Which congruency theorem can be used to prove that △GHL ≅ △KHJ?
2 answers:
Answer:
B. ASA (Angle-Side-Angle).
Step-by-step explanation:
We have been given a diagram and we are asked to find the congruence theorem, which will prove that △GHL ≅ △KHJ.
Upon looking at our diagram we can see that side length GH of △GHL is equal to side length KH of △KHJ.
We are also given that .
We can see that is vertical opposite angle of
as they are formed by the intersection of line segments GK and JL. Therefore,
, by vertical angles theorem.
We can see that both triangles have two congruent angles and one congruent included side, therefore, △GHL ≅ △KHJ by ASA congruence and option B is the correct choice.
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Answer:
See proof
Step-by-step explanation:
Statements Reasons
1. bisects
Given
2. Definition of angle bisector
3. Reflexive property of equality
4. AAS postulate
5. Congruent triangles have congruent corresponding sides
6. Reflexive property of equality
7. SAS postulate
8. Congruent triangles have congruent corresponding sides
Answer:
Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.
Step-by-step explanation:
La cantidad ahorrada bajo interés compuesto está definida por la siguiente fórmula:
(1)
Donde:
- Capital inicial, medido en pesos.
- Capital actual, medido en pesos.
- Tasa de interés, sin unidad.
- Anualidad, medida en años.
Asumiendo que la tasa de interés compuesto es anual y si ,
y
, entonces el capital inicial es:
Se necesita depositar un capital inicial de $ 5096.83 pesos para lograr $ 500000 pesos a un interés compuesto de 14 % anual luego de 35 años.