25points for this question Given: AB ≅ BC and AO ≅ OC OK − angle bisector of ∠BOC Find: m∠AOK
1 answer:
- AB and BC are congruent (given)
- AO and OC are congruent (given)
- BO is congruent with itself (reflexivity)
Taken together, these three facts imply that triangles AOB and COB are congruent (side-side-side congruence postulate).
Now, it's not exactly clear whether A and C lie on the same line (it's possible that the figure is not drawn to scale). If they do, then both angles AOB and COB are right angles, so angle BOK has measure 45º, and so .
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Answer:
The amount is $2137.24 and the interest is $237.24.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A = P
A = total amount P = principal or amount of money deposited, r = annual interest rate n
= number of times compounded per year t = time in years In this example we have
P = $1900 , r = 4% , n = 1 and t = 3 years
After plugging the given information we have
A = 1900
A = 1900 · 1.0
A = 1900 · 1.124864
A = 2137.24
STEP 2: To find interest we use formula A = P + I, since A = $2137.24 and P = $1900 we
have:
A = P + I
2137.24 = 1900 + I
I = 2137.24 − 1900
I = 237.24