saharalover11
20.10.2021 •
Mathematics
Line AE and line DF are parallel. If m∠ABG = 12x and m∠HCF = 11x + 9, what is m∠HCF?
A. 15°
B. 72°
C. 108°
D. 112°
Solved
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Ответ:
C. 108°
Step-by-step explanation:
∠ABG and ∠HCF are alternate exterior angles which mean they are congruent (equal in measure) So, if 12x = 11x+9, use railroad tracks to solve
Now substitute 9 in for x in the equation for ∠HCF11x+9 = ∠HCF
11(9) + 9 = ∠HCF
99 + 9 = ∠HCF
108 = ∠HCF
Ответ:
99.85
Step-by-step explanation:
$99.85\text{ %}$
Notice that 52 inches is three standard deviations less than the mean. Based on the Empirical Rule, 99.7% of the yearly snowfalls are within three standard deviations of the mean. Since the normal distribution is symmetric, this implies that 0.15% of the yearly snowfalls are less than three standard deviations below the mean. Alternatively, 99.85% of the yearly snowfalls are greater than three standard deviations below the mean.