
Considering the diagram.
is shown to be acute, so
.
Angles in a triangle add to 180°, so
.
Using the law of cosines,

Answer:
36
Step-by-step explanation:
1^3 + 2^3 + 3^3 = 1 + 8 + 27 = 36
Answer:
1/3
Step-by-step explanation:
A tail is on one side of the coin, and there are three, so 1/3
Answer:
f(x)=2*(1/2)^x -1
Step-by-step explanation:
The -1 moves the graph down 1
The *2 moves the figure to the right 2
Answer is 105 degrees.
Explanation:
Given two parallel lines AB and CD and a transversal cutting the two lines.
We know that when a transversal cuts two parallel line,
i) corresponding angles would be equal
ii) Interior angles total to 180
iii) alternate angles are equal.
In the picture given we have corresponding angles as
(2,6) . Hence angle 2 = angle 6.
Angle 6 = 75 (given)
Hence angle 2 =75.
Angles 1 and 2 are supplementary because they form a linear pair.
Hence angle 1 = 180-75
Angle 1 =105