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2 years ago

> In the diagram below, AC = 4, AB = 6 and BC = 8. Is segment AB tangent to OC.

Mathematics

1 answer:

uysha [10]2 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

The ratios of triangle side lengths are ...

4 : 6 : 8 = 2 : 3 : 4

This is an arithmetic progression.

The only arithmetic progression of side lengths that makes a right triangle is ...

3 : 4 : 5

The triangle is not a right triangle, so AB is not a tangent.

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Step-by-step explanation:

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2 years ago

Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is t

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Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

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From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

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z = 14+2

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This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

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> In the diagram below, AC = 4, AB = 6 and BC = 8. Is segment AB tangent to OC.​

> In the diagram below, AC = 4, AB = 6 and BC = 8. Is segment AB tangent to OC.