Answer:
10 degrees
Step-by-step explanation:
The total area of the triangle will equal 180 degrees.
Firstly add 108 and 48 to get a total of 156.
Now add the 14 from (x+14). You will get 170.
Since the total would be 180 degrees, you subtract 170 from 180.
180-170=10!!!
Step-by-step explanation:
the dimension for the output isn't correct.
when u multiply 2x2 matrix by 2x1 matrix, the output matrix must have dimensions of 2x1
(1) Vertical asymptote: 
(2) Domain: 
(3) X intercept:
and Y intercept : 
(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.
Explanation:
The parent function is 
The transformed function is 
(1) Vertical asymptote:
The vertical asymptote of a function can be determined by equating

Thus, 
The vertical asymptote is 
(2) Domain:
The domain of a function is the set of all independent x-values.

Thus, 
The domain of a function is 
(3) X and Y intercepts:
To determine the x intercept, let us substitute y=0 in 

Thus, the x intercept is 
To determine the y intercept, let us substitute x=0 in 

Thus, the y intercept is 
(4) To determine the transformation:
The transformed function
is shifted 4 units to the left and shifted 1 unit downwards.
1. The problem statement tells you to find "the area of the hexagonal face".
2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.
3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.
4. The formula for the area of a circle in terms of its radius is
... A = πr²
5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is
... A = (3√3)/2·r²
6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.
7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.
8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.
9. The area of the hexagon is
... A = 3√3/2·(8 mm)² = 96√3 mm² ≈ 166.277 mm²
10. The area of the circle is
... A = π·(4 mm)² = 16π mm² ≈ 50.265 mm²
11. The area of the hexagonal face is approximately ...
... 166.277 mm² - 50.265 mm² = 116.01 mm²