Answer:
Thus, the value of x in the given triangle is 55°
Step-by-step explanation:
Given - Dimensions of triangle and angles
of triangle
Find - Value of x
Solution - The value of x in the given triangle is 55°.
As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.
Thus, the mathematical expression of all the angles of a given triangle will be -
x + x + 80 = 190
2x + 80 = 190
2x = 190 - 80
2x = 110
x = 110/2
x = 55°
.
Answer:
Step-by-step explanation:
Area of Rectangle = Length x Breadth
=
8
Reduce the expression, if possibel, by cancelling the common factors
Answer:
x ∈ (-∞ , -2) ∪ (1, 3)
Step-by-step explanation:
The expression is already factored. Note that for the polynomial that appears in the numerator 
there are 2 roots:
For the polynomial that appears in the denominator there is 1 root:
Note that does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.
With these three roots we do the study of signs to find out when 
Observe the attached image
Note that:
when 
when 
when 
Finally, we have the solution:
x ∈ (-∞ , -2) ∪ (1, 3)
The point is located at : -1/2
