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Sever21 [200]
3 years ago
5

Someone plz help me with this???

Mathematics
1 answer:
Travka [436]3 years ago
7 0
Since LON is a straight angle, it equals 180 degrees. That makes LOM and MON supplementary angles. Thus, we know (7x-92) + (6x+12) = 180. Since both are positive, we can drop the parentheses.
7x - 92 + 6x + 12 = 180
Simplify: 13x - 80 = 180
Add 80 to both sides: 13x = 260
Divide both sides by 13: x = 20
Plug in: 7(20)-92
140 - 92
LOM is 48 degrees.
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Answer:

John need to get 293 in his next game to bring his average up to 183.

Step-by-step explanation:

John starts with N games played and averaging 177 points per game.

In game N+1, John scored 199 points.

\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\

So, John has now played (N+1) = 22 games.

We need to know what score John needs in game 23 to bring his average to 183.

\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\

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