Answer:
The regular polygon that she should use is an equilateral triangle
Step-by-step explanation:
The parameters given are;
Interior angles = 0.5 × Exterior angles
Exterior angles of a regular polygon = 360/n
Sum of interior angles of a regular polygon = (n - 2) × 180
Where n = the number of sides
Therefore, the sum of exterior angles of a regular polygon = 360°
Hence we have;
(n - 2) × 180 = 360/2 = 180
n - 2 = 180/180 = 1
n = 1 + 2 = 3 which is a three sided regular polygon or an equilateral triangle
Therefore, the regular polygon that she should use is an equilateral triangle
Answer:
The answer to your question is He must get 80%
Step-by-step explanation:
Data
Scores 55%, 78%, 84%, 93% and X
Average 80%
Process
1.- Write a equation to solve this problem
- There are five scores
Score 1 = S1 = 55
Score 2 = S2 = 78
Score 3 = S3 = 84
Score 4 = S4 = 93
Score 5 = S5 = X
Equation
Average = (S1 + S2 + S3 + S4 + S5) / 5
- Solve for S5
5 Average = S1 + S2 + S3 + S4 + S5
S5 = 5 Average - S1 - S2 - S3 - S4
- Substitution
S5 = 5(80) - 55 - 78 - 84 - 93
- Simplification
S5 = 400 - 310
- Result
S5 = 90
The length is 54 ft because 13.5 in. is equal to .25*54 so 1*54 would be your answer in feet.
