Answer:
3/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
A rectangle is inscribed in a circle of radius r.
Radius of the circle is 'r' . the diameter of circle is 2 times radius is 2r
The diameter of the circle becomes the diagonal of the rectangle.
The one part of the rectangle forms a triangle with hypotenuse 2r
Triangle is a special 30:60:90 degree angle
the ratio of the special triangle is 
Hypotenuse is '2r' , so the ratio becomes
So the width of the rectangle is 'r' and length of the rectangle is 
Perimeter = 2 times length + 2 times width
Answer:
Step-by-step explanation:
The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.
QS = √(1 - 5)² + (3 - 3)² = 16
RT = √(3 - 3)² + (4 - 2)² = 4
Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.
Let us check if the diagonals are perpendicular.
Slope of QS = (3 - 3)/(5 - 1) = 0/4
Slope of RT = (2 - 4)/(3 - 3) = - 2/0
The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is
D. QRST is none of these because its diagonals are neither congruent nor perpendicular.
Answer:
90 degrees
Step-by-step explanation:
Angle DMC is vertical angles with angle AMB. Vertical angles always have the same degree measure.
Since angle AMB = 90 degrees, we know that because DMC = AMB, then angle DMC is also 90 degrees.
Hope this helps!
Answer: 64
Step-by-step explanation:
