Answer:
Nathan earned 100 points. he lost the trivia game by 5 points.
Step-by-step explanation
3 * 33 = 110 points earned
* 20 = 10 points lost
110-10 = 100
Nathan earned 100 points. he lost the trivia game by 5 points.
The drawing of a building shown below has a scale of 1 inch to 30 feet. what is the actual height, in feet, of the building? the
2 answers:
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Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.
Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.
Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.
So, the coordinates of the endpoint are
If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.
We have and
. The midpoint is computed as
So, you have the equations
Multply both equations by 2 to get
Move the constants to the right hand sides to get