Abag contains 6 blue balls, 3 green balls and 3 yellow balls. what is the probability of choosing one blue ball and then a yellow ball with replacement?

If value of cos330° is √3/2 then find tan165°.

Solve the following pair of equations for x and y: ax/b_ by /a= a +b; ax - by = 2ab

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap