Answer:
DE = 6 cm
Step-by-step explanation:
Let DE = x cm.
Since DE is parallel to AB therefore by the alternate interior angles theorem, m∠BAD = m∠ADE and m∠ABE = m∠DEB ............(1)
As AD is an angle bisector of ∠A, therefore m∠EAD = m∠DAB ; Since BE is an angle bisector of ∠B ⇒ m∠ABE = m∠EBD.
Therefore, from (1) We get , m∠EAD = m∠ADE and m∠EBD = m∠BED.
So, the triangles ADE and EDB are then isosceles with AE = ED and ED = DB.
So AE = DE = DB = x, and since the perimeter of ABDE is 30 cm, then
12 + x + x + x = 30
⇒ 12 + 3x = 30
⇒ x = 6
Hence, the length of DE is 6 cm.
Answer:
The equation is c=25h+30 and the answer is 205
Step-by-step explanation:
Plug in 7 for h.
The area of the entire sector is 
The area of the triangle OAB is 
.
So, the area of the segment is 
10 × $150 = $1500
88 × $85.50 = $7524
1500 + 7524 = $9024 a day.
9024 × 6 = $54,144 (the answer)
Hope this helps!
Answer:
Infinitely many solutions (the lines are identical)
Step-by-step explanation:
Let's start by getting each equation into slope intercept form (y=mx+b)
-14x-14y=28
-14x-28=14y
-x-2=y
and
7x+7y= -14
7x+14= -7y
-x-2=y
We can see that these two lines are identical which means that there are an infinite amount of answers
