Answer:
Point C is in the interior of angle ABD.
Answer:
y=0, x=1
Step-by-step explanation:
6x-3y= -6 ...... equation 1
y =2x+2 ..... equation 2
subtract 2x from both sides
y-2x=2x-2x+2
y-2x=2
6x-3y= -6
y-2x=2
Rearrange
6x-3y= -6 ........x1
-2x +y=2............x3
6x-3y= -6
-6x +3y=2
0y=0
y=0
substitute y=0 in equation 1
6x-3xo= -6
6x= -6
x-6/6
x = -1
If she wanted to buy new utensils she could buy 108 spoons and 261 knifes then she would have 2,006 forks, spoons, and knifes. Or she could donate 261 forks and 153 spoons and have 1,745 of each utensils.
I'm going to assume that the ' 7.51 ' is the angle expressed in radians.
So this is just like any other unit conversion exercise.
You know that 180 degrees = pi radians.
Divide each side by pi radians, and you have
180 degrees / pi radians = 1 .
Great ! Now take the angle you have ... 7.51 radians ...
and multiply it by ' 1 '.
(7.51 radians) x (180 degrees / pi radians) =
<em> </em> (7.51 x 180 / pi) degrees =<em> 430.29 degrees</em>
As you ( I ) worked through this problem, a very useful number
fell out . . . It's 180/pi = 57.296 , or just <em>57.3</em> is close enough.
Here's how you can use that number:
-- 1 radian = <u>57.3</u> degrees
-- 1 degree = 1/57.3 of a radian
-- Got some radians ? Multiply by <u>57.3</u> to get degrees.
-- Got some degrees ? Divide by <u>57.3</u> to get radians.