Answer:
Option (3)
Step-by-step explanation:
By applying cosine rule in the triangle ABC,
BC² = AC² + AB² - 2(AC)(AB)cosA
5² = 3² + 7²- 2(3)(7)cosA
25 = 9 + 49 - 42cos(A)
25 = 58 - 42cos(A)
cos(A) = 
A = 
A = 38.21°
A ≈ 38°
Option (3) will be the correct option.
Answer:
See below, I will let graphing part to yourself.
Step-by-step explanation:
First function: domain: 
, range: ![(-\infty, -2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-2%5D)
, decreasing
Second function: domain: 
, range: , increasing
Third function: domain: 
, range: 
, increasing
Find the difference between each number:
-24/4 = -6
144/-24 = -6
The next number is multiplied by -6
You have the first 4 terms
5th term = -864 x -6 = 5184
6th term = 5184 x -6 = -31,104
7th term = -31,104 x -6 = 186,624
8th term = 186,624 x -6 = -1,119,744
Answer : The correct option is (A) 68.
Step-by-step explanation :
As we are given that:
LN = 6x - 5
LM = x + 7
MN = 3x + 20
Now we have to determine the value of MN.
According to the question:
LN = LM + MN
Now putting all the given values in this expression, we get:
6x - 5 = (x + 7) + (3x + 20)
6x - 5 = 4x + 27
6x - 4x = 27 + 5
2x = 32
x = 16
The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68
Therefore, the value of MN is 68.
