We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
Answer:
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Step-by-step explanation:
The length of the radius (r) to the nearest tenth is 13.2
<h3>What is Pythagoras theorem?</h3>
The theorem states that the square of the longest side is equal to the sum of the square of other two sides.
In order to determine the radius of the circle, we will use the theorem above to have:
AO² = AB² +r²
Given
AB = 15
AO = 20
Substitute
20² = 15² +r²
r² = 400 - 225
r² = 175
r = 13.2
Hence the length of the radius (r) to the nearest tenth is 13.2
Learn more on Pythagorean theorem here: brainly.com/question/343682
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Answer:
The dog is 20 inches tall now.
Step-by-step explanation:
Given that:
Height of dog when it was a puppy = 
inches
Height of dos now = 
than previous height
It means that we will add this height in the height of dog when it was a puppy.
Height of dog now = 
Height of dog = 
Height of dog = 20 inches
Hence,
The dog is 20 inches tall now.
Answer:
D
Step-by-step explanation:
The equation would be y = -2x+3. If we take y+2x=3, and subtract 2x from both sides, we get y = -2x+3, which is the right equation.
