Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
Angle sum property of a triangle: According to this property, the sum of all interior angles of a triangle is 180 degrees.
Using the angle sum property of triangle, we get




Therefore, the value of <em>x</em> is 30 degrees.
Answer:
The required expression is 
Step-by-step explanation:
Let the number be x
We are supposed to write the algebraic expression of given statement
Double the number = 2x
Quotient of five and two =
Now we are given that Double the sum of a double the number and quotient of five and two
So, Sum of a double the number and quotient of five and two =
So, Double the sum of a double the number and quotient of five and two =
Hence The required expression is 
Answer:
16 and 48
Step-by-step explanation:
let the 2 integers be x and 3x ← ratio 1 : 3
Then
3x - x = 32 ← difference between the integers
2x = 32 ( divide both sides by 2 )
x = 16
and 3x = 3 × 16 = 48
Since magnitude of difference is 32
We can also express the difference as
x - 3x = 32
- 2x = 32 ( divide both sides by - 2 )
x = - 16
and 3x = 3 × - 16 = - 48
The 2 integers are 16 and 48 or - 16 and - 48
Answer:

Step-by-step explanation:
Rn(x) →0
f(x) = 10/x
a = -2
Taylor series for the function <em>f </em>at the number a is:

............ equation (1)
Now we will find the function <em>f </em> and all derivatives of the function <em>f</em> at a = -2
f(x) = 10/x f(-2) = 10/-2
f'(x) = -10/x² f'(-2) = -10/(-2)²
f"(x) = -10.2/x³ f"(-2) = -10.2/(-2)³
f"'(x) = -10.2.3/x⁴ f'"(-2) = -10.2.3/(-2)⁴
f""(x) = -10.2.3.4/x⁵ f""(-2) = -10.2.3.4/(-2)⁵
∴ The Taylor series for the function <em>f</em> at a = -4 means that we substitute the value of each function into equation (1)
So, we get
Or 