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Classify the triangle by its sides, and its angles

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Find missing angles in triangles

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Q. Classify the triangle by its sides, and its angles

Classify Triangle by Angles: First, let's classify the triangle by its angles. We already know one angle is $110^\circ$ , and we have found the other two angles to be $20^\circ$ and $50^\circ$ . We can classify the triangle by its angles based on these measures.
Identify Obtuse Triangle: Since one angle is greater than $90^\circ$ ( $110^\circ$ ), the triangle is an obtuse triangle because it has one angle that is obtuse.
Classify Triangle by Sides: Now, let's classify the triangle by its sides. To do this, we need to know the lengths of the sides, which have not been provided. However, we can still determine the type based on the angle measures.
Determine Scalene Triangle: Since the angles are all different, the sides opposite these angles must also be different. This means the triangle cannot be equilateral (all sides equal) or isosceles (two sides equal). Therefore, by default, it must be scalene, which means all sides have different lengths.

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You pick a card at random, put it back, and then pick another card at random.

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10\text{-kg}

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10-\mathrm{kg}

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10\text{-kg}

bucket is lifted from the ground to a height of

14\text{ m}

at a constant speed with a rope that weighs

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9.8\text{ m/s}^2

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

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\begin{array}{l}f(t)=\left\{\begin{array}{ll}-\frac{64}{t} & , \quad t=8 \\ 14-t & , \quad t=10 \\ t^{2}-3 t+2 & , \quad t \neq 8,10\end{array}\right. \\ f(2)=\square\end{array}

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Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant