In the diagram, secant AP¯¯¯¯¯¯¯¯ intersects the circle at points A and B, and secant CP¯¯¯¯¯¯¯¯ intersects the circle at points C and D. The lines intersect outside the circle at point P.
A circle with no center shown and two secants as described in the text. Points A, B, D and C lie on the circle. Segment B P equals 6, segment C D equals 7, and segment D P equals 5.

What is the length of AP¯¯¯¯¯¯¯¯?
Enter the correct value.

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

Math each whole number with a rational, exponential expression

What fraction is equivalent to 0.46464646··· a. 46⁄999 b. 46⁄100 c. 46⁄99 d. 23⁄50