What is the answer to the fraction 6 5/8-4 2/9
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
Consider triangles BKE and DKA. In this triangles:
as vertical angles;
as alternate interior angles (lines BC and AD are parallel and BC is a transversal);
as alternate interior angles (lines BC and AD are parallel and BE is a transversal).
Thus triangles BKE and DKA are similar by AA theorem. Similar triangles have proportional sides lengths:
Thus,
Since AD=BC and BC=BE+CE, we have that 4BE=BE+EC, EC=3BE. Hence, the ratio BE to EC is
