Which property justifies this statement?

x−4=x−4x−4=x−4

reflexive property of equality

substitution property of equality

transitive property of equality

symmetric property of equality

Option A is correct.

Reflexive property of equality that justifies the statement x-4 =x-4

Explanation:

Given the statement: x-4 = x-4

Reflexive property of equality states that the value is equal to itself.

Further, we can say that this property states that for all real numbers, a =a.

Therefore, by definition of reflexive property of equality:

x -4 = x- 4

Therefore, the property of equality that justifies the given statement x-4 = x-4 is: Reflexive property of equality

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.