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2 years ago

Help Me With This Question Please!

Mathematics

2 answers:

sp2606 [1]2 years ago

6 0

Answer:

Step-by-step explanation:

Lines A , B, C and D meet at a point, O. Different angles are formed at this poin, O.

The sum of the angles at point O is 360 degrees. It means that

x + (2x + 80) + (5x + 40) + 4x = 360 degrees

x + 2x + 80 + 5x + 40 + 4x = 360 .

x + 2x + 4x + 5x + 80 + 40 = 360

12x + 120 = 360

12x = 360 - 120 = 240

x = 240/12 = 20

Therefore

Obtuse angle AOB = 2x + 80 =

2 × 20 + 80 = 120 degrees

Obtuse angle BOC = 5x + 40 = 5 × 20 + 40 = 140 degrees

Obtuse angle BOD = x + 2x + 80 = 20 + 2 × 20 + 80 = 140 degrees

Andrej [43]2 years ago

3 0

Answer:

∠AOB = 120°

∠BOC = 140°

∠BOD = 140°

Step-by-step explanation:

First, find X !

Full circle is 360°

360 = (2x + 80) + (5x + 40) + 4x + x

360 = 12x + 120

240 = 12x

x = 20°

Substitute the X

∠AOB ≡ (2x + 80) =

(2(20) + 80) = 120°

∠BOC ≡ (5x + 40) =

(5(20) + 40) = 140°

∠BOD = ∠AOB + ∠DOA ≡

120 + x = 120 + 20 = 140°

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katovenus [111]

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Step-by-step explanation:

Considering the geometric sequence

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As the common ratio ' $r$ ' between consecutive terms is constant.

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

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$a_n=a_1\cdot \:r^{n-1}$

$a_n=5\left(-5\right)^{n-1}$

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$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=-5\cdot \:5^{11}$

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$=-5^{1+11}$ ∵ $5\cdot \:5^{11}=\:5^{1+11}$

$=-244140625$

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$a_{12}=-244140625$

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