Answer:
Option (3)
Step-by-step explanation:
From the figure attached,
AB and CD are two chords intersecting at O.
m∠AOD = 37°
m∠AOC + m∠AOD = 180° [Since these angles are supplementary angles]
m∠AOC = 180° - 37°
= 143°
By the theorem of intersecting chords,
Measure of angle formed is the half of the sum of measures of the arcs intercepted by the angle and vertical angle.
m∠AOC =
143° =
143° = x
Therefore, Option (3) will be the answer.
Answer:
The expression represents the number
rewritten in a+bi form.
Step-by-step explanation:
The value of is
in term of
Substituting the value,
Product of two negative numbers is always positive.
Now in term of
Substituting the value,
Product of one negative and one positive numbers is always negative.
Now can be written as follows,
Applying radical multiplication rule,
Now, and
Now substituting the above values in given expression,
Simplifying,
Collecting similar terms,
Combining similar terms,
The above expression is in the form of a+bi which is the required expression.
Hence, option number 4 is correct.
