One movie club charges $100 membership fee and $10 per movie. Another club charges no membership fee but movies are $15 each. Wr
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
The expression is a radical. To simplify pull out any perfect square factors.
Each of these expressions is equivalent.
Answer:
Angle RNQ is equal in measure to arc PR.
Step-by-step explanation:
Consider the complete question is,
Points N, P, and R all lie on circle O. Arc PR measures 120° How does the measure of angle RNQ relate to the measure of arc PR?
A.Angle RNQ is equal in measure to arc PR.
B.Angle RNQ is half the measure of arc PR.
C.Angle RNQ is twice the measure of arc PR.
D.Angle RNQ is four times the measure of arc PR.
By the below attached diagram,
In triangle PRN,
O∈PN,
Such that, RO = RN,
⇒ m∠RON = m∠RNO ......(1),
Also, m∠ROP+m∠RON = 180° ( linear pairs ),
⇒ 120° + m∠RON = 180°
⇒ m∠RON = 180° - 120° = 60°,
From equation (1),
m∠RNO = 60°,
Again,
m∠RNO + m∠RNQ = 180° ( linear pairs )
⇒ 60° + m∠RNQ = 180°
⇒ m∠RNQ = 180° - 60° = 120°,
But, Arc PR measures 120°
Hence, Angle RNQ is equal in measure to arc PR.
