Answer:
The interior angles are 70°,65°,80°,155° and 170°
Step-by-step explanation:
step 1
Find the sum of the interior angles of the pentagon
The sum is equal to
S=(n-2)*180°
where
n is the number of sides of polygon
n=5 (pentagon)
substitute
S=(5-2)*180°=540°
step 2
Find the value of x
Sum the given angles and equate to 540
x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°
7x+50=540°
7x=490°
x=70°
step 3
Find all the angles
x=70°
(x-5)=(70-5)=65°
(x+10)=(70+10)=80°
(2x+15)=(2*70+15)=155°
(2x+30)=(2*70+30)=170°
1/2m-3/4n=16
1/2m-3/4(8)=16
1/2m-6=16
1/2m=22
m=44
I hope this helped!
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>
Answer: 7740
Step-by-step explanation: take 180(n-45) and n represents the sides
2 hours. She spent 1 hour for math which was half so the total would be 2*1=2.
1/2x=1 /x2
x=2