The correct pair is option E, which is:
FH ≅ FH - reflexive property
ΔGFH ≅ ΔEFH - SAS theorem
<h3>What is the SAS Congruence Theorem?</h3>
The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.
<h3>What is the Reflexive Property?</h3>
The reflexive property of geometry states that an angle or line will always be congruent to itself.
In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.
The missing pair of reasons that completes the proof are:
FH ≅ FH - reflexive property
ΔGFH ≅ ΔEFH - SAS theorem
Learn more about the SAS theorem on:
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Answer:
H0 : P ≤ 0.12
H1 : P > 0.12
Step-by-step explanation:
12% = 12/ 100 = 0.12
Given the population proportion, P = 0.12
The claim is the alternative hypothesis, H1 ; which is to test if more than 12% of trees have been infested.
Hence, the alternative hypothesis will be ;
H1 : P > 0.12
The null hypothesis which is the initial truth is always the opposite of the alternative hypothesis, Therefore, we write our null as ;
The null hypothesis ; H0 : P ≤ 0.12
Therefore, we have :
H0 : P ≤ 0.12
H1 : P > 0.12
<span>It is clear to see that 0.0259 is less than 0.05. A p-value that is less than the confidence level of alpha indicates that there is sufficient evidence from the data that the null hypothesis should be rejected in favor of an alternative hypothesis.</span>
The answer is -3, hope this helps!
Answer:
its 50
Step-by-step explanation: