Angela practices piano for 5 hours on Sundays amd for 3 hours on all other days of the week. How many hours doea Angela practice
1 answer:
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Answer:
a) The slope of the line is parallel to the another line m=4
b) The slope of the line is perpendicular to the another line m=
Step-by-step explanation:
Step1:-
<u>Slope of a line</u><u> :-</u>
If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ
The slope of a line given two points m=
<u>Parallel lines:-</u>
<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel
<u>Perpendicular lines:-</u>
<u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.
<u>Step 2</u>:-
a)The slope of a line when given two points (-1,-4) and (0,0)
<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel
Therefore the slope of the line that is parallel to the another line
<u>Step 3</u>:-
b) <u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.
Therefore the slope of the line is perpendicular to the another line is
A pair of the opposite sides of a hexagon has equal length and this is proved below.
<h3>How to illustrate the hexagon?</h3>It should be noted that a hexagon is a polygon that has six sides.
In this case, it has 6 sides.
The total angles will be:
= (n - 2) × 180
= (6 - 2) × 180
= 720°
Each angle will hence be:
= 720°/6
= 120°
Each angle are equal and this illustrates that the parallel sides are equal.
A diagram is attached to illustrate the pair of parallel sides.
Learn more about hexagon on:
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