The answer would be (C).
To be fully simplified, the numerator and denominator must have a GCF of 1.
Answer (C) says 3/57. However, using the divisibility rule of 3 (add the digits together, and if the sum is a multiple of 3, then the number is as well), we see that 57 is divisible by 3, meaning this fraction is not simplified. The simplified version would be 1/19.
Answer:
Parks, then dental offices, and finally diners
Step-by-step explanation:
Parks = 50%
Diners = 20%
Dental offices = 30%
Order the place in order of decreasing probability.
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Answer:
c^3 + c^2 - 7c + 20
Step-by-step explanation:
First, expand the expression using distributive property.
c^2(c+4) - 3c(c+4) + 5(c+4)
c^3 + 4c^2 - 3c^2 - 12c + 5c + 20
Lastly, simplify like terms.
c^3 + c^2 - 7c + 20
The maximum possible volume of this type of box that can be made from a 20 cm by 20 cm square of paper is 512cm³.
<h3>How to calculate the volume?</h3>
From the information, when the side of 1cm are cut, this will become an open box. The volume will be:
= 18 × 18 × 1
= 324cm³
Also, when 2cm is cut, the volume will be:
= 16 × 16 × 2
= 512cm³
Learn more about volume on:
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Answer: . To prove triangles are similar, you need to prove two pairs of corresponding angles are congruent
Step-by-step explanation:
SSS similarity postulate
The SSS similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional then the triangles must be similar.
In the given figure , we have two triangles ΔABC and ΔXYZ such that the corresponding sides of both the triangles are proportional.
i.e.
Then by SSS-similarity criteria , we have
ΔABC ≈ ΔXYZ
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