Answer:
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Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
4(x - 1) - 3x = 2
Step 2: Solve for <em>x</em>
- Distribute 4: 4x - 4 - 3x = 2
- Combine like terms: x - 4 = 2
- Add 4 to both sides: x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
4(6 - 1) - 3(6) = 2
4(5) - 18 = 2
20 - 18 = 2
2 = 2
Since the beacons rotate together, the angular speed is constant.
From the time you see the first beacon, you have to wait for the lighthouse to make 120°, i.e. 1/3 of a whole turn.
So, if T is the time it takes for the lighthouse to make a whole turn, the interval between the first and the second beacon is T/3.
The interval between the second and third beacon is the amount of time it takes to the lighthouse to make the remaining 2/3 of a turn, so that you'll see the first beacon again. So, this time is 2T/3
So, the ratio is

So, the time between the second and third beacon is twice as much the time between the first two.
A, e, and f! hope it helps