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2 years ago

Which inequality statement describes the relationships between the sides of the triangle?

Mathematics

2 answers:

IceJOKER [234]2 years ago

5 0

D) YZ > XZ > XY. Just took the quiz myself.

Nikitich [7]2 years ago

4 0

Answer:

The correct inequality is YZ > XZ > XY

Step-by-step explanation:

Given the triangle XYZ

∠Y=60°, ∠Z=35°

we have to choose the inequality statement describes the relationships between the sides of the triangle

First we have to find the angle ∠X

By angle sum property of triangle

∠X+∠Y+∠Z=180°

∠X+60°+35°=180°

∠X=180-60-35=85°

By theorem angle opposite the longer side of triangle will be larger than the angle opposite the shorter side.

As ∠X > ∠Y > ∠Z

⇒ YZ > XZ > XY

Hence, option D is correct.

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1 year ago

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sergeinik [125]

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2 years ago

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Step-by-step explanation:

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2 years ago

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inna [77]

Answer: $\frac{16}{3}$

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs:

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$(-8)(-\frac{2}{3})$

You can idenfity that both factors are negative. Then, the product (The result of the multiplication) will be positive.

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2 years ago