if two lines in the same plane are parallel to a third line,then they are parallel to each othr?
610338
Parallel is parallel.....it's like being a 'little' pregnant....either you ARE or you are NOT.\n\nYes, they are parallel to the 3rd line.
283524
For the benefit of all the folks who answered, question a), since (2,-1,0) is not ON the x-axis, a line through it can be parallel to the x-axis.  Equations of lines in 3-space are VECTOR equations with a simple form (kind of like slope and intercept): we need a point the line passes through -- (2,-1,0) -- and a direction to go -- parallel to the x-axis.  So any point on this line, P(x,y,z)= (2,-1,0)+m(1,0,0).\n\nFor b), you need dot product divided by product of magnitudes equal to cosine of angle.  So\n(x,2,4) dot (1,0,1)/[sqrt(x^2+2^2+4^2)*sqrt(1^2+0^2+1^2)=sqrt(2)/2\n(x+4)/[sqrt(x^2+20)*sqrt(2)=sqrt(2)/2....cross multiply\n2(x+4)=2*sqrt(x^2+20)\n(x+4)=sqrt(x^2+20)............square both sides\nx^2+8x+16=x^2+20\n8x=4\nx=1/2
493884
In any quadrilateral the sum of the angles is 360 degrees.  Its an axiom that has been proven.  It's similar to the axiom that all angles in a triangle add up to 180.\n\nNote: the pattern is:\n3 angles = 180\n4 angles = 360\n5 angles = 540\n6 angles = 720\n7 angles = 900\netc.\n\nAnother fact about parallelograms is that the opposite sides have the same lengths and the opposite angles have the same measure.  This also means that two consecutive angles will add up to 180 (since the other pair must be equal and the total must be 360, as noted before).
1152477
When A and B are parallel or anti-parallel, that is when A=c B,\nwhere c is a constant.
838330
Both equations are in slope-intercept form (y = mx + b).\n\nIn your case, both lines have the same slope (-2/3) but different y-intercepts (+1 for the first, -4 for the second).  Lines with the same slope but different y-intercepts are PARALLEL.\n\n(Note: if you got slopes that were the same and the intercepts were the same, the lines would be coincident -- the same line.  If the slopes were negative inverses, e.g. 2/3 and -3/2, then they would be perpendicular.  And if the slopes were completely different the lines would be skew.)
939976
You begin with two separate equations, one for each line:\n\ny = m*x + b\ny =  n*x + c\n\nBy definition, when the lines intersect, they are at the same point.  Call this point (x1, y1).  At that single point, the two equations are:\n\ny1 = m*x1 + b\ny1 = n*x1  + c\n\nNow you solve these two. The obvious first step is that since y1 = y1:\n\nm*x1 + b = n*x1 + c\n\nRearrange to get x1 on one side and the rest on the other side:\n\nm*x1 - n*x1 = c - b\n\nx1*(m - n)  = c - b\n\nx1 = (c - b)/(m - n)\n\nYou can put this value for x1 back into one of the equations: \n\ny1 = m * ((c - b)/(m - n)) + b\n\nThis is the general solution for any pair of lines.  You might notice that when m = n, there is no solution.  SInce m and n are the slopes of the lines, when the slopes are equal, the lines are parallel and do not intersect.
903948
find the slopes of both lines and if there answers are opposite recipricals, then they are parrallel\n\nheres adn ex:\nslope = 2 and -1/2\n\nin other workds, if you multiply the two slopes, u should get -1
495996
Neither.\nIf lines are parallel, their slopes are the same. (Slope = (Y2 - Y1)/(X2 - X1); Rise over run) \nIf lines are perpendicular they're the negative reciprocals of each other. (Negative reciprocal means one over the slope times -1). Slope 1 = 37/5; so slope 2 should be -5/37 to be perpendicular, but it's -1/2.\n\nHope that helped.\n;]
965470
The answer is neither. If they are parallel they must have the same slope and if they are perpendicular the slopes cannot have the same sign. The slopes of the lines are both negative and unequal.\n\nfind the slopes of both lines.\n\n5x+2y =3\ny = (3-5x)/2 = -5x/2 +3/2\nslope 1 = -5/2\n\n2x+5y =8\ny= (8-2x)/5 = -2x/5 + 8/5\nslope 2 = -2/5
291453
It shifts it.  If y = mx + b, b is the y-intercept (where the graph crosses the y-axis), and changing b would move the entire line up or down along the y axis.\n\nTry graphing these two lines by plotting points\n\ny = x\ny = x+3\n\nSee how the lines are parallel, but one is slightly higher than the other?
751380
Since we're reflecting along a line parallel to the X-axis, the X coordinates of these points doesn't change.\n\nNew_Ay = Old_Ay + (4 - Old_Ay) * 2 = 3 + (4 - 3) * 2 = 5\nNew_By = Old_By + (4 - Old_By) * 2 = 5 + (4 - 5) * 2 = 3\nNew_Cy = Old_Cy + (4 - Old_Cy) * 2 = 6 + (4 - 6) * 2 = 2\n\nA = (2,5)\nB = (0,3)\nC = (5,2)
446491
<br><br> 2 lines \n<p> </p> a para
131590
The answer to the question depends on exactly what kind of geometry you are dealing with and what "points" and "lines" mean. \nIf you are talking about ordinary lines and ordinary geometry, then parallel lines do not meet. For example, the line x=1 and the line x=2 do not meet at any point, since the x coordinate of a point cannot be both 1 and 2 at the same time. \n\nIn this context, there is no such thing as "infinity" and parallel lines do not meet. \n\nHowever, you can construct other forms of geometry, so-called non-Euclidean geometries. For example, you can take the usual points of the plane and attach to them an additional point called "infinity" and consider all lines to also include this additional point. In this context, there is a single "infinity" location where all lines meet. In a geometry like this, all lines intersect at infinity, in addition to any finite point where they might happen to meet. \n\nOr, you could attach not just one additional point, but a whole collection of additional points, one for each direction. Then you can consider two parallel lines to meet at the extra point corresponding to their common direction, whereas two non-parellel lines do not intersect at infinity but intersect only at the usual finite intersection point. This is called projective geometry
759458
parallel means the slopes will be the same, so our new line can me found using the point-slope formula:\n\ny - y1 = m(x - x1)\ny - (-4) = (1/2)(x - 2)\ny + 4 = (1/2)x - 1\ny = (1/2)x - 5
520992
Both are horizontal lines and are parallel to each other. Tis means they have the same slope which is O.\n\ntosmith
661088
If the sides are parallel then these angles will be equal.
647980
it would be N+1\n\nBecause a line splits the cirlce in two, two lines in three, etc.