Question

solve for x

Answer 1

what is the equation?

Answer 2

x=9

Answer 3

but how?you showed no kind of work...

Answer 4

2x+4 is equal to 1/2 44. 44/2=22 22-4=18 18/2=9

Answer 5

Imagine that the diagram depicts two separate triangles, one with a bottom of length 2x+4 and one with a bottom of length 44. You could show that these two triangles are "similar" by Side-Angle-Side. The triangle with a bottom of length 44 has side lengths that are all double the side lengths of the smaller triangle, as indicated by the hatch marks.

Knowing this, 44 must be double the value of 2x+4. Thus, 44 = 2(2x+4). Simplifying:

22 = 2x + 4

18 = 2x
9 = x

So the value of x is nine. Please let me know if any of this is confusing.