Question

20 points repost because no one answered. Geomertry question

Answer 1

x=2.25

Explanation:

ΔABC and ΔADE are similar.

∴ sides are proportional.

`(5)/(1) =(x+9)/(x) \\5=(x)/(x) +(9)/(x) \\5=1+(9)/(x)\\(9)/(x)=5-1\\(9)/(x)=4\\x=(9)/(4)=2.25`

Answer 2

x = 9/4

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