Answer: 
Step-by-step explanation:
We need to apply the following identity:

Then, applying this, you know that for
:

We need to remember that:
and 
Therefore, we need to substitute these values into
.
Then, you get:



Answer:
85000 x 0.03 = 2550 (per year)
2550 x 13 = 33150
85000 + 33150 = 118150
Step-by-step explanation:
Hope that helped! Have a nice day!
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:
24
Step-by-step explanation:
Check attachment for explanation... hope it helps :)
54 x 1
2 x 27
3x 18
4 x 14
6 x 9