Answer:
1. (5x - 2) + (2x - 2) + x = 
2. m<J = 
3. m<K = 
4. m<L = 
Step-by-step explanation:
Generally, the sum of angles in a triangle =
.
So that;
m<J + m<K + m<L = 
(5x - 2) + (2x - 2) + x = 
5x + 2x + x -2 -2 = 
8x - 4 = 
8x =
+ 4
8x = 184
x = 
x = 
Thus,
m<J = (5x - 2)
= 5(23) - 2
= 
m<K = (2x -2)
= 2(23) - 2
= 
m<L = x
= 
Answer:
The standard error of the mean = 5.14 mins
Step-by-step explanation:
Number of random sample (n) = 20
Mean(X) = 31.25 mins
Standard deviation (α) = 23.7 mins
Standard error of mean =
standard deviation / √sample size
= 23.7/√20
= 23.7/4.4721
= 5.14 mins
Answer:
C
Step-by-step explanation:
A
(m² - 3m + 2) / (m² - m)
we see due to a little bit of experience with expressions and multiplications of expressions that
(m² - 3m + 2) = (m - 2)(m - 1)
(m² - m) = m(m - 1)
so,
(m - 2)(m - 1) / (m(m - 1)) = (m - 2) / m
so, that's not it.
B
(m² - 2m + 1) / (m - 1)
we see again
(m² - 2m + 1) = (m - 1)(m - 1)
so,
(m - 1)(m - 1) / (m - 1) = m - 1
so, that's not it.
C
(m² - m - 2) / (m² - 1)
we see again
(m² - m - 2) = (m - 2)(m + 1)
and
(m² - 1) = (m + 1)(m - 1)
so,
(m - 2)(m + 1) / ((m + 1)(m - 1)) = (m - 2) / (m - 1)
yes, that is the solution.
D
(2m² - 4m) / (2(m - 2))
2m(m - 2) / (2(m - 2)) = 2m/2 = m
no, that is not a solution.
Answer:
Answer is 18 degrees.
Step-by-step explanation: