y) it will be on the y axis. X is how many units left or right the point is, and y is how many units up or down it is.


What is the negation of this statement x plus y equals 10?

x+y does not equal 10, which can be written x+y ~= 10 or x+y != 10.


Mathematics an example of mathematical proof?

A mathematical proof is a process that combines statements we know to be true to show something else must be true. Basically, it's just a way of saying something is true, along with why each step in the reasoning must be true. So for example, assume we know "If a<b then a+c<b+c". Makes sense right? If we add the same thing to both sides, the right side still has more. If we treat this as a fact we know, we can use it to show other statements must also be true. Now suppose we want to show that the average of two different numbers is between them in value. In other words, if x is the lesser number, then x<(x+y)/2<y. You might say "that seems like it would be true", but you might not be sure it works in every case (even strange cases). ------ This is how a proof is used. We start with something we know is true (sometimes called "given") and transform it into something else true. For example, we can start with x < y. We said x is the lesser number after all. We then know "x+x<x+y" because of our earlier reasoning "If a<b then a+c<b+c". To avoid proofs being huge, the reasoning is usually just given a name, but the same idea still holds. In this case, adding the same number to each side doesn't change the inequality. Similarly, we can show "x+y<y+y". Then we can combine these two to show x+x<x+y<y+y, which we rewrite as 2*x<x+y< 2*y. If we divide everything by 2, we get x<(x+y)/2<y, which is what we wanted to show.

Related Questions

If X Y in Y z which statement must be true?

If x y and y z, which statement is true


If figure x is inscribed in figure ywhich statement must be true?

Figure Y is circumscribed about figure XApex


What is biconditional statement?

A bi-conditional statement is one which says that if any one of two statements is true, the other is true, too. It generally takes the form, X is true if and only if Y is true, or X is equivalent to Y, where X and Y are simpler statements.


Prove that if x and y are positive integers then x square plus y square is even but not divisible by 4?

The statement cannot be proven because it is FALSE. If one of x and y is odd and the other is even then x2 + y2 MUST be odd. Also if x and y are even then x2 + y2 MUST be divisible by 4. The statement is only true if x and y are odd integers. Whether or not they are positive makes little difference.


is this statement true or falseThe intersection of the x-axis and the y-axis is called the origin.?

true


Is the statement x billion is greater than y million always sometimes or never true when the values of x and y are greater than zero?

sometimes The statement X billion is greater than Y million is sometimes true when the values of X and Y are greater than zero. It is only sometimes true because it is not true when the value of Y is more than 1,000 times greater than X, but it is true when the value of Y is less than 1,000 times greater than X.


What is the answer to y equals 2x -4?

6


In math what does the word and mean?

In mathematical logic, two statements, X and Y, are true if and only if both X as well as Y are true. So if either X or Y (or both) are false then "X and Y" is a false statement. Similarly, if some conditions, S and T, need to be satisfied by a variable then S as well as T must be satisfied.


what- in the figure, line p is a transversal to lines m and n.Which statement must be true?

lines m and n are parallel if x= 12 and y= 54


What is equation that is always true?

An identity is a statement which says two quantities are equal, like as x + y = y + x or sin (x + y ) = sin x cos y + cos x sin y .


What is the collection of all x y points that make the equation a true statement?

graph


Is this statement true or false In the equation y equals 3 over X's the constant of variation is X's?

False.