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°

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew