WEST is a parallelogram. If mze = (3x – 18)º, mzw find the value of y and mus.
(15y + 6)°, and m2T = (2x + 6),

9514 1404 393

  m∠W = m∠S = 126°

  m∠E = m∠T = 54°

  x = 24

  y = 8

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so we have ...

  ∠E = ∠T

  3x -18 = 2x +6

  x = 24 . . . . . . . . . add 18-2x

Then the measure of these angles (in degrees) is ...

 ∠E = ∠T = 2x+6 = 2(24) +6 = 54

__

The adjacent angle W is supplementary to either of these:

  ∠W = 180° -∠E

  15y +6 = 180 -54

  15y = 120

  y = 8

  ∠W = ∠S = 126°

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

35 is an outlier

step-by-step explanation: