X = 4y - 18
-3(4y - 18) + 12y =54
-12y + 54 + 12y = 54
54 = 54
c
Answer:
A recursive formula is a formula that defines each term of a sequence using preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence.
Step-by-step explanation:
Was that the definition you were asking or the question?
Given:
The figure of a quadrilateral ABCD.
To find:
The perimeter of the quadrilateral ABCD.
Solution:
In an isosceles triangle, the two sides and base angles are congruent.
In triangle ABD,
[Given]
is an isosceles triangle [Base angle property]
[By definition of isosceles triangles]
...(i)
In triangle BCD,
[Given]
All interior angles of the triangle BCD are congruent, so the triangle BCD is an equilateral triangle and all sides of the triangle area equal.
[Using (i)] ...(ii)
Now, the perimeter of quadrilateral ABCD is:



Therefore, the perimeter of the quadrilateral ABCD is 35 units.
We have been given that
. We are asked to rewrite the equation
in terms of m.
First of all, we need manipulate right side of our given equation.
We will factor out -3 from right side of equation as:

Upon substituting
in our equation, we will get:


Upon writing this equation in general form of equation, we will get:


Therefore, the equation
is equivalent to our given equation.