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3 years ago

Which best explains whether or not all isosceles triangles are similar?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

5 0

Answer:

C: All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

Step-by-step explanation:

An Isosceles triangle is one that 2 of it's sides are equal and thus two of its angles are congruent which means they are equal.

Now, another Isosceles triangle may not necessarily be similar to another one because the congruent angles in one Isosceles triangle may not be the same with that of another Isosceles triangle.

Thus, correct answer is option C

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son4ous [18]

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$\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}$
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Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:
$\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}$
When we do all the calculations we find that:
$\overline{x}=123.8\\ \sigma=11.84$
Now we can find confidence intervals:
$($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\$
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing

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3 years ago

Which equation could be used to solve problems involving the relationships between the angles?

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

The answer is B I just had this question

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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jonny [76]

Answer:

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Step-by-step explanation:

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