Answer:
<x = 31°
Step-by-step explanation:
m<BCA = m<GCJ (vertical angles)
m<BCA = 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC = 90°
m<BAC + m<ABC + m<BCA = 180° (sum of triangle)
m<BAC + 90° + 59° = 180° (Substitution)
m<BAC + 149° = 180°
m<BAC = 180° - 149°
m<BAC = 31°
<x = <BAC (vertical angles)
m<x = 31° (substitution)
Answer:


Step-by-step explanation:
Given


Solving (a): Mean



Solving (b): Standard Deviation (SD)




I cannot solve this because there is no example
2x+18=60
-18 -18
2x = 42
÷2. ÷2
x= 21
Answer: Scarlett must sell more than 1/4 of a batch in order to make a profit
<u>Step-by-step explanation:</u>
Revenue: R = 20n
Expenses: E = 10√n
Profit: P = R - E
= 20n - 10√n
Profit is earned when Revenue > Expenses
20n > 10√n
<u>÷10 </u> <u>÷10 </u>
2n > √n
(2n)² > (√n)²
4n² > n
4n² - n > 0
n(4n - 1)> 0
n > 0 and 4n - 1 > 0
n > 