Solve for X 35 34.5 34 17
1 answer:
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Answer:
The rate of interest paid on the principal amount is 8%.
Step-by-step explanation:
Here, Principal Amount = $2,000
Time = 3 months = (3/ 12 ) Years = 0.25 years
Rate = R
Interest Amount = $40
Now, as we know :
Simple Interest =
⇒
or, R = 8%
Hence, the rate of interest paid is 8%.
Answer:
The proof is derived from the summarily following equations;
∠FBE + ∠EBD = ∠CBA + ∠CBD
∠FBE + ∠EBD = ∠FBD
∠CBA + ∠CBD = ∠ABD
Therefore;
∠ABD ≅ ∠FBD
Step-by-step explanation:
The two column proof is given as follows;
Statement Reason
bisects ∠CBE
Given
Therefore;
∠EBD ≅ ∠CBD Definition of angle bisector
∠FBE ≅ ∠CBA Vertically opposite angles are congruent
Therefore, we have;
∠FBE + ∠EBD = ∠CBA + ∠CBD Transitive property
∠FBE + ∠EBD = ∠FBD Angle addition postulate
∠CBA + ∠CBD = ∠ABD Angle addition postulate
Therefore;
∠ABD ≅ ∠FBD Transitive property.