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°
The answer for the question in problem would be $125 is the price of hotel per night. This is computed by establishing the equations from the given statements, 3x + 4y = 625 and 4x +5y = 875. And by substitution you would get the answer of 125 as the price per night n the hotel and 75 per day for the rental of car.
Answer:
- 4m - 2r - 25
Step-by-step explanation:
-8m + (-15) + 4m - 2r - 10
- 8m - 15 + 4m - 2r - 10
collect the like terms beginning with the positives
4m - 8m - 2r - 10 - 15
- 4m - 2r - 25
Number patterns can be formed easily when we know the rule. In our case
The rule is n-4 ,
therefore , when n=1 then 1-4 = -3
n=2 then 2-4 = -2
n = 3 then 3-4 = -1
n = 4 then 4-4 = 0
n = 5 then 5-4 = 1
n= 6 then 6-4 = 2
Therefore we get a pattern -3,-2,-1,0,1,2,..............
hence in this case the difference between consecutive pairs is always 1
