Answer:
Option B.
Step-by-step explanation:
If two lines are parallel then their slopes are always same.
Following this rule we can find the slope by the given pairs of coordinates of the options.
If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.
Slope of y - axis = ∞
Option A). Slope = 
= 
= 
= 775
Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.
Option B). Slope of the line passing through
and
will be
= 
= ∞
Therefore, line passing though these points is parallel to the y axis.
Option C). Slope of the line passing through
and (7.2, 5.4)
= 
= 0
Therefore, slope of this line is not equal to the slope of y axis.
Option B. is the answer.
A conjugate angle is 360°, 360-70=290!
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:
1.375
Step-by-step explanation: