The correct answer is 3.5
Two chords AC and BD are intersecting inside the circle. The Intersecting Chord Theorem states that when two chords intersect inside a circle, the products of their segments are equal.
Thus, for the given circle:
(AE) × (EC) = (BE) × (ED)
The lengths of the segments are
AE = 7
EC = 2
BE = 4
ED = ?
To solve for ED, we simply substitute the known values into the equation
Answer: 51/8 inches
Step-by-step explanation:
Since you must cut down the length of copper tubbing from 15 1/8 inches to 8 3/4 inches, the leftover piece will be:
15 1/8 - 8 3/4
Change the mixed fraction to improper fraction.
121/8 - 35/4
The LCM will be 8
( 121 - 70 )/8
51/8 or 6.375 inches
Therefore, the leftover piece will be 51/8 inches long
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