Answer:
The 3 lines are parallel.
Step-by-step explanation:
To draw the lines with the slope of 1/3 choose any point and mark it, then go up 1 square and right 3 squares and mark that point. Draw a line connecting those 2 points. Now choose another point and do the same thing. Then once more. Lines with the same slope are parallel.
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Answer:
corporate team-building event cost will cost $98
Step-by-step explanation:
A corporate team-building event costs $32, plus an additional $1 per attendee.
Let cost be C
The expression for the above statement
C($)= 32+n(1)
Where n is the number of attendees
So a situation where there are 66 attendees, the total cost will be
C($) = 32 +66(1)
C($) = 32+66
C($)= 98
Answer:
60 degrees
Step-by-step explanation:
Restructured question:
The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.
First you must know that the sum of interior angle of a triangle is equal to the exterior angle
Interior angles = x−14 and x+4
Sum of interior angles = x-14 + x + 4
Sum of interior angles = 2x - 10
Exterior angle = 3x - 45
Equating both:
2x - 10 = 3x - 45
Collect like terms;
2x - 3x = -45 + 10
-x = -35
x = 35
Get the exterior angle:
Exterior angle = 3x - 45
Exterior angle = 3(35) - 45
Exterior angle = 105 - 45
Exterior angle = 60
Hence the measure of the exterior angle is 60 degrees
<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>
The rockets rate of change in miles per second is:
(5 - 1)/(2.5*60 - 30) = 1/30 miler per second or 0.033
the rockets rate of change in miles per minute is:
(5 - 1)/(2.5 - 30/60) = 2 miles per minute
