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Alex Ar [27]
3 years ago
11

Solve for x in the diagram below.

Mathematics
2 answers:
Rama09 [41]3 years ago
7 0

Answer:

x = 35

Step-by-step explanation:

x = 35, because first you have to add all your like factors. Then you'd get 2x + 110 = 180, afterwards you'd subtract 110 from both sides. Then divide 2 on both sides. Leaving you with x = 35.

kogti [31]3 years ago
4 0

Answer:

x=75

Step-by-step explanation:

A triangle is 180° in total and the equation was (2x+30)° if you subtract 30 from 180 you get 150 if you divide that by 2 you get 75.

Answer: 2(75) + 30° =180°

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3 years ago
In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. There is someone with a very bad
diamong [38]

Answer: 12,972,960

Step-by-step explanation: There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways

The 2nd has a choice among 13 ways

The 3rd has a choice among 12 ways

The 4th has a choice among 11 ways

The 5th has a choice among 10 ways

The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways

But the 3 (that formed one group) could seat among themselves in 3!

or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

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3 years ago
Rewrite in simplest terms: -8(7y-8)-3(7y-7)
AfilCa [17]

Answer:

−77y+85

I hope I helped!

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2 years ago
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