Answer:
A. [tex]\bold{a=\dfrac92\ ,\quad b=\dfrac{15}2}[/tex]
Step-by-step explanation:
The segment 6 is dividing the large triangle to similar triangles, so:
[tex]\dfrac a6=\dfrac b{10}=\dfrac68[/tex]
Therefore:
[tex]\dfrac a6=\dfrac68\\\\8a=36\\\\a=\dfrac{36}8=\dfrac92[/tex] and [tex]\dfrac b{10}=\dfrac68\\\\8b=60\\\\b=\dfrac{60}8=\dfrac{15}2[/tex]
