As per the isosceles triangle theorem, if the two base angles are congruent then the legs are also congruent, so we must set the two legs equal to each other:
2z - 15 = 9
Add 15 to both sides:
15 - 15 = 0
15 + 9 = 24
Divide 2 from each side:
2z = 24
2z/2 = z
24/2 = 12
z = 12
Hence, the answer would be D: z = 12
        
                    
             
        
        
        
Answer:
<u>Number of rooms reserved for the students are - 90 .</u>
Step-by-step explanation:
Firstly ,
As we know 60% of the 600 students went on the trip,
Then , 
Number of students went on the trip = 60% of 600
                                                           = 
                                                         = 360
Now , 
Given - One room is reserved  for 4 students ,
Therefore , Number of rooms for 360 students = 
                                                                              = 90 
<u>Hence , the answer is  90 rooms reserved for the students.</u>
 
        
             
        
        
        
Answer:
0.08065
Step-by-step explanation:
Given that in a recent study,1 2006 randomly selected US adults (age 18 or older) were asked to give the number of people in the last six months with whom you discussed matters that are important to you.
If X is random variable then X has mean 2.2 and s = 1.4
n=2006
Std error of mean =
For 99% since sample size is large, t and z distn almost coincide.
Hence we can take 2.58 as critical value
Margin of error at 99% =
 
        
             
        
        
        
Answer:
Half of 24 is 12
Step-by-step explanation:
24/2 = 12
 
        
                    
             
        
        
        
Answer:
   +15
Step-by-step explanation:
An increase is generally regarded as being positive. If units are dollars, an increase of $15 can be represented by the integer +15.
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<em>Additional comment</em>
If units are dimes, then the number would be +150. So, you see, <em>the units are important </em>to know.
It also depends on <em>what is increasing</em> and what is being represented by the integer. If it is an increase in debt, then the change in net worth might be -15.