Answer:
idk SPAM
Step-by-step explanation:
Answer:
D = 108°
F = 180°
H = 252°
I = 288°
Explanation:
Every regular polygon with <em>n </em>sides can be divided into <em>n</em> congruent triangles. The angle with vertex the center of the polygon will measure 360 : <em>n </em>degrees. This will also be the angle of rotation under which the polygon matches itself.
We are given a regular decagon, therefore:
<em>n </em>= 10
α = 360 : <em>n </em>= 36°
We consider that, if the decagon is not rotated, A' coincides with A and the rotation is towards the next letter of the alphabet. This means that after one rotation of 36° A' will coincide with B, after two rotations A' will coincide with C and so on.
A' will coincide with D after three rotations: 3 × 36° = 108°
A' will coincide with F after five rotations: 5 × 36° = 180°
A' will coincide with H after seven rotations: 7 × 36° = 252°
A' will coincide with I after eight rotations: 8 × 36° = 288°
To solve this, you have to know the formula for the area of a trapezoid:
In this question:
base 1 = 25
base 2 = 35
height = 12
The area is
360
Answer:
180 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Since angle C is 90 degrees and angle A is 15 degrees Then,
A+B+C=180
15+90+B=180
B=180-90-15
B=75 degrees
Using the sine law,
a/sinA = b/sinB = c/sinC
where a, b, and c are the sides of the triangle,
So,
a/sin15 = 37/sin90
and
b/sin75 = 37/sin90
Simplifying, and solving for a and b, the measure of each side is
a= 9.58 units
b=35.74 units
I hope this helped. I am sorry if you get this wrong.
Answer:
C
Step-by-step explanation:
The sum of the angles on a triangle must always equal 180 degrees. That means...
40 + 60 + (2n - 10) = 180
100 - 10 + 2n = 180
90 + 2n = 180
90 - 90 + 2n = 180 - 90
2n = 90
n = 45
I hope this helps!
