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Kay [80]
3 years ago
11

If angle 2 is 97 what is the measurement of angle 1

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
8 0

Answer:

83

Step-by-step explanation:

The total angle of a flat line is 180. If you subtract the angle of 2 from 180 you get 83 which is the angle of 1.

il63 [147K]3 years ago
8 0

Answer:

∠ 1 = 83°

Step-by-step explanation:

These angles share the same line and ray, so we know that

∠ 1 + ∠ 2 = 180°

Since ∠ 2 = 97°, we can substitute the value for angle 2 and solve for angle 1.

∠ 1 + ∠ 2 = 180°

∠ 1 + 97° = 180°

∠ 1 = 180° - 97°

∠ 1 = 83°

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The sum of the first ten terms of a linear sequence is 145. the sum of the next ten term is 445. find the sum of the first four
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The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

S_n =\frac{n}{2}(2a+(n-1)d)

The sum of the first ten terms of a linear sequence is 145

⇒ S_{10} =\frac{10}{2}(2a+(10-1)d)

⇒ 145 = 5 (2a+9d)

⇒ \frac{145}{5} =2a+9d

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ S_{20} =\frac{20}{2}(2a+(20-1)d)

⇒ 590 = 10 (2a + 19d)

⇒ \frac{590}{10}=2a+19d

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Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \frac{30}{10}

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \frac{2}{2}

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Thus, sum of first four terms is

⇒ S_4 =\frac{4}{2}(2(1)+(4-1)(3))

⇒ S_4 =2(2+(3)(3))

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

Learn more about sum of sequence of n terms here

brainly.com/question/20385181

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