A regular decagon with exterior angle 1 is shown.

Mathematics

1 answer:

vova2212 [387]1 year ago

8 0

Answer:

∠1 = 36°

Step-by-step explanation:

All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.

<h3>Exterior angles</h3>

The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...

10(∠1) = 360°

∠1 = 36° . . . . . . . . divide by 10

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Please anyone answer me

ollegr [7]

Let's divide the shaded region into two areas:

area 1: x = 0 ---> x = 2

ares 2: x = 2 ---> x = 4

In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.

Area 1:

$A\frac{}{1} = ∫g(x)dx = ∫xdx = \frac{1}{2} {x}^{2} | \frac{2}{0} = 2$