Based on the given nomenclature of angles, I think the illustration would look like that shown in the attached picture. The common vertex is point B, that's why the middle point of the given angles is B. Now, according to Angle Addition Postulate, the individual interior angles should sum up to the total angle. So, the equation would be
m∠ABD = m∠ABC + m∠CBD
m∠ABC = m∠ABD - m∠CBD
m∠ABC = 85° - m∠CBD
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Answer:
A, 14
Step-by-step explanation:
Assuming that she has a total of d dollars, and spends half of it, then we have 1/2d. She then spends <em>another</em> 6 dollars, and therefore we would subtract. She is left with one dollar.
1/2d-6=1
Working backwards, we can solve for d, her total amount of money:
1/2d=7
d=14
<em>I hope this helps! :)</em>
Answer:
7103.98
Step-by-step explanation:
1) 3991 × 6% = 239.46 intrest rate of a year
2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs
3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs
Answer: (23.53, 25.47)
Step-by-step explanation:
The confidence interval for population mean(when population standard deviation is unknown) is given by :-
, where 
= sample mean
n = sample size.
s = sample standard deviation.
t* = Critical value.
Given : 
s= 4.4
Confidence level = 90% =0.090
Significance level = 
Sample size : n= 58
Degree of freedom : df= n-1= 57
Using t-distribution table , the critical value :
Then, the confidence interval will be :-
Hence, a 90% confidence interval for the population mean = (23.53, 25.47)
