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SVETLANKA909090 [29]
4 years ago
15

A student states that the lengths of 3, 2, and 1 can be the sides of a triangle because 3 plus 2 is greater than 1. Determine if

the student is correct. Explain your reasoning.
Mathematics
1 answer:
IrinaVladis [17]4 years ago
3 0
The student is incorrect. 
According to the triangle inequality theorem the longest side must be less than the sum of the other 2 sides.
Source:
http://www.1728.org/trianinq.htm


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The school that Alberto goes to is selling tickets to a fall musical. On the first day of ticket sales
vaieri [72.5K]

Answer:

<em>The price of both tickets is $12 each</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = price of a senior citizen ticket

y = price of a child ticket.

On the first day of ticket sales, the school sold 6 senior citizen tickets and 2 child tickets for $96. Setting up the first equation:

6x + 2y = 96

Dividing by 2:

3x +  y = 48         [1]

On the second day, the school sold 6 senior citizen tickets and 4 child tickets for $120:

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Dividing by 2:

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Subtracting [2] and [1]:

2y - y = 60 - 48

y = 12

From [1]:

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The price of both tickets is $12 each

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