Find mDCAˆ.
A. 92
B. 145
C. 159
D. 113

9514 1404 393

  C.  159°

Step-by-step explanation:

The exterior angle at B is half the difference of the measures of the arcs it intercepts:

  (3x +19)° = 1/2((17x -3)° -91°)

  6x +38 = 17x -94 . . . . . . . . . . multiply by 2, divide by °

  132 = 11x . . . . . . . . . . . . . add 94-6x

  x = 12 . . . . . . . . . . . . divide by 11

Then long arc AD is ...

  arc AD = (17(12) -3)° = 201°

Arc DCA is the rest of the circle:

  arc DCA = 360° -201° = 159°

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.