When a line passes through the two points 
, its slope is given by the formula 
In this question, a line L passes through the points 
So, its slope is given by 
When two lines are perpendicular, then the product of their slopes is -1.
Since, the slope of the line L is 
, so the slope of the line which is perpendicular to the given line L is 
as the product of 
.
We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.
√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30
Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches
Answer = 120 inches
Answer:
44°
Step-by-step explanation:
The sum of the angles in a triangle = 180°
In an isosceles triangle the base angles are equal, thus
base angle = 
= 
= 44°
