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4 years ago

Which best describes why these two figures are similar or not similar?

Mathematics

2 answers:

Leno4ka [110]4 years ago

8 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Before moving to the answer, we must be familiar with the concept of similar triangles.

Please refer the diagram I have attached.

Two triangles are called similar if their corresponding angles are congruent and the corresponding sides are in proportion.

As we can see in diagram I have attached, both triangles have corresponding angles congruent, means

$angle A = angle E$

$angle B =angle F$

$angle C = angle G$

Hence both triangles are similar.

Now coming back to our question, as we can see, there is no angle is congruent in both triangles, so these are not similar triangles.

Hence, they are not similar because their corresponding angles are not congruent. : Answer

bekas [8.4K]4 years ago

6 0

Answer: They are not similar because their corresponding angles are not congruent.

Step-by-step explanation:

We know that : When two triangles are similar , the their corresponding angles are congruent.

i.e. Corresponding angles of two similar triangles must have equal measures.

From the given picture , we can see that angles in ΔPQR are completely different from ΔSTU.

⇒ ΔPQR is not similar to ΔSTU.

Therefore , the given triangles are not similar because their corresponding angles are not congruent.

Correct answer : They are not similar because their corresponding angles are not congruent.

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a) There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, there is a 2.2% probability that the person is 65 or older.

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We have these following percentages:

5.3% of those under the age of 18, 12.6% of those ages 18–64, and 1.3% of those 65 and older do not have health insurance.

22.6% of people in the county are under age 18, and 62.1% are ages 18–64.

(a) What is the probability that a randomly selected person in this country is 65 or older?

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The rest are above 65

100% - (22.6% + 62.10%) = 15.3%

There is a 15.3% probability that a randomly selected person in this country is 65 or older.

b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older?

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So, what is the probability that a person is 65 and older, given that the person is uninsured.

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P(A/B) is the probability is uninsured, given that that person is 65 and older. So $P(A/B) = 0.013$

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$P(A) = 0.053*(0.226) + 0.126*(0.621) + 0.013*(0.153) = 0.0922$

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.153*0.013}{0.0922} = 0.022$

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