Answer:
11. your choices are correct
12. 132°
Step-by-step 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
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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°
Answer:
3
Step-by-step explanation:
Common factors : what make up a number (they will be all prime)
6 - 2, 3
9 - 3,3
the common factor is three (its what they have in common)
Answer:
C
Step-by-step explanation:
In a parallelogram, consecutive angles are supplementary, sum to 180° , so
3y + 108 = 180 ( subtract 108 from both sides )
3y = 72 ( divide both sides by 3 )
y = 24 → C
Answer:
Step-by-step explanation:
Given
Required
Find 
From the attachment:
The measure of is calculated using the following expression:
Where
-- right-angled.
The expression becomes
