A bike wheel is shown. Chords I J and L K intersect at point M. The length of I M is 16 centimeters, the length of M J is 7 centimeters, the length of L M is 4 centimeters, and the length of M K is x. LK goes through the center of the wheel pictured. Find the diameter of the wheel. Use the intersecting chords theorem to write the equation . The diameter of the wheel is .

The first drop down is 4x=(7)(16)
The second drop down is 32

The diameter of the wheel is 32 centimeters

Step-by-step explanation:

we know that

The intersecting chords theorem states that the products of the lengths of the line segments on each chord are equal.

so

In this problem

substitute the given values

solve for x

Remember that

LK goes through the center of the wheel

That means----> LK is a diameter

therefore

The diameter of the wheel is 32 centimeters

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: