In the circle above, rv and sw are chords which intersect at point t. if st = 4 ft, tv = 8 ft, and tw = 12 ft, what is the length of rt?

  6 ft

Step-by-step explanation:

The product of lengths from the point of intersection of the chords to the circle is a constant. For these chords, that constant is ...

  ST·TW = (4 ft)(12 ft) = 48 ft²

Then RT can be found from ...

  RT·TV = 48 ft²

  RT = (48 ft²)/TV = (48 ft²)/(8 ft)

  RT = 6 ft

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

£56

step-by-step explanation: