Answer:
Combined equation is
Step-by-step explanation:
a varies directly as b and inversely as c.
This can be written as
a =
a = kb
where k is the proportionality constant
-------------------------------------(1)
Now lets find the k value bu substituting the given a, b,c values
36 = 12 k
k = 3
Thus the eq(1) becomes
Let us now find the value of a when b=7 and c = 3
a = 7
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.
