Answer:
- The measure of reference angle is
. 
Step-by-step explanation:
Converting
to degrees,

This means
lies in Quadrant 4, and thus its reference angle is 
Since
lies in the fourth quadrant,
and
are negative.
Since
lies in the fourth quadrant,
is positive, and is equal to 
Answer:
hey
Step-by-step explanation:
let the age of man be x
400-3x=163
400-163=3x
237/3=x
x= 79
Answer:
The correct option is (D).
Step-by-step explanation:
A quadrilateral is a parallelogram if the following conditions are met:
- If two pairs of opposites are equal in length.
- If two opposite sides are parallel to each other and are equal.
- If the diagonals bisect each other in equal halves.
So, for a parallelogram the opposite sides are equivalent in length.
From the provided length of 4 sides of a quadrilateral, consider the sides provided by option D.
4, 9, 9, 4
Two sides are of length 4 units and two of 9 units.
According to condition 1, the sides {4, 9, 9, 4} can form a parallelogram.
Thus, the correct option is (D).
To answer this question you must know that there is a theorem called the "Two secants angle theorem", which establishes that the measure of an angle formed when two secants intersecting outside the circle is equal to 1/2 the difference of the two intercepted arcs.
Therefore, as you can see, the correct answer is the option B): B)<span>1/2 the difference of the intercepted arcs</span>
Answer: The number is 1.
Step-by-step explanation:
Let the number be x
5-x = 1+3x
or, 5 = 1+3x+x
or, 5 = 1+4x
or, 5-1 = 4x
or, 4x = 4
or, x = 4/4
so, x = 1