Line a is parallel to line b and m<5 = 144 find m<3
5 answers
Since line a is parallel to line b, and angle 5 is 144 degrees, then angle 3 is also 144 degrees. Since corresponding angles are congruent when lines are parallel, angle 3 and angle 5 are congruent. So, m<3 = 144 degrees.
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Which is the equation in slope-intercept form of the line that contains points E and F?
Which is the equation in slope-intercept form of the line that contains points E and F?
To find the equation of the line that contains points E and F, we first need to find the slope of the line using the coordinates of the two points.
Let Point E be (x1, y1) = (x, 1) and Point F be (x2, y2) = (3, -3).
The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
m = (-3 - 1) / (3 - 1)
m = -4 / 2
m = -2
Now that we have the slope, we use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Picking Point E as the point to substitute in, we get:
y - 1 = -2(x - x)
y - 1 = -2x - 2
y = -2x - 1
Therefore, the equation of the line in slope-intercept form that contains points E and F is y = -2x - 1.
Let Point E be (x1, y1) = (x, 1) and Point F be (x2, y2) = (3, -3).
The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
m = (-3 - 1) / (3 - 1)
m = -4 / 2
m = -2
Now that we have the slope, we use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Picking Point E as the point to substitute in, we get:
y - 1 = -2(x - x)
y - 1 = -2x - 2
y = -2x - 1
Therefore, the equation of the line in slope-intercept form that contains points E and F is y = -2x - 1.
What is the next step in this construction?
Place the compass on point E and draw a small arc below the line and beneath point R.
Use a straightedge to connect point R with the arc below the line.
Measure the distance from point R to point E using a compass.
Place the compass on point R and draw a small arc above the line.
Place the compass on point E and draw a small arc below the line and beneath point R.
Use a straightedge to connect point R with the arc below the line.
Measure the distance from point R to point E using a compass.
Place the compass on point R and draw a small arc above the line.
The next step in this construction would be to place the compass on Point R and draw a small arc above the line.