Answer:
(a) The total area of compound figure is
.
(b) The total perimeter of compound figure is 68.84 ft.
Step-by-step explanation:
Perimeter: The total distance covered by the figure.
Area: It is defined as the space occupied by the figure.
Given:
Length of rectangular figure = 19 ft
Breadth of rectangular figure = 12 ft
Radius of circle, r = 
Part (a):
Now calculating the total area of the compound figure.

Now putting all the given values in this formula, we get:

Part (b):
Now calculating the total perimeter of the compound figure.

Now putting all the given values in this formula, we get:

Answer:
180 - 92 - 41 = 47
There are not two similar congruent angle in the triangles.
Hope this helps!
Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
Answer:
The value of x = 6
Step-by-step explanation:
Given
To determine
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
here:
so substitute (x₁, y₁) = (x, -4)
, (x₂, y₂) = (2, 8) and m = -3
m = [y₂ - y₁] / [x₂ - x₁]
-3 = [8 - (-4)] / [2 - x]
-3 = [12] / [2-x]
-3 (2-x) = 12
-6+3x = 12
3x = 12+6
3x = 18
divide both sides by 3
3x/3 = 18/3
x = 6
Therefore, the value of x = 6