If two triangles are congruent (as per the given congruency statement), then the corresponding angles of both triangles are also congruent.
Therefore, if angle B = 145, then angle E is also 145.
Answer: C) 145
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Answer:
∆<em>LMN</em> ~ ∆<em>LQR</em>
Step-by-step explanation:
All you have to do is match their similar corresponding angles.
* These are congruent by the Angle-Angle Similarity Postulate, where at least two angles of both triangles are congruent, which in this case is ∠<em>L</em> [Vertical Angles Theorem] and ∠<em>Q</em> & ∠<em>M</em>. This obviously gives us our third side in each triangle, which must sum up to 180° altogether, therefore you have your answer.
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The compound interest formula:
A = P · ( 1 + r/n ) ^(n t)
where: P = $50, r = 0.06, n = 12, n t = 12 · 3 = 36;
A = 50 · ( 1 + 0.06/12) ^(36) =
= 50 · 1.005^(36) = 59.834 ≈ $59.83
Answer:
Option B.
Step-by-step explanation:
The given expression is
We need an expression Which represents the same solution as the given expression.
It can be written as
Since
is equivalent to given equation, therefore this equation represents the same solution as the given expression.
Hence, option B is correct.
Answer: 36
Step-by-step explanation: