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:
It's the last choice.
Step-by-step explanation:
1. (3x - 2y)(3x -2y)
= 9x^2 - 12xy + 4y^2
The product is (9x^2 - 4y^2) (9x^2 - 12xy + 4y^2)
which is neither a difference of 2 squares or perfect square trinomial.
2. (3x - 2y)(3x + 2y)
= 9x^2 - 6xy + 6xy - 4y^2
= 9x^2 - 4y^2
and (9x^2 - 4y^2(9x^2 - 4y^2) is a perfect square.
Answer: -4/1 = 1/-4
= 1/-4
Just flip the fraction:)
Step-by-step explanation:
Answer:
x = 8.6603 m
Step-by-step explanation:
If x is the length of a side of the square, the area of the square will be x^2.
So, if the area of the square is 75 ft2, we can formulate the quadratic equation:
x^2 = 75
Now, solving the equation, we just need to make the square root of 75:
x = sqrt(75) = ±8.6603
x1 = 8.6603
x2 = -8.6603
Now, as x represents the length of a side of the square, and measurements can't be negative, we take only the positive value, so:
x = 8.6603 m
Answer:
not equivalent
Step-by-step explanation:
solve for x
4-5x=24
-5x=20
x = - 4
5x=20
x = 4
no they are not equivalent