A sequence is defined recursively by the formula f(n + 1) = f(n) + 3. The first term of the sequence is -4. What is the next ter
1 answer:
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To turn into a fraction you should do such steps:
1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .
2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by
. Thus, you have
or
.
3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, .
4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: . If you divide both sides by 9, you get
. When simplified, you get that
.
Answer: .
Answer:
The answer to your question is letter D
Step-by-step explanation:
Formula
m∠E =
Data
m∠E = 48°
DGF = 228°
DF = x°
Substitution
48° =
Solution
2(48) = 228 - x°
96 = 228 - x°
96 - 228 = - x°
- 132 = - x°
x° = 132°