The diagram shows a framework ABCD supporting a shop sign. The framework is fixed to a vertical wall AB with CD horizontal.

AC = 64 cm and CD = 80cm.

BAC = 35° t , BCA = 90° t and ACD = 125° t .

(a) Calculate AB

(b) Calculate AD
(c) Calculate ADC

What is the order of magnitude for the number of liters in a large bottle of soda served at a party

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.

M the table below represents a linear function f(x) and the equation represents a function g(x): x f(x)−1 −50 −11 3g(x)g(x) = 2x − 7part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)part b: which function has a greater y-intercept? justify your answer. (4 points)