Chords DE, EF, and FG are congruent.

Circle C is shown. Line segments C D, C E, C F, and C H are radii. Secants D E, E F, and F G are congruent. Angle H C D is 75 degrees, angle E C D is 67 degrees, and angle C F G is 56.5 degrees.

Determine the following measures.

mArc F G = __
°
m∠ECF = __
°

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

What is the sum of the first 8 terms of the geometric series