Answer is C) 6
36 + 3(4x - 9) = 6(2x + 1)
36 + 12x - 27 = 12x + 6
12x - 12x = 6 - 9
0 ≠ -3
No solution
Factor the following:
10 y^2 - 35 y + 30
Factor 5 out of 10 y^2 - 35 y + 30:
5 (2 y^2 - 7 y + 6)
Factor the quadratic 2 y^2 - 7 y + 6.
The coefficient of y^2 is 2 and the constant term is 6.
The product of 2 and 6 is 12.
The factors of 12 which sum to -7 are -3 and -4. So 2 y^2 - 7 y + 6 = 2 y^2 - 4 y - 3 y + 6 = y (2 y - 3) - 2 (2 y - 3):
5 y (2 y - 3) - 2 (2 y - 3)
Factor 2 y - 3 from y (2 y - 3) - 2 (2 y - 3):
Answer: 5 (2 y - 3) (y - 2)
Applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
<em><u>Recall:</u></em>
- Alternate angles are congruent and have equal angle measures.
- Angles on a straight-line = 180 degrees.
<em>The diagram showing the information and sketch of the Highland Park is attached below (see attachment).</em>
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<em><u>Thus:</u></em>
m<BAC = 36° (given)
m<BCE = 60° (given)
<ACD = <BAC (alternate angles)
m<ACD = 36°
m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)
m<ACB = 180° - (36° + 60°)
m<ACB = 84°
Thus, applying the definition of alternate angles and angles on a straight-line: <u>m<ACB = 84°.</u>
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