A museum has 639 pieces of African art in its collection. This is 55 fewer pieces of art than one-third of the art pieces the m

Answer:

The equation for the line is

Step-by-step explanation:

Let A denote Area and C stand for Cost, we can deduce that:

For an area of square feet, the cost amounts to

If , then,

Since the cost equation represents a function of area, this establishes a linear connection, necessitating the formulation of the line's equation.

Where:

m denotes the slope of the line

b indicates the intercept with the C axis..

We possess two coordinates:

(700, 30000)

(1500, 54000)

Using these points, we calculate the slope via the formula:

Consequently, the equation concludes with:

To find b, we substitute the point (700, 30000) into the equation

Thus

The linear equation's graph is depicted in the provided image

Answer:

Angle x = angle 115°.

Step-by-step explanation:

Given: We have two parallel lines intersected by a transversal.

To find: The value of x.

Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.

Thus, angle x = angle 115, being corresponding angles.

Therefore, angle x = angle 115.

2(2w-5) + 2w = 50

4w - 10 + 2w = 50

6w - 10 = 50

6w = 60

w = 10

The length is calculated as 2(10) - 5 = 20 - 5 = 15

I hope this is useful!!

The Pythagorean theorem is a foundational principle. Given that 2 and 5 represent the lengths of the legs while c denotes the hypotenuse, the relevant equation would be stated as such, corresponding to the first option.