what is a necessary step for constructing perpendicular lines through a point on a line?

answers:

draw a line that intersects the first line at an acute angle using a straightedge.

draw a ray that intersects the first line at an acute angle using a straightedge.

draw arcs on either side of a given point on the line.

draw arcs on either side of a given point off the line.

Draw arcs on either side of a given point off the line.

Step-by-step explanation:

write necessary step for constructing perpendicular lines through a point on a line

the perpendicular line should pass through the point on the line.

the perpendicular lines intersect at right angles . 90 degree

so draw an arc on either side of the given point.

draw the arcs above an below the line. that forms a perpendicular line when we connect it .

Draw arcs on either side of a given point off the line.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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