ΔABC is an isosceles right triangle. Use the isosceles triangle base angles theorem and the sum of the interior angles of a triangle to determine the measures of ∠ACB and ∠ABC. answers : ∠ACB = 45° and ∠ABC = 90° ∠ACB = 45° and ∠ABC = 45° ∠ACB = 90° and ∠ABC = 90° ∠ACB = 90° and ∠ABC = 45°

Which system of linear inequalities is represented by the graph? + l tv x-3y > 6 and y > 2x o x + 3y > 6 and y o x-3y > 6 and y> 2x o x + 3y > 6 and y > 2x + 4 la +

Onnie is considering doing some long term investing with money that she inherited. she would like to have $50,000 at the end of 30 years. approximately how much money would lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal?

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.