X=hours of plan A
y=hours of plan B
wed: 5x+6y=12
thu: 3x+2y=6
so
5x+6y=12 and
3x+2y=6
we can eliminate y's by multiplying 2nd equation by -3 and adding to first equation
-9x-6y=-18
<u>5x+6y=12 +</u>
-4x+0y=-6
-4x=-6
divid both sides by -4
x=-6/-4
x=3/2
x=1.5
sub back
3x+2y=6
3(1.5)+2y=6
4.5+2y=6
2y=1.5
y=0.75
Plan A=1.5 hours
Plan B=0.75 hours
By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
<h3>
So, the solution is x = 1 and y = 4 {or: (1, 4)}</h3>
Answer:
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles. The adjacent angles are the angles which have a common vertex.
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.
<h3>What are the Euclidean Postulates?</h3>
The five Euclidean Postulates 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.
The truth statements relating to the attached pictures and their equivalent Euclidean Axiom are;
a) 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. (Postulate 4);
b) 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. (Postulate 3)
c) The swords held by the fighters can be extended into infinity because they are straight lines (Postulate 5)
Read more about Euclidean postulate at; brainly.com/question/17304015
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