What is the product of 4.5 x 6.2 ?
1 answer:
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Answer:
- See below
Step-by-step explanation:
<u>Given:</u>
- Investment P = $20000
- Time t = 7 years
- Interest rate r = 5.5% = 0.055
a. <u>compounded semiannually, n = 2</u>
b. <u>compounded quarterly, n = 4</u>
c. <u>compounded monthly, n = 12</u>
d. <u>compounded continuously</u>
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.
