Question

Teorema de Tales. Me ajudem !?!

Answer 1

1)

$\frac{AB}{BN}=\frac{AP}{PB}\\\\\frac{3x-1}{10}=\frac{4x+2}{15}\\\\\frac{3x-1}{2}=\frac{4x+2}{3}\\9x-3=8x+4\\9x-8x=4+3\\\\\boxed{x=7}$

2)

$\frac{ED}{AB}=\frac{DC}{BC}\\\\\frac{40}{20}=\frac{50}{20-x}\\\\2=\frac{50}{20+x}\\40+2x=50\\2x=50-40\\2x=10\\\\\boxed{x=5}$