Answer:
<CAB and <DAE are vertical angles
<EAB and <CAD are vertical angles
Step-by-step explanation:
this is because they are formed by the prolongation of the sides of the other angles and are opposite to them on the other side of the vertex.
Answer:

Step-by-step explanation:
Given: Present weight of Caleb’s puppy = 2,250 grams
Puppy weighed 600 grams at his last visit to the veterinarian’s office.
To find: percent increase in the puppy’s weight rounded to the nearest whole number
Solution:
Increase in puppy's weight = 2250 - 600 = 1650 grams
Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = 
is rounded to 
Answer:

Step-by-step explanation:
When I factor
, I get
.
<em>Hope this helps!!</em>
State tax = 2% of 785 = 0.02 x 785 = $15.70
city tax = 1% of 785 = 0.01 x 785 = $7.85
retirement fund = 3% of 785 = 0.03 x 785 = $23.55
Total deductions = $42.25 + $90.33 + $15.70 + $7.85 + $23.55 = $179.68
Net income = $785 - $179.68 = $605.32
Answer: E) Mean will decrease, standard deviation will decrease
Step-by-step explanation:
Initial mean = 81
Initial standard deviation = 9
New score = 78
Taking a look at the initial mean(averahe) score, which is 81 and the new score to be added to the initial scores, the initial average is greater than the new score. Hence, this will result in a decrease in the new mean score after adding the new score of 78.
Also, taking a look at the standard deviation which is 9, we can conclude that the variability in initial scores from the mean scores is high. However, the new score of 78 and the initial mean are very close, and tend to low variation. Hence, adding the new score will lead to a decrease in variability and hence a decrease in the value of standard deviation.