The diagonal d of a square is related to the side length s by the formula d = s√2. Therefore, s = d/√2 = 10√2/√2 = 10 cm. The area is s² = 10² = 100 cm².

If the diagonals of a quadrilateral are equal and bisect each other, it can be classified as a rectangle.

If the diagonals of a quadrilateral bisect each other at right angles, it indicates that the quadrilateral is a rhombus.

A kite has diagonals that bisect each other at right angles.

If the diagonals of a quadrilateral bisect each other, it is a property of parallelograms.

A quadrilateral with diagonals that bisect each other is a parallelogram, but it can also be a rectangle or rhombus.

If the diagonals of a quadrilateral bisect each other, it is a property of parallelograms.

A quadrilateral with diagonals that bisect each other is a parallelogram.

The difference between compound interest and simple interest for 2 years is given by SI * (r/100)^2. Setting this equal to $50 and solving gives Principal = $1200.

The difference between CI and SI for 2 years is given by P * (r^2)/100^2. Setting this equal to $50 and solving gives P = $1500.

The difference SI and CI for 2 years is given by P * r^2 / 200. Setting this equal to 50 gives P = $1500.

To solve for x, subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Rearranging the equation into slope-intercept form (y = mx + b) gives y = -2/3x + 4, where the slope (m) is -2/3.

Rearranging the equation to y = -2/3x + 2 shows that the slope is -2/3.

Adding 3 to both sides gives 2x = 10, and dividing by 2 gives x = 5.

Substituting x = 0 into the equation 2(0) + 3y = 6 gives 3y = 6, thus y = 2.

To find the y-intercept, set x = 0. The equation becomes -3y + 6 = 0, leading to y = 2.

To find the y-intercept, set x = 0. The equation becomes -4y + 12 = 0, leading to y = 3.

Rearranging to y = 4x - 8 shows that the y-intercept is -8.

'm' represents the slope of the line in the slope-intercept form of a linear equation.

To find the x-intercept, set y = 0. The equation becomes 0 = -1/2x + 3, leading to x = 6.

Substituting x = 4 into the equation gives y = -1/2(4) + 3 = -2 + 3 = 1.

To find the x-intercept, set y = 0: 0 = -2x + 5, which gives x = 2.5.

'm' in the equation of a line represents the slope, which indicates the steepness and direction of the line.

In the expansion of (x + y)^5, the term x^3y^2 corresponds to the 4th term, calculated using the formula C(5, 2)x^3y^2.

In the term x^4y^2, the sum of the exponents (4 + 2) must equal n, hence n = 6.

The sum of the exponents in the term x^4y^3 is 4 + 3 = 7, hence n must be 7.

To solve for x, subtract 5 from both sides to get 3x = 15, then divide by 3 to find x = 5.

The sum of the exterior angles of any polygon is 360 degrees. Therefore, the number of sides can be calculated as 360 / 30 = 12.

The exterior angle is equal to the sum of the two opposite interior angles. If the exterior angle is 120 degrees, the smallest interior angle can be calculated as 180 - 120 = 60 degrees.