After observing this pattern, Lexie made a conjecture for the next shape in the pattern. Five squares in a row. Each square has
a segment extending from its center to a vertex of the square. In the first square, the segment extends to the top left. In the second square, the segment extends to the top right. In the third square, the segment extends to the bottom right. In the fourth square, the segment extends to the bottom left. In the fifth square, the segment extends to the top left. Which shape was most likely her conjecture for the next shape?
2 answers:
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Answer:
m = 0
Step-by-step explanation:
<u>If two lines are parallel, their slopes are equal. </u>
The slope of x - axis is 0
(why?)
because, slope of a line is given by
Θ is the angle made by the line with the x- axis.
Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.
=> Θ = 0
=> tan Θ = 0
=> slope = 0
and the line in blue is parallel to the X- axis, therefore, it's slope is also 0
(also, a line makes an angle of 0° with the line it's parallel to)
<u> </u>