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guajiro [1.7K]
3 years ago
10

Two angles are supplementary. The first angle has 20º more then the second angle. How many degrees are in each angle?

Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0
The sum of the measures of two supplementary angles is 180 degrees.

The second angle measures x.
The first angle measures 20 deg more than x, or x + 20.

The sum of their measures is 180 deg.

x + x + 20 = 180

2x + 20 = 180

2x = 160

x = 80

The second angle measures 80 deg.

x + 20 = 80 + 20 = 100

The first angle measures 100 deg.

Answer: The first angle measures 100 deg, and the second angle measures 80 deg.

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Step-by-step explanation:

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(2b + 3r) + (4b+ r)
Pavlova-9 [17]
Let's simplify step-by-step. 
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Combine Like Terms: 
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4 0
3 years ago
A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula? –12, –18
Softa [21]

Answer:

The sequence -12 , -18 , -27 , ............ is generated using the formula ⇒ 1st sequence

Step-by-step explanation:

The recursive formula of the sequence is f(n + 1) = 1.5 f(n)

That means there is a constant ratio 1.5 between each two consecutive terms

In sequence -12 , -18 , -27 , ............

The first term is -12

The formula is f(n + 1) = 1.5 f(n)

Use the first term where n = 1 to find the 2nd term

∵ f(1) = -12

- Substitute n by 1 in the given formula

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∴ f(2) = 1.5(-12)

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Use the second term where n = 2 to find the 3rd term

∵ f(2) = -18

- Substitute n by 2 in the given formula

∵ f(2 + 1) = 1.5 f(2)

∴ f(3) = 1.5(-18)

∴ f(3) = -27

∴ The sequence -12 , -18 , -27 , ............ is generated using the formula

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