Answer:
x = 8
Step-by-step explanation:
In the figure attached ΔABC is similar to ΔCDE
By theorem of similarity of the triangles, corresponding sides of the similar triangles will be in the same ratio.
[tex]\frac{AB}{DE}=\frac{AC}{CD}[/tex]
[tex]\frac{30}{18}=\frac{(2x-1)}{(x+1)}[/tex]
[tex]\frac{5}{3}=\frac{(2x-1)}{(x+1)}[/tex]
By cross multiplication
5(x + 1) = 3(2x -1)
5x + 5 = 6x - 3
5x - 6x + 5 = -3
-x + 5 = -3
-x = -3 - 5
-x = -8
x = 8
Therefore, x = 8 is the answer.
