Answer:
D
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{DF}{DL}[/tex] = [tex]\frac{DE}{DK}[/tex] , substitute values
[tex]\frac{19x+5}{45}[/tex] = [tex]\frac{90}{50}[/tex] ( cross- multiply )
50(19x + 5) = 4050 ( divide both sides by 50 )
19x + 5 = 81 ( subtract 5 from both sides )
19x = 76 ( divide both sides by 19 )
x = 4 → D
