2. In the circle shown, secants PE and PF have been drawn such that mCE  82 , mDF  98 and the ratio 3. In circle O, tangent MQ , secant MN and chord PN are drawn. If mNPQ  102 and mM  60 ,  COMMON CORE GEOMETRY, UNIT #9 – CIRCLE GEOMETRY - LESSON #7 eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018 Date:  of mCD to mEF is 2:7. Determine the measure of P . Show how you arrived at your answer.

Complete Question

The complete question is shown on the first uploaded image

The arc PR is  

Step-by-step explanation:

A descriptive diagram of the diagram given in the question is shown on the first uploaded image

  In the circle tangent   , secant and  chord are drawn

given that   ,

   The objective is to determine PR

From the diagram we see that MQ is a straight which implies that the the angle

Now looking at triangle NMP we see that

Now the measure of an inscribed angle is half the measure of its  arc intercepted, this statement is the inscribed angle theorem

 So with the knowledge

   Then

  Looking at the diagram we see that

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

b.an increase in a causes b to decrease