Answer:
The angle F of the triangle DEF measures 105 degrees.
Step-by-step explanation:
Given that triangle DEF has an angle D measuring 25 degrees and an angle E measuring 50 degrees, to determine what is the measure of angle F in degrees, knowing that the sum of the internal angles of every triangle gives a total of 180 degrees, we must perform the following calculation:
180 - 50 - 25 = F
130 - 25 = F
105 = F
Therefore, the angle F of the triangle DEF measures 105 degrees.
Answer:
The answer is C.
Step-by-step explanation:
You have to apply Logarithm Law,

So for this question :

The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that
m∠ABC and m∠CBD = (3x − 6).
So, you're equation should be (3x - 6) + (3x - 6) = 180.
You would then solve to get 6x - 12 = 180, 6x = 192, x = 32
x=32, and we used the Linear Pair Theorem (C)
The volume of the triangle will be V=1.6875 cm^3