Answer:
<BAC = 36degrees
Step-by-step explanation:
Find the diagram attached
The sum of the interior angle is equal to the exterior. Hence;
<B + <C = <DAB
6x+40 + x+20 = 180 - 3x
7x+60 = 180 - 3x
7x+3x = 180 - 60
10x = 120
x = 120/10
x = 12
Get <BAC
<BAC = 180 - (180-3x)
<BAC = 180-180+3x
<BAC = 3x
<BAC = 3(12)
<BAC = 36degrees
Answer:
<em>y=-x+18</em>
Step-by-step explanation:
<u>Equation of a line</u>
A line can be completely defined by two points. Suppose we know the line passes through points A(x1,y1) and B(x2,y2).
The equation for a line can be written as:
Where m is the slope and b is the y-intercept. Both values can be determined by using the coordinates of the given points.
First, determine the slope with the equation:
The points are: A(15,3) B(3,15)
The equation of the line can be written as:
Now, use any point to determine the value of b. Substitute (15,3):
Solve for b:
b=18
The equation of the line is
y=-x+18
The slope is -1 and the y-intercept is 18.
