Answer: The angle is 105 degrees. This angle along with the 75 degree angle make a straight line , 180-75 = 105 degrees
Answer:
x > -1
(-1, infinity)
Step-by-step explanation:
Answer:
![3.5](https://tex.z-dn.net/?f=3.5)
Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle,
, where
,
, and
are the three sides of the triangle and
is the angle opposite to
.
Let
be the side opposite to the 20 degree angle.
Assign variables:
Substituting these variables, we get:
![c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}](https://tex.z-dn.net/?f=c%5E2%3D4%5E2%2B7%5E2-2%284%29%287%29%5Ccos%2020%5E%7B%5Ccirc%7D%2C%5C%5Cc%5E2%3D16%2B49-56%5Ccos%2020%5E%7B%5Ccirc%7D%2C%5C%5Cc%5E2%3D12.377213236%2C%5C%5Cc%3D%5Csqrt%7B12.377213236%7D%3D3.51812638147%5Capprox%20%5Cboxed%7B3.5%7D)
Therefore, the shortest side of this triangle is 3.5.
Answer:
B, C E and F
Step-by-step explanation:
The inequality is x > -30
the numbers belonging to the solution are all on the heavy line.
Note -30 is not included because of the clear circle on -30
also -44 is not on the heavy line.