If a candy store begins the day with 212 candy bars and sells 50 of them by noon, how many candy bars are left?

Use sigma notation to represent the following series for 9 terms.

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.