Given that,
KM bisects ∠LKJ.
m∠LKM = 4x + 12 and m∠MKJ = 6x - 6
To find,
The value of x.
Solution,
As KM bisects ∠LKJ. It would mean that,
m∠LKM = m∠MKJ
Putting the above values,
4x+12=6x-6
We can solve the above equations as follows :
4x-6x=-12-6
-2x=-18
x=9
Therefore, the value of x is equal to 9.
Answer:
x = - 7
Step-by-step explanation:
Given
- 2(x + 5) = 4 ← distribute the parenthesis by - 2
- 2x - 10 = 4 ( add 10 to both sides )
- 2x = 14 ( divide both sides by - 2 )
x = - 7
Answer:
m
2
Step-by-step explanation:
"at most" can translate to "less than or equal to," meaning m is less than or equal to 2.
A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.
Answer: The correct option is B) about 34%
Proof:
We have to find 
To find
, we need to use z score formula:
When x = 4.2, we have:


When x = 5.1, we have:


Therefore, we have to find 
Using the standard normal table, we have:
= 

or 34.13%
= 34% approximately
Therefore, the percent of data between 4.2 and 5.1 is about 34%
See the attached picture: