Question

Solve for X
Please help

Answer 1

see below

Explanation:

based on Triangle proportionality theorem:

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

so 12:9 = 4:3

4x : 15 = 4:3

so x = 5

you can apply the same principles to #14

#15 is asking you for the full length

so 4 is double of 2

so the other segment is double of 5 = 10

so full length 3x+2 =10+4

so x =4

#16

6:3 = 2

so (x-2 ): (5-3) = 2

so x-2=4

x=6