Drag a statement or reason to each box to complete this proof. given: quadrilateral abcd with m∠a=(7x)° , m∠b=(5x)° , m∠c=(7x)° , and m∠d=(5x)° . prove: x = 15

2.

Statement

m∠A + m∠B + m∠C + m∠D = 360°

Reason

The sum of interior angles of a quadrilateral is 360°

3.

Statement

(7x)° + (5x)° + (7x)° + (5x)° = 360°

Reason

Substitution property

4.

Statement

24x =  360

Reason

Combine like terms

the 3rd option is right

step-by-step explanation:

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.