Answer:
We conclude that:
Step-by-step explanation:
Given the expression

Apply the rule:

so the expression becomes

Apply the rule:

so the expression becomes
                               ∵
         ∵ 
                              
                              
Therefore, we conclude that:
 
        
             
        
        
        
Answer:
   7.  ∠CBD = 100°
   8.  ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°
Step-by-step explanation:
7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.
Then the congruent base angles of isosceles triangle ABC will be ...
   ∠B = ∠C = (180° -20°)/2 = 80°
The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...
   ∠CBD = 180° -80°
   ∠CBD = 100°
__
8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:
   ∠CBD = ∠BCE = 100°
   ∠CED = ∠BDE = 80°
 
        
             
        
        
        
Answer:
What is the probability that you will finish this quiz in 23.84 minutes or less? 
0.03593
Write your answer as a percentage with 2 decimals
= 3.59%
Step-by-step explanation:
The z score formula is given as:
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean = 26 minutes 
Standard deviation = 1.2 minutes. 
The probability that you will finish this quiz in 23.84 minutes or less(≤) is calculated as:
z = (x-μ)/σ
z = 23.84 - 26/1.2
z = -1.8
Probability value from Z-Table:
P(x ≤ 23.84) = 0.03593
Converting to percentage
0.03593 × 100
= 3.593
Approximately to 2 decimal places = 3.59%
 
        
             
        
        
        
Answer:
............................
Step-by-step explanation:
 
        
             
        
        
        
Can you please be more specific? He drank 4/5 of the bottle and if the bottle is a 2 liter bottle, he drank 1.6