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Karo-lina-s [1.5K]
4 years ago
13

Three of the vertices of a rectangle have coordinates (-1, -1), (6, -1), and (-1, 2). What are the coordinates of thefourth vert

ex?
Mathematics
1 answer:
Ivenika [448]4 years ago
6 0

Answer:

(6,2)

Step-by-step explanation:

Diagonals have the same midpoint

(6-1)/2, (-1+2)/2 = (-1+x)/2, (-1+y)/2

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The bascule bridge shown is opening from its horizontal position to its fully vertical position. So far, the bridge has lifted 3
Maslowich

The bascule bridge will take another <u>23 seconds</u> to reach its vertical position from its current lift position of 35°.

<h3>How is the time determined?</h3>

Using proportion or ratio, one can determine the additional seconds required by the bridge to achieve a vertical position.

The current lift position is 35°, which took 21 seconds.  This implies that the bridge's lift rate is <u>1.67° per second</u> (21/35°).  To lift to 90°, the bridge will take 54 seconds (1.67 x 90).  Since it has already taken 21 seconds, the bridge requires additional <u>23 seconds</u> (54 - 21) to complete the vertical lift.

<h3>Data and Calculations:</h3>

The vertical position of the bridge =  90°

The horizontal position =  0°

Current lift position = 35°

The time it took the bridge to lift 35° = 21 seconds

Therefore, the time it will take the bridge to reach its vertical position from its horizontal position of  90° is 54 seconds (21 x 90/35).

The additional time required by the bridge to reach its vertical position from its current position of 35° is 23 seconds (54 - 21).

Thus, it will take another <u>23 seconds</u> to reach its vertical position.

Learn more about speed, time, and distance at brainly.com/question/553636

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