Find the value of x. show your work

x = 60

Step-by-step explanation:

The given triangle is an equilateral triangle. This is so because all the angles are equal. This also means that all the sides are equal.

The sum of the angles on a straight line is 180 degrees. Assuming each angle of the equilateral triangle is y degrees, it means that

y + 2x = 180

y = 180 - 2x

The sum of the angles in a triangle is 180 degrees. It means that

y + y + y = 3y = 180

This means that

3(180 - 2x) = 180

540 - 6x = 180

6x = 540 - 180 = 360

x = 360/60 = 60

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752