Abcd is an isosceles trapezoid. if || , ac = 3x – 12, and bd = 2x + 4, solve for x

It is an isosceles trapezoid, and so it's two leg sides would be congruent.

AC ≅ BD

Set the two measurements equal to each other

3x - 12 = 2x + 4

Isolate the x. subtract 2x from both sides and add 12 to both sides (note equal sign. What you do to one side, you do to the other.)

3x(-2x) - 12 (+12) = 2x (-2x) + 4 (+ 12)

3x - 2x = 4 + 12

x = 16

16 is your answer for x

hope this helps

If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8