Given ΔADC and ΔAEB, What is AE?

As shown in picture,

EB is perpendicular with AC

DC is perpendicular with AC

=> EB // DC

Applying Thales theorem:

BC/AC = ED/AD

=> AD = ED x AC/BC = 72 x 88/55 = 115.2

=> AE = AD - ED = 115.2 - 72 = 43.2

Hope this helps!

:)

step-by-step explanation:

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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.