If a tuning fork vibrates at 120 times per second, how long does it take for 1 vibration?
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Answer:
Part 4) AA Similarity Postulate
Part 5)
The congruent angles are
m<ACB=m<CED , m<ABC=m<CDE, m<BAC=m<DCE
The proportional segments are
Step-by-step explanation:
Part 4) we know that
If BC is parallel to DE
then
Triangles ABC and CDE are similar by AA Similarity Postulate ( the three interior angles are congruent)
so
m<ACB=m<CED ------> by corresponding angles
m<ABC=m<CDE -----> both angles measure is 90 degrees
m<BAC=m<DCE -----> the sum of the interior angles of a triangle must be equal to 180 degrees
If two figures are similar, then the ratio of its corresponding sides is equal
so
substitute the values
Find DE
In the triangle ABC
Applying Pythagoras Theorem
Find AC
Find CE