Given: ∠JNL and ∠MNK are vertical angles and m∠MNK=90°
Prove: ∠JNL is a right angle.
Statements Reasons
1. ∠JNL and ∠MNK are vertical angles. Given
2. 
Vertical angle theorem
3. 
Angle congruence postulate
4. 
Given
5. 
<u> Substitution Property of Equality</u>
Since, the measures of angle JNL and MNK are equal and the measure of angle MNK is 90 degrees. therefore, by substitution property of equality, both the angles JNL and MNK will have an equal measure.
Therefore,
6. ∠JNL is a right angle. Definition of right angle
The formula for circumference is C = 2πr.
The question gives you the circumference (C in the formula), and you need to find the radius (r in the formula). Begin by isolating r in the circumference formula.
C = 2πr
C/2π = r
r = C/2π
Now you can plug 96 for C and solve to find r.
r = C/2π
r = 96/2π
r ≈ 96/6.28
r ≈ 15.29
Answer:
The radius of a circle with a circumference of 96 feet is approximately 15.29 feet.
Answer:
No
Step-by-step explanation:
6/2=3
14/42=1/3=0.33333333333333333333
Answer:
11,8,5
Step-by-step explanation:
an=11-3(n-1)
Let n=1
a1 = 11 - 3(1-1)
= 11 -0
=11
Let n=2
a2 = 11-3(2-1)
= 11 -3(1)
= 8
Let n=3
a3 = 11-3(3-1)
= 11 -3(2)
= 11 -6
=5
