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°

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.