What number are listed in the stem and leaf plot above
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The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is C.
<h3>What is the triangle inequality theorem?</h3>The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
Given the length of the two sides of the triangle, therefore, we can write the inequalities,
8 + 5 > x ⇒ 13 > x
8 + x > 5 ⇒ x > - 3
5 + x > 8 ⇒ x > 3
Now, as per the inequality the value of x can lie between 3 to 13, but as the side needs to be greatest, therefore, the value of x will be 12.
Hence, the correct option is C.
Learn more about the Triangle Inequality Theorem:
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Answer:
.
Step-by-step explanation:
We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation , where c is number of copies still on hand and t days being available.
We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:
Now, we will use point-slope form of equation and substitute
and coordinates of point (9,50) as:
Therefore, our required equation would be .