Answer:
The 3 angles are 62 2/3, 44 2/.3 and 72 2/3 degrees.
Step-by-step explanation:
let x be the first angle then the the second angle is x - 18 and the third angle = x + 10
The 3 angles add up to 180 so:
x + x - 18 + x + 10 = 180
3x = 180 + 18 - 10 = 188
x = 188/3 = 62 2/3 degrees.
x - 18 = 44 2/3
x + 10 = 72 2/3.
Answer:
28
Step-by-step explanation:
Cross multiply
18k = 12 x 42
18 k = 504
k = 504/18
k = 28
Answer:
6 and 7
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x) , that is
f(3) = 2(3) = 6
To evaluate g(f(3)), substitute f(3) = 6 into g(x)
g(6) = 6 + 1 = 7
Not much can be done without knowing what

is, but at the least we can set up the integral.
First parameterize the pieces of the contour:


where

and

. You have


and so the work is given by the integral


The equation for this problem would be:
x+y = 16
Rearranging the equation, it can be expressed as:
y = 16 - x
To obtain ordered pairs, replace random values of x up to 16 to find the value of y. The ordered pairs are tabulated and the graph is shown in the attached picture.