Answer:
The measure of one angle of a regular convex 20-gon is 162°
Step-by-step explanation:
* Lets explain how to solve the problem
- A convex polygon is a polygon with all the measures of its interior
angles less than 180°
- In any polygon the number of its angles equal the number of its sides
- A regular polygon is a polygon that is all angles are equal in measure
and all sides are equal in length
- The rule of the measure of an angle of a regular polygon is
, where m is the measure of each interior
angle in the polygon and n is the numbers of the sides or the angles
of the polygon
* Lets solve the problem
- The polygon is convex polygon of 20 sides (20 angles)
- The polygon is regular polygon
∵ The number of the sides of the polygon is 20 sides
∴ n = 20
∵ The polygon is regular
∴ All angles are equal in measures
∵ The measure of each angle is 
∴
∴ 
∴ 
∴ m = 162
∴ The measure of one angle of a regular convex 20-gon is 162°
Aida did not correctly divide by the common factor to get (4+8).
Answer:
50
Step-by-step explanation:
and
can be expressed in complex form, with
= i
=
=
×
= 8i
=
=
×
= 4i
the factors can then be expressed as
(6 + 8i)(3 - 4i) ← expand using FOIL
= 18 - 24i + 24i - 32i² [ i² = (
)² = - 1 ]
= 18 - 24i + 24i + 32 ← collect like terms
= 18 + 32 + 0
= 50
Answer:
256 cm^2
Step-by-step explanation:
The area of the rectangle is the product of its length and width.
A = (16 cm)(10 cm) = 160 cm^2
The area of each triangle is half the product of its base and height.
A = (1/2)(16 cm)(6 cm) = 48 cm^2
__
Then the area of the rectangle and 2 triangles is ...
160 cm^2 + 2(48 cm^2) = 256 cm^2
The area of the composite figure is 256 cm^2.
Angle DEA is the correct answer
Hope my answer helps!