Algebra, arithmetic, reasoning.
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Complementary angles sum to 90°.
Thus, 90° - 38° = 52°.
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A cube has six square faces, each of area 25 cm².
Thus, total area is 6 × 25 = 150 cm².
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A set with n elements has 2ⁿ subsets.
For n = 5, this is 2⁵ = 32.
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There are 4 choices for the first digit, then 3, then 2.
Thus, 4 × 3 × 2 = 24.
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An exterior angle equals the sum of the two remote interior angles.
It is supplementary to the adjacent interior angle.
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Supplementary angles sum to 180°.
Thus, 180° - 125° = 55°.
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Cuboid volume is length × width × height.
Thus, 8 × 5 × 3 = 120 cm³.
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Use n(M ∪ E) = n(M) + n(E) - n(M ∩ E).
Thus, 22 + 18 - 8 = 32.
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There are 5 letters with L repeated twice and E repeated twice.
Distinct arrangements = 5!/(2!2!) = 30.
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A quadrilateral can be divided into two triangles.
Thus, its angle sum is 2 × 180° = 360°.
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Vertically opposite angles are equal.
Therefore, the opposite angle is 72°.
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Cylinder volume is πr²h.
Thus, π × 9 × 10 = 90π cm³.
