One of the two supplementary angles is 1/3 the measure of the other. find the angles.

45 and 135

Step-by-step explanation:

If angles, with measurements a and b, are supplementary, then a and b have sum 180 degrees.

So we have the following equation so far:

a+b=180

Now we also have that one angle has a measurement that is 1/3 the value of the one.

So we also have 3a=b which means we are letting the angle whose measurement be a have 1/3 the value of b.

So lets plug the second equation into first giving us:

a+3a=180

Add like terms:

4a=180

Divide both sides by 4:

a=180/4

a=45

So b=3a=3(45)=135.

So the angles in question have measurement s 45 and 135.

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:

i believe the answer is letter c) 8

step-by-step explanation: