Consider the function f(x)=0.5x−cos(x)+2 on the interval 0≤x≤1. the intermediate value theorem guarantees that there is a value c such that f(c)=k for which values of c and k? fill in the following mathematical statements, giving an interval with non-zero length in each case

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