Can you please solve for x

x = 39

Step-by-step explanation:

let [180 - (31 + x)]   = 3rd angle inside triangle; simplified is '149 - x'

the (2x - 8) angle and '149 - x' angle are supplementary, thus add to 180

2x - 8 + (149 - x) = 180

2x + (-x) + (-8) + 149 = 180

x  + 141 = 180

x = 39

if x decreases by 4 then y increases by 10

step-by-step explanation:

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: