A number is divisible by 15 if it is divisible by both 3 and 5. 30 meets both criteria.

28 is divisible by 7 (28 ÷ 7 = 4). The other numbers are not.

A number is divisible by 8 if the last three digits form a number that is divisible by 8. 64 is divisible by 8.

7 is not a factor of 60, as 60 cannot be divided evenly by 7.

35 is not a multiple of 6, while 18, 24, and 30 are all multiples of 6.

To check divisibility by 11, subtract the last digit from the rest of the number. For 154, 15 - 4 = 11, which is divisible by 11. The others are divisible.

55 is not divisible by 12, as it does not meet the criteria of being divisible by both 3 and 4.

A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits of 22 (2 + 2 = 4) is not divisible by 3.

40 is not divisible by 7, while 21, 28, and 35 are all multiples of 7.

A number is divisible by 8 if the number formed by its last three digits is divisible by 8. 90 is not divisible by 8.

A number is divisible by 9 if the sum of its digits is divisible by 9. The sum of the digits of 50 (5 + 0 = 5) is not divisible by 9.

In decimal, '54' = 32, '45' = 29, '63' = 39, '36' = 22. '63' is the largest.

'72' in base-8 is 58 in decimal, which is larger than the others.

The Roman numeral system is not positional, as it does not use place value to determine the value of digits.

The passage indicates that wealth often determines access to quality education, establishing a direct influence.

Complementary angles are two angles whose sum is 90 degrees. All the given pairs meet this criterion.

Adjacent angles are defined as angles that share a common vertex and a common side.

Adjacent angles are defined as angles that share a common vertex and a common side.

Supplementary angles are two angles that add up to 180 degrees. An acute angle (less than 90 degrees) and an obtuse angle (more than 90 degrees) can add up to 180 degrees.

The first pair has the same slope (2/3) and thus represents parallel lines.

The first pair represents parallel lines, which means they will never intersect, hence no solution.

All pairs have the same remainder when divided by 6: 8 mod 6 = 2, 14 mod 6 = 2; 10 mod 6 = 4, 16 mod 6 = 4; 12 mod 6 = 0, 18 mod 6 = 0.

The LCM of 4 and 9 is 36.

The HCF of 15 and 28 is 1, making them coprime.

The HCF of 12 and 18 is 6, as both numbers are divisible by 6, while the other pairs have higher HCFs.

The GCF of 15 and 28 is 1, making them coprime, while the other pairs share common factors.

The phrase 'a cycle of disadvantage' reflects the ongoing nature of systemic inequality discussed in the passage.

The phrase 'We must strive for equity' indicates a call to action, urging readers to take steps towards addressing inequalities.

The distance from the origin to a point (x, y) is given by √(x² + y²). The point (0, 1) has a distance of 1, which is the smallest.

The point (2, 3) is the midpoint of the segment joining (1, 2) and (3, 4), making it equidistant from both.