(01.07, 02.01 MC) Brian solved the following equation: 6(3x – 5) = 4(4x + 2) Step Work Justification 1 18x – 30 = 16x + 8 2 2x –
30 = 8 3 2x = 38 4 x = 19 Which of the following has all correct justifications Brian used to solve this equation? 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative inverse. 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative property of equality.
In the right triangle, the longest side is the hypotenuse. Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:
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In a triangle, the three interior angles always add to 180° ⇒
