(4,-12) perpendicular y=14

x = 4

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 14. Its slope is 0. A line perpendicular to this one will have a slope that is undefined, which is a vertical line.

Vertical lines have this equation: x = #

In this case, your x-value has to include 4.

Therefore, a line perpendicular to y = 14 that includes (4, -12) will have to be: x = 4.

Hope this helps!

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3