What is y=x-4;(-2,3)
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The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"
so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it
now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker
now, recall your d = rt, distance = rate * time
solve for "c", to see what's the current's speed
what's "b"? well 20+c = b
so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it
now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker
now, recall your d = rt, distance = rate * time
solve for "c", to see what's the current's speed
what's "b"? well 20+c = b
Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
Learn more about the angle addition postulate on:
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