Question

Solve for x can someone please answer please help

Answer 1

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

Answer 2

Explanation:

ΔABC & ΔADE are similar triangles

`(AD)/(AB)=(DE)/(BC)\\\\(10+x)/(10)=(10)/(6)\\\\`

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