<em>In base four, each digit in a number represents the number of copies of that power of four. That is, the first digit tells you how many ones you have; the second tells you how many fours you have; the third tells you how many sixteens (that is, how many four-times-fours) you have; the fourth tells you how many sixty-fours (that is, how many four-times-four-times-fours) you have; and so on.
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Answer:
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Step-by-step explanation:
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Answer:the distance between the two cities is 100 miles
Step-by-step explanation:
Let x represent the distance between New York and Philadelphia.
Let t represent the time it takes to travel from New York to Philadelphia at 50 mph
Distance speed × time
time = distance/speed
To travel from New York to Philadelphia at 50 mph,
x = 50t
it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that
x = 60(t - 1/3) = 60t - 20
Since the distance is the same,
60t - 20 = 50t.
60t - 50t = 20
10t = 20
t = 20/10 = 2
Therefore
x = 50t = 50 × 2 = 100 miles
5x-8< -18
+8 on both sides
5x< -10
X< -2
Answer:
x || t, [Given]
[Given] ......[1]
Transversal defined as a line that cuts across two or more Parallel lines.
When two parallel lines are cut by a transversal, then the pairs of corresponding angles are equal in measure.
[Corresponding Angle theorem] ......[2]
Substitute value [1] in [2] we have;
[Substitution Property]
When two lines are cut by a transversal and the alternate exterior angles are equal in measure, then the lines are parallel.
k || w [ By Alternative Exterior Angle Theorem] Hence proved!
