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3 years ago

i don't need 8-11. we're reviewing except i didn't learn this last year. (lets hope the quality is good)

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

8 0

Answer:

1. angle AEB and angle DEF

2.angle AEB and angle CEB

3. angle AEF and angle DEF

4. 120 degrees - vertical angles have the same degree

5. 13 degrees - vertical angle

6. 180-110 = 70 degrees - supplementary

7. 180-65 = 115 degrees - supplementary

Step-by-step explanation:

vertical angle = angles that are opposite of each other where two lines cross

complementary angle = angles that make up the sum of 90 degrees

supplementary angle = 2 angles with the sum of 180 degrees

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4 years ago

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3 years ago

If x= sin theta then x/√1-x^2 is

SCORPION-xisa [38]

Well,

Given that $x=\sin(\theta)$ ,

We can rewrite the equation like,

$\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}$

Now use, $\cos(\theta)^2+\sin(\theta)^2=1$ which implies that $1-\sin(\theta)^2=\cos(\theta)^2$

That means that,

$\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}\Longleftrightarrow\dfrac{\sin(\theta)}{\sqrt{\cos(\theta)^2}}$

By def $\sqrt{x^2}=x$ therefore $\sqrt{\cos(\theta)^2}=\cos(\theta)$

So the fraction now looks like,

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Hope this helps.

r3t40

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3 years ago