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PilotLPTM [1.2K]
2 years ago
10

Let (3x+24) represent the measure of an obtuse angle. What are the possible values of x?

Mathematics
2 answers:
avanturin [10]2 years ago
5 0
<span>180>3x+24>90 
 -24              -24
156>3x>66 
/3      /3    /3
52>x>22 
possible values of x are any number greater than 22, but less than 52 </span>
ra1l [238]2 years ago
3 0

Answer:

  22 < x < 52

Step-by-step explanation:

An obtuse angle has a measure between 90 and 180 degrees. This means ...

  90 < 3x+24 < 180

  30 < x+8 < 60 . . . . . . divide by 3

  22 < x < 52 . . . . . . . . subtract 8

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On Friday, 27 soccer fans are going to a soccer game. A ticket to the game costs $18 per person. Lunch for all 27 fans costs $17
kirza4 [7]

Answer: x=18(27)+172

Step-by-step explanation:

You have the following information given in the problem:

- The number of soccer fans that are going to a soccer game is 27.

- A ticket to the game costs $18 per person.

- The cost of the lunch for all 27 fans is $172.

- x represents the total cost of attending the game for all 27 fans.

Therefore, keeping the above on mind you can write the following expression that closely estimates the total cost of attending the game for all 27 fans:

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5 0
3 years ago
which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x?
kicyunya [14]
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Next, 2 more than the quantity 3 times x. The quantity of 3 times x is 3x and 2 more than that would be 3x+2. 

Now that we have our two equations, we need to multiply them together, which can be shown as (2x-3)(3x+2).

Then, multiply the two equations together using FOIL (multiply the first two terms, then the outside terms, then inside, and lastly, the last two terms): 2x times 3x, 2x times 2, -3x times 3x, and 2 times -3, which equates to 6x^2+4x-9x-6. 

Your final answer is 6x^2-5x-6. 
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2 years ago
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Answer: 6√2

Decimal Form:

8.48528137

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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