First you make them fractions that have the same denominator. 12 can be the denominator, because 6 5/12 already has that denominator and to get 2 2/3 to have a denominator of 12, you multiply the numerator and denominator by 4 (3•4=12, but you have to do the same thing to the top and bottom of the fraction). You then have the equation
6 5/12- 2 8/12. Since you cant subtract 8/12 from 5/12, you turn the numbers into improper fractions, which would be
77/12 - 32/12. You subtract them and get 45/12. You then have to simplify it again, 12 can go into 45, 3 times and you would have 3 and 9/12. 9/12 can be simplified down to 3/4. So the answer would be 3 3/4.
<span>When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.</span>
Answer:
9 dollars and 40 cents
Step-by-step explanation:
Answer:
An apothem is a line drawn from the centerpoint of the polygon to one side of the polygon. There is a formula for area in terms of apothem:
A = (1/2)*(Perimeter)*(Apothem)
The perimeter of the regular polygon is just the length of one side multiplied with the number of sides. Since a polygon with 9 sides,
P = 9(15) = 135in
A = 1/2 ×135 × 12
A = 810 square inches ans
