In the diagram shown below, points K, L, and M are collinear. The diagram is not drawn to scale. (a) Determine the value of x if KL = 4x-2, LM =x+18, and KM = 7x+4. (b) Using your value of x from part (a), determine if L is the midpoint of KM . Justify your answer.

Write an equation of the line that passes through 9,2 and is parallel to the line y=5/3x+9

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?

Find the values of the variables and the lengths of the sides of this kite.