If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope . To do that we are going to use the slope formula: .
From our two points we can infer that , , , . Lets replace those values in the slope formula:
Now that we have our slope, we can use the slope-intercept formula:
We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is .
Answer:
The interior angles are 80°, 30° and 70°.
Step-by-step explanation:
The sum of interior angle of a triangle is 180°. Two exterior angle of the triangle is given as 100° and 150°. The exterior angle of a triangle is equal to the sum of the opposite interior angle. The exterior angle is the angle between one side of a triangle .
Since angle on a straight line = 180°
Two interior angles can be calculated as follows
180 - 100 = 80°
180 - 150 = 30°
2 interior angles are known.
Note the sum of interior angle of a triangle is 180°
since 2 interior angle are known the third angle can be calculated as follows
180 - 80 - 30 = 70°
The interior angles are 80°, 30° and 70°.
The cyclists average speed would be 15 miles an hour
