How to determine if a linear system is consistent or inconsistent?

If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.

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

What is the ordered pair of m’ after point m (5, 6) is rotated 90° counterclockwise?