30 POINTS GEOMETRY QUESTION

Answer:
2.25
Step-by-step explanation:
x/1 = (9+x)/5
9 + x = 5x
9 = 4x
x = 2.25
Answer:
x = 9/4
Step-by-step explanation:
We know that the triangles are similar
We can use ratios to solve
x x+9
----- = ----------------
1 5
Using cross products
5x = 1(x+9)
5x = x+9
Subtract x
5x-x = x+9-x
4x= 9
Divide by 4
4x/4 = 9/4
x = 9/4