Answer:
x<-8
Step-by-step explanation:
four more than twice a number = 4+2X
is less than negative twelve = <-12
4+2X<-12
(4-4)+2X< -12-4
2x<-16
X<-8
Answer:
- Angle 'a' is an alternating exterior angle with one angle in the triangle and therefore congruent to one angle in the triangle formed by lines m, x, and y.
- Angles 'b' and 'c' are vertical angles with the other two angles in the triangle and therefore congruent to two other angles in the triangle
Step-by-step explanation:
Vertical angles are angles that are equal to each other but in opposite direction. The angles b and c have vertical angles on the triangle Q while alternate exterior angles are equal angles that lie on different lanes cutting through an axis.
Angles on a plane can be congruent if they are vertical equals or alternating exterior angles.
Answer:
Average rate of change=-3
Step-by-step explanation:
The average rate of change is given by the relation between the values of f(x) and x, in two different points as follows:
In this case, 
Therefore,
Answer: Option 'a' is correct
Step-by-step explanation:
Since we have given that
Length of parallelogram =17.25 mm
Width of parallelogram =5.065 mm
As we know the formula for " Area of parallelogram"
Area of parallelogram is given by
Hence, option 'a' is correct .
Answer:
(x + 1)(5x - 3)
Step-by-step explanation:
Given
5x² + 2x - 3
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 5 × - 3 = - 15 and sum = + 2
The factors are + 5 and - 3
Use these factors to split the x- term
5x² + 5x - 3x - 3 ( factor the first/second and third/fourth terms )
= 5x(x + 1) - 3(x + 1) ← factor out (x + 1) from each term
= (x + 1)(5x - 3) ← in factored form
