Answer:
Step-by-step explanation:
If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.
If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118
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>
Alright,
(a) 2x+4(x-1)=2
2x+4x-4=2---- Distrubution of 4(x-1)
6x-4=2---- Combining like terms
6x=6---- Making -4 equal 0 by adding +4 to both sides
x=1---- Divide the coefficiant (6)
(b) 25-x=15-(3x+10)
25-x=15-3x-10----Distribute the -1
25-x=5-3x---- Combine like terms
25=5-2x---- Make -x equal 0 by adding +x to both sides
20=-2x---- Make 5 equal zero by subtracting 5 (or adding -5) to both sides
-10=x---- Divide by the coefficiant (-2)
(c) 4x= 2x+2x+5(x-x)
4x=2x+2x+5(0)---- Distribute. Alright this might look hard but realy it is 1x-1x so the answer is 0
4x=2x+2x---- 5 times 0 is 0
4x=4x---- Combine like terms
x=x ---- divide by the coefficiant
Alright! Hope this helps! ;)
The wire is about 11.18 m long. This can be found using the Pythagorean theorem.