Explanation

A number is a multiple of 5 if it ends in 0 or 5.

Among the given options, 735 ends in 5, so 5 is a factor of 735.

Explanation

The symbol "≤" represents "less than or equal to".

Explanation

The geometric mean (GM) of two numbers is the square root of their product:

GM = √(9 × 25)

GM = √225

GM = 15

Explanation

The formula for the interior angle of a regular polygon is (180° × (n - 2)) / n, where n = 5 for a pentagon.

Substituting n = 5, we get (180 × 3) / 5 = 108° per angle.

Explanation

The square root of 256 is 16, which has 2 digits.

Counting the digits in 16 confirms that the answer is 2.

Explanation

Given y ∝ 1/x², we can write:

y = k/x²

Step 1: Find k

When y = 4 and x = 3:

4 = k/3²

k = 4 × 9

k = 36

Step 2: Find x when y = 9

9 = 36/x²

x² = 36/9

x² = 4

x = 2

Explanation

The formula for the perimeter of an equilateral triangle is P = 3 × side.

Given P = 15 cm, solving 15 ÷ 3 = 5 cm.

Explanation

To solve this problem, find the rate at which the men weave cloth:

15 men weave 120 meters in a day

Rate = 120 meters / 15 men = 8 meters per man per day

Now, find the total cloth woven by 35 men:

35 men × 8 meters per man per day = 280 meters

Explanation

Supplementary angles add up to 180°, so set up an equation:

(3x + 5) + (9x - 5) = 180°

Combine like terms:

12x = 180°

Divide both sides by 12:

x = 15°

Explanation