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Find the measure of a line EC​
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Find the measure of a line EC​

Find the measure of a line EC​-example-1
User Tao Zhu
by
7.7k points

1 Answer

4 votes

9514 1404 393

Answer:

41

Explanation:

The product of segment lengths from the point of intersection to the circle is the same for both chords.

QC·QE = QD·QF

2x(21) = (x+4)(30)

14x = 10(x +4) . . . . . divide by 3

4x = 40 . . . . . . . . . . subtract 10x

x = 10 . . . . . . . . . . . .divide by 4

2x +21 = EC = 2(10) +21 . . . . . find EC

EC = 41

User TPete
by
8.3k points
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