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Leading Coefficient and Degree of Polynomial -9u⁴ + 12u⁸ - 12 + 5u
Keywords:
leading coefficient, degree of polynomial, polynomial terms, monomial degree, algebra
This problem calculates the leading coefficient (12) and degree (8) of the polynomial \( -9u^4 + 12u^8 - 12 + 5u \) by analyzing term degrees and the leading term’s coefficient.
High School Math - Hinge Theorem to Solve for x in Angle Inequality
Keywords:
Hinge Theorem, SAS Inequality, angle inequality, solving for x, high school math
This problem uses the Hinge Theorem (SAS Inequality) to determine the inequality for \(x\), given two triangles with congruent sides (length 7) and different included angles (\(10^\circ\) and \(\frac{1}{8}x^\circ\)) and third sides (13 and 21). The solution is \(x > 80\).
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