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3 years ago

Two angles form a linear pair. One angle measures 8 less than three times the other. Find the measures of the angles.

Mathematics

1 answer:

Naddik [55]3 years ago

3 0

Answer:

47⁰, 133⁰

Step-by-step explanation:

Angles : x , 3x - 8

Sum = 180

x + 3x - 8 = 180

4x = 188

x = 47

Angles are 47 , 133

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2 years ago

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pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

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$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

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