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# Geometry Warmups

Mathematics is filled with shapes that are kaleidoscopic in variety. Wielded since ancient times, the power of geometry helps us examine and measure these shapes.

\[ 1^2 + 1^2 + 1^2 + 3^2 + 4^2 + 7^2 + 11^2 = \, ? \]

If lines \(l\) and \(m\) are parallel, then what is the value of angle \(x\) (in degrees)?

What fraction of the large square is shaded?

Note: Give your answer as a decimal to 2 decimal places.

The clock shown has hands positioned at 5 o'clock. What is the degree measure of angle \(x\)?

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