Answer:
y = x - 5
Step-by-step explanation:
The equation of the line parallel to the line
is
.
That is, equations of parallel lines differ only by constant.
The given equation is 
This is written as 
Therefore, the equation of the line parallel to this line is given by 
The value of c is determined using the point given.
Substituting the point (3,-2) we get:


Therefore, the equation of the line becomes y = x - 5.
Answer:
x=72 and the exterior angle is 154
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +10) form a straight line so they make 180 degrees.
y + 2x+10 =180
Solve for y by subtracting 2x+10 from each side.
y + 2x+10 - (2x+10) =180 - (2x+10)
y = 180-2x-10
y = 170-2x
The three angles of a triangle add to 180 degrees
x+ y+ 82 = 180
x+ (170-2x)+82 = 180
Combine like terms
-x +252=180
Subtract 252 from each side
-x+252-252 = 180-252
-x = -72
Multiply each side by -1
-1*-x = -72*-1
x=72
The exterior angle is 2x+10. Substitute x=72 into the equation.
2(72)+10
144+10
154
Answer:
the constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation:
Notice the following pattern:
2 - 0 = 2
6 - 2 = 4
12 - 6 = 6
20 - 12 = 8
It's reasonable to assume that consecutive terms in the sequence differ by increasing multiples of 2, so that for the next number (call it x) we expect to see
x - 20 = 10 ==> x = 30
and for the number after that (call it y) we would see
y - x = y - 30 = 12 ==> y = 42
He is 30th place behind white tail deer, warthog, grizzly bear, and house cat