ABCD is a rectangle. The length of is 8 units, and m∠ABD is 67°.

The length of is
units, and m∠CBD is
°.

the required answer is 23°

Step-by-step explanation:

you can apply basic property of rectangle to solve this question.

each angle of a rectangle is 90°

now, ∠ABD + ∠CBD = 90°

or, ∠CBD = 90° - 67° ( given ∠ABD = 67°)

= 23°

5

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.