∠1 and ∠2 form a linear pair. The measure of ∠2 is six more than twice the measure of ∠1. Find m∠2

122 degrees.

Step-by-step explanation:

The angles that make up a linear pair will always add up to 180 degrees. So we can assume that ∠1 + ∠2 = 180. Now, ∠2 = 2(∠1) + 6, so we can substitute that into the equation to get 3(∠1) + 6 = 180. Now can we subtract 6 from both sides to get 3(∠1) = 174. If we divide both sides by 3, we find out that ∠1 = 58. Now we can go back to the original equation, ∠1 + ∠2 = 180. We can substitute in 58 for ∠1 to get 58 + ∠2 = 180, and then subtract 58 from both sides to get ∠2 = 122. Hope this helps. : )

21

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b