131° Basically, add the two given angles and subtract from 180°. Here 57 + 74 =131, 180 131 = 49. – Note that the lines are parallel, as indicated by the "greater than" or arrow-like signs in each. Consider the angles of triangle ABC: BAC = 57° ABC = 74° (alternate to the given angle) ACB = 180° (57° + 74° ) = 49° – Because they lie along the same line, angle ACB + angle y = 180° y° = 180° 49° = 131° – Test 11 Q 12 is a secret to decimal placement? – What does 2.37 X 104 equal? 23,700 0.237 0.000237 Test 10 Q 10 The function f is defined by f(x) = (x + 1)2 For what value of a does f(a + 1/3) = f(a 3) ? – 0 3 1/3 -41/3 f(a + 1/3) = f(a 3) – (a + 1/3 + 1)2 = (a 3 + 1)2 – (a + 4/3)2 = (a 2)2 – a2 + 8/3a + 16/9 = a2 4a + 4 –
131° Basically, add the two given angles and subtract from 180°. Here 57 + 74 =131, 180 – 131 = 49. Note that the lines are parallel, as indicated by the "greater than" or arrow-like signs in each. Consider the angles of triangle ABC: BAC = 57° ABC = 74° (alternate to the given angle) ACB = 180° – (57° + 74° ) = 49° Because they lie along the same line, angle ACB + angle y = 180° y° = 180° – 49° = 131° Test 11 Q 12 – is a secret to decimal placement? What does 2.37 X 104 equal? 23,700 0.237 0.000237 Test 10 Q 10 The function f is defined by f(x) = (x + 1)2 For what value of a does f(a + 1/3) = f(a – 3) ? 0 3 1/3 -41/3 f(a + 1/3) = f(a – 3) (a + 1/3 + 1)2 = (a – 3 + 1)2 (a + 4/3)2 = (a – 2)2 a2 + 8/3a + 16/9 = a2 – 4a + 4
mtle_math_map.docx