The answer for the first slot is Alternate Interior Angles Theorem
Angle B and angle G are inside the "train tracks" formed by AB and GH. They are on opposite sides of the transversal line BG.
Along a similar line of reasoning, the answer for the second slot is Alternate Exterior Angles Theorem
The two parallel lines in question are AC and FH. The transversal line is FC. Angles ACB and HFG are on the exterior of the "train tracks" formed by the parallel lines.
Step-by-step explanation:
An arithmetic sequence is a sequence that adds or subtracts the same amount every time, making the answer C. The numbers are increasing by +5 consistently.
Answer:
the number of different three course meals that can be ordered equals 45
Step-by-step explanation:
In selecting Salads we have 5 choices.
In selecting pizza's we have 3 different choices
IN selecting dessert's we have 3 different choices
Thus the total number of choices to order the meal is
5 x 3 x 3=45.
Thus the number of different three course meals that can be ordered equals 45.
Answer:
Only 60 is an identified outlier
Step-by-step explanation:
Given
<u>Age group: 40 to 50</u>


<u>Conditions for outlier</u>


<em>See attachment for complete question</em>
<u>Required</u>
Which of 60, 62 and 84 is an outlier of age grout 40 to 50 years
First, calculate the IQR of group 40 to 50.
This is calculated as:

Where:
and 
So:


<em>Next, is to test the outlier conditions on each value (i.e. 60, 62 and 84)</em>
<u></u>
<u>Testing 60</u>
<u>Condition 1</u>



--- False
<u>Condition 2</u>



--- True
<em>Because one of the conditions is true, then 60 is an outlier of group 40 - 50 years</em>
<em></em>
<u>Testing 62</u>
<u>Condition 1</u>



--- False
<u>Condition 2</u>



--- False
<em>Because both conditions are false, then 62 is not an outlier of group 40 - 50 years</em>
<em></em>
<u>Testing 84</u>
<u>Condition 1</u>



--- False
<u>Condition 2</u>



--- False
<em>Because both conditions are false, then 84 is not an outlier of group 40 - 50 years</em>