Consider the parallelogram shown below.
The lengths of the sides are a and b.
The lengths of the diagonals are 2x and 2y.
Because the diagonals are both congruent and perpendicular, therefore there are two right triangles as shown.
Note that x = y.
Because x = y, each right triangle is isosceles and has the angles 90°, 45° and 45°.
From the Pythagorean theorem,
For one right triangle,
a² = x² + y² = x² + x² = 2x².
For the other right triangle,
b² = y² + x² = x² + x² = 2x²
Therefore
a² = b²
a = b
It follows that all sides of the parallelogram are equal and each angle is
45+45 = 90°
Therefore the parallelogram is a square.
Answer:
30
Step-by-step explanation:
Here, it is given that the Z – score corresponding to the score X = 45 is 1.5 and the Z – score corresponding to the score X = 40 is...
Z =
So:
1/ 1.5 =
and 1 =
. solve the both equations, we found out:
<=> S = 10
=> M = 30
Hence, mean is:
M = 45 -1.5S = 45 - 1.5 (10) = 30
Step-by-step explanation:
perimeter = 2*length + 2*width
area = length*width
perimeter = 64
Rectangular means all the corners have to be right angles.
If we say it can be a square, then...
perimeter = 4*side
64 / 4 = side
side = 16 meters
So the dimensions would be 16 m x 16 m
55+10.00x ≥ 150 x ≥ 9.5 hours I hope that helps
418,200 - 326,700 = 91,500