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k0ka [10]
3 years ago
14

Determine the value of t.

Mathematics
2 answers:
Anna71 [15]3 years ago
5 0
The angles are the same, so you can do the following:
3t + 12 = 66

3t = 66 - 12
3t = 54
t = 54/3
t = 18
Alekssandra [29.7K]3 years ago
4 0

Step-by-step explanation:

Since vertically opposite angles are equal

Therefore 3t+12=66

3t=66-12

3t=54

t=54/3

t=3

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A plane is traveling 600 miles. It takes the plane 5 hours against the wind and 4 hours with the wind. What is the speed of the
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Answer: the speed of the plane in still air is 135 miles per hour

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Step-by-step explanation:

Let x represent the speed of the plane in still air

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The distance travelled by the plane is 600 miles.

Distance travelled = speed × time

It takes the plane 5 hours against the wind. This means that the total speed is (x-y) miles per hour. Therefore,

600 = 5(x- y) = 5x - 5y - - - - - - - 1

It takes the plane 4 hours with the wind. This means that the total speed is (x+y) miles per hour. Therefore,

600 = 4(x+ y) = 4x + 4y - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 5, it becomes

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Adding both equations

5400 = 40x

x = 5400/40 = 135

Substituting x = 135 into equation 1, it becomes

4 × 135 + 4y = 600

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4y = 600 - 540 = 60

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6 0
3 years ago
How are integers and rational numbers the same ?
Alexandra [31]

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Step-by-step explanation:

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2 years ago
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3 years ago
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