In the figure below, p || q and r || s. Using the figure for the following questions, select the best answers from the choices provided.

If m∠10 = 45, what is the measure of ∠6?

A. 45°

B. 55°

C. 135°

D. 155°

Angle 10 and 16 are vertical angles which mean they are the same so angle 16 would also be 45 degrees.

Since lines P and q are parallel, angle 6 would be the same as angle 16

Angle 6 = 45 degrees

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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