Answer: 1st blank = Corresponding Angles Theorem, 2nd blank = Reflexive Angles Property, 3rd blank = 7.5
Explanation:
I'm not sure what is underneath the blanks, but I'm pretty sure that these are the answers.
The corresponding angles theorem is when a line crosses two parallel lines, the corresponding angles are congruent.
The reflexive angles property says that any angle x is congruent to angle x
For the third blank, I lined the proportions up
, which then we need to cross multiply (the diagonal numbers should be multiplied). This would give 30x=224.4, and the we divide, giving x=7.48, meaning line segment BF would equal 7.5 (rounded to the nearest tenth). I'm not sure what's underneath that blank, but I think that's the correct answer.
Hope that helped.
:)