In the diagram, bisects ABC. Find mABD and mDBC

Angle ABD =  45 degrees

Angle DBC =  45 degrees

Step-by-step explanation:

If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:

angle ABD = Angle DBC

9 x + 9 = 12 x - 3

solve for x by subtracting 9x from both sides,

9 = 3 x - 3

and adding 3 to both sides:

9 + 3 = 3 x

12 = 3 x

divide both side by 3 to isolate "x":

12/3 = x

x = 4

And now we can find the value of each angle:

Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees

Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees

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step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet