Answer:
D
Step-by-step explanation:
According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.
The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.
A is incorrect because the similarity can be determined.
Number of students in senior class is 130
<em><u>Solution:</u></em>
Given that Every student in the senior class is taking history or science
85 of them taking both history and science
106 seniors takes history
109 seniors takes science
To find: number of students in senior class
Let A be the set of the students of the senior class that take history
Let B be the set of students of senior class that they science
The number of students in senior class is given by:

Where,
A = 106 and B = 109 and |A n B| = 85

Thus number of students in senior class is 130
Bags = 8+4+4=16
firs step
p1=4/16
second step
p2=3/15
P=4/16*3/15=1/4*1/5=1/20=0,05 - correct answer