A company has a New Year's Eve party and is going to donate a television, a refrigerator and an x-box among its 30 workers. How many different ways can the three gifts be distributed if only one prize will be given per person?

they will have to choose 3 people and give the three people an item each. so one would get the xbox, the other would recieve the fridge, and the final gets the TV.

Step-by-step explanation:

Ur welcome and I hope this helps

BRAINLIEST PLZ

x = 24; m<6 = 79

Step-by-step explanation:

Lines A and B are parallel. Corresponding angles of parallel lines cut by a transversal are congruent. Angles 3x + 7 and 6 are corresponding angles. They are congruent.

m<6 = 3x + 7

Angles 6 and 4x + 5 are a linear pair. Angles in a linear pair are supplementary, so their measures add to 180.

m<6 + 4x + 5 = 180

but m<6 = 3x + 7, so we substitute m<6 with 3x + 7, obtaining the equation

3x + 7 + 4x + 5 = 180

Now we solve the equation above for x.

7x + 12 = 180

7x = 168

x = 24

Now that we have a value for x, we substitute into an expression for the measure of angle 6.

m<6 = 3x + 7 = 3(24) + 7 = 72 + 7 = 79

x = 24; m<6 = 79