As there are two pairs of equal parallel sides, a rectangle has 2 lines of symmetry.
The converse of the conditional statement is that “If Q then P.” The contrapositive of the conditional statement is “If not Q then not P.” and the inverse of the conditional statement is “If not P then not Q
<h3>How to illustrate the information?</h3>
Conditional: If C, then D. (starting statement)
Inverse: If not C, then not D. (opposite of the conditional)
Contrapositive: If not D, then not C. (reversed opposite of the conditional)
Both the contrapositive and the inverse are opposites of the conditional as both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances.
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Answer: the rate of the passenger train is 100 mph.
Step-by-step explanation:
Let x represent the rate of the passenger train.
The rate of the freight train was 10 miles per hour slower than the rate of the passenger train. It means that the rate of the freight train is (x - 10) mph
The passenger train traveled 100 miles. It means that the time it took travel 100 miles is
100/x
In the same amount of time, it took a freight train to travel 90 miles. It means that the time it took travel 90 miles is
90/(x - 10)
Since the time is the same, then
100/x = 90/(x - 10)
Cross multiplying, it becomes
100(x - 10) = 90x
100x - 1000 = 90x
100x - 90x = 1000
10x = 1000
x = 100 mph
