Someone help me Solve x
2 answers:
Answer:
<em>x = 12</em>
Step-by-step explanation:
<u>Angles and Lines</u>
The figure attached below has been completed with the angle y to support the calculations to come.
The sum of the interior angles of a rectangle is 180°. Applying on triangle PQR:
30 + 4x + 2 + y = 180
Simplifying:
32 + 4x + y = 180
Solving for y:
y = 180 - 32 - 4x
y = 148 - 4x
Angles y and 8 + 6x are a linear pair, i.e. their sum is 180°, thus:
y + 8 + 6x = 180
Substituting y from the equation above:
148 - 4x + 8 + 6x = 180
Simplifying:
156 + 2x = 180
Dividing by 2:
78 + x = 90
Subtracting 78:
x = 90 - 78
x = 12
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First, you want to identify the slopes and y-int.
Equation 1 = y = -2x + 2
Slope = -2
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Equationt 2 = y = 2x + 3
Slope = 2
Y-int. = 3 or (0,3)
To graph, first plot the y-intercepts. Then do the slopes.
Slope = -2
Down 2 over 1 (to the right)
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Then just connect the dots in a line!
