Respuesta :

TheLazyNobita

Answer:

In triangle ABC and triangle ADE

angle A = angle A (common)

anhle ABC = angle ADE

By AA , triangle ABC similar to triangle ADE

Thus

AB/AD = BC/DE

10/(10+x) = 6/10

60 + 6x = 100

6x = 40

x = 6.67

devishri1977

Answer:

Step-by-step explanation:

ΔABC & ΔADE are similar triangles

[tex]\frac{AD}{AB}=\frac{DE}{BC}\\\\\frac{10+x}{10}=\frac{10}{6}\\\\[/tex]

Cross multiply,

6*(10+x) = 10*10

6*10 + 6*x = 100

60 + 6x = 100

6x = 100 - 60

6x = 40

x = 40/6

x = 6.67