Answer:
the SSS similarity theorem
Step-by-step explanation:
⇒ It cannot be the SAA similarity theorem as they only share a single common angle
⇒ It cannot be the HL similarity theorem, as the sides are not equal
⇒ It must be the SSS triangles
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<h3>What is the SSS similarity theorem?</h3>
It states that :
If the lengths of the corresponding sides of two triangles are proportional, then the two triangles are similar.
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Let's take the sides in proportion :
⇒ 15/5 = 3 (Hypotenuses)
⇒ 6+3/3 = 9/3 = 3 (Heights)
⇒ 8+4/4 = 12/4 = 3 (Bases)
As the sides are in proportion, the triangles are similar by the SSS similarity theorem.
Answer:
D) 40, 76, 86
Step-by-step explanation:
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Answer: Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the distribution of the sample is consistent with the distribution of the state populations.
Explanation:
The null and alternative hypotheses are:
The sample of 1000 subjects has a distribution that is consistent with the distribution of state populations.
The sample of 1000 subjects does not have a distribution that is consistent with the distribution of state populations.
Under the null hypothesis, the test statistic is:
From the attachment, we clearly see the chi-square statistic is:
Now we have to find the chi-square critical value at 0.05 significance level for df = n - 1 = 4-1=3. Using the chi-square distribution table, we have:
Since the chi-square statistic is greater than the chi-square critical value, we therefore reject the null hypothesis and there is sufficient evidence to warrant rejection of the claim that the distribution of the sample is consistent with the distribution of the state populations
Answer: 3<em>n</em> ants
Step-by-step explanation:
If there are n ants one month, and the ants triple every month, then next month there will be 3<em>n</em> ants.
We can multiply 3 by <em>n</em> to show it tripling.
To test this, 3(10,000) = 30,000 and 3(270,000) = 810,000, which corresponds to what you've filled out in the table.
