Find the measures of the supplementary angles of their measures are in ratio of 22: 23

  Measures of the supplementary angles = 88° and 92°

Explanation:

 Two angles that add to 180 degrees is called as supplementary angles.

  Angles are in the ration 22:23

  So, we have

               22a + 23a = 180

               45 a = 180

                    a = 4

      Angles are 22 x 4 = 88 ° and 23 x 4 = 92°

  Measures of the supplementary angles = 88° and 92°

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8