First Street and Main Street come together diagonally at a four-way intersection, as shown below. West First Street North Main Street East First Street South Main Street The measurement of the angle between West First Street and North Main Street is 30° less than the measurement of the angle between West First Street and South Main Street. What is the measurement of the angle between North Main Street and East First Street? Next Previous 122 2/12 1 gi ​

Proceed as in example 3 in section 6.1 to rewrite the given expression using a single power series whose general term involves xk. ∞ n(n − 1)cnxn − 2 n = 2 − 4 ∞ ncnxn n = 1 + ∞ cnxn n = 0

Look at this pattern ; 1,4,9, number 10000 belongs in this pattern . what’s the place of this number?

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?