What is the slope of the line that contains the points (-2, 7) and (2,3)
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The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus 
. A whole side of the triangle is 
. Multiply that by 3 to get the perimeter of <span>
.</span>
<h3><u>The system of linear inequalities to model the situation are:</u></h3>
<em><u>Solution:</u></em>
Let "x" be the time spent in dog walking job
Let "y" be the time spent in car wash attendant
Given that,
<em><u>You can work at most 20 hours next week</u></em>
"at most" means "less than or equal to" 20
Therefore,
Also given that,
Your dog- walking job pays $7.50 per hour
Your job as a car wash attendant pays $6 per hour
<em><u>You need to earn at least $92 to cover you weekly expenses</u></em>
"at least" means "greater than or equal to" 92
Thus, a inequality is framed as:
Thus eqn 1 and eqn 2 is the system of linear inequalities to model the situation