Nthe diagram, mq = qp = po = on. if np is greater than mp, which must be true? segment op is longer than segment mq. segment mn has the same length as segment mp. the measure of angle q equals the measure of angle o. angle o is larger than angle q.

Correct choice is D

Step-by-step explanation:

Consider attached diagram, where MQ = QP = PO = ON.

Option A is false, because segment OP is equal to segment MQ (given).

Option B is false, because segment MN has length that depends on the placement of points M and N (segment MN can be greater than segment MP, can be smaller than segment MP).

Option C is false, because if the measure of angle Q equals the measure of angle O, then by the cosine law, MP=NP but this statement is not true (given MP<NP).

Option D is true, because the side that is opposite to the greater angle is greater and you know that MN>NP, then the measure of angle O is larger than the measure of the angle Q.

50.6

step-by-step explanation:

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches