Answer:
x = 52
y = 38
Step-by-step explanation:
Angle x is supplementary to a 128º angle.
Supplementary angles add to 180
x+128 = 180
Subtract 128 from each side
x+128-128 = 180-128
x =52
Angle x and y are complementary.
Complementary angles add to 90
x+y =90
52+y =90
Subtract 52 from each side
52-52 +y = 90-52
y = 38
Answer:
3y=x-1 OR y=⅓x-⅓
Step-by-step explanation:
Lets call the equation y=-3x+7 line l1
the other line passing through (4,1) l2
If two lines are perpendicular,then the product of their roots=-1
That is m(l1)×m(l2)=-1
Slope of l1=-3 therefore slope of l2=-1÷-3=⅓
Now that we have determined the slope of l2 we move on to find it's equation using the point-slope form
y-y1=m(x-x1)
y-1=⅓(x-4)
3y-3=x-4
3y=x-4+3
3y=x-1 OR y=⅓x-⅓
Acute isosceles triangles because they are all under 90 degrees
<u>Answer:</u>
$142500
<u>Step-by-step explanation:</u>
We are given that the resident of a certain University receives a salary that is three times the salary of one of the department heads.
Assuming
to be the salary of the department head, if the total of the two salaries is $190000, we are to find the salary of the president of the University.
We can write an equation in terms of
:



Salary of the president of the University =
= $142500
This sequence is decreasing by 3 each time. =)