What is the slope of the line that passes through the points (2,-5) and (-6,4) ?
1 answer:
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= 9n + 63
generate the first few terms using the recursive equation
f(1) = 72
f(2) = 72 + 9 = 81
f(3) = 81 + 9 = 90
f(4) = 90 + 9 = 99
the sequence is 72, 81, 90, 99, .....
This is an arithmetic sequence whose n th term formula is
=
+ (n - 1 )d
where is the first term and d the common difference
d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and = 72
= 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula
Answer: t=20°
Step-by-step explanation:
1. By definition, the sum of the interior angles is 180 degrees.
2. Keeping the information above on mind, you can write the following expression:
3. Now, you must solve for as following:
4. Therefore, the value of is 20°