Answer:
every parallelogram is a square? False
every rectangle with four congruent sides is a square? True
every rectangle is a quadrilateral? True
every quadrilateral is a rectangle? False
Step-by-step explanation:
every parallelogram is a square?
A parallelogram has two opposite pairs of parallel lines and opposite congruent sides. A square needs to have 4 right angles and all sides need to be equal. In the restrictions of a parallelogram, these cannot be concluded, therefore parallelogram are not always squares.
every rectangle with four congruent sides is a square?
Square require 4 congruent sides and 4 right angles. Rectangles already have 4 right angles. If you add 4 congruent sides to the mix, it means that these rectangles are always squares.
every rectangle is a quadrilateral?
A quadrilateral is defined by a shape having 4 sides. Rectangles have 4 sides, so they fit into the category of quadrilaterals.
every quadrilateral is a rectangle?
A quadrilateral is a just a shape with four sides. We do not know if it has 4 right angles, so not every quadrilateral is a rectangle.
Answer: 1.50
Step-by-step explanation:
because i said so
Answer:
6 miles per hour
Step-by-step explanation:
I divided 2 1/2 miles by 5/12 hour and got 6 miles per hour
Answer:
the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is <em>0.125</em>.
Step-by-step explanation:
The given information is:
- length of the hour hand, l = 6 inches
- length of the minute hand, b = 8 inches
Therefore, since the tip of the minute moves from 12 to 3, it moved a distance of:
s₁ = r θ
s₁ = (8)(π/2)
s₁ = 4π inches
The hour hand moves 30 degrees / 60 = 1/2 degree in a minute.
Therefore, in 30 minutes the hour hand moves a distance of:
s₂ = r θ
s₂ = 6(30×1/2×π/180)
s₂ = π/2 inches
Therefore, the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is:
s₂ / s₁ = (π/2) / 4π
<em>s₂ / s₁ = 0.125</em>