Assume that,
The two angles of one triangle are congruent to two angles of a second triangle.
To prove: The third angles of the triangles are congruent.
Since, two angles of one triangle are congruent to two angles of a second triangle.
Therefore,
Adding these two we get,
Cancelling 180 on both sides, we get
Hence, if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are congruent.
Answer:
Histogram B best represents the data.
Step-by-step explanation:
student: Hours:
a 0.6
b 0.5
c 2.5
d 2.5
e 1.5
f 2.5
g 0.5
h 1.5
I 1.5
j 2.5
k 2.5
l 2.5
m 1.5
n 1.5
o 1.5
Since clearly from the table we could see that none of the student spend more than 3 hours in listening music each day.
Hence, the graph in option A and option D are incorrect.
Now we arrange our data in the interval of 1 unit to get:
Interval Number of students
0-1 3
1-2 6
2-3 6
Hence, the histogram that represents this data is:
Histogram B
