Answer:
You can use the ASA Postulate to prove the Angle-Angle-Side Congruence Theorem. A flow proof is shown below. If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.
Step-by-step explanation:
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Answer:
The answer is $59.89 after sales tax.
Step-by-step explanation:
Without any extra conditions, the answer could be 3, and the simplest polynomial with the given roots would be
(<em>x</em> + 5) (<em>x</em> - (1 + 4<em>i</em> )) (<em>x</em> + 4<em>i</em> )
= <em>x</em> ³ + 4<em>x</em> ² + (11 - 4<em>i</em> ) <em>x</em> + 80 - 2<em>i</em>
<em />
If the polynomial is supposed to have only <em>real</em> coefficients, then any complex roots must occur along with their complex conjugates:
(<em>x</em> + 5) (<em>x</em> - (1 + 4<em>i</em> )) (<em>x</em> - (1 - 4<em>i</em> )) (<em>x</em> + 4<em>i</em> ) (<em>x</em> - 4<em>i </em>)
= <em>x</em> ⁵ + 3<em>x</em> ⁴ + 23<em>x</em> ³ + 133<em>x</em> ² + 112<em>x</em> + 1360
and then the degree would be 5.
Answer:
8
Step-by-step explanation:
Given
(m + n)³ ← substitute m = 1, n = 1 into the expression
= (1 + 1)³ = 2³ = 2 × 2 × 2 = 8
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