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3 years ago

Rick's cat weighs 7 pounds. His neighbor says her puppy weighs 103 ounces.

Mathematics

1 answer:

Harrizon [31]3 years ago

5 0

Answer:

1. Yes

2. 112 ounces

Step-by-step explanation:

To answer this question, we should first convert the amount of pounds Rick's cat weighs into ounces, so that both measurements are in the same unit. Since 1 pound is the same as 16 ounces, we can multiply 7 pounds by 16 ounces:

7 * 16 = 112

So, Rick's cat weighs 112 ounces, which is more than his neighbor's puppy, which only weighs 103 ounces. so for the first question, the answer is:

Yes, Rick's cat weighs more than the puppy.

And the second answer is:

Rick's cat weighs 112 ounces.

Hope this helps :)

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Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

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Repeat for the other triangle as well

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Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

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Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

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