Answer:
Option (D)
Step-by-step explanation:
Given quadrilateral in the circle is a cyclic quadrilateral.
By using the property of cyclic quadrilateral,
"Sum of each pair of opposite angles is 180°".
In the given cyclic quadrilateral,
d + 57° = 180°
d = 180 - 57
d = 123°
Similarly, c + 31° = 180°
c = 180° - 31°
c = 149°
Therefore, Option (D) will be the answer.
Simply subtract all the spent money from his budget:
$119-$45.50-$26.25-$15.25= $32
Therefore, he has $32 left for other expenses!
Hope this helps!
0.225, 23%, 1/4
Step my step
23% = 0.23
1/4 = 0.25
Answer: a) 
Step-by-step explanation:
Since we have given that

a.) Find the inverse of f(x) and name it g(x).
Let f(x) = y
So, it becomes
Switching x to y , we get


b) . Use composition to show that f(x) and g(x) are inverses of each other.

Similarly,

so, both are inverses of each other.
c) Draw the graphs of f(x) and g(x) on the same coordinate plane.
As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x
And both f(x) and g(x) are symmetry to y=x.
∴ f(x) and g(x) are inverses of each other.