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iren [92.7K]
3 years ago
14

Which postulate or theorem can be used to

Mathematics
1 answer:
sveticcg [70]3 years ago
4 0

Answer:

AA Similarity Postulate

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

step 1

Verify the proportion of the corresponding sides

\frac{PS}{PQ}=\frac{PT}{PR}

substitute

\frac{45}{20}=\frac{36}{16}

2.25=2.25 ----> is true

Corresponding sides are proportional

Triangle PQR is similar to Triangle PST

That means

Corresponding angles must be congruent

side QR is parallel side ST

and

m\angle PQR=m\angle PST ----> by corresponding angles

m\angle PRQ=m\angle PTS --> by corresponding angles

so

PQR is similar to PST by AA Similarity Postulate

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Answer: choice B

Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean

For answer choice A:

(root 2)^2 + (root 3)^2 = (root 4)^2

2 + 3 = 4

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For answer choice B:

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2 years ago
Mias dog weighs 32.6 pounds. Letties dog weighs 3.8 times as much as Mias you. What does Letties dog weigh in pounds?
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Hello!

We are given the weight of Mia's dog and told to find the weight of Lettie's dog based on the known relationship. Using these given values, we can create the following equation (let "w" represent the total weight of Lettie's dog):

w = 32.6(3.8)

Simplify the right side of the equation:

w = 123.88

We have now proven that Lettie's dog weighs 123.88 lbs.

I hope this helps!
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