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Mathematics 12 Online
OpenStudy (anonymous):

4. In the figure, what is the value of z?

OpenStudy (anonymous):

2.9 5.6 6 8.75

OpenStudy (jdoe0001):

|dw:1401659060966:dw|

OpenStudy (anonymous):

I got 8.75

OpenStudy (wolf1728):

According to the intersecting chord theorem http://1728.org/circpart.htm whenever 2 chords in a circle intersect the products of the segments are equal. So as you said: 7•4 = 5•Z However to solve for Z, divide both sides by 5 (7•4) / 5 = Z z = 28 / 5 z = 5.6

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