Answer:
d
Step-by-step explanation:
The triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{2x+1}{x+4}[/tex] = [tex]\frac{40}{25}[/tex] = [tex]\frac{8}{5}[/tex] ( cross- multiply )
5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )
10x + 5 = 8x + 32 ( subtract 8x from both sides )
2x + 5 = 32 ( subtract 5 from both sides )
2x = 27 ( divide both sides by 2 )
x = 13.5 → d
