Question

!!100!! POINTS PLEASE HELP

Answer 1

Explanation:

1. Create a porportianal equation. ab/ad=bc/de

2. plug in the variables for each line segment. 10/x+10=6/10

3. multiply each side by x + 10. (6x+60)/10=10

4. Multiply each side by 10. 6x+60=100

5. simplify. 6x=40 3x=20

6. divide each side by 3. x=20/3

(Sorry about my last answer)

Answer 2

`\sf x = 6(2)/(3) \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)`

Build a proportional equation:

`\rightarrow \sf (AB)/(AD) = (BC)/(DE)`

`\rightarrow \sf (10)/(x+10) = (6)/(10)`

`\rightarrow \sf 10(10) = 6(x+10)`

`\rightarrow \sf 100 = 6x+60`

`\rightarrow \sf 40= 6x`

`\rightarrow \sf x = 40/6`

`\rightarrow \sf x = (20)/(3)`

`\rightarrow \sf x = 6(2)/(3)`