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Ann [662]
3 years ago
10

Find the distance between each pair of numbers on the number line; then find the coordinate of their midpoint.

Mathematics
2 answers:
dexar [7]3 years ago
8 0

9514 1404 393

Answer:

  • distance: 31/24 = 1 7/24
  • midpoint: -1/48

Step-by-step explanation:

The distance between the points is the difference of their coordinates:

  5/8 -(-2/3) = 15/24 +16/24 = 31/24 = 1 7/24

__

The midpoint is the average of the two coordinates: half their sum.

  (5/8 +(-2/3))/2 = (15/24 -16/24)/2 = (-1/24)(1/2) = -1/48

quester [9]3 years ago
4 0

Answer:

d = 1 7/24 or 31/24;  midpoint would be half of that,or 31/48

Step-by-step explanation:

Since distance is absolute value, add 2/3 and 5/8 to get the entire distance.  Midpoint is that distance divided by 2.

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Question 2
xz_007 [3.2K]

The correct answer is: x = 8 (Option D)

Explanation:

Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).

It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,

BC = 20

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Since,

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3x = 20+4

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Hence the correct answer is: x = 8

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