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17.06.2021 •
Mathematics
HELP PLZ, im doing a quiz and i need answers!
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Ответ:
x= 38 degrees
Step-by-step explanation:
angle 2 and angle 3 is a straight line which is 180 degrees.
So,
4x + 28 = 180
4x = 180 -28
4x = 152
x= 152/4
x=38
Ответ:
38°
Step-by-step explanation:
3 and 2 would have to equal 180 in total, so
if 3 is 28 then 4x=180-28=152
4x=152
152/4 is equal to 38,
So x=38
To check: 38*4=152 ; 152+28=180
Ответ:
y - 2 = -8(x + 8)
Step-by-step explanation:
Parallel lines have equal slope
Therefore, the slope of the line that passes through (-8, 2) is equal to -8 which is also the slope of the line parallel to it.
The slope of a line is given by
m = (y - y1) / (x - x1)
m = -8
Point (-8, 2) corresponds to (x1, y1)
Therefore, x1 = -8; y1 = 2
In, m = (y - y1) / (x - x1), we substitute the known values
-8 = (y - 2) / (x - (-8))
-8 = (y - 2) / (x + 8)
Cross multiply
y - 2 = -8(x + 8)
The point-slope form of the equation of a line is written as
y - y1 = m(x - x1)
In comparison,
y - y1 = m(x - x1) is equivalent to
y - 2 = -8(x + 8)
Therefore, the point-slope form of the line that passes through (-8, 2) and is parallel to a line with a slope of -8 is
y - 2 = -8(x + 8)