What is the measure of the sector shaded above?
1 answer:
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Answer:
Step-by-step explanation:
Slope of line passing through and
is given by,
m =
From the graph attached,
Slope of the line passing through (-3, 0) and (0, 5) =
=
Line passing through a point (h, k) and slope 'm' will be,
y - h = m(x - k)
Since, line passing through (11, 0) is parallel to the line given in the graph,
Slope of the parallel line will be same as
Equation of a line passing through (11, 0) and slope =
y - 0 =
y =
Now satisfy this equation with the points given in the options,
Option (1)
For (1.67, -15.59),
-15.59 =
-15.59 = -15.55
False.
Therefore, given point doesn't lie on the line.
Option (2)
For (-0.33, -13.59)
-13.59 =
-13.59 = -18.88
False
Option (3)
For (0.67, -18.59),
-18.59 =
-18.59 = 17.22
False
Option (4)
For (1.67, -15.59)
-15.59 =
-15.59 = -15.55
False.
Therefore, none of the points given in the options are lying on the line.