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OpenStudy (anonymous):
In the diagram, diameter AC intersects chord BD at point E such that AE = 2.5 units and BE = 3.4 units. Point O is the center of the circle, and the radius of the circle is 5 units. What is the approximate length of DE?
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OpenStudy (anonymous):
5.5 units 4.5 units 6.0 units 5.0 units
OpenStudy (anonymous):
Since OC is a radius and is 5, AO is also a radius and is also 5. Since AE is 2.5, then OE is also 2.5.
OpenStudy (anonymous):
right
OpenStudy (anonymous):
3.4x = 2.5 * 7.5 Solve for x
OpenStudy (anonymous):
x = DE = (2.5 * 7.5)/3.4 = approx 5.5 units
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OpenStudy (anonymous):
thank you
OpenStudy (anonymous):
np need any more help
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