What is the value of X in the figure below? In this diagram.

Work Shown:

Because we have similar triangles, we can form the proportion below to isolate x.

(AC)/(BC) = (CD)/(AC)

(15)/(20) = (x)/(15)

15*15 = 20x cross multiply

225 = 20x

20x = 225

x = 225/20

x = (5*45)/(5*4)

x = 45/4

its definatley   this on your answer choice?

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions