Because of rules of geometry we know that a+b=180 degrees so we can add the equations together and set that equal to 180 and solve
6x-48+4x+38=180
subtract 38 from both sides and add 48 to both sides
then add like terms
10x=170
and divide by 10 to get
x=17
A horizontal shift would be in the form <span><span>f(x±k)</span></span>
The area of a triangle is A= 1/2bh. Plugging in the values you know, 30= 1/2*12*h.
Solving for h,
30= 1/2*12*h
30= 6h
h=5
The height of the triangle is 5 units.
33-7r = 3(6-4r)
33 - 7r = 18 - 12r
33 -7r + 7r = 18 - 12r + 7r
33 = 18 - 5r
33 - 18 = 18 - 5r - 18
15/5 = 5r/5
3 = r
r = 3
