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DanielleElmas [232]
3 years ago
9

Drag each scenario to show whether the final result will be greater than the original

Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

A $20 decrease followed by a $20 increase - original value

A 75% decrease followed by a 50% increase - less than the original value

A 50% increase followed by a 33 1/3% decrease - greater than the original value

A 60% increase followed by a 40% decrease - greater than the original value

A 100% increase followed by a 33 1/3% decrease - greater than the original

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You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu
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Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to 180^{o}.

Let the exterior angle be represented by x^{o}, and the three interior angles of the triangle be represented by a^{o}, b^{o} and c^{o}.

Assume that the vertex angle c^{o} is the linear pair to the exterior angle x^{o}.

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Thus,

i. a^{o} +  b^{o} = x^{o}  (sum of two opposite interior angles is equal to an exterior angle)

⇒ a^{o}  = x^{o} - b^{o}

Also,

b^{o}  = x^{o} - a^{o}

But,

a^{o} + b^{o} + c^{o} = 180^{o}   (sum of angles in a triangle)

⇒ c^{o} = 180^{o} - (a^{o} +  b^{o})

and

a^{o} + b^{o} = 180^{o} - c^{o}

ii. a^{o} + b^{o} + c^{o} = 180^{o}   (sum of angles in a triangle)

a^{o} = 180^{o} - (b^{o} + c^{o})

Also,

a^{o} +  b^{o} = x^{o}

⇒ b^{o} = x^{o} - a^{o}

c^{o} = 180^{o} - x^{o}

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