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Need help with question 11 and 12

Need help with question 11 and 12-example-1
User Jnsnsml
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1 Answer

4 votes

Answer:

11. your choices are correct

12. 132°

Explanation:

11. The given equations can be (re)written to slope-intercept form. Only those lines with a slope of 2 will be parallel to the given line.

A: y = 2x -8 . . . . . slope = 2, an answer

B: y = -2x +1 . . . . . slope = -2, not an answer

C: y = -2x +7 . . . . .slope = -2, not an answer

D: y = 2x +2 . . . . . slope = 2, an answer

E: y = -2x -9 . . . . . slope = -2, not an answer

__

12. The marked angles are supplementary, so ...

(3x -6)° +(x +2)° = 180°

4x -4 = 180 . . . . . . . . . . . divide by °, collect terms

x -1 = 45 . . . . . . . divide by 4

x = 46 . . . . . . . . . add 1

Now, we can find the angle of interest.

∠PQR = (3x -6)° = (3·46 -6)°

∠PQR = 132°

User Chris Fu
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