The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.
In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.
Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.
1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23
2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17
3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15
Hope it help!
Answer:
Supplementary, 39+5x=180, x=28.2
Step-by-step explanation:
So we know that a straight line is 180 degrees, therefore 52+(5x-13) must equal 180. This is a supplementary relationship. That's our equation, now we just have to solve.
52+5x-13=180
We can straight away combine numbers, giving us
39+5x=180
Now we subtract 39 from both sides, giving us
5x=141.
Now we will answer.
141/5=28.2=x
I'm not sure if this is right, but this is my answer :)
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(-4,0) (3,-5) I don't know if they mean two ordered pairs so I'm pretty sure this is right
