Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
⅓x² +11x-75<105
⅓x² +11x-75-105<0
⅓x² +11x -180<0
x² +33x - 540<0
(x+45)(x-12)<0
(x-12)<0 or (x+45)>0
x<12 or x >-45
answer is A
Answer:
The large sample n = 1713.96
Step-by-step explanation:
<u>Explanation</u>:-
given the population proportion was estimated to be 0.22
population proportion (P) = 0.22
The 95 % level of significance = 1.96≅ 2
The margin of error = 0.02
The formula of margin error
… ( i )
Substitute 'p' values in equation (1)
cross multiplication and simplification, we get
squaring on both sides, we get
the large sample n = 1713.96
Answer:
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