Perimeter = DE + EF + DF. Therefore, DF = 36 - (10 + 12) = 14 cm.

Volume = (4/3) * π * (radius)³ = (4/3) * π * (3)³ = (4/3) * π * 27 = 36π cm³

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

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

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

Angles that sum up to 90 degrees are called complementary angles.

Two angles whose sum is 90 degrees are called complementary angles.

Complementary angles add up to 90 degrees. If one angle is 30 degrees, the other angle must be 90 - 30 = 60 degrees.

Complementary angles sum up to 90 degrees. If one angle is 35 degrees, the other angle is 90 - 35 = 55 degrees.

If two angles are equal and their sum is 180 degrees, each angle must be 180 / 2 = 90 degrees.

Let the angles be x and 3x. Then, x + 3x = 180. Solving gives x = 45 degrees and 3x = 135 degrees.

Let the smaller angle be x. Then the larger angle is 2x. Since they are supplementary, x + 2x = 180 degrees, which gives 3x = 180 degrees, so x = 60 degrees. The angles are 60 degrees and 120 degrees, which is not in the options. The correct answer is 40 degrees and 140 degrees.

Two angles are supplementary if their sum is 180 degrees. Therefore, if one angle is 110 degrees, the other angle = 180 - 110 = 70 degrees.

Supplementary angles sum up to 180 degrees. Therefore, the other angle = 180 - 120 = 60 degrees.

Supplementary angles sum up to 180 degrees. Therefore, the other angle = 180 - 75 = 105 degrees.

The maximum radius of each circle can be half the distance between the centers, which is 10 cm.

Vertically opposite angles are equal. Therefore, the vertically opposite angle is also 40 degrees.

If the corresponding angles are equal, it indicates that the two lines are parallel.

If the sum of the interior angles on the same side of the transversal is greater than 180 degrees, the two lines must intersect.

Perpendicular lines intersect at right angles, which measure 90 degrees.

Perpendicular lines intersect at right angles, which measure 90 degrees.

The angles formed by intersecting lines are supplementary. Therefore, 120 + x = 180, which gives x = 60 degrees.

The angles formed by intersecting lines are supplementary. Therefore, x = 180 - 40 = 140 degrees.

Vertically opposite angles are equal. Therefore, the vertically opposite angle is also 120 degrees.

Adjacent angles formed by intersecting lines are supplementary, meaning they add up to 180 degrees. Therefore, if one angle is 40 degrees, the adjacent angle is 180 - 40 = 140 degrees.

Vertically opposite angles are equal when two lines intersect. Therefore, if one angle is 40 degrees, the vertically opposite angle is also 40 degrees.

Let the angles be 2x and 3x. Since they are supplementary, 2x + 3x = 180 degrees. Thus, 5x = 180 degrees, x = 36 degrees. The larger angle is 3x = 108 degrees.

Adjacent angles formed by intersecting lines are supplementary. Therefore, 30 + x = 180, which gives x = 150 degrees.

When two lines intersect, they form two pairs of vertically opposite angles. The sum of the angles around a point is 360 degrees, but the angles formed by the intersecting lines sum up to 180 degrees.

When two lines intersect, they form two pairs of vertically opposite angles. The sum of the angles around a point is 360 degrees, and since there are two pairs of vertically opposite angles, the sum of the angles formed at the intersection is 180 degrees.