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.
Since there is 101 Tickets,
Let S + A = 101
1.50S + 2.50A = $186.50
Adults + Students = 101
$186. 50 = $2.50 Adults + $1.50 Students
Answer is 35 Adults, and 66 Students.
Hope that helps!!!
Yes, the cost of membership is proportional to the number of months because for every 1 month it's $35 for membership fees
Answer:
x=63
Step-by-step explanation:
The two interior angles add up the the exterior angle, so 51+x+12=2x. From there, solve to get x=63. Hope this helped!
Answer:
y = 2x + 3
Step-by-step explanation:
the slope is 2 so the line parallel will have a slope of 2
y-9 = 2(x-3)
y-9= 2x - 6
y = 2x +3
