Captain William has a ship, the H. M.S Crimson Lynx. The ship is five furlongs from the dread pirate Emily and
her merciless band of thieves.
of hitting the pirate ship. If his ship has
If his ship hasn't already been hit, Captain William has probability
been hit, Captain William will always miss.
of hitting the Captain's ship. If her ship
If her ship hasn't already been hit, dread pirate Emily has probability
has been hit, dread pirate Emily will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the
Captain hits the pirate ship, but the pirate misses?

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)