First, we need to find the slope of the line passing through points A and B using the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

Given the coordinates of points A and B as (0, 0) and (6, 3), we have:

slope = (3 - 0) / (6 - 0)
slope = 3 / 6
slope = 1 / 2

Next, we can use the point-slope form to find the equation of the line:

y - y₁ = slope × (x - x₁)

Using the coordinates of point A, we have:

y - 0 = (1 / 2)(x - 0)

Simplifying, we have the equation of the line:

y = (1/2)x

Now, we can find the value of y when x = 4:

y = (1/2)(4)
y = 2

So, the value of y is 2. The correct answer is B) 2.

To find the radius of the circle, we first have to find the distance between the endpoints of the diameter. We can use the distance formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Given the endpoints of the diameter are (-5, 2) and (3, -4), we have:

d = √((3 - (-5))² + (-4 - 2)²)
d = √((8)² + (-6)²)
d = √(64 + 36)
d = √100 = 10

Since the distance between the endpoints of the diameter is the diameter, the radius is half of the distance:

r = d / 2
r = 10 / 2
r = 5

So, the radius of the circle is 5. The correct answer is C) 5.

The area of a triangle can be found using the formula:

area = (1/2) × base × height

In a right triangle, the base and height are the legs of the triangle. In this case, the legs are 5 cm and 12 cm:

area = (1/2) × 5 × 12
area = (1/2) × 60
area = 30

So, the area of the triangle is 30 square centimeters. The correct answer is B) 30.

In a pair of parallel lines cut by a transversal, corresponding angles are equal, and alternate interior angles are also equal.

Given the measure of one of the corresponding angles is 50 degrees, the measure of the alternate interior angle will also be 50 degrees, since alternate interior angles are equal.

So, the measure of the alternate interior angle is 50 degrees. The correct answer is A) 50.

The sum of the interior angles of a polygon can be found using the formula:

sum = (n - 2) × 180°

where n is the number of sides of the polygon.

For a hexagon, the number of sides is 6:

sum = (6 - 2) × 180°
sum = 4 × 180°
sum = 720°

So, the sum of the interior angles of a hexagon is 720°. The correct answer is D) 720°.