A) MRD and E) DMR are all valid triangle names for the triangle in the picture
a) triangle MRD
e) triangle DMR
The first angle measures 30 degrees, the second angle measures 60 degrees, and the third angle measures 90 degrees.
Let's first represent the first angle as x degrees.
According to the problem statement, the second angle is twice as large as the first. Therefore, the second angle is 2x degrees.
The third angle is three times as large as the first angle. Therefore, the third angle is 3x degrees.
Since the sum of angles in a triangle is always 180 degrees, we can set up the equation: x + 2x + 3x = 180.
Combining like terms, we get 6x = 180.
Dividing both sides of the equation by 6, we get x = 30.
Therefore, the first angle measures 30 degrees, the second angle measures 60 degrees, and the third angle measures 90 degrees.
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Answer:
9 M
Step-by-step explanation:
a^2+b^2=c^2
12^2+b^2=15^2
144+b^2=225
-144 -144
b^2=81
b=sqrt of 81
b=9