Answer:
A true
Step-by-step explanation:
Rectangles have parallel sides and 90 degree angles.
Squares have parallel sides and 90 degree angles and equal length sides
Square are a subset of rectangles
All squares are rectangles
Answer:
6.3 ft.
Step-by-step explanation:
This requires the pythagorean theorem: a^2+b^2=c^2 where "a" and "b" are legs and c is the hypotenuse(longest side of the triangle which is opposite to the 90 degree angle.) If we fill the equation where c is the ladder length(11) and "a" is the distance from the house(), and "b" is the height, 9^2+b^2=11^2 or 81+b^2=121. This is equivalent to b^2=40. b=6.3 when rounded to the nearest tenth.
Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
So the "new" line will go through this point.
Onto the slope:
so the slope is
m = -4. That means that the perpendicular slope is
Now we're ready to write the equation:
and
and finally,

The answer is B
Hope this helps;)