The National Debt increases an average of $1. 85 billion per day The National Debt increases an average of $1.85 billion per day. What is this number written in scientific notation? 1.85 x 109 b. 1.85 x 1012 185 x 107 d. 185 x 1010 Determine which of the following is NOT a function. {(-1, 2), (0, 2), (3, 2)} b. {(3, 1), (2, 0), (3, 2)} {(1, 3), (3, 1), (4, 7)} d. {(1, 0), (-1, 3), (2, 5) What is the measure of each interior angle in the regular polygon below? 120° b) 135° c. 180° d) 720°

Circles and Lengths of Segments Unit 9: Section 9.7

Draw a diagram as an example to the following theorems. Theorem 9-11: When two chords intersect inside a circle, the product of the segments of one chord equals the product of the segments of the other chord. Theorem 9-12: When two secant segments are drawn to a circle from an external point, the product of one secant segment and its external segment equals the product of the other secant and its external segment.

Draw a diagram as an example to the following theorems. Theorem 9-13: When a secant segment and a tangent segment are drawn to a circle from an external point, the product of the secant segment and its external segment is equal to the square of the tangent segment.

Use the three theorems to solve the following example problems. D P C A) If AP = 4, PB = 6, and CP = 8, find PD   B) If AP = 4, PB = 9, and CD = 15, find CP

A) If PQ = 9, QR = 3, and TR = 4, find SR Example 2: Use the three theorems to solve the following example problems. P Q T S R A) If PQ = 9, QR = 3, and TR = 4, find SR   B) If PQ = 11, SR = 12, and TR = 5, find PR

Example 3: Use the three theorems to solve the following example problems. Q R S T A) If RT = 25 and RS = 5, find QR   B) If QR = 6 and ST = 9, find RS

Additional Practice Find the value of x. x = ___________ 3 2 12 x 6 18 x 4 8 3. x = ___________ 6 x

Additional Practice Chords, secants, and tangent are as shown. Find the value of x. x = ___________ 2 x 8 6 x 5 6 9 20 3. x = ___________ x 4x

Homework: Practice Worksheet 9.7