The answer is 291.60 because you multiply 12 x 9 which equals 108 then multiply 108 x 2.70 which equals 291.60
Answer:
Parallel Line: y = 3x - 5
Perpendicular Line: y = -1/3x + 25/3
Step-by-step explanation:
The equation given is a linear equation in slope-intercept form, y = mx + b, where m = slope and b = y-intercept. With lines that are parallel to each other, they containt the same slope. So, to form an equation of a line that is parallel to the first equation, the slope = 3. Using the given point (4, 7), x = 4 and y = 7, we can use our slope-intercept form to solve for 'b':
7 = (3)(4) + b or 7 = 12 + b or b = -5
So, our equation for a parallel line would be: y = 3x - 5.
For perpendicular lines, the slope must be the opposite reciprocal of the slope from the first equation. So, if m = 3, than the slope of the perpendicular line must be - 1/3. Using the same point (4, 7) we can use our slope-intercept form to solve for 'b':
7 = (-1/3)(4) + b or 7 = -4/3 + b or b = 25/3
So, our equation for a perpendicular line would be: y = -1/3x + 25/3
Answer:
69
Step-by-step explanation:
Answer & Explanation:
As we know exterior angle of polygon is supplementary of the interior angle. So we will calculate interior angle first. Since decagon is regular so all angles will be same. Each exterior angle of a decagon will be 36°.
Start with x:
Since x and 57º make a straight line, x+57 = 180 (because a line is 180º). This says x=123º
Now for y:
Because lines m and n are parallel, y and 57º are alternate interior angles and have the same measure. y=57º
Finish with z:
Since y and z make a straight line, can you finish that one from here?
