Answer:
x = 9/8
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
AB BC
---- = -----------
AD ED
x 1
x+9 9
Using cross products
9*x = 1(x+9)
9x = x+9
Subtract x from each side
9x-x = x+9-x
8x = 9
Divide by 8
8x/8 = 9/8
Take the triangle as,
→ AB/AD = BC/ED
→ x/x+9 = 1/9
Now by using cross products,
→ 9 × x = 1(x+9)
→ 9x = x+9
Now subtract x from both sides,
→ 9x-x = x+9-x
→ 8x = 9
Then divide by 8 from both sides,
→ 8x/8 = 9/8
→ x = 9/8
So, the value of x is 9/8.
