In a triangle the midline joining the midpoints of two sides is parallel to the third side and half as long ⇒
2(3x + 2) = 2x + 20
6x + 4 = 2x + 20
6x - 2x = 20 - 4
4x = 16
x = 16/4
x = 4
midsegment = 3x + 2 = 3*4 + 2 = 12 + 2 = 14
Answer:
Step-by-step explanation:
3x + 5y = 7
Since that is our original form, let's convert it so that we can find the slope:
5y = -3x + 7
y = -3/5 x + y
To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:
m = 5/3
From here, we use the point-slope equation and then convert that into slope-intercept form:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 0)
y - 6 = 5/3x
