3 years ago

Find X please for geometry

Mathematics

1 answer:

inysia [295]3 years ago

3 0

Answer:

x=22.5°

Step-by-step explanation:

∵it's a rhombus

∴each 2 opposite sides are parallel

∴the angel adjecent angle the angle 3x is equal to the angle 6x

∴ 3x+6x=180

8x=180

⇒x=22.5

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Step-by-step explanation:

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3 years ago

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Trigonometry

quester [9]

Answer:

$\frac{9 + 2 \sqrt{3} }{3} \\$

Step-by-step explanation:

$\cosec(30) + \cosec(60) + \cosec(90) \\ \\ = 2 + \frac{2}{ \sqrt{3} } + 1 \\ \\ = \frac{2 \sqrt{3 } + 2}{ \sqrt{3} } + 1 \\ \\ = \frac{2 \sqrt{3} + 2 + \sqrt{3} }{ \sqrt{3} } \\ \\ = \frac{3 \sqrt{3} + 2}{ \sqrt{3} } \\ \\ = \frac{3 \sqrt{3} + 2}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ = \frac{9 + 2 \sqrt{3} }{3}$