If the ship can travel to either dock, which dock would be closest? Explain your answer. Michael’s dock would be closer because
the angle opposite is smaller. Jacob’s dock would be closer because the angle opposite is smaller. Michael’s dock would be closer because the docks are 20 miles apart. Jacob’s dock would be closer because the docks are 20 miles apart.
2 answers:
Answer : Michael’s dock would be closer because the angle opposite is smaller
Michael and Jacob are standing on two docks that are 20 miles apart. They are watching a ship that is out in the ocean. The angle between the dock and the line connecting Michael and the ship is 48°, and the angle between the other dock and the line connecting Jacob and the ship is 37°.
Explanation:
the angle between the other dock and the line connecting Jacob and the ship is 37°. The side opposite to angle 37 will be smaller. The distance between Michael and Ship will be smaller than Jacob and ship.
So Michael’s dock would be closer because the angle opposite is smaller.
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Answer:
Last choice.
Step-by-step explanation:
To find the option that is equivalent to this equation, we can begin by narrowing down our options. The slope contains a negative number, meaning the second point must have a lower y value than the first.
Using this criteria, we can eliminate the first and the third answer. Now, we can test the second and fourth answer.
We can test using the slope formula and plugging in values. When the slope formula:
We get a slope of -5 for both of these equations. Let's plug in the point values to check whether they work:
Choice 2:
-24 = -5(4) + 4
-24 = -20 + 4
-24 ≠ -16
Choice 4:
-16 = -5(4) + 4
-16 = -20 + 4
-16 = -16
Therefore, choice 4 is correct!