Answer:
S₁₅ = 645
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
=
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Using the nth term formula = 5n + 3 , then
a₁ = 5(1) + 3 = 5 + 3 = 8
a₂ = 5(2) + 3 = 10 + 3 = 13 , then
d = a₂ - a₁ = 13 - 8 = 5
Thus
S₁₅ = [ (2 × 8) + (14 × 5) ]
= 7.5( 16 + 70)
= 7.5 × 86
= 645
Answer:
Arc KL
Arc OM
Step-by-step explanation:
We know that Angle NPM is equal to 90 degrees.
Therefore, Angle KPM is also equal to 90 degrees.
We are told that Arc LM is equal to 67.
Thus, the measure for Arc KL is equal to
We also know that Angle OPN is equal to Angle KPL.
Therefore, the measure of Arc ON
Using that information, we know that Arc OM is equal to
Hope I helped!
Answer:
Step-by-step explanation: