Theorem: a line parallel to one side of a triangle divides the other two proportionately. in the figure below, segment de is parallel to segment bc and segment ef is parallel to ab. which statement can be proved true using the given theorem? which statement can be proved true using the given theorem? a) segment bf = 9 b) segment bd = 18 c) segment bd = 20 d) segment bf = 24

right

step-by-step explanation:

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