A probability experiement is conducted in which the sample space of the experiment is S=[1,2,3,45,,6,7,8,9,10,11,12,13,14 ,15]. Let event A= {6,7,8,9}. and Event B={12,13,14}. Assume that each outcome is equally likely. List the outcomes in A and B. Are A and B mutually Exclusive?
A. (6,7,8,9,12,13,14) yes
B. (6,7,8,9,12,13,14): no
C. no
D. yes

Yuto and hila attempted to solve the same inequality. their work is shown below. which statement is true about the work shown above? yuto is correct because he isolated the variable correctly and reversed the inequality symbol. yuto is incorrect because he should not have reversed the inequality symbol. hila is correct because she isolated the variable correctly and reversed the inequality symbol. hila is incorrect because she should not have reversed the inequality symbol.

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Could somebody me with this radical simplification?