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Answer:
The general equation of the lines that are perpendicular is:
b can by any number.
Step-by-step explanation:
The equation of a line is given by:
where m is the slope and b is the intercept
The equation of a perpendicular line to the previuos one is:
That means that the slope of a perpendicular line is inverse and sign opposite to the other line.
Hence, the equation given is:
m would be:
m=1
So the perpendicular slope would be:
The general equation of the lines that are perpendicular to y=x+3 is:
b can be any number
In attached picture:
y=x+3 is the red line
y=-x+b is the blue line
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Answer:
m∠BGC = 16x - 4
m∠CGD = 2x + 13
m∠BGC + m∠CGD sums up to 90°, therefore:
(16x - 4) + (2x + 13) = 90
Combine like terms and simplify:
16x + 2x - 4 + 13 = 90
18x - 4 + 13 = 90
18x + 9 = 90
18x = 81
18x/18 = 81/8
x = 4.5