Answer: m∡7 = 57° .
_________________________________
Explanation:
____________________
m∡7 = m∡1 ; SInce these angles are vertical; and vertical angles are congruent.
m∡1 + m∡2 = 180 ; since these angles are supplementary; and by definition; supplementary angles "add up" to 180.
Given: m∡2 = 123 ;
m∡1 + 123 = 180 ;
Since m∡1 = m∡7 ; and we wish to find: "m∡7" ; we can rewrite as:
_______________________________
m∡7 + 123 = 180 ; solve for "m∡7" ;
_______________________________
Subtract "123" from EACH SIDE of the equation:
_________________________________________
m∡7 + 123 - 123 = 180 - 123 ;
_________________________________________
m∡7 = 57° .
_________________________________________
Given:
Radius of circle = 12 units
Area of sector = 24π sq. units.
Central angle = x
To find:
The value of x.
Solution:
We have,



We know that, area of a sector is

Where,
is central angle, r is radius.




Multiply both sides by 360 degrees.


The value of x is 60 degrees.
Therefore, the correct option is A.
Answer:
x=60
Step-by-step explanation:
since f(x) =60 then y is f(x) and in the form y=x 60 is x
N=32/3as a fraction alternative form is n=10.6