optional take home 3

25) In the accompanying diagram, tangent and secant are drawn to circle O.If is twice and is 50, what is ?1) 25 3) 1002) 50 4) 20026) In the diagram below of circle C, , and . What is ?1) 50 3) 902) 60 4) 11027) The accompanying diagram shows two intersecting paths within a circular garden.What is the length of the portion of the path marked x?1) 3) 32) 11 4) 1228) In the diagram of circle O on the right, chord intersects chord at E, ,, , and . What is the value of x?1)1 3) 52) 3.6 4) 10.2529) In the diagram on the right, is a tangent to circle O at point S, is a secant,, , and . What is the length of ?1)6 3) 32) 9 4) 2730) In the diagram on the right, tangent and secant are drawn to circle O from external point P.If and , what is the length of ?1)20 3) 82) 9 4) 6