In δabc, ad and be are the angle bisectors of ∠a and ∠b and de║ab. if m∠ade is with 34° smaller than m∠cab, find the measures of the angles of δade.

The measures of angles of Δ ADE are, m∠ ADE = m∠DAE= 34° and m∠DEA = 112°

Step-by-step explanation:

Here, AD and BE are the angle bisectors of ∠A and ∠B

Therefore, m∠BAD = m∠DAE = m∠ CAB/2 -------(1)

And, m∠ABE = m∠ EBD

Now, DE║AB

Therefore,  m∠BAD = m∠ ADE ( By the alternative interior angle theorem)

⇒ m∠ CAB/2 =m ∠ ADE -----------(2)

But given, m∠ CAB - m∠ ADE = 34°

⇒ m∠ CAB - m∠ CAB/2 = 34°

⇒m∠ CAB/2 = 34⇒ m∠CAB = 68°

⇒ m∠ ADE = 68°/2 = 34° ( By equation (2) )

And, m∠DAE = 34°

Since, in Δ ADE,

m∠ ADE + m∠DAE + m∠DEA = 180°

⇒ m∠DEA = 112°

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.

so what is the problem what are they asking you to solve

step-by-step explanation:

so what is the problem what are they asking you to solve