3 years ago

F(x) = x2. What is g(x)? f(x) g(x) (2.2) 15

Mathematics

1 answer:

Eddi Din [679]3 years ago

8 0

Answer:

the answer is g (x)=2x2

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8. In the diagram below, angle CAE = 39 °. Find the following<br>:) AOC<br>b) OBA

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Answer:

a) 78°

b) 39°

Step-by-step explanation:

In circle with center O, DE is tangent at point A and AC is chord (or secant if extended both sides).

Therefore by tangent secant theorem.

$m\angle CAE = \frac{1}{2} \times m\widehat{(AC)} \\\\\therefore 39\degree = \frac{1}{2} \times m\widehat{(AC)} \\\\\therefore m\widehat{(AC)} = 39\degree\times 2\\\red{\bold{\therefore m\widehat{(AC)} = 78\degree}}\\$

Since, measure of central angle of a circle is equal to the measure of its corresponding minor arc.

$\therefore m\angle AOC = m\widehat{(AC)}\\\huge \purple {\boxed {\therefore m\angle AOC = 78\degree}} \\$

Next, by inscribed angle theorem:

$m\angle CBA = \frac{1}{2}\times m\widehat{(AC)}\\\\\therefore m\angle CBA = \frac{1}{2}\times 78\degree \\\\\therefore m\angle CBA =39\degree \\\\\huge \orange{\boxed {\therefore m\angle OBA = 39\degree}}\\... (\because C-O-B) \\$

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