R = 108/-81 = -144/108 =192/-144 = -4/3
This is a geometric sequence with a common ratio (r) = -4/3
The nth term of a geometric sequence is given by tn = ar^(n-1) where a is the 1st term.
Therefore, the formular for the sequence is f(x) = -81(-4/3)^(x-1)
Answer: C [f(x) = -81(-4/3)^(x-1)]<span><span /></span>
Answer:
E. 35°, 70°
Step-by-step explanation:
Sum of angles add up to 180° in every triangle.
Step 1: Set up equation
a + 2a + 75 = 180
Step 2: Combine like terms
3a + 75 = 180
Step 3: Subtract 75 on both sides
3a = 105
Step 4: Divide both sides by 3
a = 35
So 1 angle is 35°
Step 5: Plug in <em>a</em> to find last angle
2(35) = 70°
The formula for sum of the interior angles is,
S = 180 x (n - 2)
and that of the number of diagonals is,
d = n x (n - 3) / 2
where n is the number of sides. For 6-sided polygon,
S = 180 x ( 6 - 2) = 720
d = 6 x (6 - 3) / 2 = 9
Therefore, the answer is 720 degrees and 9 diagonals.
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