43. If L is the midpoint of KN an MP, which methods can be used to prove the triangles are congruent
1 answer:
Answer:
Step-by-step explanation:
Two triangles are said to be congruent if all their corresponding sides and corresponding angles are equal to each other.
Given that L is the midpoint of KN an MP, hence:
KL = LN; and ML = LN
Also, ∠KLM = ∠PLN (vertical opposite angles are congruent to each other)
Since ∠KLM = ∠PLN, KL = LN; and ML = LN, we can hence say that triangle KLM and triangle LNP are congruent triangles using Side-angle-side (SAS) triangle congruency theorem.
The SAS theorem states that if two sides and one included angle of one triangle is equal to two sides and an included angle of another triangle, then both triangle are congruent
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Answer:
<h2>A. The series CONVERGES</h2>Step-by-step explanation:
If is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.
If < 1, the series converges absolutely
If , the series diverges
If , the test fails.
Given the series
To test for convergence or divergence using ratio test, we will use the condition above.
aₙ₊₁/aₙ =
note that any constant dividing infinity is equal to zero
Since The limit of the sequence given is less than 1, hence the series converges.