9514 1404 393
Answer:
m∠2 = 16° or 25°
Step-by-step explanation:
The sum of angles 1 and 2 is congruent to angle CED.
20° +(x^2)° = (9x)°
x^2 -9x +20 = 0 . . . . . divide by °, put in standard form
(x -5)(x -4) = 0 . . . . . . . factor
x = 5 or 4
m∠2 = (x^2)° = (5^2)° or (4^2)°
m∠2 = 16° or 25°
Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47
Answer:
95%
Step-by-step explanation:
The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are
i) 68% falls within one standard deviation
ii) 95% falls within two standard deviation
iii) 99.7% falls within three standard deviation.
Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.
