Answer:
f) 
e) 
d) 
c) 
b) 
a) 
Step-by-step explanation:
- m∠5 ≅ m∠4; Angle Correspondence Theorem
- m∠5 ≅ m∠1; Alternate Interior Angles Theorem
- m∠6 ≅ m∠2; Alternate Exterior Angles Theorem
- 180° = m∠2 + m∠1; Definition of Linear Pair [Supplementary Angles]
- 180° = m∠5 + m∠3; Definition of Linear Pair [Supplementary Angles]
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5x=20 x=4
10x=10×4=40
Answer:
81 samples
Step-by-step explanation:
According to the empirical rule :
Possible values of the sample mean is within 3 standard deviations of the population mean :
μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.
3 * sd(x) = 1
sd(x) = 1/3
Recall:
Standard deviation of sampling distribution, sd(x)
sd(x) = σ / sqrt(n)
1/3 = 3 / sqrt(n)
Square both sides
1/9 = 9/n
Cross multiply :
n * 1 = 9 * 9
n = 81
Answer:
$39.96
Step-by-step explanation:
Since it is 20% off, we would multiply by .8, as we subtract the .2 (20%) off of the price.
$49.95 x 0.8 = $39.96
