Answer:
Step-by-step explanation:
In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.
The measure of the central angle QRS is 
1. Find the area of the whole circle:
2. Note that the whole circle is determined by the full rotation angle with measure 
radians. So,
So, write a proportion:
Cross multiply
Answer:
x = -11
Step-by-step explanation:
Let the Triangle be named 'ABC'
In Triangle ABC,
∠A = x + 51
∠B = 80 (Intersecting lines, Vertically opposite Angles)
∠C = 60 (Intersecting lines, Vertically opposite Angles)
∠A + ∠B + ∠C = 180 (Sum of angles of Triangle = 180)
x + 51 + 80 + 60 = 180
=> x + 191 = 180
=> x = 180 - 191
=> x = -11
Answer:
G
Step-by-step explanation:
The origin in a graph is the point (0, 0) where x and y are both 0. If you move 4 units left, x is -4. And if you go down 2 units, y is -2. So the ordered pair would be (-4, -2)
X + k y = 1
k x + y = 1 / * ( - k )
----------------
x + k y = 1
- k² x - k y = - k
--------------------
x - k² x = 1 - k
x ( 1 - k² ) = 1 - k
x = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
y = 1 - k( 1 - k )/( 1 - k² )
y = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
a ) For k = - 1 this system has no solution.
b ) For k ≠ - 1 and k ≠ 1, the system has unique solution:
( x , y ) = ( 1/ (1 + k) , 1/( 1 + k ) ).
c ) For k = 1, there are infinitely many solutions.
Answer:
Part A) 82% of $5.00 is $4.10.
Part B) Less, because $5.00 is 2x as much as $2.50, therefore anything over 50% would be less, and anything under would be more.
