Answer:
d. 1/4
Step-by-step explanation:
The common ratio will be the ratio of any two adjacent terms:
(3/12)/(3/3) = (1/4)/1 = 1/4
= 3x + 9x = 6x + 42
= 3x + 9x - 6x = 42 ( transposing +6x from LHS to RHS changes +6x to -6x )
= 12x - 6x = 42
= 6x = 42
= x = 42 ÷ 6 ( transposing ×6 from LHS to RHS changes ×6 to ÷6 )
= x = 7
Let us check whether we have found out the correct value of x or not by placing 7 in the place of x :
= ( 3 × 7 ) + ( 9 × 7 ) = 6 × 7 + 42
= 21 + 63 = 42 + 42
= 84 = 84
= LHS = RHS
Hence proved we have derived the correct value of x .
Therefore , the value of x = 7 .
Answer:
It means turning 180 degrees to the left
Step-by-step explanation:
A function z=f(x,y) has two partial derivatives and y. These derivatives correspond to each of the independent variables and can be interpreted as instantaneous rates of change (that is, as slopes of a tangent line). Similarly, ∂z/∂y represents the slope of the tangent line parallel to the y-axis.
Explanation:
The vertical angles at C are congruent with each other, so we have the necessary conditions to invoke the SAS congruence postulate:
∆BCA ≅ ∆ECD
BA ≅ ED by CPCTC (corresponding parts of congruent triangles are congruent)