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
The answers are f = 2 and p = -2
Answer:
X=98°
Step-by-step explanation:
53° + 45° = 98
98-180= 82
every triangle is always equal o 180°
so... 53°+ 45°+ 82° = 180
to find x you need to subtract 82 from 180 which is 98
<em>remember its important to find the inner degree before the outer.</em>
The expression 
means "all the numbers stricktly greater than -4"
Since the number line is oriented with positive direction going to the right, a number is greater than another if its sits to its right.
So, we want all the numbers to the right of -4, excluded -4 itself.
So, the answer is D.
Probability that the first lot sold will be less than two acres = number of lots less than two acres / total number of lots = 6/10 = 3/5
Probability that the second lot sold will be less than two acres = remaining number of lots less than two acres / remaining total number of lots = 5/9
Required probability = 3/5 x 5/9 = 15/45 = 1/3
