Hello, I need help with this question, please and thank you.

Mathematics

1 answer:

dangina [55]3 years ago

5 0

Step-by-step explanation:

It appears that given geometrical shape is a HEXA-DECAGON or a 16 sided polygon.

Measure of one interior angle of hexa-decagon can be given as:

$\frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(16 - 2) \times 180 \degree}{16} \\ \\ = \frac{14 \times 45 \degree}{4} \\ \\ = \frac{7 \times 45 \degree}{2} \\ \\ = \frac{315 \degree}{2} \\ \\ = 157.5\degree \\$

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Work shown for part 1

$f(x) = \sqrt{x^2-2x+2}\\\\f(g(x)) = \sqrt{(g(x))^2-2(g(x))+2}\\\\f(g(x)) = \sqrt{(-6x-7)^2-2(-6x-7)+2}\\\\f(g(x)) = \sqrt{36x^2+84x+49+12x+14+2}\\\\f(g(x)) = \sqrt{36x^2+96x+65}\\\\(f \circ g)(x) = \sqrt{36x^2+96x+65}\\\\$