Answer:
1. Sum of the interior angles = 720°
2. (6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5
Step-by-step explanation:
1. The sum of the interior angles = (The number of sides - 2) times 180
The sum of the angles of this polygon with 6 sides is 6 - 2) times 180 = 720°.
2. ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 720°
(6x) + (5x + 26.5) + (7x - 8) + (4x + 21.5) + (5x + 19) + (10x + 13.5) = 720
37x + 72.5 = 720 Simplify adding x terms and numbers)
37x = 647.5 Subtract 72.5 from both sides
x = 17.5 Dividing both sides by 37
Solve for each angle using x = 17.5
3. Angle A = 6x = 6(17.5) = 105
Angle B = (5x + 26.5) = 114
Angle C = (7x - 8) = 114.5
Angle D = (4x + 21.5) = 91.5
Angle E = (5x + 19) = 106.5
Angle F = (10x + 13.5) = 188.5
0.000701 in notation is 7.01 x 10^-4
The number has to be greater than 1 but less than 10. If the number is small then the exponent will be negative. 7.01 is less than 10 and greater than 1. In order to get the number you go to the right 4 times.
I hope this helped
Answer: 0.02 is the answer
Step-by-step explanation:
