### Geometry Proof : Isosceles Triangle and Bisector

ABC is an isosceles triangle. M is the midpoint of side BC. E is a point on AC. The (angle) bisector of angle ABE intersects AM at F. What is EF? Prove your Conjecture.

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# 18, # 24, # 42

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This is a intermediate algebra problem using a triangle to find the length of the side marked x. Please see attached problem.

(See attached file for full problem description) --- The question is =========== Let S_(n,0), S_(n,1), and S_(n,2) represent the sums of every third element in the nth row of Pascal's Triangle beginning on the left. For example: Row 5: 1 5 10 10 5 1 So, S_(5,0) = 1 + 10 = 11 S_(5,1) = 5 + 5 = 10 S_(5,2) =

See attached pdf file for problem and diagram regarding angles.