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2 years ago

A triangle's measures are in the extended ratio of 2:4:9 find the measures of angles

Mathematics

1 answer:

Margaret [11]2 years ago

7 0

Answer:

24°:48°:108°

Step-by-step explanation:

Since the sum of angles in a triangle is 180°, we can do 180÷15 to find the degree for 1 in the ratio. 180÷15 = 12.

12°×2 = 24°

12°×4 = 48°

12°×9 = 108°

The ratio is 24°:48°:108°

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(4). $g_n = 2 . 3^{n - 1}$

To find the first term, substitute n = 1.

Therefore, $g_1 = 2 . 3^{1 - 1} = 2 . 3^{0} = 2 . 1$ = 2

$g_2 = 2 . 3^{2 - 1} = 2 . 3$ = 6

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Therefore the first five terms of the sequence are: 2, 6, 18, 54, 168.

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