Answer:
$150
Step-by-step explanation:
x + 0.08x = 162
1.08 x = 162
x = 150
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut point with the y axis
By definition, if two lines are perpendicular then the product of their slopes is -1.
If we have: 

Thus, the equation is of the form:

We substitute the point:

Finally, the equation is:

Answer:

Answer:
70 degrees
Step-by-step explanation:
Moving from one hour number to the next (12 to 1, 3 to 4, etc) moves the hand of the clock 30 degrees. Using this, we know that the hour hand moved 60 degrees to get to the hour number 2. Then, the angle the hour hand moved because of the minute hand can be calculated by doing (20/60)*30=10. So the final answer would be 70 degrees.
Answer:
x=1, y=4
Step-by-step explanation:
x+y=5 - (1)
y=3x + 1 (2)
Sub (2) into (1)
x + (3x +1)=5
4x=5-1
x=4 ÷4
=1
Sub x=1 into (2)
y=3(1)+1
= 4