Q. Is supplement of an angle is acute?
Possibilities of a supplementary angle A supplementary angle can be composed of one acute angle and another obtuse angle. Illustration: ∠ θ and ∠ β are supplementary angles because they add up to 180 degrees. ∠ θ is an acute angle, while ∠ β is an obtuse angle.
Q. Is the supplement of an acute angle always greater than adjacent?
but an acute angle is always less than 90 degrees, so two acute angles cannot add up to equal 180 degrees/be supplementary. They ‘supplement’ each other to make the total equal 180 degrees.
Q. Are two angles that are congruent are adjacent?
Never, Sometimes, Always
| Question | Answer |
|---|---|
| Two angles that are adjacent share the same vertex | Always |
| Two angles that are congruent are adjacent | Sometimes |
| Two planes that are parallel contain the same point | Never |
| An acute angle and its supplement are congruent | Never |
Q. Which equation represents the line that passes through the point and is perpendicular to?
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
Q. What is the equation of the line that is parallel to the line 5x 2y equals 12 and passes through the point?
The equation 5x – 2y = -12 is in standard form Ax + By = C where A = 5, B = -2 and C = -12. The slope of a line in Standard form is m = -A / B therefore the slope is -5 / -2 or 5/2. y – 3 = (5/2) (x – -2) or y – 3 = (5/2) (x + 2). You might be expected to write the equation in Slope-Intercept form or Standard form.
Q. What is the slope of a line parallel to the line whose equation is 5x y =- 9?
5
Q. What is the equation of the line that is parallel to the given line and passes through the point 2 3 )?
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)? x + 2y = 4.
Q. What is the equation of the line that is parallel to the line 5x 2y?
A line is parallel to another line means that slope of both the lines myst be same. ie . if m is slope of lines then lines musit be of the form y=mx+c and y=mx+d. any line parallel to this line will be of the form 5x+2y=c ,where c is arbitary constant.
Q. Which equation represents a line which is parallel to the line 2y 5x =- 10?
whose equation is 2y − 5x = 10? y-intercept of 5. Example: y = (5/2)x + 7 is parallel to the given line.
