Use substitution
-x + 4 = 1/3x + 8
4 = 4/3x + 8
-4 = 4/3x
x = -4 * 3/4
x = -3
Then plug x into one of the original equations. In this case y = -x + 4 is the easiest.
y = -(-3) + 4
y = 7
The length of the base is 6. You can use the formula b=a/h to find the base. <span />
Answer:
see below
Step-by-step explanation:
Assuming s and t are parallel
The two angles are same side interior angles and same side interior angles add to 180 when the lines are parallel
4x-12 + 120 = 180
4x -12 = 60
4x = 72
x = 18
That means 4x -12 = 4(18) -12 = 60
Vertical angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal. All pink dot angles are equal.
Pink dots are 60 degrees
All blue lines are equal. They are 120 degrees
The area of a trapezoid can be found with the formula where b1 and b2 are the bases and h is the height. Let's plug in the values that we know and solve for h.