Really urgent Bus X, Bus Y and Bus Z leave the bus terminal every 35 minutes, 40 minutes and 42 minutes respectively. Given that the 3 buses leave the interchange together at 0620, what would be the next time the three buses leave together?

Step-by-step explanation:

Find the lowest common multiple between the numbers

35 = 5×7

40 = 2³×5

42 = 2×3×7

So the lowest common multiple is:

2³×3×5×7 =840 minutes

840 minutes is 14 hours so the next time they are all at the interchange is 2020 hours.

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step-by-step explanation:

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x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.