Answer:
6 sides
Step-by-step explanation:
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?
Let us represent:
Sum of Exterior angle as x
Sum of Interior angle as y
Note that:
The sum of the exterior angles of a polygon = 180 - The sum of the interior angles
Hence,
The sum of the exterior angles of a polygon + The sum of the interior angles = 180
x + y = 180
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles.
2x = y
Substituting
x + 2x = 180°
3x = 180°
x = 180/3
x = 60°
Solving for y
2x = y
2 × 60° = y
120° = y
Hence,
Sum of Exterior angle as x = 60°
Sum of Interior angle as y = 120°
The number of sides of a polygon is
360°÷ Sum of Exterior angles
= 360° ÷ 60
= 6 sides
Not sure but i think the answer is
0.28
Answer:
not closed
included
closed
included
Step-by-step explanation:
Hi there!
Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.
Rectangles:
A = l × w
A = 2.75 × 4 = 11 in²
Solve for the other rectangle's length by subtracting from the total:
12 - 2 - 3 - 4 = 3
A = 3 × 3 = 9 in²
Total rectangle area: 11 + 9 = 20 in²
Trapezoid:
A = 1/2(b1 + b2)h
A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²
Triangle:
A = 1/2(bh)
A = 1/2(2.5 · 2) = 2.5 in²
Add up all of the areas:
20 + 10.5 + 2.5 = 33 in²
