Answer:
The correct option is B.
Step-by-step explanation:
According to AAS congruence rule, two triangles are congruent if two angles and a non included side are congruent to corresponding angles and side of another triangle.
We need two angles and a non included side, to use AAS postulate.
In option A, two sides and their inclined angle are congruent, therefore these triangles are congruent by SAS postulate and option A is incorrect.
In option B, two angles and a non included side are congruent, therefore these triangles are congruent by AAS postulate and option B is correct.
In option C, two angles and their included side are congruent, therefore these triangles are congruent by ASA postulate and option C is incorrect.
In option D, all sides are congruent, therefore these triangles are congruent by SSS postulate and option D is incorrect.
Split this figure into 3 shapes: 2 triangles and 1 trapezoid
Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units
Area of the polygon = 7 + 10.5 + 18 = 35.5 square units
Okay, here we have this:
Considering the provided information, we are going to calculate the requested probability, so we obtain the following:
So to calculate the probability of the conjunction of two events we will substitute in the following formula:
Replacing:
P(wearing brown shoes or tennis shoes U sneakers)=(30+58-8)/100
P(wearing brown shoes or tennis shoes U sneakers)=80/100
P(wearing brown shoes or tennis shoes U sneakers)=0.8
Finally we obtain that the probability that a randomly selected teacher is wearing brown shoes or tennis shoes/sneakers is 0.80.
I think that the answer would have to be 7,863. I'm not sure if I did this right or not but all I did was subtract the two numbers and I got 7,863.
