Answer:
x=4
Step-by-step explanation:
we know that
The two triangles of the figure are similar by AA Similarity Theorem
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
[tex]\frac{12}{12+4}=\frac{5x-2}{6x}[/tex]
solve for x
[tex]12(6x)=16(5x-2)\\72x=80x-32\\80x-72x=32\\8x=32\\x=4[/tex]
