If the diagonals of a quadrilateral are equal, it can be concluded that the quadrilateral is a rectangle.

The area of a rhombus can be calculated using the formula (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².

Using the Pythagorean theorem, c = √(12² + 16²) = √(144 + 256) = √400 = 20.

The distance between the foci is given by 2c, where c = √(a^2 - b^2). Here, c = √(5^2 - 3^2) = √16 = 4, so the distance is 2c = 8.

Perimeter = 2 * (length + width) = 2 * (4 + 6) = 20 cm

A triangle with sides 3 cm, 4 cm, and 5 cm satisfies the Pythagorean theorem (3² + 4² = 5²), thus it is a right triangle.

Since 5² + 12² = 13², it is a right triangle.

Using Pythagoras theorem, 7² + 24² = 49 + 576 = 625 = 25², so it is a right triangle.

Check using the Pythagorean theorem: 15² = 9² + 12², 225 = 81 + 144, 225 = 225. It is a right triangle.

A triangle with sides in the ratio 3:4:5 satisfies the Pythagorean theorem, thus it is a right triangle.

In an isosceles right triangle, the angles opposite the equal legs are both 45 degrees.

The maximum length of the third side is less than the sum of the other two sides, so it can be 22 cm.

If the lengths of two tangents from an external point are equal, the point must be outside the circle.

Since A is to the left of B and E is to the right of A, it follows that A must be to the left of C.

'CLOX' is not a valid English word, while the others can be formed from the letters in 'COMPLEX'.

The letters in 'COMPLEX' can be rearranged to form 'EXAMPLE'.

Torque is directly proportional to the lever arm; if the lever arm is doubled, the torque also doubles.

Setting y = 0 gives 2x = 6, thus x = 3. The point of intersection is (3, 0).

Setting y = 0 gives 2x = 6, thus x = 3. The x-coordinate of the intersection point is 3.

Set y = 0: 2x + 6 = 0; x = -3.

Set y = 0 in the equation: 3x = 12 => x = 4. The point is (4, 0).

Set y = 0 in the equation: 3x = 12 => x = 4.

Setting x = 0 gives 4y = 12, thus y = 3. The point of intersection is (0, 3).

Rearranging gives y = -3/4x + 3. The slope is -3/4.

Rearranging gives y = -3/4x + 3. The y-intercept is 3.

Setting y = 0 in the equation gives 3x + 12 = 0, thus x = -4.

Setting x = 0 gives -4y + 12 = 0, thus y = -3. The point of intersection is (0, -3).

The slope of the line is given by -A/B = -3/-4 = 3/4. Parallel lines have the same slope.

Rearranging gives y = (3/4)x + 3. The slope of the line is 3/4, so the slope of the parallel line is -3/4.

Parallel lines have the same slope. The slope of the given line is 3/4, which is the same as the slope of 6x - 8y + 24 = 0.