to get the equation of a line, we simply need two points, say for the Red one ... notice in the graph the lines passes through (0,2) and (-1,6), so let's use those
now, for the Blue one, say let's use hmmm it passes through (0,2) and (1.6)
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:
y < 623.5
Step-by-step explanation:
Let the number be y
250yrs(1) - y < 3/5(1) + y
250 - y < 3/5 + y
combine the like terms
250 - 3/5 < y +y
250 - 3/5 < 2y
make 250 and 3/5 a single fraction first by finding the LCM of 5 and 1 which is 5. Multiply by their LCM.
(250/1)5 - (3/5)5
1250 - 3 < 2y
1247 < 2y
divide both sides by 2
y < 1247/2
y < 623.5