Question

Help me with this question. 10 points!!!!!

Answer 1

x = 4

Explanation:

if a line is parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally.

line EF is parallel to side CD of the triangle and intersects the other 2 sides , then

`(CE)/(EG)` =
`(DF)/(FG)` ( substitute values )

`(6)/(x+8)` =
`(5)/(2x+2)` ( cross- multiply )

6(2x + 2) = 5(x + 8) ← distribute parenthesis

12x + 12 = 5x + 40 ( subtract 5x from both sides )

7x + 12 = 40 ( subtract 12 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4