Step-by-step explanation:

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When considering similar triangles, we need congruent angles and proportional sides.
Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.
"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.
"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).
"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.
To conclude, the first option is sufficient to prove similarity (AAA)
Let us try to formulate the expressions one by one.
let the number be x.
Step 1:
six time the number is 6*x = 6x
Step 2:
product of the number and -3 is -3x
Step 3:
now let us make equation for it:

adding 3x on the left side,


dividing right side by 9
x=45/9 = 5
So the number is x=5
2^x-2=16
+2 +2
——————
2^x=18
(Log)(2))=log (18)
X=log(18)
————-
Log(2)
X=4.169925
Answer:
it is the third option because -3.2 is greater than -5.4
Step-by-step explanation: